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8_murik_8 [283]
3 years ago
15

Point A' (2, 3) is the image of A(3,-4) under a translation.

Mathematics
1 answer:
marin [14]3 years ago
4 0

Answer:

Translation of 1 unit left and 7 units up.

Solution:

A (3, -4) ~ A’ (2, 3)

Translation = 1 unit left and 7 units up.

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The lowest temperature on May 15 is 2 thirds as warm as the warmest temperature on May 15. The lowest temperature on May 15 is 6
marin [14]
40 degrees because you do 60 times two thirds
8 0
2 years ago
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The sum of the first three terms of a sequence is 6 and the fourth term is 16
Sati [7]

Answer:

              a₁ = -5, d = 7,  a₂ = 2, a₃ = 9, a₄ = 16

equation of sequence:    \boxed{\bold{a_n=7n-12}}

Step-by-step explanation:

a₁ + a₂ + a₃ = 6    

a₁ + a₁ + d + a₁ + 2d = 6

3a₁ + 3d = 6

a₁ + d= 2     ⇒ a₁ = 2 - d

a₄ = 16

a₁ + 3d = 16

2 - r + 3d = 16

2d = 14

d = 7

a₁ = 2-7 = -5

a₁ = -5, d = 7   ⇒  a₂ = -5+7 = 2, a₃ = 2+7 = 9, a₄ = 9+7 = 16

equation of arithmetic sequence:

a_n=a_1+d(n-1)\\\\a_n=-5+7(n-1)\\\\\underline{a_n=7n-12}

6 0
2 years ago
Write the equation for the line that goes through point (1, 1) with slope m = -9
DENIUS [597]

1) Since we have the slope, and one point we can find that linear equation using this point-slope formula. Plugging them we have:

\begin{gathered} (y-y_0)=m(x-x_0) \\ y-1=-9(x-1) \\ y-1=-9x+9 \\ y=-9x+9+1 \\ y=-9x+10 \end{gathered}

2) Note that we had to add 1 to both sides, to keep the "y "on the left.

3) Therefore, y=-9x+10 is the answer.

7 0
1 year ago
110 is 60% of what number?
Zigmanuir [339]

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Step-by-step explanation:

We have, 60% × x = 110

or,

60

100

× x = 110

Multiplying both sides by 100 and dividing both sides by 60,

we have x = 110 ×

100

60

x = 183.33

If you are using a calculator, simply enter 110×100÷60, which will give you the answer.

3 0
2 years ago
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Four different beverages are sold at a​ fast-food restaurant: soft​ drinks, tea,​ coffee, and bottled water. Explain why the typ
suter [353]

Answer:  The values of the variable can only be placed into categories.

Step-by-step explanation:

Type list of beverage sold is a categorical variable because the values of the variable can only be placed into categories.

A categorical variable, also referred to as nominal variable. is a variable which consist of two or more categories, this usually does not involve special ordering of the categories.

8 0
3 years ago
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