Answer: y = 2
Good luck!
I need help solving this I thought it was 7 but I’m not too sure now
We are given a triangle such that two line segments are drawn as medians:
[tex]MX\text{ and YL are median lines}[/tex]A meadian line has three points that are off importance as follows:
[tex]\begin{gathered} \text{Strats from one of the vertex of a triangle} \\ \text{Passes through the centroid of the triangle} \\ Bi\sec ts\text{ the opposite side of the triangle} \end{gathered}[/tex]Hence, using the above information we can extract that:
[tex]\begin{gathered} Y\text{ is the mid-point of MK} \\ X\text{ is the mid-point of KL} \\ \text{\textcolor{#FF7968}{AND}} \\ A\text{ is the centroid of the entire triangle} \end{gathered}[/tex]We can also use the properties of median length that states:
[tex]\begin{gathered} \text{Length from vertex to centroid : Centroid to bisection point of opposite side} \\ \end{gathered}[/tex]The ratio of the above two lengths for any median line of a triangle remains true for:
[tex]2\text{ : 1}[/tex]This means that the line segment from centroid to bisection ( mid ) point of the opposite side is shorter than the preceeding length; hence, the ratio is ( 2 : 1 ).
We are given the length of the line segment MA the larger part of the median line:
[tex]MA\text{ = 14 units}[/tex]We can use the property of ratio of lengths for the median lines and determine the length of the smaller part of the median line as follows:
[tex]\begin{gathered} \text{ 2 : 1} \\ MA\text{ : AX} \\ ======== \\ AX\text{ = }\frac{MA}{2} \\ \\ AX\text{ = }\frac{14}{2}\text{ = 7 units} \end{gathered}[/tex]From the above property we determined the length of the shorter line segment. Now we have lengths for the both constituent line segments of median line ( MX ). We can simply sum the individual lengths as follows:
[tex]\begin{gathered} MX\text{ = AX + MA} \\ MX\text{ = 7 + 14} \\ \textcolor{#FF7968}{MX}\text{\textcolor{#FF7968}{ = 21 units}} \end{gathered}[/tex]Hence, the answer is:
[tex]\textcolor{#FF7968}{MX}\text{\textcolor{#FF7968}{ = 21 }}\textcolor{#FF7968}{\ldots}\text{\textcolor{#FF7968}{ Option C}}[/tex]Identify the correlation you would expect to see between the weight and the age of a child. Explain.
The correlation between the weight and the age of the child is negative.
Correlation
There are 4 types of correlation they are positive correlation, negative correlation, perfect correlation, and no correlation.
Given,
Here we need to find the correlation you would expect to see between the weight and the age of a child.
According to the type of correlation,
We know that, when the two variables are not related to each other then there is no relationship between the variables.
It is always based on the direction of the variable we decide the types of correlation.
Here the type of the correlation is negative correlation because the weight of a child decreases with age.
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Identify all pairs of congruent corresponding parts.Then write another congruence statement for the polygons.AABC ~ADEF
1) Congruent parts possess the same length, or measure (if angles).
2) As we can see, by the marks on the angles notation within each triangle we can state the following:
[tex]\begin{gathered} AB\cong ED \\ AC\cong DF \\ BC\cong EF \end{gathered}[/tex]Note that was possible since we could base ourselves on the measure of those angles.
3) Thus, we can state that these triangles as we can see, fall under the case of:
SSS - Side Side Side Congruence
Given that those three sides are congruent to each other.
The graph of a linear relationship passes through (0, 2), (1,5), and (3, 11) but not through (2,7). Which of the following is the equation for this linear relationship?A.O y = 2x + 3 B.O y = 3x + 2C. O y = 5xD. O y= 4x-1
There is a point that doesnt go in the curve.
So the procedure is to replace x by 2 ,and y by 7 in every option to see which doesnt belongs
So we see
(b) Antonio compares his plan to another friend, Brielle's. Given that both Antonio and Brielle will only be charged for full minutes, is there an amount of time when their two plans cost the same? Explain. ven that bo Brielle's plan: Monthly cost = 2(1.50m+12)+m-4 where m is the number of minutes used
Antonio's plan is
[tex]3(0.75m+10)+2.50m-15[/tex]Brielle's plan is
[tex]2(1.50m+12)+m-4[/tex]Then, we express both expressions as equivalent to finding the number of minutes needed to cost the same.
