The general form of an equation in slope intercept form is ;
y= mx + c where m is the gradient and c is the y-intercept
The equation given is : y = -9x-81 ------this means the slope is -9
This is determined from the general equation ;
y = m x + c
y= -9 x - 81
where -9 is the gradient
Because the two lines are parallel, it means the other equation should have a slope of -9, thus apply the formula for slope give point {-2,-8}
m= change in y-coordinates value / change in x coordinate values
-9 = y --8/x--2
-9 = y+8 /x+2
-9 {x+2} = y+8
The question is in the link pls help me, fast.
Answer:
The answer is B.
Step-by-step explanation:
The circle is filled in so we know the answer cannot be A. All the numbers after 4 are greater than or equal to 4. The arrowing is pointing toward the numbers after 4.
4x 3y2 Evaluate the expression for x = 3 and y = 4.
Explanation
[tex]-\frac{4x^3}{3y^2}[/tex]Step 1
to find the answer just replace the values for x and y
for x=3 and y =4
[tex]\begin{gathered} -\frac{4x^3}{3y^2} \\ -\frac{4(3)^3}{3(4)^2}=-\frac{4\cdot(3\cdot3\cdot3)}{3\cdot(4\cdot4)}=-\frac{4\cdot27}{3\cdot16}=-\frac{27}{12}=-\frac{9}{4} \end{gathered}[/tex]I hope this helps you
Help! graph the systems of equations. {2x+y=8 −x+2y=6
A system of equations is simply a collection of equations that can be dependent, independent, consistent, or inconsistent.
2x + y = 8x - 2y = -6 is x,y = 2,4
How are equations graphed?To graph the equation, choose three x values and list them in a table. (Hint: choose values that are easy to calculate, such as 1, 0 and 1). Simplify the equation by substituting each value to find the associated y-coordinate. Draw a line between each point on a graph with the sorted pairings.A system of equations is simply a collection of equations that can be dependent, independent, consistent, or inconsistent.Given equation,
2x + y = 8x - 2y = -6
x,y = 2,4
[1] 2x + y = 8
[2] x - 2y = -6
Solve [2] for the variable x
[2] x = 2y - 6
Plug this in for variable x in [1]
[1] 2•(2y-6) + y = 8
[1] 5y = 20
Solve [1] for the variable y
[1] 5y = 20
[1] y = 4
By now we know this much
x = 2y-6
y = 4
Use the y value to solve for x
x = 2(4) -6 = 2
Hence, {x,y} = {2,4}
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i cant seem to be able to solve -6(8g+4)-5+6g
Answer: -42g-29
Step-by-step explanation:
-6(8g+4) -5+6g
-48g-24 -5+6g
-48g+6g=-42g
-24-5=-29
first test(x)=86,82,47,69,73,47,63,50,59,77,88,87second test (y)=81,71,51,75,69,44,48,48,58,68,83,77find a equation of the least squares regression line. Round the answer to three decimal places, if necessary.
To find the equation of the line, we will use the formula:
y=mx + b
The formula for calculating the slope is given as :
[tex]m=\frac{N\text{ }\Sigma(xy)-\Sigma x\Sigma y}{N\text{ }\Sigma(x^2)-(\Sigma x)^2}[/tex]Andrea is 108 miles away from Destiny. They are traveling towards each other. If Destiny travels 9 mph faster than Andrea and they meet after 4 hours, how fast was each traveling?
The given information is:
Andrea is 108 miles away from Destiny.
Destiny travels 9 mph faster than Andrea.
They meet after 4 hours.
Let's convert that information into equations:
Let's call x the distance that Destiny travels to find Andrea and y the distance Andrea travels to find Destiny, then:
[tex]x+y=180\text{ Eq. (1)}[/tex]If they meet after 4 hours, the equation for the distance Destiny traveled is:
[tex]\text{velocity}\cdot\text{time}=\text{distance}[/tex]But the problem also says that Destiny travels 9 mph faster than Andrea, then let's call z the mph that Andrea is traveling, thus:
[tex](z+9)\cdot4=x\text{ Eq. (2)}[/tex]And the equation for the distance Andrea traveled is:
[tex]z\cdot4=y\text{ Eq.(3)}[/tex]Then you have a system of 3 equations and 3 variables.
