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soldi70 [24.7K]

1 year ago

12

1. What is the slope of a line that is parallel to the line represented by the equation y=-2/5x + 4/5

1 answer:

lbvjy [14]1 year ago

4 0

Hi student, let me help you out! :)

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We are asked to find the slope of the line that is parallel to the line $\star~\mathrm{y=-\cfrac{2}{5}x+\cfrac{4}{5}}$ .

$\triangle~\fbox{\bf{KEY:}}$

Parallel lines have the same slope.

So let's first determine the slope of the first line, and then let's find the slope of the line that's parallel to it.

$\circ\!\!\!\star\mathcal{HINT:}$

The slope is the coefficient of x.

So the slope is

$\star~\mathrm{-\cfrac{2}{5}}$ .

Can you guess the slope of the line that is parallel to the first line?

That's right! The slope is...

$\star~\mathrm{-\cfrac{2}{5}}$

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

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Anettt [7]

Answer:

The total number of U.S. high school students that played on a sports team that year can be estimated to be 7,950,000.

Step-by-step explanation:

From the random sample, we can expect that $\frac{250000}{500000}=\frac{1}{2}$ of all students played on a sports team that year. So in the bigger sample of 15900000 high school students, we can expect $15900000 \cdot \frac{1}{2} = 7950000$ students to have played on a sports team that year.

7 0

2 years ago

Evaluate f^3+11g-4h when f= 3, g=2 and h=7

vladimir2022 [97]

Step-by-step explanation:

=f³+11×g-4×h

=3³+11×2-4×7

=27+22-28

=21

is yr answer.

3 0

2 years ago

On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a verte

statuscvo [17]

Answer:

Option 4.

Step-by-step explanation:

The vertex form of a parabola is

$g(x)=a(x-h)^2+k$ ... (1)

where, a is a constant (h,k) is vertex.

The given function is

$f(x)=x^2$

The vertex of the function is (0,0) and it goes through (-2, 4) and (2, 4).

It is given that the vertex of function g(x) is at (5,2).

Substitute h=5 and k=2 in equation.

$g(x)=a(x-5)^2+2$

g(x) is passes through (3, 6).

$6=a(3-5)^2+2$ .... (2)

$6-2=4a$

$4=4a$

Divide both sides by 4.

$a=1$

Substitute a=1 in equation (2).

$g(x)=1(x-5)^2+2$

$g(x)=(x-5)^2+2$

The function g(x) is $g(x)=(x-5)^2+2$ .

Therefor, the correct option is 4.

3 0

2 years ago

Read 2 more answers

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Margarita [4]

Answer

An equilateral.

Step-by-step explanation:

The degrees are the same and so 60=60=60. The triangle is a equilateral.

6 0

2 years ago

Find 2 numbers who product is 15 and sum is 16.

Marizza181 [45]

Answer:

15 and 1

Step-by-step explanation:

x and y are two numbers.

Two equations:

x · y = 15

x + y = 16

Rearrange one of the equations (I'll rearrange the sum equation):

x + y = 16

x = 16 - y

Substitute that to the other equation and solve for y:

x · y = 15

(16 - y) · y = 15

16 - y · y = 15

16 - y² = 15

-y² = 15 - 16

-y² = -1

y² = 1

y = √1

y = 1

Now substitute that to any of the equation and solve for x (in here, I'll choose the multiplication one):

x · y = 15

x · 1 = 15

x = 15

Now verify:

15 · 1 = 15

15 + 1 = 16

This is correct

6 0

2 years ago