[tex]3(0.75m+10)+2.50m-15=2(1.50m+12)+m-4[/tex]First, we use the distributive property.
[tex]2.25m+30+2.50m-15=3m+24+m-4[/tex]Then, we reduce like terms.
[tex]4.75m+15=4m+20[/tex]Then, we subtract 4m on each side.
[tex]\begin{gathered} 4.75m-4m+15=4m-4m+20 \\ 0.75m+15=20 \end{gathered}[/tex]Now, we subtract 15 on each side.
[tex]\begin{gathered} 0.75m+15-15=20-15 \\ 0.75m=5 \end{gathered}[/tex]At last, we divide the equation by 0.75.
[tex]\begin{gathered} \frac{0.75m}{0.75}=\frac{5}{0.75} \\ m\approx6.67 \end{gathered}[/tex]This means after 6.67 minutes both plans will cost the same.
This decimal result means that both plans won't be equivalent because only full minutes are charged. In other words, at 6 minutes the plans are not equal.What is the equation of the line parallel to 3x + 5y = 11 that passes through the point (15, 4)?3x-29= 3x - 295y-y-x-21y--x+533y=-5* +13Mart this and returnSavond uit
Recall that two equations in standard form represent parallel lines if they are as follows:
[tex]\begin{gathered} Ax+By=C_1, \\ Ax+By=C_2, \end{gathered}[/tex]Where A>0, and all the coefficients are integers.
Therefore the equation of a parallel line to the given line is as follows:
[tex]3x+5y=k[/tex]Since the parallel line passes through (15,4) then:
[tex]3*15+5*4=k.[/tex]Simplifying the above result we get:
[tex]\begin{gathered} 45+20=k, \\ k=65. \end{gathered}[/tex]Therefore:
[tex]3x+5y=65.[/tex]Solving the above equation for y we get:
[tex]\begin{gathered} 3x+5y-3x=65-3x, \\ 5y=-3x+65, \\ \frac{5y}{5}=-\frac{3x}{5}+\frac{65}{5}, \\ y=-\frac{3}{5}x+13. \end{gathered}[/tex]Answer: Last option.
Answer:
D
Step-by-step explanation:
The slope of the the straight line equation 3x+5y=11 is (−35)Hence the slope of the line parallel is same to the given line i.e,(−35) We can write the equation in the following form slope intercept form i.e, y=mx+cHere c=−6 and m=−35The answer is y=−35x−6⇒5y=−3x−30⇒3x+5y=−30Hope it helps...Thanks you...
Find the equation of a line perpendicular to y = -3x + 5 that passes through the point (6,7)
789
Answer:
Step-by-step explanation:
What is the slope of the line passing through the points (1, -5) and (4, 1)?
Answer: 2
Step-by-step explanation: i used my brain
After Batman brought the Joker to justice, the crime rate in Arkham City decreased by 12\%12%12, percent. Previously, the crime rate was ccc incidents per 100010001000 people.
0.88 is the new crime rate in Arkham City.
What is crime rate?The number of offenses reported to law enforcement authorities per 100,000 people in a population is referred to as the crime rate. By dividing the total number of reported offenses by the population, the crime rate is determined.
Given,
The crime rate in Arkham City decreased by 12% when Batman managed to capture the Joker.
In the past, there were c occurrences of crime per 1000 persons.
How can one create an expression that models the issue?
A drop in the percent of crime is subtracted from the prior crime rate, which was defined as incidences per 1000 persons.
c the number of recent crimes per 1,000 individuals;
New crime rate = previous crime rate - decrease in crime %.
New crime rate = c - 12%c
New crime rate = c - 0.12c
New crime rate = 0.88c
Hence, the new crime rate is 0.88c.
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The complete question is:
"After batman brought the joker to justice , the crime rate in arkham city decreased by 12%. Previously the crime rate was c incidents per 1000 people. Which of the following expressions could represent the crime rate in Arkham City after Batman brought the Joker to justice?
a. 22/25 c
b. 0.12c
c. -0.12
d. 0.88c
e. c/1.12"
ZA and B are vertical angles. If m_A = (3x + 13) and mZB = (5x + 9), then find the measure of ZA.
EXPLANATION:
The first thing to do is graph the given points of the equation to find the position of the angles.
