MATHEMATICS HIGH SCHOOL

Given the similarity statement ΔDEF ∼ ΔXYZ, which side corresponds with ED? A. EF
B. ZY
C. XZ
D. YX

Answers

Answer 1
Answer:

YX is corresponding with ED

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Which is 23,578,000 written in scientific
notation?

Answers

Answer:

23,578,000 = 2.3578 * {10}^(7) \n

Simplify each sum or difference. State any restrictions on the variables.19) (-3x)/(x^2 - 9) + 4/(2x-6)

Answers

Simplify 4
           2x-6


1.1     Pull out like factors :

  2x - 6 =  2 • (x - 3)


-3x Simplify ——3 over x2 -9———— x2 - 9
(-3x)/(x^2 - 9) + 4/(2x-6) = (-3x)/[(x-3)(x+3)] + 4/[2(x-3)] =  (-3x)/[(x-3)(x+3)] + 2/(x-3) = 
(-3x + 2x + 6)/[(x-3)(x+3)] = (-x+6)/[(x-3)(x+3)];

For questions 1-7, use the following functions to answer the questions: f(x)x^2+5x g(x)=3x-4/2

Answers

Answer:

f(4) = (4)² + 5(4) = 36.

g(9) = [3(9) - 4]/2 = 23/2.

f(-3) = (-3)² + 5(-3) = -6.

g(-6) = [3(-6) - 4]/2 = -11.

Set f(x) = 14.

=> x² + 5x = 14

=> x² + 5x - 14 = 0

=> (x + 7)(x - 2) = 0

=> x = -7 or x = 2.

Set g(x) = -28.

=> (3x - 4)/2 = -28

=> 3x - 4 = -56

=> 3x = -52

=> x = -52/3.

Answer:

36

11.5

6

-11

-2, 7

-17.333 / - 17⅓

Step-by-step explanation:

f(4) = 4² + 5(4) = 16+20 = 36

g(9) = 3(9)-4 ÷ 2 = 23÷2 = 11.5

f(-3) = (-3)²+5(-3) = 9 - 15 = 6

g(-6) = 3(-6)-4 ÷ 2 = - 22 ÷ 2 = - 11

f(x) = 14

x² - 5x = 14

x² - 5x - 14 = 0

(x+2) (x-7) = 0

x = - 2 or x = 7

g(x) = -28

(3x - 4)/(2) = - 28

3x - 4 = - 56

3x = - 52

x = - 52/3 = - 17 ⅓

What is 12 percent of 120?

Answers

12% of 120 is 14.4

Change the percentage into a decimal by dividing over 100:

12 / 100 = 0.12

Multiply:

0.12 × 120 = 14.4

Answer:

12\% \: of \: 120 \n (12)/(100) * 120 \n (1440)/(100) \n \boxed{14.4}

Which of the following does not have a sum of 6?2 + 4
8 + (-2)
-4 + (-2)
-2 + 8

Answers

2 + 4 = 6

8 + (-2) = 6

-4 + (-2) = -6

-2 + 8 = 6

Since the third option equals -6, the answer would be: -4 + (-2).

It was 7 degrees below zero in the morning. By afternoon the temperature rose 15 degrees. How warm was it?

Answers

Answer:

8 degrees

Step-by-step explanation:

The temperature was -7 and then rose by 15, -7 +15 = 8
8 degrees

(-7) + 15 = 8
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