First, we find the slope using the given points and the formula below
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-5-(-1)}{2-8}=\frac{-5+1}{-6}=\frac{-4}{-6}=\frac{2}{3}[/tex]Then, we use the point-slope formula to find the equation
[tex]y-y_1=m(x-x_1)_{}[/tex]Let's replace the point (8, -1) and the slope 2/3.
[tex]\begin{gathered} y-(-1)=\frac{2}{3}(x-8) \\ y+1=\frac{2}{3}x-\frac{16}{3} \\ y=\frac{2}{3}x-\frac{16}{3}-1 \\ y=\frac{2}{3}x+\frac{-16-3}{3} \\ y=\frac{2}{3}x-\frac{19}{3} \end{gathered}[/tex]Hence, the equation in point-slope form is[tex]y+1=\frac{2}{3}(x-8)[/tex]2.Use the diagram below. Circle the true statements based on the given diagram.
3.Use the diagram below. Circle the angle pairs that are supplementary to each other.
4.Triangle HIJ has ∠I = 17° and ∠H = 84°. Find m∠ J.
5.An isosceles triangle has a base angle of 24°. Find the measure of the apex angle.
Step-by-step explanation:
2.
angle B is congruent to angle B'.
side BC is congruent to side B'C'.
3.
angle pairs 1 and 3, 2 and 3, 5 and 7 are supplementary (together they have 180°).
4.
please burn this into your brain for all times : the sum of all angles in a triangle is always (yes, always) 180°.
so,
angle J + 17 + 84 = 180
angle J = 180 - 17 - 84 = 79°
5.
and here we use it again.
isoceles means that the triangle has 2 equally long legs. that makes also both base angles equally large.
apex angle + 24 + 24 = 180
apex angle = 180 - 24 - 24 = 132°
Somebody please help me I need to send this tomorrow
4. Mr. Wilson has two cats, named Ramses and Kilala. Kilala weighs 6 pounds. Ramses weighs 3 times as much as Kilala. How much does Ramses weigh? Show how you figured this out.
Answer:
18
Step-by-step explanation:
6lb
*3
6lb*3=18
a jar contains five black buttons and six brown buttons. If 8 buttons are picked at random,what is the probability that at least 4 of them are black?
First, we write out the probability formula:
[tex]Pr(E)=\frac{n(R\text{equired outcome)}}{n(Total\text{ outcome) }}[/tex]Total number of tickets = 13
Pr(both Ashley and Matt win) = Pr(Ashley wins) x Pr(Matt wins)
[tex]\begin{gathered} Pr(\text{Ashley win ) }=\text{ }\frac{1}{13} \\ Pr(\text{Matt win) = }\frac{1}{13} \end{gathered}[/tex][tex]Pr(\text{both wins ) }=\frac{1}{13}\times\frac{1}{13}=\frac{1}{169}[/tex]The final answer is 1/169
In order to express our answer as a percentage, we multiply by a 100%
= 1/169 x 100% = 0.592% ( to 3 significant figures)
hurry!!!!! pls!!!!!! how do I solve this?
The value of x in the above diagram is 9
what is a triangle?A triangle is a polygon with 3 sides and 3 angles.
Triangles are of different types: isosceles, equilateral, scalene and right-angle triangles.
from the diagram, the triangle is and isosceles triangle and for isosceles triangle the base angles are equal.
so that,
5x+36 = 9x
by collecting like terms,
9x - 5x = 36
4x = 36
x = 36/4
x = 9
In conclusion the solution to the given problem is x = 9
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I cant remember the steps on how to work this problem
Answer:
x= 3
y=0
Step-by-step explanation:
y = -x + 3
y = 2x - 6
-x + 3 = 2x -6
3 + 6 = 2x + x
9 = 3x
3 = x
y = -3 + 3
y = 0
Answer:
(3,0)
Step-by-step explanation:
Solve the system of equations.2y = 42z? +y = 3
The answer is option B
(1, 2) and (-3, -6)
40 PIONTS FOR ANSWERING 2 Q'S, I WILL PICK BRIANLISET
6. For the Raleigh company, create a table to represent the cost of the cab ride given the number of miles provided for miles 5, 10, 15 and 20. List the cost for the cab ride for 15 miles.
