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2 years ago

Solve the proportional equation below:

Mathematics

1 answer:

Katarina [22]2 years ago

5 0

Answer:

C. $p=\frac{-2}{3}$

Step-by-step explanation:

$\frac{p}{2}=\frac{p-2}{8}$

both side times by 8

$8\times ( \frac{p}{2})=8 \times (\frac{p-2}{8})$

$4p=p-2$

both side subtract with p

$4p-p=p-2-p$

$3p=-2$

both side divide by 3

$p=\frac{-2}{3}$

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Simplify the expression. What classification describes the resulting polynomial?

netineya [11]

Answer:

Step-by-step explanation:

Given

(3x² - 11x - 4) - (2x² - x - 6)

Distribute both parenthesis, noting the second is distributed by - 1

= 3x² - 11x - 4 - 2x² + x + 6 ← collect like terms

= x² - 10x + 2 ← this is a quadratic with 3 terms, thus trinomial → A

5 0

4 years ago

Read 2 more answers

24 , Factor: x²-9 A (x + 3XX-3) B (x+3)2 с (x-3) (x+3)(x+3)

Katarina [22]

Answer:

(x-3)(x+3)

Step-by-step explanation:

We are given the expression $\displaystyle \large{x^2-9}$ :—

To factor this expression, we have a formula for it which is difference of two squares:—

$\displaystyle \large{a^2-b^2=(a+b)(a-b)}$

You can also swap from $\displaystyle \large{(a+b)(a-b)}$ to $\displaystyle \large{(a-b)(a+b)}$ via multiplication property.

From the expression, factor using the formula above:—

$\displaystyle \large{x^2-9=(x^2)-(3)^2}\\\displaystyle \large{x^2-9=(x-3)(x+3)}$

Therefore, the factored expression is:—

$\displaystyle \large{\boxed{(x-3)(x+3)}}$

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If you have any questions regarding the problem or need clarification of my answer/explanation, do not hesitate to ask in comment!

5 0

2 years ago

Which graph shows the function 4y - x= 0?

Otrada [13]

Answer:

y=x/4

Step-by-step explanation:

add x to the other side of your equation so: 4y = x

now divide both sides by 4 so your y is isolated: y=x/4

6 0

3 years ago

to shift the graph of an equation some numbers of units to the ___, you add that number to each graph

solmaris [256]

Answer:

Step-by-step explanation:

Given

y = f(x), then

y = f(x ± a) is a horizontal translation of a units

• If f(x + a) then shift of a units left ←

• If f(x - a) then shift of a units right →

3 0

3 years ago

Read 2 more answers

Find the surface area of the figure.

guajiro [1.7K]

Given:

Given that the radius of the cylinder is 6 m.

The height of the cylinder is 7 m.

We need to determine the surface area of the cylinder.

Surface area of the cylinder:

The surface area of the cylinder can be determined using the formula,

$SA=2 \pi r(r+h)$

where r is the radius and h is the height of the cylinder.

Substituting r = 6 and h = 7 in the above formula, we get;

$SA=2 (3.14)(6)(6+7)$

Simplifying, we get;

$SA=2 (3.14)(6)(13)$

Multiplying, we get;

$SA=489.84 \ m^2$

Thus, the surface area of the cylinder is 489.84 square meters.

Hence, Option a is the correct answer.

4 0

4 years ago