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3 years ago

Please help worth 100 pts

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

8 0

Answer:

the first one is x=20. the second one is x=31.33 cm.

Step-by-step explanation:

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Write as an expression and simplify

Alexus [3.1K]

Answer:

Part a) $(2m+7n)(2m-7n)$

Part b) $x^2-16xy+64y^2$

Part c) $216a^3b^6$

Part d) $(a^2-b^2)$

Step-by-step explanation:

Part a) The difference of the squares of 2m and 7n.

we know that

The difference of the squares formula is equal to

$(a^2-b^2)=(a+b)(a-b)$

substitute

$(2m)^2-(7n)^2=(2m+7n)(2m-7n)$

Part b) The square of the difference of x and 8y

The formula of the square of the difference between two numbers is equal to

$(a-b)^2=a^2-2ab+b^2$

substitute

$(x-8y)^2=x^2-2(x)(8y)+(8y)^2=x^2-16xy+64y^2$

Part c) The tripled product of 6a and b^2

we have

$(6ab^{2})(6ab^{2})(6ab^{2})=(6ab^{2})^3=(6^3)(a^3)(b^{2})^3=216a^3b^6$

Part d) The product of the sum of a and b and their difference

The expression is equal to

$(a+b)(a-b)$

The expression represent the difference of the squares between a and b

$(a+b)(a-b)=(a^2-b^2)$

7 0

3 years ago

If the area of the triangle (the shaded portion below) within the pentadecagon is 10 units, what is the area

GaryK [48]

Answer:

150

Step-by-step explanation:

8 0

4 years ago

Which statements about the relationship between the two angles below are true? Check all that apply ZC=LT

Ne4ueva [31]

Answer:

The last one, angle D equals to angle T

Step-by-step explanation:

Using the theorem of the triangle we know that the total number measure of the angles is 180 degrees. Therefore, solving the second triangle will give us that the angle T is equal to 60.

This is equal to angle D.

Hope this helps.

6 0

3 years ago

Find the product of 20x9x5

Anestetic [448]

20 times 9 times 5 equals 900

5 0

3 years ago

Read 2 more answers

Four less than the square of a number is 0

marusya05 [52]

Answer:

± 2

Step-by-step explanation:

let the number be n , then

n² - 4 = 0 ( add 4 to both sides )

n² = 4 ( take square root of both sides )

n = ± $\sqrt{4}$ = ± 2

The number is - 2 or 2

5 0

3 years ago

Read 2 more answers