My answer (tell me if it is right or wrong)
for 15 miles your cost would be $42.45 inclueding the fee of $1.95
7. For the Raleigh company write an equation in slope-intercept form to represent the amount charged, C, for m number of miles.
Answer:
$3.86
tell me if im wrong
Answer:
6: your answer is correct
7: C=2.7m+1.95
Step-by-step explanation:
6:
5 15.25
10. 28.95
15. 42.45
20. 55.95
question 7
slope intercept form is y=mx+b
m is slope and b is y intercept
Slope is 2.70 since that is how much we go up for a mile
And 1.95 is y intercept since it is where we start no matter what and we have to add that constant fee every time
y=2.70x+1.95
We change the y to c and the x to m to fit the problem
C=2.70m+1.95
Hopes this helps please mark brainliest
Sketch a polynomial function with the following characteristics:
a. 5 real zeros
b. a zero of multiplicity 2 at x=−4
c. a zero of multiplicity 1 at x=2
d. a negative leading coefficient
The polynomic function p(x) = - x⁵ - 6 · x⁴ + 32 · x² is shown in the image of the Cartesian plane attached below.
How to derive and sketch a polynomial
In this question we must write the polynomial function and sketch the resulting curve on a Cartesian plane. We are going to take advantage of the definition of the factor form of the polynomial function:
p(x) = a · Π (x - r), for i = {1, 2, 3, ..., n}
Where:
a - Lead coefficient.r - i-th root of the polynomial.First, choose the negative lead coefficient:
a = - 1
Second, choose the roots of the polynomic root:
p(x) = - (x + 4)² · (x - 2) · x²
Third, expand the polynomic function:
p(x) = - (x² + 8 · x + 16) · (x - 2) · x²
p(x) = - (x² + 8 · x + 16) · (x³ - 2 · x²)
p(x) = - (x⁵ + 8 · x⁴ + 16 · x³ - 2 · x⁴ - 16 · x³- 32 · x²)
p(x) = - (x⁵ + 6 · x⁴ - 32 · x²)
p(x) = - x⁵ - 6 · x⁴ + 32 · x²
Fourth, sketch the polynomic function with a graphing tool.
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how can you determine a reseentative sample of a population
A representative sample is one that accurately depicts the a population> This representative sample can be determined through sampling. The examples of sampling methods used are random sampling, stratified random sampling
solve for y
show your work.
9-4x=-3y
y=9-4x/3
you need to isolate y so you divide 3 on both sides.
y=3-4/3x
describe a dataset where defining a confidence interval would be important for testing validity of data
The sample's data values ought to be unrelated to one another. The sample data need to be consistent. Data from the quantitative ordered pair sample should be gathered at random or in a way that is representative of the overall population. The sample's data values ought to be unrelated to one another.
A confidence interval is a much better tool to use if we wish to communicate the level of uncertainty surrounding our point estimate (CI). A confidence interval (CI) is a symmetrical range of values where the results of repeated, related experiments are likely to fall. The middle of this range corresponds to our point estimate.
Confidence intervals, which describe how closely study results match reality or how dependable they are based on statistical theory, are regularly mentioned in scientific publications.
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What is the first step in solving the equation 2a - 4( a - 5 ) = 10
The first step in solving for a in the equation would be:
1.distribute -4 to a and -5, then:
2a-4a+20=10
Now the next steps in solving for a:
2.Add 2a and -4a :
-2a+20=10
3.Substract 20 to both sides
-2a+20-20=10-20
then:
-2a= -10
4.Finally, divide both sides by -2
[tex]\frac{-2a}{-2}=\frac{-10}{-2}=5[/tex]then, a=5
Tell me how I can eliminate the x-terms in this system! ASAP!
4y+3x=-6
Y-X=-5
Options: 2, 3, 4, and 5.
Answer:
3
Step-by-step explanation:
you can eliminate x with 3 if you multiply the second equation with 3
HELP!!!!!!!!!! I NEED THIS ASAP PLEASE!!!
Graph the systems of equations.
Both the equations are plotted on the graph and they intersect each other on (2, 4).
What are equations?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.So, graph the equation as follows:
2x + y = 8-x + 2y = 6So plot as:
(Refer to the graph attached below)The lines of both equation intersect at (2, 4).Therefore, both the equations are plotted on the graph and they intersect each other on (2, 4).
