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Kobotan [32]
2 years ago
6

Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle translates 2 units up and 1 unit right. Which rule repres

ents the translation? After the translation, what are the coordinates of vertex A'? Q: A: A) (x, y) → ( x + 1, y + 2); (−2, 6) B) (x, y) → ( x + 2, y + 1); (−1, 5) C) (x, y) → (x − 1, y + 2); (−4, 6) D) (x, y) → (x − 2, y − 1); A(−7, 3)
Mathematics
1 answer:
asambeis [7]2 years ago
6 0

Answer:

a(-2.6) b(5, 0) c(9,5)

Step-by-step explanation:

the rule is x+1 y+2 for each of the vertices

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4 Consider the triangle below.
Maurinko [17]
<h2>=>> <u>Solution (part A</u>) :</h2>

Given :

▪︎Triangle AMG is an isosceles triangle.

▪︎Measure of segment AM = (x+1.4) inches

▪︎Measure of segment MG = (2x+0.1) inches

▪︎Measure of segment AG = (3x-0.4) inches

▪︎segment AG is the base of triangle AMG.

Since AG is the base of the isosceles triangle AMG, segment AM and segment MG will be equal.

Which means :

= \tt x + 1.4 = 2x + 0.1

= \tt x + 1.4 - 0.1 = 2x

=  \tt \: x + 1.3 = 2x

= \tt 1.3 = 2x - x

\color{plum} \hookrightarrow  \tt x = 1.3

Thus, the value of x = 1.3

Therefore :

▪︎The value of x = 1.3

<h2>=>> <u>Solution (Part B)</u> :</h2>

We know that :

▪︎The value of x = 1.3

Which means :

The length of the leg AM :

= \tt x + 1.4

= \tt 1.3 + 1.4

\color{plum} \tt leg \: AM= 2.7 \: inches

Thus, the length of the leg AM = 2.7 inches

The length of leg MG :

= \tt 2x + 0.1

=  \tt2 \times 1.3 + 0.1

= \tt 2.6 + 0.1

\color{plum} \tt\: leg \:MG = 2.7 \: inches

Thus, the length of the leg MG = 2.7 inches

Since the measure of the two legs are equal (2.7=2.7), we can conclude that we have found out the correct length of each leg.

Therefore :

▪︎Measure of leg AM = 2.7 inches

▪︎Measure of leg MG = 2.7 inches

<h2>=>> <u>Solution </u><u>(</u><u>part C</u><u>)</u> :</h2>

We know that :

Value of x = 1.3

Then, measure of the base AG :

=  \tt 3x - 0.4

= \tt 3 \times 1.3 - 0.4

= \tt 3.9 - 0.4

\color{plum}\tt \: Base  \: AG = 3.5 \:  inches

Thus, the measure of the base = 3.5 inches

Therefore :

▪︎ the length of base AG = 3.5 inches.

6 0
3 years ago
I’m so confused so can you help me
Lelu [443]
45²

This says "forty five squared"

Try saying it aloud, it may help to hear it :)

This basically just means to multiply 45 by itself twice.

So, what's 45 times 45? 

Its 2025!

Hope I helped! :)
6 0
4 years ago
Read 2 more answers
What is the difference 1/9 - 5/6 a 13/18 b 1/18 c - 1/18 d -13/18
Murrr4er [49]
1/9 - 5/6

Convert both of them into denominators of 18.

2/18 - 15/18

Subtract the numerators and keep the denominator:

-13/18
3 0
3 years ago
true or false Microwave ovens cause friction between water molecules, which then generates chemical energy to cook your food.
den301095 [7]
That is true that microwave ovens cause friction to water molecules
8 0
3 years ago
Anthony has two cube-shaped pots with an interior edge length of 8 inches and two cube-shaped pots with an interior edge length
weqwewe [10]

He will have left 154.75 inches³ after he fills each pot full of soil

Step-by-step explanation:

The formula of the volume of a cube is V = s³, where s is the length of its side.

Remember:

  • 1 foot 12 inches
  • 1 foot² = (12)² inches² = 144 inches²
  • 1 foot³ = (12)³ inches³ = 1728 inches³

∵ Anthony has two cube-shaped pots with an interior edge

  length of 8 inches

∴ s = 8

- use the formula of the volume

∴ The volume of each pot = (8)³ = 512 inches³

∴ The volume of the two pots = 512 × 2 = 1024 inches³

∵ He has another two cube-shaped pots with an interior edge

  length of 6.5 inches

∴ s = 6.5

∴ The volume of each pot = (6.5)³ = 274.625 inches³

∴ The volume of the two pots = 274.625 × 2 = 549.25 inches³

∵ He wants to fill each pot full of potting soil

- The volume of soil he uses to fill the 4 pots is equal the volume

  of the four pots

∵ The total volume of pots = 1024 + 549.25 = 1573.25 inches³

∴ The total soil he uses = 1573.25 inches³

∵ His bag of potting soil is one cubic foot

∵ 1 cubic feet = 1728 cubic inches

- To find the quantity of soil he not used subtract the total volume

    of the 4 pots from the volume of the soil in his bag

∴ The soil he will left = 1728 - 1573.25 = 154.75 inches³

He will have left 154.75 inches³ after he fills each pot full of soil

Learn more:

You can learn more about the word problems in brainly.com/question/10557938

#LearnwithBrainly

6 0
3 years ago
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