Let's solve it to find how fast each was traveling.
From equation 3 you know that y=4z. You can replace the y-value into equation 1, you will obtain:
[tex]x+4z=180\text{ Eq. (4)}[/tex]Next, you can solve for x in terms of z, from equation 4:
[tex]x=180-4z\text{ Eq.(5)}[/tex]Replace the x-value into equation 2 and solve for z:
[tex]\begin{gathered} (z+9)\cdot4=180-4z \\ \text{Apply distributive property} \\ 4z+36=180-4z \\ \text{Add 4z to both sides} \\ 4z+36+4z=180-4z+4z \\ 8z+36=180 \\ \text{Subtract 36 from both sides} \\ 8z+36-36=180-36 \\ 8z=144 \\ \text{Divide both sides by 8} \\ \frac{8z}{8}=\frac{144}{8} \\ z=18 \end{gathered}[/tex]Then if z=18 mph, this is how fast Andrea is traveling.
And Destiny travels 9 mph faster than Andrea, then Destiny travels at (z+9)=18+9=27 mph
What is the slope of the line that passes through the points (10, 6) and (6, 6)? Write
your answer in simplest form.
The slope of the line that passes through the points (10,6) and (6,6) is 0.
The Slope of a line can be described as a change in the y coordinate with respect to the x coordinate.
Formula to find the slope of the line that passes through the points [tex](x1,y1)[/tex] and [tex](x2,y2)[/tex] is
[tex]m= (y2-y1)/(x2-x1)[/tex]
where, m=slope
As per the given problem, let us consider
[tex](x1,y1)=(10,6)[/tex]
[tex](x2,y2)=(6,6)[/tex]
Substitute the given values such as [tex]x1=10,x2=6,y1=6,y2=6[/tex] in the formula,
[tex]m=(6-6)/(6-10)\\m=0/(-4)\\m=0[/tex]
Therefore, the slope of the line that passes through the points (10,6) and (6,6) is o.
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how much must be deposited at the beginning of every six months in an account that pays 6% compounded semi-annually so that the account will contain 35,000 at the end of five years the semi-annual payments are___?round to 2 decimal places
In order to determine the initial investment, use the following formula for the composed interest:
[tex]I=P(1+\frac{r}{n})^{nt}[/tex]where:
P: initial investment = ?
r: interest rate = 6% = 0.06
n: number of times per time period = 6
t: time period = 5 x 2 = 10
I: final account = 35,000
replace the previous values of the parameters and solve for P, as follow:
[tex]\begin{gathered} 35000=P(1+0.06/6)^{6\cdot10}=P\cdot1.816 \\ P=35000/1.816 \\ P=19273.13 \end{gathered}[/tex]Hence, the initial investment was 19,273.13
find the equation in point slope form of the line that lasses through the point (1,2) with the slope m=2/3
Input data
Point = (1, 2)
m = 2/3
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
[tex]\begin{gathered} b=y-mx \\ b=2-\frac{2}{3}1 \\ b=2-\frac{2}{3} \\ b=\frac{4}{3} \end{gathered}[/tex]The equation of the line that passes through the point (1,2) with a slope of 2/3
[tex]y=\frac{2}{3}x+\frac{4}{3}[/tex][tex]y-2=\frac{2}{3}(x-1)[/tex]Help with number two please highlight the answer in bold
ANSWER
Options: II and IV
EXPLANATION
Mean: Is the sum of data values divided by the total number of data values
Deviation: Is the difference between an individual data item and the set's mean.
Absolute value: Is the distance (a positive quantity) between any two points on a number line.
Variability: This relates to how dispersed (or clustered) the values in a data set are. High variability indicates that the data is dispersed. Low variability indicates that the data is grouped together (close together).
