MATHEMATICS HIGH SCHOOL

Which expressions are equivalent to 4(4a+5) ?Choose 3 answers: (Choice A) 16a+5 (Choice B,) 16a+20 (Choice C) 12a+20+4a (Choice D,) 2(8a+10) (Choice E) 16a+5+4

Answers

Answer 1
Answer:

Answer:The correct answer is B

Step-by-step explanation:4(4a + 5)

Use the distributive property

(4)(4a) + (4)(5)

16a + 20

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For the missing term in the geometric sequence, Find the possiblefor the missing term in the geometric sequence, Find the possible values.4, ?, 1/36 

Answers

Use property of geometric sequence:

4,x,(1)/(36)\n \n (x)/(4)=((1)/(36))/(x)\n \n x^2=4.(1)/(36)\n \n x^2=(1)/(9)\n \n x=\pm (1)/(9)\n \n \boxed{x=\pm (1)/(3)}

A game has a rectangular board with an area of 44 in2. There is a square hole near the top of the game board in which you must not toss in a bean bag. The square has side lengths of 3 in. What is the probability of not tossing the bag through the hole?A)9/44
B)3/9
C)3/44
D)35/44

Answers

A. 9/44 idk if it is the right anwser but good
Luck

prove algebraically that the straight line with the equation x=2y+5 is a tangent of the circle with the equation x^2+y^2=5

Answers

Answer:

Step-by-step explanation:

To prove the straight line is tangent to the circle:

  1. substitute the straight line into the circle equation
  2. discriminant of the new equation has to be equals to 0

(1)

substitute x = 2y + 5 into x² + y² = 5

x² + y² = 5

(2y + 5)² + y² = 5

4y² + 20y + 25 + y² = 5

5y² + 20y + 20 = 0

y² + 4y + 4 = 0

(2)

discriminant of y² + 4y + 4 = 0 has to be equals to 0

\boxed{D=b^2-4ac}

D = 4² - 4(1)(4)

D = 0

∴ Proven

2 1/3 divided by 3/4

Answers

Answer:

28/9

Step-by-step explanation:

  • (7)/(3) / (3)/(4) \n \n (7)/(3) * (4)/(3) = (28)/(9)

Answer:

3 1/9

Step-by-step explanation:

2 1/3 divided by 3/4

= 7/3 divided by 3/4

= 7/3 x 4/3

= 7 x 4 over 3 x 3

= 28 over 3 x 3

= 28/9

= 3 1/9

The inequality graphed below represents the ages, a, of players on a baseball team.Which inequality represents the same ages? IMAGE OF BELOW VVV

Answers

we know that

the graphed below represent the inequality

 ages less than 18 and ages greater than or equal to 12

the inequality is

12 \leq a < 18

the solution is the interval---------> [12,18)

therefore

the answer is

12 \leq a < 18
12 < = x < 18 <=== ur inequality

How many faces does a right rectangular prism have if it has 8 vertices and 12 edges

Answers

The answer you are looking for is 6 faces 
hope that helps!!
It has 6 faces, it is also known as a cuboid.
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