Write an equation for the line that is parallel to 8x + 2y = 4 and goes through (0,7)​

Answers

Answer 1

Answer:

y = -4x +7

Step-by-step explanation:

First, we need to find the slope of the first equation

8x + 2y = 4

Subtract both sides by 8x

8x + 2y = 4

-8x         -8x

2y = -8x + 4

Then divide both sides by 2 to isolate the variable, y

2y/2 = (-8x + 4)/2

y = -4x + 4

This means the slope is -4, so our other equation will need to have the slope of -4 to be parallel

y = -4x + ?

Wait, the equation also needs to be a line where it goes through (0,7)

Luckily, that just seems to be the y-intercept, so our work is cut out for us.

Here is our equation

y = -4x + 7

You can plug in the numbers to check

7 = -4(0) +7

7 = 0 + 7

7 = 7


Related Questions

why can u write both addition expression and subtraction expression for the situation

Answers

Answer:

It depends if the number is an integer {-1,+7,-7}

e.g -7+4

these numbers are integers that is why you can write both addition and subtraction expressions

9. Maria usually pays $3.10 per pound for her favorite granola. Which of the answers below is
a better deal?
A. 2 pounds for $6.49
B. 3 pounds for $10
C. 5 pounds for $14.75
D. 8 pounds for $28
What’s the answer

Answers

Answer:

c

Step-by-step explanation:

The answer is C. To find the answer all you need to do is divide the money per pound for each option until you find the lowest deal.

A is not a good deal because its about $3.14 for a pound

B is not a good deal because its about $3.33 per pound

D is not a good deal because its $3.50 per pound

C IS a good deal because it's $2.95 per pound

Answer:

c

Step-by-step explanation:

The answer is C. To find the answer all you need to do is divide the money per pound for each option until you find the lowest deal.

A is not a good deal because its about $3.14 for a pound

B is not a good deal because its about $3.33 per pound

D is not a good deal because its $3.50 per pound

C IS a good deal because it's $2.95 per pound

what is equivalent expression to 0.112 - 16/75 A -0.112 + 16/75 B -0.112 (-16)/75 C 0.112 + (-16)/75

Answers

Answer:

C

Step-by-step explanation:

0.112 + (-16)/75 is equivalent to 0.112 - 16/75

This is finding the midpoint. Please help

Answers

Answer:

hence the required midpoint of the given line is (9,5)

Answer:

[tex]( \frac{6 + 2}{2} +\frac{12 + 8}{2}) = ( \frac{8}{2} + \frac{20}{2} ) = (4 \: comma10)[/tex]

The answer is :(4, 10)

-5.025, -square root of 25, -5 1/2, -11/2 least you greatest

Answers

answer =-51/2,-11/2,-5.025,-✓25

-✓25=-5

-11/2=-5.5

-51/2=-25.5

-5.025

When the sum of the internal angles of a polygon is 10 right angles, then how
many sides does it have?

Answers

Answer:

7 sides

Step-by-step explanation:

formula for sum of interior angles

(n-2)× 180= 10 right angles

(n-2)× 180 = 900

n-2= 900÷180

n= 5+2

n= 7

The following table shows the amount of money earned by the key club from a car wash. Use the table to determine what the rate of change is if the amount of money made is dependent on the number of cars washed.

Answers

Answer:

Can u help me

Step-by-step explanation:

With my maths question

marginal relative frequency example?

Answers

Answer:

Marginal relative frequency is the ratio of the sum of the joint relative frequency in a row or column and the total number of data values. Remember, the marginal frequency numbers are the numbers on the edges of a table, kind of like the margins are the areas on the edge of a paper.

Write an equation in slope-intercept form of a line that passes through the point (-4,9) and has a slope of 1/2.