A=(3X+13)
B=(5X+9)
Both equations to find the angle z should give me a total of 180 degrees
By adding and joining both equations, we have the following:
[tex]\begin{gathered} (3x+13)+(5x+9)=180 \\ 3x+13+5x+9=180 \\ 3x+5x=180-13-9 \\ 8x=180-22 \\ 8x=158 \\ x=\frac{158}{8} \\ x=19.75 \end{gathered}[/tex]Now plugging the value of x into the first equation to find the angle A gives us:
[tex]\begin{gathered} A=3(19.75)+13 \\ A=59.25+13 \\ \textcolor{#FF7968}{A=72.25}\text{\textcolor{#FF7968}{ DEGREES}} \\ The\text{ measure }of\text{ the angle A is: 72.25} \\ \end{gathered}[/tex]To check if the measure of angle A is correct, we must also replace x in the second equation to find the value of angle B, which has to give us exactly what is missing to complete the 180 degrees.
[tex]\begin{gathered} B=5(19.75)+9 \\ B=98.75+9 \\ B=107.75 \\ \text{Now adding the angles A y B should give us 180 }degrees. \\ \textcolor{#FF7968}{A=72.25} \\ B=107.75 \\ AB=\textcolor{#FF7968}{72.25}+107.75=\textcolor{#FF7968}{180}\text{\textcolor{#FF7968}{ degrees.}} \end{gathered}[/tex]Use the information to answer the question.Point P is located at 16 on the number line, Point Q is located at -9 on the number line.What is the distance between Point P and Point on the number line? Enter the answer in the box.units
Answer:
25units
Explanation:
Given the following points on the number line
Point P at 16
Point Q at -9
Distance between the points = Point P - Point Q
Distance between the points = 16 - (-9)
Distance between the points = 16 + 9
Distance between the points = 25
Hence the distance between Point P and Point Q on the number line is 25units
Nhan is getting dressed. He considers two different shirts, three pairs of pants, and three pairs of shoes. He chooses one of each of the articles at random. What is the probability that he will wear his khakis but not his sandals? Enter your answer as a fraction in simplest form. Shirt Pants Shoes collared khakis sneakers T-shirt jeans flip-flops shorts sandals The probability that Nhan will wear his khakis but not his sandals = .
The probability that Nhan will wear his shirt is 0.375.
How to calculate the probability?From the information, Nhan considers two different shirts, three pairs of pants, and three pairs of shoes.
The total number will be:
= 2 + 3 + 3
= 8
Therefore, since we want to calculate the probability of the shirt which is the khaki, this will be:
= P(shirt) / Total number
= 3/8
= 0.375
There, the probability is 0.375.
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Questions-PartA what is the perimeter of this hexagon if the side is 15 cm?Part BWhat is the apothem of this hexagon each side is 15 cm round to the nearest whole number?Part CWhat is the area of the hexagon?(I just need a brief explanation with the answer)
Step 1:
The formula for the area of a hexagon can also be given in terms of the apothem as,
Area of hexagon
[tex]=\text{ }\frac{1}{2}\text{ }a\text{ }\times\text{ P}[/tex]where 'a' is the length of the apothem and 'P' is the perimeter of the hexagon.
Step 2:
Length of the sides = 15 cm
[tex]\begin{gathered} \text{perimeter = 6 }\times\text{ 15} \\ P\text{ = 90} \end{gathered}[/tex]Step 3:
Find the Apothem ' a '
Find each angle
[tex]\text{Each interior angle = }\frac{360}{6}\text{ = 60}[/tex]Next
[tex]undefined[/tex]Over the last three evenings, Maria received a total of 154 phone calls at the call center. The second evening, she received 10 more calls than the first evening. The third evening, she received 4 times as many calls as the first evening. How many phone calls did she receive each evening?Number of phone calls the first evening:Number of phone calls the second evening:Number of phone calls the third evening:
Data
• Total phone calls: 154
,• Second evening ( ,s ,): 10 more calls than the first evening ( ,f ,)
,• Third evening ( ,t ,): 4 times as many calls as ,f
Procedure
We have to translate the given information into algebraic expressions.
• Maria received a total of 154 phone calls at the call center:
[tex]f+s+t=154[/tex]where f represents the first evening, s the second, and t the third.
