MATHEMATICS HIGH SCHOOL

What is the length of AC?
A.72
B.96
C.136
D.132
What is the length of AC? A.72 B.96 C.136 D.132 - 1

Answers

Answer 1
Answer:

Answer:

The answer is 136 .

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If three times a number minus 2 equals 13, what is the number?

Find the product of 2x4(4x2 + 3x + 1). 8x6 + 6x5 + 2x4

8x8 + 3x4 + 2x4

2x4 + 6x5 + 8x6

6x6 + 5x5 + 3x4

Answers

Answer:

The product of the 2x^(4)(4x^(2)+3x+1) is 8x^(6)+6x^(5)+2x^(4) .

Step-by-step explanation:

As given the expression in the question be

= 2x^(4)(4x^(2)+3x+1)

First open the bracket

= 2x^(4)* 4x^(2)+2x^(4)* 3x+2x^(4)* 1

Now by using the property

x^(a)* x^(b)=x^(a+b)

= 8x^(6)+6x^(5)+2x^(4)

Therefore the product of the 2x^(4)(4x^(2)+3x+1) is 8x^(6)+6x^(5)+2x^(4) .
2x^4(4x^2 + 3x + 1)=\n\n(2x^4)(4x^2)+(2x^4)(3x)+(2x^4)(1)=\n\n8x^6 + 6x^5+2x^4

The answer is A.

Expand and simplify
4a^2(b^2-c)+2ab(ab-c)-ac(a+2b)

Answers

4a^2(b^2-c)+2ab(ab-c)-ac(a+2b)\n-----------------------\nuse\ distributive\ property:a(b-c)=ab+ac\n-----------------------\n=4a^2b^2-4a^2c+2a^2b^2-2abc-a^2c-2abc\n=(4a^2b^2+2a^2b^2)+(-4a^2c-a^2c)+(-2abc-2abc)\n\n=\boxed{6a^2b^2-5a^2c-4abc}
4a²(b² - c) + 2ab(ab - c) - ac(a + 2b)
4a²(b²) - 4a²(c) + 2ab(ab) - 2ab(c) - ac(a) - ac(2b)
4a²b² - 4a²c + 2a²b² - 2abc - a²c - 2abc
4a²b² + 2a²b² - 4a²c - a²c - 2abc - 2abc
6a²b² - 5a²c - 4abc

Multiple Response: Please select all correct answers and click "submitWhich expressions are equivalent to the one below? Check all that applyA- 125.5B- 53 xC. 253x

Answers

The correct answers are A and B.

Polygon ABCDE is dilated by a scale factor of 3 with the center of dilation at the origin to create polygon A'B'C'D'E'. If the endpoints of BC are B(3, 5) and C(5, 10), what is the slope of B'C'?

Answers

Answer;

slope = 5/2

Solution and Explanation;

-Polygon which is dilated by a scale factor of 3.

The endpoints of BC are B (3,5) and C (5,10) .

The image of B and C under the dilation will be;

B' = 3 (3,5) = (9,15)

C' = 3(5,10) = (15, 30)

The slope is given by change in y divided by change in x

slope = (30-15)/(15-9)

= 15/6

= 5/2
The question or problem ask to calculate the slope of the said dilated polygon which it was dilated by a scale factor of 3. In my own calculation the slope of the BC is 5/2 or -5/-2 and the dilated polygon has a the same slope of the original polygon. I hope this would help 

Does anyone understand how to do this? Calculus AB

Answers

Hello,

In A
since
f'(x)=(f(x+h)-f(x))/h
f''(x=(f'(x+h)-f(x))/h

A solid metal sphere of radius 32cm is melted down and recast to make 64 identical small spheres.what will be the radius of each small sphere?

Answers

V_1=(4)/(3)\pi R^3\n\nR=32cm\n\nV_1=(4)/(3)\pi\cdot32^3=(131072)/(3)\pi\ (cm^3)\n\nV_2=V_1:64\n\nV_2=(131072)/(64)\pi:64=(131072)/(3)\pi\cdot(1)/(64)=(2048)/(3)\pi\ (cm^3)\n\nr=?\n\nV_2=(4)/(3)\pi r^3

(4)/(3)\pi r^3=(2048)/(3)\pi\ \ \ /:\pi\n\n(4)/(3)r^3=(2048)/(3)\ \ \ /\cdot(3)/(4)\n\nr^3=512\n\nr=\sqrt[3]{512}\n\nr=8\ (cm)\leftarrow answer
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