Answers

Answer:

y = 1/2x + 11

Step-by-step explanation:

y = 1/2x + b

9 = 1/2(-4) + b

9 = -2 + b

b = 11

is 3.4567, 3.4567... irrational or rational

Answers

Answer:

Irrational

Step-by-step explanation:

Because irrational this number do not repeat so there for it is not rational.

Ben took part in a 45km bicycle race.Ben cycled at a speed of v km/h for the entire race.Express the time taken by Ben in terms of v.​

Answers

Answer:

(45/v) hours

Step-by-step explanation:

that is the answer yep

Answer:

45/v =t

Step-by-step explanation:

Cuz the normal formula is

V= d/t

Therefore

t= d/v

And u know D = 45km so..

t=45/v

You use a crowdfunding website to raise money. the website keeps 5% of each donation. Five of your friends each donate the same amount.e total funding you receive is $47.50. How much does each friend donate?

Answers

Answer:

Step 1:

Let x represent the amount of each friend donate

Website keeps = 5%

Total funding I receive = $ 47.50

4.75x = $47.50

Step 2:

4.75 = $47.50       - Write the equation

[tex]\frac{4.75x}{4.75}[/tex] = [tex]\frac{47.50}{4.75}[/tex]            - Divide both sides of the equation by 4.75

The solution is x = 10

ANSWER: Each friend donates $10

hope this helps Have a good day.

Each friend donates $10.

It is required to find How much does each friend donate.

What is arithmetic?

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given :

The website keeps 5% of each donation.

Five of your friends each donate the same amount.

Total funding receive is $47.50.

Let x represent the amount of each friend donate

According to question we have,

4.75x = $47.50

Divide both sides of the equation by 4.75 we get,

x = 10

Therefore, each friend donates $10.

Learn more about arithmetic here:

brainly.com/question/24423838

#SPJ2

WHATS 9+10??????????????

Answers

21 of course
……………………
9+10= 19

Hope it helpss!!!!!

giải phương trình :
-4x-8x>0

Answers

Answer:

[tex]x < 0[/tex]

Step-by-step explanation:

[tex] - 4x - 8x > 0[/tex]

➡️ [tex] - 12x > 0[/tex]

➡️ [tex]x < 0[/tex]

Solve the following problem. Round to one decimal place if necssary.

Answers

Answer:

x = 16.1051577

Step-by-step explanation:

tan0 = opp/adj

tan0 = 14/x

tan(49)× 14 = 16.1051577

if (2x,3y) =(8, 9),find x and y​

Answers

Answer:

x = 4, y = 3

Step-by-step explanation:

Equating corresponding coordinates , gives

2x = 8 ( divide both sides by 2 )

x = 4

and

3y = 9 ( divide both sides by 3 )

y = 3

2sinx/2cosx-secx=tan2x​

Answers

Answer:

hope it help u

Step-by-step explanation:

2sinx/(2cosx – secx)

=2 sinx/(2cosx–1/cosx)

as secx = 1/ cosx

multiplying both the denominator and numerator by cost,we get

2sinxcosx/( 2cos^2x –1) =cos2x

since,2sinxcosx = sin2x and 2cos^2 –1=cos2x

2sinxcosx/(2cos^2x– 1)= sin2x/ cos2x = tan2x

look at the adjoining figure and write 2 pairs of intersecting lines.​

Answers

Answer:

Line AB and Line GHLine CD and Line FF

Concept:

Intersecting lines are lines that overlap upon only one point. The number of lines can be two or more.

Intersecting lines can intersect at any angle.

Solve:

There are in total four intersecting points in the given figure.

As we can see from the figure, any two lines would intersect each other

Therefore, 2 pairs of intersecting lines can be any pairings of lines that are not in the same orientation.

Line AB and Line GHLine CD and Line FF

Hope this helps!! :)

Please let me know if you have any questions

Which statement is supported by the graph?

The bicycle has speed but not velocity.
The bicycle is moving at a constant velocity.
The bicycle has a displacement of 3 m.
The bicycle is not in motion.