MAD: Is the average distance between each data value and the mean is the Mean Absolute Deviation (MAD) of a set of data. The higher the MAD, the more data variability there is (the data is more spread out).
Hence, II and IV are most likely to have the greatest number of values in common because they both have higher MAD (8) meaning that they have more data variability (their data is more spread out) compared to I and III which have MADs equal 4 and 2 respectively.
PLEASE HELP ASAP!!!!!
Answer the answer is 12 units:
Step-by-step explanation:
Mabel spends 4 hours to edit a 3-minute long video. She edits at a constant rate.
How long does Mabel spend to edit a 15 minute long video?
By the concept of unitary method, she will take 20 hours to complete a video as definition of unitary method says "The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value".
What is unitary method?The unitary method is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. A single or distinct unit is referred to by the word unitary. Therefore, the goal of this method is to establish values in relation to a single unit. The unitary method, for instance, can be used to calculate how many kilometers a car will travel on one litre of gas if it travels 44 km on two litres of fuel. The unitary method refers to the process of determining the value of a single unit from the values of several other units and using that value to determine the value of the necessary number of units.
Here,
As she takes 4 hours to edit a 3 minute video,
by unitary method,
so she take 4/3 hour to edit a 1 minute video.
To edit a 15 minute video,
she will take 15*4/3 hours.
=20 hours
As stated in the definition of the unitary method, "the unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value," it will take her 20 hours to complete a video using this method.
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I need help with this practice I’m having trouble solving itNeed some help step by step If you can. Use Desmos to graph this
Given the function:
[tex]y=-4\cos \mleft(\frac{2}{3}x+\frac{\pi}{3}\mright)-3[/tex]The graph is attached below:
• The period of the function, T = π-(-2π)=3π.
Thus, the function has been graphed to show at least one full period, the x and y-axes are also clearly labeled above.
for each of the 7 you have to determine whether its alternative exterior angles, same side interior angles, vertical angles, alternate interior angles, definition of a parallelogram, SAS, Or Given
Statement Reason
WXYZ is a parallelogram Given
WX || ZY and WZ || XY Definition of a parallelogram
∠ZYW ≅ ∠XWY Alternate interior angles
WX ≅ YZ Definition of a parallelogram
WY ≅ WY Reflexive property of congruence
ΔWXY ≅ ΔZYW SAS
∠X ≅ ∠Z CPCTC
A square measures 8cm to the nearest
cm. What is the largest and smallest
possible area of the square?
Answer: smallest area- 56.25cm2 largest area- 70.56cm2
tsThe table below represents the concessions sold at the last three basketball games. Thegames were held on different days and times.Friday nightSaturday morningTuesday nightTotalCandy1489478320Hot Dogs10227150279Nachos Total1084297247358163325846What is the approximately probability of a person buying a hot dog and going to a Tuesdaynight game?
Given:
The total = 846.
The number of hot dogs sold at Tuesday night = 150.
Required:
We need to find the approximate probability of a person buying a hot dog and going to a Tuesday night game.
Explanation:
The total possible outcomes = 846.
[tex]n(S)=846[/tex]Let A be the given event.
The favourable outcomes = The number of hot dogs sold at Tuesday night = 150.
[tex]n(A)=150[/tex]The approximate probability of a person buying a hot dog and going to a Tuesday night game.
[tex]P=\frac{n(A)}{n(S)}\times100[/tex][tex]P=\frac{150}{846}\times100[/tex][tex]P=17.7[/tex][tex]P=18\text{ \%}[/tex]Final answer:
[tex]P=18\text{ \%}[/tex]Margaret''s parents gave her $40 to spend on video games. Used games are $8 and new games are $14.
Answer:
so? what is your question here?
Step-by-step explanation:
An ostrich farmer wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. there are 540 feet of fencing available to complete the job. what is the largest possible total area of the four pens?
Answer:
135 feet
Step-by-step explanation:
you divide 540÷4 to get the answer
a naturalist relocated 12 wild bears in 6 months. the naturalist relocated the same number of wilde bears each month how many wild bears did the naturalist relocate per month HELP SUPER URGENT
The number of wild bears the naturalist can relocate per month is 2 wild bears.
