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Andre45 [30]
3 years ago
10

Question 1:

Mathematics
2 answers:
Contact [7]3 years ago
7 0

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

AnnyKZ [126]3 years ago
5 0

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.

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Answer:

<h2>Kelly is wrong, with this congruent parts, we can conclude that triangles are congruent.</h2>

Step-by-step explanation:

To demonstrate congruent triangles, we need to use the proper postulates. There are at least 5 postulates we can use.

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Answer:

The value of a = 5.

the value of b = 6.

Step-by-step explanation:

Given the points on the line

  • (6, 10)
  • (a, 8)
  • (4, b)
  • (2, 2)

Given that all of the points are on the same line and the line represents a linear function.

Thus, the slope between any two points must be the same.

First, determine the slope between (6, 10) and (2, 2)

(x₁, y₁) = (6, 10)

(x₂, y₂) = (2, 2)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [2 - 10] / [2 - 6]

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Thus, the slope of the line = m = 2

Determine the value 'a'

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(x₂, y₂) = (a, 8)

Using the slope formula to determine the value of 'a'

Slope =  [y₂ - y₁] /  [x₂ - x₁]

As the slope between two points is 2.

now substitute slope = 2, (x₁, y₁) = (6, 10) and (x₂, y₂) = (a, 8) in the slope formula

Slope =  [y₂ - y₁] /  [x₂ - x₁]

2 = [8 - 10] / [a - 6]

2(a - 6) = 8 - 10

2a - 12 = -2

2a = -2 + 12

2a = 10

divide both sides by 2

a = 5

Therefore, the value of a = 5.

Determine the value 'b'

(x₁, y₁) = (2, 2)

(x₂, y₂) = (4, b)

Using the slope formula to determine the value of 'b'

Slope =  [y₂ - y₁] /  [x₂ - x₁]

As the slope between two points is 2.

now substitute slope = 2, (x₁, y₁) = (2, 2) and (x₂, y₂) = (4, b) in the slope formula

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2 = [b - 2] / [4 - 2]

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Therefore, the value of b = 6

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