Find the equation of the line

Find The Equation Of The Line

Answers

Answer 1
This should do… all steps explained in the picture
Find The Equation Of The Line

Related Questions

Leah took her friends for a ride in her hot air balloon. The function fff models the height of the hot air balloon above the ground (in meters) as a function of time (in minutes) after takeoff.
Plot the point on the graph of fff that corresponds to when the hot air balloon landed.

Answers

Answer: point (60,0)

Step-by-step explanation: the x-intercept (60,0) shows that at 60 minuetes the balloon is 0 meter above the ground

The coordinates of the function of height and time are (210, 0) and (60, 10). The graph is attached below.

What is function?

The function is a relationship between a set of potential outputs and a set of possible inputs, where each input has a single relationship with each output. This means that if an object x is present in the set of inputs (also known as the domain), then a function f will map that object to exactly one object f(x) in the set of potential outputs (called the co-domain).

Given:

r(t) = 210 - 15t

Calculate the height after 10 minutes as shown below,

The height = 210 - 15 × 10

The height = 210 - 150

The height = 60

At time 0 the height will be,

The height = 210 - 15 × 0

The height = 210 - 0

The height = 210 meters,

Thus, the coordinates will be (210, 0) and (60, 10)

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how many prime numbers are multiples of 8​

Answers

There are no prime numbers are multiples of 8​. All the multiples of 8 are divided by 2.

What is a prime number?

Prime numbers are whole numbers larger than one with only one element the number itself. Prime numbers can only be divided by the number 1 or by themselves.

All the terms that come in the table of 8 are multiples of 8.

8, 16, 24, 32, 40, 48, 56, 64, 72, and 80 are the multiples of 8. There are no prime numbers are multiples of 8​.

Hence there is no prime numbers multiples of 8​.

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Solve 3h+g=5h-hg for h

Answers

Answer: [tex]h=\frac{-g}{g-2}[/tex]

Step-by-step explanation:

Let's solve for h.

[tex]3h+g=5h-hg[/tex]

Step 1: Add [tex]gh[/tex] to both sides.

[tex]g+3h+gh=-gh+5h+gh[/tex]

[tex]gh+g+3h=5h[/tex]

Step 2: Add [tex]-5h[/tex] to both sides.

[tex]gh+g+3h+-5h=5h+-5h[/tex]

[tex]gh+g-2h=0[/tex]

Step 3: Add [tex]-g[/tex] to both sides.

[tex]gh+g-2h+-g=0+-g[/tex]

[tex]gh-2h=-g[/tex]

Step 4: Factor out the variable [tex]h[/tex].

[tex]h(g-2)=-g[/tex]

Step 5: Divide both sides by [tex]g-2[/tex].

[tex]\frac{h(g-2)}{g-2} =\frac{-g}{g-2}[/tex]

[tex]h=\frac{-g}{g-2}[/tex]

Answer:

[tex]h=\frac{-g}{g-2}[/tex]

Simplify the expression
( 3n • 2n^3)^2

Answers

Answer:

[tex] \large\color{red}{ \tt{36n⁸}}[/tex]

Step-by-step explanation:

[tex] \large\color{lime}{ \tt{(3n×2n³)²}}[/tex]

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

[tex] \large\color{lime}{ \tt{(3n⁴ × 2)²}}[/tex]

Multiply 3 and 2 to get 6.

[tex] \large\color{lime}{ \tt{(6n⁴)²}}[/tex]

Expand (6n⁴)².

[tex] \large\color{lime}{ \tt{6²(n⁴)²}}[/tex]

To raise a power to another power, multiply the exponents. Multiply 4 and 2 to get 8.

[tex] \large\color{lime}{ \tt{6²n⁸}}[/tex]

Calculate 6 to the power of 2 and get 36.

