MATHEMATICS HIGH SCHOOL

The formula for the area A of a trapezoid is A=1/2(b1+b2)h, where b1 and b2 represents the lengths of the bases and h represents the height. Which equation can be used to find the height of a trapezoid?A. h=2A-b1-b2
B. h=2A/b1+b2
C. h=A(b1+b2)/2
D. h=A-2/b1-b2

Answers

Answer 1
Answer: The answer:  [B]:  h = 2A / (b1 + b2) .
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Explanation:

Given:  A = (½) * (b1 + b2) * h ; 
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→Multiply EACH side of the equation by "2", to get rid of the fraction, "½";
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  → 2*A = 2 *  (½) * (b1 + b2) * h ; 

  → 2* A = 1 * (b1 + b2) * h ;
 
  → 2A =  (b1 + b2) * h ; 
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→ Now, divide EACH side of the equation by: "(b1 + b2)" ; to isolate "h" on one side of the equation; 
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  →   2A  / (b1 + b2) =  [(b1 + b2) * h] / (b1 + b2) ;

  →   2A  / (b1 + b2) =  h ; ↔ h = 2A / (b1 + b2) ; which corresponds to:
                                            "Answer choice: [B]" .
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Answer 2
Answer:

Answer:

b

Step-by-step explanation:

h=2a/b1+b2

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What is the solution: 3x + 9 = 2x + 5

Answers

3X+9= 2x+5
-2x. -2x
1x+9 = 5
-9. -9
X=-4

PLEASE HELP!!After losing 3 baseball cards, Peter gave half of his remaining cards to Bobby. If Peter gave Bobby 9 baseball cards, how many cards did Peter start with?

Linear equation:  1 /2 (x - 3) = 9

Bobby claims that Peter started with 21 cards. Which statements are true about verifying Bobby’s claim? Check all that apply.

1. Substitute 21 for x in the original equation.
2. Substitute any number for x in the original equation.
3. Bobby’s claim that x = 21 is correct.
4. The result of verifying Bobby’s work is 9 = 9.
5. The result of verifying Bobby’s work is 21 = 21.

Answers

Hi There!

Answer:

1. Substitute 21 for x in the original equation.

3. Bobby’s claim that x = 21 is correct.

4. The result of verifying Bobby’s work is 9 = 9.

Step-by-step explanation:

Linear Equation: 1/2 (x - 3) = 9

Bobby wants to substitute x for 21.

1/2 (21 - 3) = 9

1/2 (18) = 9

9 = 9

Bobby's claim is correct.

Hope This Helps :)

Answer:

1, 3, 4

Step-by-step explanation:

1. Substitute 21 for x in the original equation.

3. Bobby’s claim that x = 21 is correct.

4. The result of verifying Bobby’s work is 9 = 9.

Can anybody help me with this problem ? (_11^)P_7

Answers

₁₁P₇ = (11!)/((11 - 7)!)
₁₁P₇ = (11!)/(4!)
₁₁P₇ = (11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)/(4 * 3 * 2 * 1)
₁₁P₇ = 11 × 10 × 9 × 8 × 7 × 6 × 5
₁₁P₇ = 110 × 72 × 42 × 5
₁₁P₇ = 7920 × 210
₁₁P₇ = 1,663,200

4x+3y=12 in y=mx+b form

Answers

Answer:

y = -4/3x + 4

Step-by-step explanation:

4x+3y=12

3y = -4x + 12

y = -4/3x + 4

The equation of the line of best fit of a scatter plot is y = 6x − 9. What is the slope of the equation?−6

−9

9

6

Answers

The slope of the equation is 6

Answer:

The answer would be 6.

Step-by-step explanation:

How do I do a question containing powers that are improper fractions?say for example 81 to the power of 3/2. thx

Answers

( 81 )^ ( 3 / 2 ) = ( 3 ^ 4 )^ ( 3 / 2 ) = 3 ^( 4 * 3 / 2 ) = 3 ^ 6 = 729.
81^{\tfrac{3}{2}}=\n(3^4)^{\tfrac{3}{2}}=\n3^{4\cdot\tfrac{3}{2}}=\n3^(2\cdot3)=\n3^6=\n729
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