What is the range of the graph?

Write an equation of the form y = mx for the line shown below. If appropriate,

9966 [12]

Answer:

y = - 0.5x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (2, - 1) ← 2 points on the line

m = $\frac{-1-2}{2-(-4)}$ = $\frac{-3}{2+4}$ = $\frac{-3}{6}$ = - 0.5

The line crosses the y- axis at (0, 0 ) ⇒ c = 0

y = - 0.5x + 0 . that is

y = - 0.5x

6 0

2 years ago

Two polygons are similar. What is the correct similarity statement?<br>

joja [24]

Answer:

option 3

Step-by-step explanation:

Given the 2 triangles are similar then corresponding angles are congruent.

Calculate the missing angles in both triangles.

∠ A = 180° - (90 + 35)° = 180° - 125° = 55°

∠ L = 180° - (90 + 55)° = 180° - 145° = 35°

Consider ACB ~ MNL , comparing corresponding angles

∠ A= 55° and ∠ M = 90° ← not congruent

Consider ABC ~ LMN, comparing corresponding angles

∠ A = 55° and ∠ L = 35° ← not congruent

Consider CBA ~ LMN , comparing corresponding angles

∠ C = 35° and ∠ L = 35° ← congruent

∠ B = 90° and ∠ M = 90° ← congruent

∠ A = 55° and ∠ N = 55° ← congruent

The correct similarity statement is

CBA ~ LMN

6 0

3 years ago

Read 2 more answers

Mike makes 4 dozen cookies. He brings 75% of them for a party at his school. How many did he bring?

baherus [9]

Answer:

He brought 3 dozen cookies

She ate $\frac{2}{5}$ of the bag of Doritos

She read 25 books

Step-by-step explanation:

∵ Mike makes 4 dozen cookies

∵ He brings 75% of them for a party at his school

- Multiply 75% by 4

∵ 75% = $\frac{75}{100}=\frac{3}{4}$

∴ He brought = $\frac{3}{4}$ × 4

∴ He brought = 3

He brought 3 dozen cookies

∵ Sam bought a bag of Doritos

∵ She ate only 40% of them

∵ 40% = $\frac{40}{100}=\frac{2}{5}$

∴ She ate = $\frac{2}{5}$ × 1

∴ She ate = $\frac{2}{5}$

She ate $\frac{2}{5}$ of the bag of Doritos

∵ Jamie took 50 books from the library

∵ She only read half of her whole stack

- Multiply half by 50

∴ She read = $\frac{1}{2}$ × 50

∴ She read = 25

She read 25 books

3 0

3 years ago

The Weight On Earth Compared To Some Rando Planet... pls help

earnstyle [38]

Answer:

if your talking about the earth i dont know because no one have ever compared some random planet and earths weight

Step-by-step explanation:

That’s because the planets weigh different amounts, and therefore the force of gravity is different from planet to planet. For example, if you weigh 100 pounds on Earth, you would weigh only 38 pounds on Mercury. That’s because Mercury weighs less than Earth, and therefore its gravity would pull less on your body.

3 0

2 years ago

The number of carbon atoms in a fossil is given by the function y= 5100(0.95)^x where x represents the number of years since bei

natita [175]

Answer:

This is a guess!

When looking at the given equation I can not help but think of compound interest. So I am going to convert this into that format.

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Within the context of financial interest:

Looking for:

P

(

1

−

x

)

n

Where P is the principle sum,

x

is the interest and n is the number of interest cycles (annual)

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Given:

y

=

5100

(

0.95

)

x

But

0.95

=

1

−

0.05

so we have

y

=

5100

(

1

−

0.05

)

x

But

.

0.05

=

5

100

So we have

y

=

5100

(

1

−

5

100

)

x

Thus the percentage change each year is

−

5

%

Step-by-step explanation:

8 0

3 years ago