• The second evening, she received 10 more calls than the first evening:
[tex]s=10+f[/tex]• The third evening, she received 4 times as many calls as the first evening:
[tex]t=4\times f[/tex]As t and s can be used in terms of f, we will replace the second and third equations that we build in the first one:
[tex]f+s+t=154[/tex][tex]f+(10+f)+(4\times f)=154[/tex]Eliminating the parenthesis we get:
[tex]f+10+f+4f=154[/tex]Solving for f:
[tex]6f=154-10[/tex][tex]f=\frac{144}{6}[/tex][tex]f=24[/tex]Thus, the number of phone calls the first evening was 24.
Then, we have to replace this calculated value in the other equations to get s and t.
• Solving for ,s
[tex]s=10+f[/tex][tex]s=10+24[/tex][tex]s=34[/tex]• Solving for ,t
[tex]t=4f[/tex][tex]t=4\cdot24[/tex][tex]t=96[/tex]To prove our answers are correct, we can do the following:
[tex]24+34+95=154[/tex][tex]154=154[/tex]Answer
• Number of phone calls the first evening: 24
• Number of phone calls the second evening: 34
• Number of phone calls the third evening: 96
10 less than 7 times a number is the same as 3 times the number plus 18
Answer:
yes, it is the same
Step-by-step explanation:
7x - 10 = 3x + 18
7x-10+10 = 3x + 18 + 10
7x = 3x + 28
7x - 3x = 3x - 3x + 28
4x = 28
4x ÷ 4 = 28 ÷ 4
x=7
Plug x back in and check the answer.
7x-10 = 3x+18
7(7)-10 = 3(7)+18
49-10 = 21+18
39 = 39
So, YES they are the same.
Assume that each circle shown below represents one unit. Express the shaded
amount as a single fraction and as a mixed number.
Answer: what shown below?
Step-by-step explanation:
The population P of Phoenix, Arizona (in thousands) from 1970 through 2000 can be modeled by the equation P = 590e ^ (0.027t) where r represents the year, with t = 0 corresponding to 1970. According to this model, when will the population reach 1.5 million.
The population of Phoenix , Arizona will reach 1.5 million in the year 2005 .
In the question ,
it is given that ,
the equation , modelling the the population P of Phoenix, Arizona (in thousands) from 1970 through 2000 is
P = 590[tex]e^{0.027\times t}[/tex]
where t represents the year corresponding to 1970 .
we need to find the time required for the population to reach 1.5 million.
since population is represented in thousands , so ,
1.5 million = 1500000 will be taken as 1500 .
Substituting P = 1500 in the equation ,
we get ,
1500 = 590[tex]e^{0.027\times t}[/tex]
1500/590 = [tex]e^{0.027\times t}[/tex]
2.5423 = [tex]e^{0.027\times t}[/tex]
taking ㏑ both the sides , we get
㏑(2.5423) = (0.027t)×㏑(e)
0.93306 = 0.027×t
t = 0.93306/0.027
t = 34.55 years
t ≈ 35 years
the year will be 1970 + 35 = 2005 .
Therefore , The population of Phoenix , Arizona will reach 1.5 million in the year 2005 .
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can someone please help me solve this
For the carpenter to be sure that both length of the beam to be same length the base angles of the triangle must be the same.
What are isosceles triangle?An isosceles triangle is a triangle having two sides of equal length. The angles opposite the equal sides are also equal.
In other words, an isosceles triangle is a triangle with two sides equal and the base angles equal to each other.
The carpenter builds a set of triangular roof support . The carpenter wants the both sides of the slanted beam to be the same in lengths,
Therefore, for the carpenter to be sure the both length of the beam is the same, the base angles must be the same. This follows the rules of an isosceles triangle where two sides are the same and the base angles must be the same.
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Samuel has 10 coins that add up to $3.80. Some are 50 cent and the rest are 20 cent coins. How many 50 cent coins does he have?
Answer:
6 coins of 50cent
Step-by-step explanation:
Information we have:
1. x number of 50cent and y number of 20cent added up to 380cent.
2. x and y is 10coins
eq1 : 50x + 20y = 380
eq2: x + y = 10
write eq2 to y in term of x
y = 10 - x -> eq3
replace eq3 into eq1
50x + 20(10 - x) = 380
50x + 200 - 20x = 380
50x -20x = 380 -200
30x = 180
x = 180/30 = 6
The number of chirps per minutes made by a cricket is a function of the temperature (T). The function f(T) = 4(T-40). How many chirps would you except to hear when the temperature is 90?
Number of chirps would you expect to hear when the temperature is 90 is 200 .
