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3 years ago

Translate the figure 5 units up. Then decide if each statement about translated figures is true or false,

Mathematics

1 answer:

m_a_m_a [10]3 years ago

5 0

Answer:

First, second, and third are true.

Fourth is false.

Step-by-step explanation:

1. When we're translating a figure, everything about the figure stays the same except its location on the coordinate plane. The side lengths, the angle measures, and parallel sides will not change.

2. The fourth one is false because two figures/objects are congruent if they have the same shape and size. Since translation only affects the location on a coordinate plane, the original and final figure are congruent.

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When the function f(x) = 3(5)x is changed to f(x) = 3(5)x + 22, what is the effect? (4 points) There will be no change to the gr

Dima020 [189]

Answer:

the y-intercept is 22 spaces higher.

Step-by-step explanation:

I don't know, what special operations you want to express with 3(5)x.

as it is written this simply means

3×5×x

no exponents or other special things are visible.

but it should not matter.

whatever is the first function is unchanged the first part of the second function.

so, the only difference is the "+ 22" part.

and that simply means that all y values (the functional result values) are increased by 22.

you know that "f(x) =" has the same meaning as "y =".

and with that also the y-intercept (the y value when x = 0, and therefore the point, where the curve intersects the y-axis) is increased by 22 spaces.

4 0

2 years ago

30 points high school geometry question

Phantasy [73]

Answer:

x = 5

Step-by-step explanation:

9/15 = 3/x

x = 5

8 0

4 years ago

Read 2 more answers

Peter is making new cushion covers for a chair. There are three sizes of

Lesechka [4]

Answer:

A 846 square inches

Step-by-step explanation:

Use the net:

Rectangle 1: (21 in + 3 in + 21 in + 3 in) by 15 in.

Rectangle 2: 21 in by 3 in

Rectangle 3: 21 in by 3 in

total area = sum of areas of 3 rectangles above.

total area = (48 in * 15 in) + 2(21 in * 3 in)

total area = 720 in^2 + 126 in^2

total area = 801 in^2

Answer: A 846 square inches

6 0

3 years ago

A family is purchasing a house and needs to finance a $195,000 mortgage from the bank with an annual percentage rate (APR) of 5.

Airida [17]

Answer:

a) payment: $1082.84

b) interest: $194,822.40

Step-by-step explanation:

The monthly payment on the mortgage can be found using the given formula with the given values of principal (P=195000), interest rate (r=0.053), and time period (t=30). The value of n is 12, corresponding to the number of months in a year.

The monthly payment is ...

$k=\left(1+\dfrac{r}{n}\right)^{nt}=\left(1+\dfrac{0.053}{12}\right)^{12\cdot30}\approx 4.88661119\\\\\text{monthly payment}=\dfrac{P\cdot\dfrac{r}{n}\cdot k}{k-1}=\dfrac{195000\cdot0.0044166667\cdot4.88661119}{4.88661119-1}\\\\\boxed{\text{monthly payment}=\$1082.84}$