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2 years ago

If you are smart in ranges, graphs, and functions, pls help me out. Look at the screenshot below!

Mathematics

1 answer:

jeka942 years ago

6 0

Answer:

Graph of the equation y = 2/5x - 1

Please check the attached graph of the equation where:

The point (0, -1) represents the y-intercept, it is the point where the line crosses the y-axis.

The point (2.5, 0) represents the x-intercept, it is the point where the line crosses the x-axis.

Step-by-step explanation:

Given the equation

y = 2/5x - 1

Determining the y-intercept:

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

As the equation is given such as

y = 2/5x - 1

substitute x = 0

y = 2/5(0) - 1

y = 0 - 1

y = -1

so the ordered pair (0, -1) represents the y-intercept.

Thus, the y-intercept is: -1

Determining the x-intercept:

We know that the value of the x-intercept can be determined by setting x = y and determining the corresponding value of x.

As the equation is given such as

y = 2/5x - 1

substitute y = 0

0 = 2/5x - 1

2/5x = 1

x = 5/2

x = 2.5

so the ordered pair (2.5, 0) represents the x-intercept.

Graph of the equation y = 2/5x - 1

Please check the attached graph of the equation where:

The point (0, -1) represents the y-intercept, it is the point where the line crosses the y-axis.

The point (2.5, 0) represents the x-intercept, it is the point where the line crosses the x-axis.

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The perimeter of a rectangle is 42 inches, and its area is 110 square inches. find the length and width of the rectangle.

lorasvet [3.4K]

$p = 2w + 2l$ $p = 42$
$a = l * w$ $a = 108$

You want to make either the length or width variable (I chose the width variable to be by itself. It doesn't matter) by itself by:

Divide both sides by 2.
(p) ÷ 2 = (2w + 2l) ÷ 2
$2's$ $cancel$ $out$
$\frac{p}{2} = w + l$

Subtract both sides by either length or width depending on what variable you chose to make by itself (in this case I subtracted the length variable because I wanted the width variable by itself).
$\frac{p}{2} - l = w + l - l$
$l's$ $cancel$ $out$
p/2 - l = w

$a = l * w$

You replace w with the equation above p/2 - l = w
$a = l( \frac{p}{2} - l)$

Multiply out the L.
$a = \frac{p}{2}l - l^{2}$

Plug in all your numbers a = 110 and p = 42
$110 = \frac{42}{2}l - l^{2}$
$110 = 21l - l^{2$

Move everything to the left side so $l^{2}$ would be positive (makes the equation easier when $l^{2}$ is positive).
$l^{2} - 21l + 110 = 0$

Factor.
$(l -10)(l-11) = 0$

Make each parenthesis set equal to 0.
$l-11=0$ $l-10=0$

Add.
$l = 11$ $l = 10$

By doing this you solve for both the width and length so the answer is:
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8 0

3 years ago

ABCD is a quadrilateral inscribed in a circle, as shown below:

german

Answer:

A. (x + 16) + (6x − 4) = 180

Step-by-step explanation:

Inscribed quadrilateral has opposite angles supplementary.

So

m∠A + m∠C = 180°

m∠B + m∠D = 180°.

Since

m∠A = x + 16,
m∠B = x,
m∠C = 6x - 4,
m∠D = 2x + 16

we can use either pair of angle measures to work out the value of x and then find the value of each angle.

We can verify the first option is the only correct one.

m∠A + m∠C = 180°
(x + 16) + (6x − 4) = 180

3 0

3 years ago

Need Help ASAP!!!

Drupady [299]

Answer:

B) { $(-2, -3), (-3, -2), (2, 3), (3, 2)$ }

Step-by-step explanation:

A function cannot have replicated x-coordinates. All the other answer choices do, so you would pick this one.

I am joyous to assist you anytime.

8 0

3 years ago