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A paddleboat can move at a speed of 14 kilometers per hour in still water. The boat is paddled 10 kilometers downstream in a river in the same time it takes to go 5 kilometers upstream. What is the speed of the river? Round your answer to the nearest tenth.
The speed of the river is 7.5 kilometers per hour.
Let the speed of boat in still water = u = 14 km/h
Let the speed of river = v = x km/h
Upstream speed = u - v = 14 - x
Downstream speed = u + v = 14 +x
Distance paddled upstream = [tex]D_{1}[/tex] = 5 km
Distance paddled downstream = [tex]D_{2}[/tex] = 10 km
Time taken (upstream) = [tex]T_{1}[/tex] = [tex]\frac{D_{1} }{u-v}[/tex]
Time taken (downstream) = [tex]T_{2}[/tex] = [tex]\frac{D_{2} }{u+v}[/tex]
According to question,
[tex]T_{1}[/tex] = [tex]T_{2}[/tex]
[tex]\frac{D_{1} }{u-v}[/tex] = [tex]\frac{D_{2} }{u+v}[/tex]
[tex]\frac{5}{14-x}[/tex] = [tex]\frac{10}{14+x}[/tex]
5(14 + x) = 10(14 - x)
14 + x = 2(14 - x)
14 + x = 28 - 2x
x + 2x = 28 - 14
3x = 14
x = [tex]\frac{14}{3}[/tex]
x = 7.5
Hence, Speed of river is 7.5 km/h.
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Find the equation of the linear function represented by the table below in slope-intercept form.
The linear equation for the given table is y = 10*x - 8.
How to find the linear equation?
A general linear equation in the slope-intercept form is:
y = m*x + b
where m is the slope and b is the y-intercept.
The y-intercept is the value of y when x = 0, on the table we can see the pair (0, -8), then the y-intercept is -8.
y = m*x - 8
Using another pair from the table, like (1, 2), we can replace these values in the above linear equation:
2 = m*1 - 8
2 + 8 = m
10 = m
Then the linear equation is:
y = 10*x - 8
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Create a scatterplot using the following data relating the number of cigarettes a day smoked by a parent and thenumber of days the child missed school in the last quarter of the school year. Draw your estimate of the line of best fit.Select and give the coordinates of two points on the line. Find the slope of the line you drew. Write a sentence thatsummarizes the relationship between the two variables.
The equation for the line of best fit is given by:
y = mx + b
In which m is the slope
They are given by:
[tex]m=\frac{n\sum^{}_{}xy-\sum^{}_{}x\sum^{}_{}y}{n\sum^{}_{}x^2-(\sum^{}_{}x)^2}[/tex][tex]b=\frac{\sum^{}_{}y-m\sum^{}_{}x}{n}[/tex]Sum of x:
Sum of all values of x.
[tex]\sum ^{}_{}x=3\ast0+5+10+12+15+16+2\ast24+28+30+21+36_{}[/tex][tex]\sum ^{}_{}x=221[/tex]Sum of y:
[tex]\sum ^{}_{}y=0+2\ast2+3+2\ast5+2\ast8+10+2\ast12+2\ast15+20[/tex][tex]\sum ^{}_{}y=117[/tex]Sum of squares of x:
[tex]\sum ^{}_{}x^2=3\ast0^2+5^2+10^2+12^2+15^2+16^2+2\ast24^2+28^2+30^2+21^2+36^2_{}[/tex][tex]\sum ^{}_{}x^2=5323[/tex]Sum of xy:
[tex]\sum ^{\infty}_{n\mathop=0}xy=0\ast(0+2+5)+5\ast3+10\ast5+12\ast8+15\ast10+16\ast2[/tex][tex]+24\ast(8+12)+28\ast15+30\ast15+21\ast20+36\ast12_{}[/tex][tex]\sum ^{}_{}xy=2545[/tex]
Slope:
14 students, so n = 14.