Number of wild bears relocated by the naturalist = 12 wild bears
Time taken by the naturalist to relocate these wild bears = 6 months
Thus the number of bears the naturalist can relocate in 1 month can be found out by using unitary method
This implies that the number of bears relocated by the naturalist in 1 month or per month = 12 / 6 = 2 wild bears
Thus the number of wild bears the naturalist can relocate per month is 2 wild bears .
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The population of a small city in 2010 was 36,000. In 2015, the population was 43,800. If the population growth is exponential and growth occurs at the same rate, what will be the population be in 2020? round your answer to the nearest whole number.
The population of the small city in the year 2020 using the given growth rate is; 51600 people
How to solve exponential growth rates?We are given that;
Population of the small city in the year 2010 = 36000
Population in the year 2015 = 43800
Now, we are told that the growth rate occurs at the same rate per year. Thus;
Population change from 2010 to 2015 = 43800 - 36000 = 7800
Thus, the population increases by 7800/5 = 1560 people each year.
General form of exponential function is; y = bˣ
where b is rate of growth while x is number of years
But here we will use sequence to get;
y(10) = 1560 * 10 = 15600
Thus;
Population in 2020 = 36000 + 15600 = 51600 people
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What is the slope of the line created by this equation?
Considering the linear equation in slope-intercept form:
[tex]y=11.2x-1[/tex]The y-intercept of the line is the constant of the equation, in this case, the y-intercept is -1.
The slope of the line corresponds to the coefficient of the x-term, i.e. the value that multiplies x. For this line, the slope is equal to 11.2
Q.22 5.3 Write a system of linear equations that has the ordered pair of (-2,8) as it's solution.
A system of linear equations that has the ordered pair of (-2,8) as it's solution is Oy - 2x = 12 and x - 2y.
calculation:-
x = -2
for 2y - 4x = 24 plug in x = -2
2y + 8 = 24
Subtract 8 from both sides
2y + 8 - 8 = 24 - 8
2y = 16
divide both sides by 2
2y/2 = 16/2
y = 8
Therefore, the solution to the system of linear equations is:
(x, y) = (-2, 8).
A non-linear equation is such that it does not form a straight line. It looks like a curve in a graph and has a variable slope value. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. The graph of a linear equation always forms a straight line. The definition of a linear equation is an algebraic equation in which each term has an exponent of 1.
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(ii) The lowest common multiple (LCM) of x and 60 is 240.
Find the smallest possible value of x.
(Please help + will mark as a brainliest!!)
The smallest value of x is 2 for which these three numbers 2, 60, and 240 have an LCM of 240.
What is LCM?LCM of two or more than two given numbers is the smallest common multiple that is divisible by two or more than two given numbers.
Given, Are three numbers x, 60, and 240 of which x is unknown.
The lowest common multiple of these three numbers will be when x is the smallest.
Let x be 2 therefore the numbers are now, 2, 60, and 240.
And LCM of 2, 60, and 240 is 240 as it is the smallest number that is divisible by all these three numbers.
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Select the correct answer.
Consider this equation.
cos(8) = -
If 8 is an angle in quadrant II, what is the value of tanê)?
ОА.
15
8
ов. 15
ос. -
✓15
8
OD. 15
Given that:
[tex]\cos \theta=\frac{adjacent}{hypothenus}[/tex]and we are given that:
[tex]\cos \theta=-\frac{7}{8}[/tex]we can say that:
adjacent = 7, hypothenus = 8
And we can apply the Pythagorean theorem which is:
[tex]\text{hypothenus}^2=opposite^2+adjacent^2[/tex]Thus, we have that:
[tex]undefined[/tex]Solve x and express answers in simplist radical forM. 2x^2+3x-=9x+2
Hello
To solve this question, i will use quadratic formula; however, there are other methods we can use to solve this question.
