Question

Question 1:

Answer 1

Answer and Explanation:

1) Given : The function h is defined by $h(y)=2y-7$.

To find : The value of h(8)?

Solution :

$h(y)=2y-7$

Put y=8,

$h(8)=2(8)-7$

$h(8)=16-7$

$h(8)=9$

So, Option C is correct.

2) Given : Equation $\frac{7}{8}=\frac{m}{32}$

To find : What is the solution to the equation?

Solution :

$\frac{7}{8}=\frac{m}{32}$

Cross multiply,

$7\times 32=m\times 8$

$224=8m$

$m=\frac{224}{8}$

$m=28$

So, Option C is correct.

3) Given : Letter 'E'

To find : Which statement is true?

Solution :

Letter 'E' has a horizontal symmetry i.e. the bottom of the letters is a reflection of the top.

i.e. the 'E' has reflection symmetry but no rotational symmetry.

So, Option B is correct.

The letter 'E' has reflection symmetry only.

4) Given : Letter 'Z'

To find : Which statement is true?

Solution :

Letter 'Z' rotated by 180° about particular axis, they remain same.

i.e. the 'Z' has rotational symmetry but not reflection symmetry.

So, Option B is correct.

The letter 'Z' has rotational symmetry only.

5) Given : Letter 'X'

To find : Which statement is true?

Solution :

Letter 'X' has a horizontal symmetry i.e. the bottom of the letters is a reflection of the top.

Letter 'X' has a vertical symmetry i.e. the right side is a reflection of the left.

Letter 'X' rotated by 180° about particular axis, they remain same.

i.e. the 'X' has reflection symmetry and rotational symmetry both.

So, Option A is correct.

The letter 'X' has both reflection and rotation symmetry

Answer 2

Answer(1):

Given that h(y)=2y-7.

h(8) means  plug y=8 into h(y)=2y-7.

h(8)=2*8-7=16-7=9

Hence C) 9 is the final answer.

Answer 2:

(7/8) = (m/32)

to solve for m, we begin by cross multiply

8m=7*32

8m=224

m=28

Hence choice C) 28 is final answer.

Reflection symmetry occurs when a line is drawn to divide a shape in halves so that each half is a reflection of the other.

Rotational symmetry is to check if the given picture is symmetric after some rotation.

Answer 3:

Letter "E" will have

B) the letter has reflection symmetry only

So B) is correct.

Answer 4:

Which statement is true?

Letter "Z" will have

B) the letter has rotation symmetry only

Hence B) is correct.

Answer 5:

Letter "X" will have

A) the letter has both reflection and rotation symmetry

Hence A) is correct.