Then
[tex]m=\frac{n\sum^{}_{}xy-\sum^{}_{}x\sum^{}_{}y}{n\sum^{}_{}x^2-(\sum^{}_{}x)^2}=\frac{14\ast2545-(221\ast117)}{14\ast5323-221^2}=0.38[/tex][tex]b=\frac{\sum^{}_{}y-m\sum^{}_{}x}{n}=\frac{117-0.38\ast221}{14}=2.36[/tex]The line of best fit is y = 0.38x + 2.36. This means that for a parents that smokes x cigarettes a day, the child is expect to miss 0.38x + 2.36 days of school during the quarter.
Graphic
Factor the expression. - 35a - 30
Answer:
-5(7a+ 6)
Explanation:
Given the expression:
-35a - 30
-35a = -5 * 7 * a
-30 = -5 * 6
You can see from the factors that -5 is common to both
Hence -5 is the GCF
Factoring out -5 from the expression will give;
-5(7a+ 6)
This gives the correct factor
Hello!! I need help with this Vector problem below. Can anyone please explain the problem step by step please? I really need to understand it!
Find the magnitude and
direction angle of v = 6i+ 4j.
Round direction angle to nearest degree.
The magnitude of the vector is v = [tex]\sqrt{52}[/tex]
and the angle of the vector θ = 10 degrees
What are vectors?An item with both magnitude and direction is referred to be a vector. A vector can be visualized geometrically as a directed line segment, with an arrow pointing in the direction and a length equal to the magnitude of the vector. The vector points in a direction from its tail to its head.
Given ; Vector = v = 6i+ 4j
The given points are ( 6 , 4 )
x = 6 units and y = 4 units
The magnitude of the given vector can be calculated by :
v = [tex]\sqrt{6^2 + 4^2}[/tex]
v = [tex]\sqrt{36 + 16}[/tex]
v = [tex]\sqrt{52}[/tex]
the magnitude of the vector = v = [tex]\sqrt{52[/tex]
The angle of the vector :
tan θ = [tex]\frac{y}{x}[/tex]
tan θ = [tex]\frac{4}{6}[/tex]
tan θ = 2/3
thus θ = tan-1 2/3
θ = 10.3°
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Jonas is planning out his route for an upcoming race. He uses negative numbers to represent points before
the finish line and positive numbers to represent points after the finish line.
On Jonas's map, there is a bridge at -91 meters, and a restaurant is at 14 meters.
What does 0 meters represent?
Choose 1 answer:
B
The restaurant
The bridge
The finish line
Using logical reasoning, we can say that the 0 meter represents the (C) finish line.
What is logical reasoning?In addition to formal deduction, two more categories of logical thinking are frequently distinguished: induction and abduction. The following can be explained if one has a precondition or premise, a conclusion or logical consequence, and a rule or material conditional that indicates the conclusion given the precondition.Example: "Everything outside gets wet when it rains. Since the grass is outside, it gets wet when it rains." This kind of logic is frequently compared to mathematical logic and philosophical logic.So, we know that:
There are negative numbers before the final line.There are positive numbers after the finish line.So, it is obvious that 0 meters will represent the finish line itself.Therefore, using logical reasoning, we can say that the 0 meter represents the (C) finish line.
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Correct question:
Jonas is planning out his route for an upcoming race. He uses negative numbers to represent points before
the finish line and positive numbers to represent points after the finish line.
On Jonas's map, there is a bridge at -91 meters, and a restaurant is at 14 meters.
What do 0 meters represent?
Choose 1 answer:
(A) The restaurant
(B) The bridge
(C) The finish line
Complete the equation so it has no solution. 9x - 7x + 5 = ___ - 7
Answer: 2x
Step-by-step explanation: The answer is 2x, because on the LHS, 9x - 7x = 2x, so the LHS is 2x + 5, if we make the RHS 2x - 7, the equation will become 2x + 5 = 2x - 7, this makes the equation unsolvable
Luke is making a gelatin dessert to bring to a picnic. He combines strawberry gelatin and lemon gelatin in a large tray. Then, he decides to make a smaller tray to keep at home. In the small tray, he combines half the amount of strawberry gelatin and half the amount of lemon gelatin. Which tray of gelatin will taste more like lemon?
Thanks
The tray of gelatin that would taste more like lemon would be = the both trays.
What is a dessert?A dessert is defined as the part of a course meal that is usually taken at the end of a three course meal.