Answers

Answer:

The correct answer is D. The bicycle is not in motion.

Step-by-step explanation:

In the position-time graph we can see that the position of the cycle hasn't changed when the time has changed (e.g. when time changes from 2s to 3s, the position remains 3m). Therefore, we can conclude that the cycle is not moving, and therefore answer D. is correct.

Answer:

its d

Step-by-step explanation:

Find the equation of the tangent of x^2- xy + y^2 =7 at (-1, 2)

Answers

Answer:

It is 3y = 4x + 10

Step-by-step explanation:

Let's first get the slope of the curve.

[ slope is the derivative of the equation ]

[tex] {x}^{2} - xy + {y}^{2} = 7[/tex]

introduce dy/dx :

[tex] \frac{d}{dx} ( {x}^{2} - xy + {y}^{2} ) = \frac{d}{dx} (7) \\ \\ 2x - (y + \frac{dy}{dx} ) + 2y \frac{dy}{dx} = 0[/tex]

make dy/dx the subject:

[tex]2x - y - \frac{dy}{dx} + 2y \frac{dy}{dx} = 0 \\ \\ 2y \frac{dy}{dx} - \frac{dy}{dx} = y - 2x \\ \\ \frac{dy}{dx} (2y - 1) = y - 2x \\ \\ \frac{dy}{dx} = \frac{y - 2x}{2y - 1} [/tex]

At point (-1, 2):

[tex] \frac{dy}{dx} = \frac{2 - 2( - 1)}{2(2) - 1} \\ \\ slope = \frac{4}{3} [/tex]

but a tangent has the same slope as the curve:

[tex]y = mx + c[/tex]

m is the slope

c is the y-intercept

At (-1, 2):

[tex]2 = ( - 1 \times \frac{4}{3} ) + c \\ \\ c = 2 + \frac{4}{3} \\ \\ c = \frac{10}{3} [/tex]

equation:

[tex]y = \frac{4}{3} x + \frac{10}{3} \\ \\ { \boxed{3y = 4x + 10}}[/tex]

Answer:

Step-by-step explanation:

Here is an other way:

z=f(x,y)=x²-xy+y²-7=0

[tex]\dfrac{\partial f(x,y)}{\partial x} =2x-y\\\\\dfrac{\partial f(x,y)}{\partial y} =-x+2y\\\\\\\dfrac{dy}{dx} =-\dfrac{\dfrac{\partial f(x,y)}{\partial x} }{\dfrac{\partial f(x,y)}{\partial y}} =-\dfrac{2x-y}{-x+2y} \\\\(-1;2)\\Slope=-\dfrac{2*(-1)-2}{1+2*2} =\dfrac{4}{5} \\\\y-2=\frac{4}{5} (x+1)\\\\\\\boxed{y=\dfrac{4x}{5} +\dfrac{14}{5} }[/tex]

Find tan A of a RIGHT TRIANGLE with side lengths b = 8 and c = 12

Answers

a= 4 units 5 => tan A = a/c

Calculus (yet again)!

The water level of a certain body of water is changing at a rate of [tex]W(t) = \frac{1}{2}cos(3 - \frac{t}{2})[/tex] inches per hour, where t represents hours since 12 a.m.
What is the average hourly number of inches that the water level changes for this lake in one day?

I'm pretty sure that the number of inches that the water changes in one day would be represented by [tex]\int\limits^2_0 {W(t)} \, dt[/tex] (where the number on top of the integral is a 24), but how would I set up an integral for the average hourly number of inches? Thank you so much!

Answers

Answer:

The average hourly number of inches that the water level changes per day is about 0.0231 inches per hour.

Step-by-step explanation:

The water level of a certain body of water is changing at a rate represented by the function:

[tex]\displaystyle W(t) = \frac{1}{2}\cos \left( 3- \frac{t}{2}\right)[/tex]

Where W is measured in inches per hour and t represents hours since 12 A.M.

