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3 years ago

Find a linear equation that is perpendicular to y= 2x + 4 and passes through (-5, -3)

Mathematics

1 answer:

Trava [24]3 years ago

8 0

Answer:

y=-1/2x+7/2

Step-by-step explanation:

two lines are perpendicular if the product of the slopes is equal to -1

the slope for y=2x+4 is 2

2*x=-1

x=-1/2

the formula for the slope is

(y2-y1)/(x2-x1)=m

we know y1 and x1

(y+5)/(x+3)=-1/2

y+5=x+3/2

2y+10=x+3

2y=x-7

y=-1/2x+7/2

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Solve the following system of equations. (Hint: Use the quadratic formula.) f(x) = 2x² 3x g(x)=-3x² + 20 (0.-10) and (1, 17) (-2

jasenka [17]

The solution of the system of equation is the intersection point of the two quadratic equations, so we need to equate both equations, that is,

$2x^2-3x-10=-3x^2+20$

So, by moving the term -3x^3+20 to the left hand side, we have

$5x^2-3x-30=0$

Then, in order to solve this equation, we can apply the quadratic formula

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In our case, a=5, b=-3 and c=-30. So we get

$x=\frac{3\pm\sqrt{(-3)^2-4(5)(-30)}}{2(5)}$

which gives

$\begin{gathered} x=2.76779 \\ and \\ x=-2.16779 \end{gathered}$

By substituting these points into one of the functions, we have

$f(2.76779)=-2.982$

and

$f(-2.16779)=5.902$

Then, by rounding these numbers to the nearest tenth, we have the following points:

$\begin{gathered} (2.8,-3.0) \\ and \\ (-2.2,5.9) \end{gathered}$

Therefore, the answer is the last option

4 0

1 year ago

At wet pets, a starter tree aquarium kit cost $15 plus $.60 per fish. At grips and frills, the same kit is $13 plus $.80 per fis

Katena32 [7]

Answer:

The answer to your question is below

Step-by-step explanation:

Write an equation for the cost of fish at each fish store.

a) Wet pets

We must consider the initial price and the cost of each fish.

total cost = C

kit cost = $15

cost of each fish = $0.60

cost of one fish = f

C = 15 + 0.60f

Example, if the number of fish is 4, then the total cost will be

C = 15 + 0.60(4)

C = 15 + 2.4

C = $ 17.4

b) Grips and Frills

total cost = C

kit cost = $13

cost per fish = $0.80

cost of one fish = f

Equation

C = 13 + 0.8f

5 0

3 years ago

Mrs.Perez was looking at her back account statement. She noticed that her beginning balance was $500, and she added nothing to h

In-s [12.5K]

Answer:

0 because she spends it on nothing

8 0

3 years ago

After giving 1/3 of his jawbreakers to his sister and 1/4 to his brother, Jason still had 40. How many jawbreakers did he give t

givi [52]

I hope this helps you

8 0

3 years ago

What is the answer to this question?

andreyandreev [35.5K]

Answer:

A. 1,040

Step-by-step explanation:

To find the volume of a prism, you take the length and multiply it by the width then multiply it by the height. so length x width x height. In this case it's 10 x 13 x 8 = 1,040

Hope this helped you :)

Good luck :))

7 0

3 years ago