[tex] \large\color{lime}{ \tt{36n⁸}}[/tex]

Hope It's Help

The area of a rectangle is 4y+10.A.Represent the area of the rectangle in factored form.B.Use the factored form to give one possible set of dimensions for this rectangle

Answers

Answer:

2 ( 2y + 5 )

Step-by-step explanation:

→ Take out 2 as a factor

2 ( 2y + 5 )

Answer:

A = 2(2y + 5)2 and 11 (when y = 3)

Step-by-step explanation:

The area equation is:

A = lw

Given:

A = 4y + 10

This can be factored as:

A = 2(2y + 5)

Let y = 3, then the dimensions are:

2 and 2*3 + 5 = 11

find the value of the angles marked 'x' and 'y' ​

Answers

Answer:

x=120 y=60

Step-by-step explanation:

Interior angle of a hexagon = 120

Straight line = 180

180-120=60

which sets does -8/9 belong to

Answers

Answer:

all of the above

Step-by-step explanation:

simplify -4y+8y answer quick pls

Answers

Step-by-step explanation:

-4y + 8y = 4y

it is the same as -4 + 8 = 4

Answer:

4y is the answer.

Step-by-step explanation:

Since there is like variables, we can add -4y and 8y.

=> -4y + 8y = 4y.

Therefore, 4y is the answer. Hoped this helped.

Rachel invests $25,000 at age 25. She hopes the investment will be worth $125,000 when she turns 50. If the interest compounds continuously, approximately what rate of growth will she need to achieve her goal? Round to the nearest tenth of a percent.

Answers

The rate of growth will she need to achieve her goal is 2.8%

The formula for finding the compound amount is expressed as:

[tex]A =P(1+\frac{r}{n} )^{nt}[/tex]

P is the amount invested = $25000

t is the time in years = 25 years

A is the amount = $125000

r is the rate in %

Substitute the given parameters into the formula to have:

[tex]125000 =25000(1+r )^{25}\\5 =(1+r)^{25}\\log5=25log(1+r)\\log(1+r)=\frac{log5}{25} \\log(1+r)=0.02796\\1+r = e^{0.02795}\\1+r=1.0283\\r = 1.0283 -1\\r = 0.0283\\[/tex]

Hence the rate of growth will she need to achieve her goal is 2.8%

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1. Find the value of y that corresponds to x = 5 :
y = - 4 + 5(x + 6)

Answers

Answer:

X=5

y= -4+5(5+6)

y= -4+25+30

y= -4+55

y = 51

can somebody help me plssssss

Answers

Answer:

They are equal, so =

Step-by-step explanation:

We know that one-half is .50.  3/2 is an improper fraction and when we solve to a decimal, we get 1.5.  

Tim bought 3 pens and 5 pencils at the school store. The pens and pencils
were the same price. He also bought 2 erasers for 50¢ each. He spent $5 total
at the school store. How much is a pen or pencil at the school store?

Answers

Answer:

The answer to " How much is a pen or pencil at the school store?" is $0.5

Step-by-step explanation:

3+5=8

-1.00 for erasers

total cost now =4

4/8= $0.5

total cost of everthing =5

Guided Practice

The graph of y = 2(x + 1)2 − 4 is a translation 1 unit horizontally and 4 units vertically of the function y = 2x2. Graph this function in your notebook.


Type your answer and then click or tap Done.

The vertex of the parabola is (Fill in the blank text field 1
, Fill in the blank text field 2
( , )

Answers

Answer:

Step-by-step explanation:

hmm

The graph of a quadratic function is always a parabola. The vertex of the parabola after transformation is (-1,-4).

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

The graph of the two functions can be made as shown below. Therefore, the two functions are,

y=2x² → Drawn by the red line

y = 2(x + 1)² − 4 → Drawn by the blue line

Now, the vertex of a quadratic function or a parabola is the point at which the function or the parabola changes its slope, it's either the maximum of the function or the minimum of the function, depending on which side the parabola opens.

Hence, The vertex of the parabola after transformation is (-1,-4).

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Solve for k:

k + 6 > -37

Answers

Answer:

[tex]\sf k + 6 > -37[/tex]

[tex]\sf k+6-6>-37-6[/tex]

[tex]\boxed{\sf k>-43}[/tex]

Answer:

Subtract 6 from both sides:

K +6 - 6 > - 37 - 6

Simplify the arithmetic:

k > - 37 - 6

Simplify the arithmetic

k > - 43

A club with 26 members is to select five officers (president, vice president, secretary, treasurer, and historian). In how many ways can this be done?

