1. Use the figure below to answer the questions. Give the coordinates for the original points and the points after the given transformation is performed on the original coordinate.
1. Use the figure below to answer the questions. Give - 1

Answers

Answer 1
Answer:

Answer:

G'(-4, -3)

G'(3, 4)

G'(-8, 6)

Step-by-step explanation:

Coordinates of the original point G on the graph → (-4, 3)

When the point G is reflected over the x-axis,

Rule to be followed fro the reflection,

(x, y) → (x, -y)

By this rule image of the point G will be,

G(-4, 3) → G'(-4, -3)

Rule for the rotation by 90° clockwise,

(x, y) → (y, -x)

G(-4, 3) → G'(3, 4)

Rule for the translation of 4 units left and 3 units up,

(x, y) → [(x - 4), (y + 3)]

G(-4, 3) → [(-4 - 4), (3 + 3)]

            → (-8, 6)


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a cylinder has a diameter of 8 cm and a height of 6 cm. what is the volume of the cylinder? use 3.14 for pi, and round your answer to the nearest hundredth. 75.36 cm3 150.72 cm3 301.44 cm3 1,205.76 cm3

Answers

The volume of the cylinder is 301.44 cm³. We use the radius that is half of diameter length in the formula for the volume of a cylinder.

What is the volume of a cylinder?

The formula for the volume of a cylinder is

V = πr²h

Where

  • V = volume
  • r = radius of cylinder
  • h = height of cylinder

A cylinder has

  • Diameter, d = 8 cm
  • Height, h = 6 cm

Using π = 3.14, find the volume of the cylinder!

We find the radius of the cylinder.

r = ½d

r = ½(8) cm

r = 4 cm

The volume of the cylinder would be

V = πr²h

V = (3.14)(4)²(6)

V = 18.84 (16)

V = 301.44 cm³

Hence, the volume of a cylinder with the diameter of 8 cm and height of 6 cm is 301.44 cm³.

The correct option is (c).

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Answer:

301.44

Step-by-step explanation:

v=3.14 times radius squared times height

Diameter is the radius times 2

8 the diameter divided by 2 is 4

replace those

v=(3.14)4^2(6)

final answer is 301.44

How many prime numbers are there between 56 and 100?

Answers

9.

They are: 59, 61, 67, 71, 73, 79, 83, 89 & 97.

there are nine prime numbers between 56 and hundred

A spinner and 4 cards are shown below: A spinner with 5 equal sectors is shown in the figure. The colors Green, Blue, Purple, Yellow, and Red are marked on it. The arrow points at the purple color. Four cards are shown on the right side. The colors Red, Yellow, Blue, and Pink are marked on them. Jane spins the spinner and selects a card without looking. What is the probability that the spinner stops at purple and a pink card is selected?

Answers

The probability that the spinner stops at purple and a pink card is selected is 80%.

We have given that,a spinner with 5 equal sectors is shown in the figure.

What is the formula probability?

P=(number of feverable outcome )/(Total number of outcome )

The spinner has a 1/5 chance of landing on purple, since the number of favorable outcomes is the numerator, and the number of possible outcomes is the denominator.

There are total  four cards, which means we have a 1/4 chance of picking pink,

for the samereason as above.

Therefore 1/5 x 1/4 = 4/5

4/5 =0.80= 80% chance.

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Leena consumes 400 calories at breakfast and 350 calories at lunch. She consumes of her daily calories at dinner. If x represents the calories consumed at dinner, which statements describe the situation? Check all that apply.a. Leena consumed 1,500 calories at dinner.
b. The equation 2/3(x + 400 + 350) = x can be used to model the situation.
c. Leena consumed 500 calories at dinner.
d. The equation 2/3(x) = x(400 + 300) can be used to model the situation.
e. Leena consumed 1,000 calories at dinner.
f. The equation 2/3x(400 + 300) = x can be used to model the situation.

Answers

Only Option 'A' and 'B' are correct.

a) Leena consumed 1,500 calories at dinner.

b)  The equation 2/3(x + 400 + 350) = x can be used to model the situation.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Since, we have given that

Number of calories she consumed at breakfast = 400

Number of calories she consumed at lunch = 350

Now, Let number of calories she consumed at dinner be x

According to question,

She consumes 2/3 of her daily calories at dinner,

So, it becomes,

1/3 x total = 400 + 350

total = 2250

so, Number of calories she consumed at dinner is given by

2/3 of total = x

2/3 x 2250 = x

x = 1500

And by option 'B' we get,

2/3 (x + 400 + 350) = x

2 (x + 750) = 3x

2x + 1500 = 3x

x = 1500

So, only Option 'A' and 'B' are correct.

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Answer:

the answers are A and B

Step-by-step explanation:

hope i helped


Factor completely 5a2 + b.
Prime
a(5a + b)
b(5a2)
ab(5a + 1)

Answers

\sf {5a^2+b~is~\boxed{\bf{prime}}}

It is prime because it has no common factors in 5a^2 and b.

The answer is A.

Answer:

Option A: Prime

Step-by-step explanation:

Select all the equations that are equivalent to this equation.1/4 (8x + 56) = 20

1; 56 + 8x = 80
2; 14 = 20 – 8x
3; 2x + 14 = 5
4: 2x = 6
5: x = 3

Answers

The equations equivalent to 1/4 (8x + 56) = 20 are

1. 56 + 8x = 80

2.14 = 20 - 8x

4.2x = 6

5. x = 3

What is an equation?

An equation is a mathematical expression that shows the relationship between two variables.

Since we have the equation 1/4(8x + 56) = 20, and we want to find all the equations that are equivalent to it, we solve the equation.

So, we proceed as follows.

1/4(8x + 56) = 20

Expanding the brackets, we have

8x/4 + 56/4 = 20

2x + 14 = 20

Subtracting 14 from both sides, we have that

2x = 20 - 14

2x = 6

x = 6/2

x = 3

Also, in 1/4(8x + 56) = 20

Multiplying through by 4, we have that

8x + 56 = 80

2x + 14 = 20

Subtracting 2x from both sides, we have that

14 = 20 - 2x

So, the equations are

1. 56 + 8x = 80

2.14 = 20 - 8x

4.2x = 6

5. x = 3

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