Step 1
Collect like terms
[tex]\begin{gathered} 2x^2+3x=9x+2 \\ 2x^2+3x-9x-2=0 \\ 2x^2-6x-2=0 \end{gathered}[/tex]A standard quadratic equation can be represented as
[tex]\begin{gathered} ax^2+bx+c=0 \\ a=2,b=-6,c=-2 \end{gathered}[/tex]The quadratic equation is given as
[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]Therefore,
[tex]\begin{gathered} x=\frac{-(-6)\pm\sqrt[]{(-6)^2-4(2)(-2)}}{2\times2} \\ x=\frac{6\pm\sqrt[]{36+16}}{4} \\ x=\frac{6\pm\sqrt[]{52}}{4} \\ x=\frac{6\pm7.2}{4} \\ x=\frac{6+7.2}{4}=3.3 \\ or \\ x=\frac{6-7.2}{4}=-0.3 \end{gathered}[/tex]From the calculations above, the value of x is either 3.3 or -0.3
Jack earns $5250 per month. Jill earns $1143.50 a week. Who earns more per year, and by how much?
Find the Area of the figure below, composed of a rectangle with two semicircles
removed. Round to the nearest tenths place.
16
D). (
Submit Answer
6
attempt 1 out of 2
PLEASE HELP 20 POINTS!!!!!!!
well, we know it's a rectangle with two removed semicircle's, hmmm hold on!! two semicircles make together a whole circle, well, let's remake that circle and put it inside the rectangle, then, let's subtract that area from that of the rectangle's, Check the picture below.
[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{rectangle}{(16)(4)}~~ - ~~\stackrel{circle}{\pi (2)^2} }\implies 64~~ - ~~4\pi ~~ \approx ~~ \text{\LARGE 51.4}[/tex]
In a right triangle, the length of the hypotenuseis 14 cm and the length of one leg is 8 cm.What is the measure of the other leg?
Since it is a right triangle, we can use the Pythagorean Theorem. This one states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse. In algebraic notation:
[tex]\begin{gathered} a^2+b^2=c^2 \\ \text{ Where a and b are the legs and c is the hypotenuse of the right triangle.} \end{gathered}[/tex]So, in this case, we have:
[tex]\begin{gathered} a=8\operatorname{cm} \\ b=? \\ c=14\operatorname{cm} \end{gathered}[/tex][tex]\begin{gathered} a^2+b^2=c^2 \\ (8cm)^2+b^2=(14cm)^2 \\ (8)^2cm^2+b^2=(14)^2cm^2 \\ 64cm^2+b^2=196cm^2 \\ \text{ Subtract }64cm^2\text{ from both sides of the equation} \\ 64cm^2+b^2-64cm^2=196cm^2-64cm^2 \\ b^2=132cm^2 \\ \text{ Apply square root to both sides of the equation} \\ \sqrt{b^2}=\sqrt{132cm^2} \\ \boldsymbol{b}\approx\boldsymbol{11.49\operatorname{cm}} \end{gathered}[/tex]Therefore, the measure of the other leg rounded to the nearest hundredth is 11.49 centimeters.
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 2.5, 5.4
Step-by-step explanation:
[tex]-16t^2 +126t=213\\\\16t^2 -126t+213=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(213)}}{2(16)}\\\\t \approx 2.5, 5.4[/tex]
Graph the polygon with the given vertices and its image after a reflection in the given line.
J(-3, 1), K(0, 3), L(4, -1), M(1, -3); y = -2
A polygon is a plane figure characterized by a finite number of straight-line segments joined to form a closed polygonal chain in geometry.
What is a polygon?
A polygon is a plane figure characterized by a finite number of straight-line segments joined to form a closed polygonal chain in geometry. A polygon is defined as a bounded plane region, a bounding circuit, or both. A polygonal circuit's segments are known as its edges or sides.
Given coordinates are,
J(-3, 1), K(0, 3), L(4, -1), M(1, -3); y = -2
Plot all the points on a coordinate geometry in a sequence we will get the polygon of four sides.
The image of the constructed polygon with all its coordinates is attached with the answer below.
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