Answers

Answer:

9,687,600

Step-by-step explanation:

27P5

= 27!/(27-5)!

= 27!/22!

= 27*26*25*24*23

= 9,687,600

Write the equation of the line parallel to the line and passing through the point.
y=x+5, (8, 1)

Answers

Answer:

y=2x+9

Step-by-step explanation:

I got y-2x+9 because if you add 8-1 that equals 7 and if u do 7-5 that equals 2 so y2x and then 7 Plus 2 equals 9 so it all adds up to Y=2x+9?.

if 1/2x + 6 = -x -3, what is the value of -2x?

Answers

Answer:

12

Step-by-step explanation:

Hi there!

We are given the following equation:

1/2x + 6 = -x-3

And we want to find the value of -2x

First, let's solve for x, and then substitute the number found as x into -2x to find the value of -2x

Start by adding x to both sides to remove -x from the right side

1/2x + 6 = -x -3

+x            +x

_______________

3/2x+6=-3

Subtract 6 from both sides to remove it from the left side

3/2x=-9

Multiply both sides by 2/3 in order to clear the fraction

x=-6

Now substitute -6 as x into -2x

-2x

x=-6

-2(-6)=12

Hope this helps!

Felicia bought 20.8 gallons of gasoline. There are approximately 3.8 liters in 1 gallon.

Answers

Answer:

79.04 liters

Step-by-step explanation:

20.8 x 3.8 = 79.04

Derivative this Problem.

Answers

[tex]\\ \sf\longmapsto {\displaystyle{\lim_{x\to 1}}}\dfrac{x^2-1}{x-1}[/tex]

[tex]\\ \sf\longmapsto {\displaystyle{\lim_{x\to 1}}}\dfrac{x^2-1^2}{x-1}[/tex]

[tex]\\ \sf\longmapsto 2(1)^(2-1)[/tex]

[tex]\\ \sf\longmapsto 2(1)[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

Step-by-step explanation:

[tex] \tt \lim \limits_{x \to1} \frac{ {x}^{2} - 1 }{x - 1} = ...[/tex]

[tex] = \tt \lim \limits_{x \to1} \frac{(x + 1) \cancel{(x - 1)}}{ \cancel{(x - 1)}} [/tex]

[tex] = \tt \lim \limits_{x \to1}(x + 1)[/tex]

[tex] = \tt1 + 1[/tex]

[tex] = \boxed{ \bold{ \blue{ \underline2}}}[/tex]

Bella conducted a scientific experiment. For a certain time, the temperature of a compound rose
3
1
3
3
3
1

degrees in
15
15 minutes. What was the rate, in degrees per hour, that the temperature of the compound rose?

Answers

Answer: 13 1/3 degrees per hour

Explanation: 10/3 x 4 = 40/3

40/3 = 13 1/3

Of 90 gallons of water the average person uses each day, 30% is used outdoors. Mason wants to know how much water is used outdoors. How much water is used outdoors.

Answers

Answer:

The Awnser is 27 for both I did that I-ready before

Step-by-step explanation:

Answer:

27 for both blanks

Step-by-step explanation:

I just did it on iready and I got it correct

(-4) ⁴ what is the value of this expression

Answers

256 is the answer of this expression

how many ten thousand are in 1,000,000?​

Answers

Answer:

100

Step-by-step explanation:

10,000 * 100 = 1,000,000

So there are 100 ten thousands in 1,000,000

Which of the following is not a question to ask to determine the reasonability of a solution?
A. Do the units match what is given in the word problem?
B. Does the answer match what the question is asking for in the problem?
C. Does the numerical answer match up with the correct variable?
D. Is the magnitude of the numeric portion of the answer within an expected range?

Answers

Answer:

D IS THE ANSWER

Step-by-step explanation:

HOPE IT HELPS

Select the geometric figure that correctly matches with the following formula:

A=[tex]\pi r^{2}[/tex]

Answers

Answer:

Circle

Step-by-step explanation:

The area of a circle is

[tex]\pi r^{2}[/tex]

A. circle

The area of a circle is 2[tex]\pi[/tex]

What is the formula for the circle?