In the making of a gelatin dessert by Luke he made the following combinations;
strawberry gelatin and lemon gelatin = Large tray
½ strawberry gelatin and ½ lemon gelatin = Small tray
The tray that will taste more of lemon would be the both trays because the same measurement of lemon gelatin was used for both the large and small tray.
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Answer:
neither
Step-by-step explanation: its just neither
13r+ 8v = 47
22v=63-17r
Answer:
D. 5.
Step-by-step explanation:
Yes.
How do I find the slope in this problem?
to get the slope of any straight line, we simply need two points off of it, let's use the points in the picture below
[tex](\stackrel{x_1}{-5}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{(-5)}}} \implies \cfrac{-2}{0 +5} \implies \cfrac{ -2 }{ 5 } \implies {\Large \begin{array}{llll} - \cfrac{2 }{ 5 } \end{array}}[/tex]
Help please I don't understand where to get the degrees from. And what degrees are each
SOLUTION:
(i)
[tex]\begin{gathered} \sin \text{ }\theta\text{ = }\cos \text{ }\theta \\ \end{gathered}[/tex]Sine of an angle is complementary to the Cosine of an angle so for both to be the same the angle 90 degrees must be divided into.
[tex]\theta=45^0[/tex](ii)
[tex]\begin{gathered} \tan \text{ }\theta\text{ = 0} \\ \theta\text{ = }\tan ^{-1}(0) \\ \theta\text{ = 0} \end{gathered}[/tex](iii)
[tex]\csc \text{ }\theta\text{ > sec }\theta[/tex]As said earlier sine and cosine of angles are complementary so cosecant and secant of angles are also complementary.
[tex]\begin{gathered} \text{When }\theta\text{ = 30} \\ \csc \text{ }\theta\text{ > sec }\theta \\ \frac{1}{\sin30}\text{ > }\frac{1}{\cos30} \\ \\ 2\text{ > 1.15} \\ \\ \csc \text{ }\theta\text{ > sec }\theta\text{ when }\theta=30^0 \end{gathered}[/tex]solve the equation A-X=B-A for X.
Answer:
X= -B+2A
Step-by-step explanation:
Hope this helps and sorry if I'm wrong
Express the confidence interval 0.555 < p < 0.999 in the form p+E
In order to express the confidence interval in the form p ± E, first we have to determine the midpoint of the interval, like this:
[tex]\hat{p}=\frac{0.555+0.999}{2}=0.777[/tex]The value of the error, E, can be calculated by taking the difference between p and the end of the interval, like this:
[tex]E=0.999-0.777=0.222[/tex]Then, we can express 0.555 < p < 0.999 in p + E notation as 0.777 ± 0.222
The confidence interval can be written as 0.777 ± 0.222.
The confidence interval 0.555 < p < 0.999 can be expressed in the form of p ± E.
To find the margin of error (E), we can subtract the lower limit (0.555) from the upper limit (0.999) and divide it by 2:
E = (0.999 - 0.555) / 2
E = 0.222
Therefore, the confidence interval 0.555 < p < 0.999 can be expressed as:
p ± E
where p is the point estimate and E is the margin of error. In this case, the point estimate would be the midpoint of the interval, which is the average of the lower and upper limits:
p = (0.555 + 0.999) / 2
p = 0.777
Hence, the confidence interval can be written as 0.777 ± 0.222.
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Formulate at least three problems that you wish to have answers using statisticsI am sorry there's no additional information or pictures on this question.
In order to create three statistics problems, we can use the concepts of mean, median and mode.
The mean of a data set is the sum of all values divided by the number of values.
The median of a data set is the middle term of the set in crescent order (if the set has an even number of values, the median is the mean between the two middle values).
The mode of a data set is the value that repeats the most in the set.
So, for our three questions, let's use the following data set:
[tex]1,3,5,2,2,8,4,1,2,3,2[/tex]The three problems are:
1) Calculate the mean of the data set
2) Calculate the median and the mode of the data set
3) Which one is greater: mean, median or mode?
Tell whether the line for each pair of equations is parallel, perpendicular, or neither y = 1/4 x + 10
-2x + 8y = 6
Which of the following is an equivalent expression of 18x² +14x + 7?
Answer:
The second one
Step-by-step explanation:
....is just the equation with the order of the terms re-arranged