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3 years ago

Which of the following expressions represents the perimeter of the figure? A. 5x-10. B. 5x-6. C. 10X-12. D. 10×-20

Mathematics

1 answer:

Gekata [30.6K]3 years ago

4 0

Answer:

D) 10x-20

Step-by-step explanation:

P = 2w + 2l

= 2(2x-8) + 2(3x-2)

= 4x-16 + 6x-4

= 10x-20

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4 years ago

The sum of three consecutive even integers is –78. What are the integers? Describe how you would use the strategy of writing an

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2 years ago

Which statements about the line that passes through (−2, 0) and (2, −4) are true? Select all that apply.

Gennadij [26K]

The statement about the line that passes through (-2, 0) and (2, -4) that are true are:

Option B:The line intersects the y-axis at (0, −2).

Option C: The equation of the line is y = −x − 2.

Option D: The line intersects the x-axis at (−2, 0).

Solution:

Given, two points are (-2, 0) and (2, -4)

We have to select the options that states true about line that passes through given two points.

Now, let us find the line equation that passes through given two points using point slope form.

$\mathrm{y}-\mathrm{y}_{1}=\mathrm{m}\left(\mathrm{x}-\mathrm{x}_{1}\right) \text { where } \mathrm{m} \text { is slope and }\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right) \text { is a point on the line. }$

Now slope "m" is given as:

$\mathrm{m}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{0-(-4)}{-2-2}=\frac{4}{-4}=-1$

Then, line equation = y – 0 = -1(x – (-2))

y = -1(x + 2)

y = -x – 2 --- equation 1

Now let us check options.

Option a) slope of line is 1

We know that slope of our line is -1 so this option is wrong.

Option b) line intersects y – axis at (0, -2)

When line meets y – axis x becomes 0 ⇒ 0 + y + 2 = 0 ⇒ y = -2 so point is (0, -2).

This option is right.

Option c) equation of line is y = -x – 2

The given equation is x + y + 2 = 0 ⇒ y = -x – 2 . so this option is correct.

Option d) line intersects at (-2, 0)

When line meets x – axis y becomes 0 ⇒ x + 0 + 2 = 0 ⇒ x = -2. So point is (-2, 0).

This option is right.

Hence, options b, c, d are correct.

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4 years ago

Find the area of the shape shown below.

Kobotan [32]

Area=28cm

Explanation:

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4 years ago

A recipe for casserole calls for 2 cups of rice. The recipe makes 6 servings of casserole. how many cups of rice will you need t

ss7ja [257]

You will need 3.333.... cups of rice to make 10 servings of casserole.

Explanation

The recipe which makes 6 servings of casserole, needs 2 cups of rice.

Suppose, you need $x$ cups of rice for making 10 servings of casserole.

Now, the equation according to the ratio of "cups of rice" to the "servings of casserole" will be.....

$\frac{x}{10}=\frac{2}{6}\\ \\ 6x= 2*10=20\\ \\ x=\frac{20}{6}=3.333.....$

So, you will need 3.333.... cups of rice to make 10 servings of casserole.

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4 years ago