The Circle Formulas are expressed as,

the Diameter of a Circle. D = 2 × r. Circumference of a Circle. C = 2 × [tex]\pi[/tex] × r.Area of a Circle A = 2[tex]\pi[/tex]

The collection of all points equidistant from a fixed point in a plane is called a circle.

the circle is a closed 2-dimensional figure in which the set of all the points in the plane is equidistant from a given point called the “center”. Every line that passes through the circle forms the line of reflection symmetry.

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HELP ME OUT PLEASE

Use the data to create a scatter plot. ​

Answers

Answer: i dont know if this will be correct but, the 2 goes on the bottom count 5 up so you will get the first one done, bottom 3 and count up 8, bottom 4 and count up to 13, its the same for all of them.

Step-by-step explanation:

Please help me please

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The translation can be can be expressed as : -

A translation

up 8 units and left 7 units

[tex]꧁  \:  \large \frak{Eternal \:  Being } \: ꧂[/tex]

Determine whether the points p1 (6,9,7), p2(9,2,0), and p3(12,-5,-6) lie on the same line

Answers

Answer:

They are not.

Step-by-step explanation:

Let's first calculate the vectors joining the first point to the second and the first to the third, they will be useful later.

[tex]\vec v_1_2 = \vec P_2 -\vec P_1 = <3; -7; -7>\\\vec v_1_3= \vec P_2 -\vec P_1 = <6; -14; -13>[/tex]

At this point we have at least three options:

Write down the line between P1 and P2 in vector form, and then see if we can fit the third point in there.

Calculate the cross product between the two, if it's non-zero the three point are not in a line.

Try to determine the plane passing for the 3 points: if we find one they are not in a line.

Option 1:

The vector form of the lne between the firs two points is [tex]<6+3t;9-7t;7-7t>[/tex]. Let's check the coordinates of the third point:

[tex]x_3:\ 6+3t= 12 \rightarrow t=2\\y_3:\ 9-7t = -5 \rightarrow t =2\\7z_3:\ 7-7t=-6 \rightarrow t = 13/7\ne 2[/tex]

So the three points are not in a line.

Option 2:

Let's calculate the cross product of the two vectors we found at the beginning.

[tex]\vec v_1_2 \times \vec v_1_3 = det \left[\begin{array}{ccc}\hat i&\hat j&\hat k\\3&-7&-7\\6&-14&-13\end{array}\right] = \hat i [-7(-13)-(-14)(-7)] - \hat j[3(-13)-6(-7)]+\hat k [3(-14)-6(-7)] = 7\hat i -3 \hat j + 0 \hat k \ne 0[/tex]

Since the result is not the null vector, the three points are not in a line.

Option 3:

Let's write the plane (in the [tex]z= ax+by+c[/tex] form that contain the three points. If the thre points are in a line, means that we can find only two of these parameters.

[tex]P1: 7= 6a+9b+c\\P2: 0= 9a+6b+c\\P3: -6= 12a-5b +c[/tex]

Since you can determine a, b and c ( I ended up with [tex]a=-\frac {10}3; b=-\frac18; c= \frac{123}8[/tex] but I probably messed something in there) the thre points are not in a line

Clare had t books. After she bought 8 more books, she had 24 books. Write and solve an equation to find the number of books Clare started with

Answers

Answer:

24-8=t

Step-by-step explanation:

I cant really explain much...

but, Hope it helps

plz mark brainiest if it does

The mass of Earth is approximately 6 x 10^27 that of the Sun is 330,000 times as much. The gravitational constant is 6.7 x 10^-8 cm/s2.g. The distance of Earth from the Sun is about 1.5 x 10^12 cm. Compute, approximately, the work necessary to increase the distance of Earth from the Sun by 1 cm.​

Answers

Answer:

12.89

Step-by-step explanation:

ititiiitiiiuuyhgtfvnmmnhhnjijli

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