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3 years ago

Describe the translation below using words and then write a rule for it.

Mathematics

1 answer:

Triss [41]3 years ago

7 0

The transformation of the figure is a translation. The original figure moves over 2 squares, then down once. The rule would be (x-2, y-1)

I’m pretty sure the answer is correct but my wording may not be so good :|

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Four times the greater of two consecutive integers is 18 more than three times the lesser integer. What are the integers?

maw [93]

This is how I would solve it:

1st # = x 4(x+1)=3x+18
2nd # = x+1 4x+4=3x+18
4x=3x+14
x=14

To check: 15x4=60; 60-42=18. <u>1st # = 14; 2nd # = 15.</u>

5 0

3 years ago

If x2 - y2 = 12 and x - y = 4, what is the value

ira [324]

Step-by-step explanation:

x²-y²=12

(x-y)(x+y)=12

but x-y=4

4(x+y)=12

x+y=12/4

x+y=3

lets make x the subject of the formula

x=3-y

since x-y=4

(3-y)-y=4

3-y-y=4

-2y=1

y=-1/2

then x=3-y

x=3-(-1/2)

x=(6--1)/2

x=7/2

therefore; x²+2xy+y

=(7/2)²+2×7/2×-1/2+(-1/2)

=49/4-7/2-1/2

=(49-14-2)/4

=33/4

=8.25

6 0

3 years ago

What is the midpoint and distance between points P(3,5) and Q(7,5)

storchak [24]

The formula of a midpoint:

$M\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)$

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have the points P(3, 5) and Q(7, 5). Substitute:

$x=\dfrac{3+7}{2}=\dfrac{10}{2}=5\\\\y=\dfrac{5+5}{2}=\dfrac{10}{2}=5$

$d=\sqrt{(5-5)^2+(7-3)^2}=\sqrt{0^2+4^2}=\sqrt{4^2}=4$

<h3>Answer:</h3><h3>Midpoint = (5, 5)</h3><h3>Distance = 4</h3>

4 0

3 years ago

If a=58, then What is 59÷a?

algol [13]

To solve this problem we would plug 58 into the equation for a
Making the equation 59÷58

59÷58=1.0172413793103
Or
1.02

6 0

3 years ago

A jar contains 0.25 liter of apple juice and 0.30 liter of grape juice. Melissa poured 0.75 liter of pineapple juice into the ja

Lynna [10]

Answer: Part A: 1.10 liter

Total amount of juice left = 0.25 + 0.30 + 0.75 - 0.20

Step-by-step explanation:

(original amount of juice + added juice) - juice that was drank = juice left in the jar

(0.25 + 0.30 + 0.75) - 0.20 =

1.30 - 0.20 =

1.10 left in jar

4 0

2 years ago