And we want to determine the average hourly number of inches that the water level changes for the lake in one day.

Recall that the average value of a function is given by:

[tex]\displaystyle f_\text{avg} = \frac{1}{b-a} \int_{a}^{b} f(x) \, dx[/tex]

Hence, the find the average hourly number of inches that the water level changes in one day, we simply need to find the average value of W from t = 0 to t = 24.

Substitute:

[tex]\displaystyle W(t)_{\text{avg}} = \frac{1}{(24)-(0)} \int_{0}^{24} \frac{1}{2}\cos \left(3 - \frac{t}{2}\right) \, dt[/tex]

Simplify:

[tex]\displaystyle W(t)_{\text{avg}} = \frac{1}{24} \int_{0}^{24} \frac{1}{2}\cos \left(3 - \frac{t}{2}\right) \, dt[/tex]

Evaluate using u-substitution. We can let:

[tex]\displaystyle u = 3 - \frac{t}{2} \Rightarrow du = -\frac{1}{2}\, dt\Rightarrow -2\, du = dt[/tex]

Hence:

[tex]\displaystyle W(t)_{\text{avg}} = -\frac{1}{24} \int_{3}^{-9} \cos u \, du[/tex]

Evaluate:

[tex]\displaystyle \begin{aligned} W(t)_{\text{avg}} &= \frac{1}{24}\int_{-9}^{3} \cos u\, du \\ \\ &= \frac{1}{24}\left(\sin u\Big|_{-9}^{3}\right) \\ \\ &= \frac{1}{24}\left(\sin3 - \sin -9\right) \\ \\ &=\frac{1}{24}\left(\sin 3 + \sin 9\right) \\ \\ &\approx0.0231 \end{aligned}[/tex]

In conclusion, the average hourly number of inches that the water level changes per day is about 0.0231 inches per hour.

What’s the answer to this? Please send help

Answers

Answer:

B

Step-by-step explanation:






answer it plz


step by step plz​

Answers

Answer:

I HOPE IT WILL HELP YOU A LOT.

Have a great day ahead.

Simplify (ab)(ab)(ab)(ab).

ab 4
a 4b 4
4ab

Answers

Answer:

[tex] {a}^{4} {b}^{4} [/tex]

Step-by-step explanation:

[tex](ab) \times (ab) \times (ab) \times (ab)[/tex]

[tex] {a}^{1 + 1 + 1 + 1} {b}^{1 + 1 + 1 + 1} [/tex]

[tex] = {a}^{4} {b}^{4} [/tex]

Points a, b and c are collinear point b is between a and c find the length indicated

Answers

Points A , B and C are collinear......

The domain for f(x) and g(x) is the set of all real numbers
Let f(x) = 3x + 5 and g(x) = x^2
Find (f + g)(x).

Answers

Answer:

3x square + 5 is your answer

Solve for x: |4x + 12| = 16 (5 points)

Group of answer choices

x = 7, x = −7

x = 1, x = −1

x = 1, x = −7

x = −1, x = 7

Answers

X= 1 , X= –7

I hope I helped you^_^

Find the equation of the line that is perpendicular to y=-2x+1 and contains the point (8, 2).

Answers

Answer:

y = 1/2x - 2

Step-by-step explanation:

In order for a line to be perpendicular to another, the lines must have opposite reciprocal slopes.

Example of an opposite reciprocal slope: -2 ⇒ 1/2

Insert the information into the point-slope formula:

[tex]y-y_1=m(x-x_1)\\\\y-2=\frac{1}{2}(x-8)\\\\y-2=\frac{1}{2}x-4\\\\y=\frac{1}{2}x-2[/tex]

10q - 20 is equivalent to _____.

2(q - 10)
10(q - 20)
10(q - 2)

Answers

The answer is the third one bc if you distribute, you’ll end up with 10q-20.
I hope that helps
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