A function from a fixed X to a hard and fast Y assigns to each detail of X exactly one element of Y. The set X is known as the area of the feature and the set Y is known as the codomain of the characteristic.
Calculation:
f(T) = 4(T-40)
= 4(90-40)
= 4 × 50
= 200
A feature is described as a relation between a fixed of inputs having one output each. In easy phrases, a feature is a courting among inputs in which each entry is related to precisely one output. each feature has a website and codomain or variety. A characteristic is commonly denoted by means of f(x) where x is the input.
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Solve the equation 7x = 91 for x.
−98
84
−13
13
Your answer will be D 13
please help! where it says “select” the options are 1997-2006
We can find the average rate of change of change using the following expression:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]for the period betwen 1999 and 2002, we have the following:
[tex]\begin{gathered} m=\frac{1483-1336}{2002-1999}=\frac{147}{3}=49 \\ \Rightarrow m=49 \end{gathered}[/tex]therefore, the average rate of change of population between 1999 and 2000 is 49.
Next, we do the same for the period between 2001 to 2005:
[tex]\begin{gathered} m=\frac{801-1591}{2005-2001}=-\frac{790}{4}=-197.5 \\ \Rightarrow m=-197.5 \end{gathered}[/tex]thus, the average rate of change of population between 2001 and 2005 is 197.5
Finally, notice that the population increased from 1997 to 2001, while it decreased from 2002, to 2006
PLS HELP ASAP THIS IS DUE TODAY!!!!
line AD is parallel to line HE. Identify one pair of alternate interior angles.
The alternate interior angles : ∠4 and ∠5
∠3 and ∠6
In this question, we have been given line AD is parallel to line HE.
We need to identify one pair of alternate interior angles.
We know that the alternate interior angles are formed when a transversal intersects two lines which are coplanar. These angles, lie on the inner side of the parallel lines but on the opposite sides of the transversal.
For given figure alternate interior angles are:
∠4 and ∠5
∠3 and ∠6
Therefore, the alternate interior angles : ∠4 and ∠5
∠3 and ∠6
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Which of the following expressions are equivalent to…I will send a screenshot of the expression I need help with.
Explanation
We have an expression given as
[tex]-\frac{2}{-13}[/tex]To find the equivalent value, we will make use of the fact that when two negative signs divide or multiply each other, the resulting value is always positive
Thus
The simplified answer is
[tex]\frac{2}{13}[/tex]In our case, we will have a positive outcome
Therefore, the correct answers will be options A and B
Simplify each expression. (–5x2y)(3x4)a. 15x6yb. –15x2yc. –15x6yd. –15x8y
The given expression is
[tex](-5x^2y)(3x^4)[/tex]We will multiply at first -5 by 3
[tex]-5\times3=-15[/tex]Then we will multiply x^2 by x^4 by adding their powers
[tex]x^2\times x^4=x^{2+4}=x^6^{}[/tex]And multiply y by 1 as there is no y in the second bracket, then
[tex](-5x^2y)(3x^4)=-15x^6y[/tex]The answer is C
Julia ran 1,000 meters in 9 minutes. How many meters/minute did she run?
Answer:
111.11111111111111111
Step-by-step explanation:
Whats the product 0.4(-1.08)
What is 3 to the 9th power times 3 to the 5th power
Answer:
3^14
Step-by-step explanation:
Multiplication of two values with same base and different exponent:
When we are multiplicating two values with the same base and different exponents, we keep the base and add the exponents. For example:
[tex]x^a\ast x^b=x^{a+b}[/tex]In this question:
[tex]3^9\ast3^5=3^{9+5}=3^{14}[/tex]Write the equation of the line in fully simplified slope-intercept form.
plss help
Answer: y=2x-5
Step-by-step explanation:
3x^4+2x^3-12x-6solve for ;x=-2
The function f(x) = 3x⁴ + 2x³ - 12x - 6 is equal to 60 for x = -2.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the following equation -
[tex]3x^4+2x^3-12x-6[/tex]
We have -
f(x) = 3x⁴ + 2x³ - 12x - 6
for x = - 2
f(- 2) = 3(-2)⁴ + 2(-2)³ - 12(-2) - 6
f(-2) = 48 - 16 + 24 - 6
f(- 2) = 48 + 8 - 6
f(- 2) = 60
Therefore, the function f(x) = 3x⁴ + 2x³ - 12x - 6 is equal to 60 for x = -2.
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