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natita [175]
3 years ago
13

Need help with this one, please be sure to show work, thank you!​

Mathematics
1 answer:
Korolek [52]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

the translation (x, y) → (x - 4, y + 7)

means subtract 4 from the x-coordinate and add 7 to the y-coordinate of the original coordinate points

R(0, - 4 ) → R'(0 - 4, - 4 + 7 ) → R'(- 4, 3 )

S(- 2, - 1 ) → S'(- 2 - 4, - 1 + 7 ) → S'(- 6, 6 )

T(- 6, 1 ) → T'(- 6 - 4, 1 + 7 ) → T'(- 10, 8 )


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G(x)=x^4-32x^2+256;x=-4
Sindrei [870]

Answer:4

Step-by-step explanation:

6 0
3 years ago
A family has two cars. the first car has a fuel efficiency of 40 miles per gallon of gas and the second has a fuel efficiency of
Aliun [14]
Let x and y represent the numbers of gallons used by the 40 mpg and 35 mpg cars, respectively.
.. x +y = 40 . . . . . . . . . . .total consumption is 40 gallons
.. 40x +35y = 1525 . . . . total miles driven = 1525

Multiply the first equation by 40 and subtract the second.
.. 40(x +y) -(40x +35y) = 40(40) -(1525)
.. 5y = 75
.. y = 15
.. x = 40 -15 = 25

The 40 mpg car consumed 25 gallons.
The 35 mpg car consumed 15 gallons.
7 0
3 years ago
Given x=2 and y=4, then x*2 y is
Zarrin [17]

Answer:

16 I guess

Step-by-step explanation:

2*2 is 4

Then 4 times 4 is 16.

7 0
3 years ago
Read 2 more answers
A cube has a volume of 512 cubic mm. If all sides of the cube ae divided by 4, what will the resulting volume be?
kotegsom [21]
Volume of a cube = s³ 

Therefore, s³ = 512, meaning that s = 8.

The question asks what the resulting volume would be if all sides of the cube were divided by 4.

The current side measures 8, and we know that 8/4 = 2.

Thus, the resulting volume = s³ = 2³ = 8 cubic mm.
6 0
3 years ago
Help:<br> <img src="https://tex.z-dn.net/?f=1.%5C%20%26x%5E4-61x%5E2%2B900%3D0%20%5C%5C%202.%20%5C%20%26%20x%5E4-25x%5E2%2B144%3
yawa3891 [41]

\bf{1) \  x^4-61x^2+900=0 }

Applying the factorization method, for example:

      \bf{ 0=(x^2)^2-61(x^2)+900=(x^2-36)(x^2-25)}

               \bf{\\ &=(x+6)(x-6)(x+5)(x-5);    }

              \bf{ x_1=6 \quad x_2=-6 \quad \ \ \ x_3=5 \quad x_4=5  }

\bf{2) \  x^4-25x^2+144=0  }

Applying the factorization method:

          \bf{0&=(x^2)^2-25(x^2)+144=(x^2-16)(x^2-9) }

             \bf{ =(x-4)(x+4)(x-3)(x+3); }

            \bf{ x_1=4 \quad x_2=-4 \quad x_3=3 \quad x_4=-3  }

7 0
2 years ago
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