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jolli1 [7]
2 years ago
10

12. Find the solution to the system of equations by

Mathematics
1 answer:
Marianna [84]2 years ago
5 0
Answer: C) x = 7, y = -1

Step-by-Step Explanation:

=> y = -2x + 13 (Eq. 1)
=> 4x + 8y = 20 (Eq. 2)

Substitute value of ‘y’ from Eq. 1 in 2 :-

4x + 8y = 20
4x + 8(-2x + 13) = 20
4x + -16x + 104 = 20
-12x + 104 = 20
-12x = 20 - 104
-12x = -84
12x = 84
x = 84/12
=> x = 7

Substitute value of ‘x’ in Eq. 1 :-

y = -2x + 13
y = -2(7) + 13
y = -14 + 13
=> y = -1

Therefore, x = 7, y = -1 which can be written in an ordered pair as (7,-1).

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What are the coordinates of T′ for the transformation (T(–3, 1)° D4 )(ΔTUV) of T(–7, –6), U(–8, 3), and V(2, 1)?
Gekata [30.6K]

Answer:

T'=(-31,-23)

Step-by-step explanation:

1. Since this is a Dilation with a scale factor of 4 (D4) let's plot the triangle TUV.

Check the picture 1

2. The Center of Dilation of this transformation is at the center. But the transformation is given by a scale factor of 4 and adding to (-3,1)

So,

T'= 4(-7,-6) +(-3,1)=(-28,-24)+(-3,1) \therefore T'=(-31,-23)\\U'=4(-8,3)+(-3,1)=(-32,12)+(-3,1) \therefore U'=(-35,13)\\V'=4(2,1) +(-3,1)=(8,4)+(-3,1) \therefore V'= (5,5)

3. Back to the graph to visualize this transformation a Dilation, an enlargement and the transformation combined.

3 0
4 years ago
A cylindrical container holding sugar has a height of 15 inches and a diameter of 4 inches. Which of the following is the closes
nadya68 [22]
V=(h)(pi)(r^2)
say pi=3.14
h=15
d/2=r=4/2=2

so
v=(15)(3.14)(2)^2
v=(15)(3.14)(4)
v=(60)(3.14)
v=188.4


so answer is D
6 0
3 years ago
Evaluate the summation of 3 n plus 2, from n equals 1 to 14
Bingel [31]

Answer:

343

Step-by-step explanation:

for 3n+2

5+8+11+14+17+20+23+26+29+32+35+38+41+44 = 343

7 0
4 years ago
70% of what number is 105 using division
-BARSIC- [3]
If you took 70% turned it to a decimal it would be 0.70 and then you divide it by 105 and the answer is 0.0066 repeated.
4 0
3 years ago
Syke Under Shield
Lana71 [14]

Answer:

For Skye - 15.85%

For under shield - 5%

Skye is using its asset more efficiently because its ROA is higher

Step-by-step explanation:

Return on total assets =  Net income / Average total assets

For Skye

$3192 /  [(18,764 + 21,512)/2] = 0.1585 = 15.85%

For under shield

$ 649 / [(10,252 + 15,659)/ 2] = 0.05 = 5%

Skye is using its asset more efficiently because its ROA is higher

6 0
3 years ago
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