Answer:
D(1, 2) → D'(2, 7)
E(-3, -5) → E'(-10, 0)
F(4, -1) → F'(11, 4)
Step-by-step explanation:
D(1, 2) → D' ________
Translate image (3x - 1, y + 5)
(1, 2), x = 1 and y = 2
3x - 1 = 3(1) - 1 = 3 - 1 = 2
y + 5 = (2) + 5 = 7
E(-3, -5) → E' ________
(-3, -5), x = -3 and y = -5
3x - 1 = 3(-3) - 1 = -9 - 1 = -10
y + 5 = (-5) + 5 = 0
F(4, -1) → F' ________
(4, -1), x = 4 and y = -1
3x - 1 = 3(4) - 1 = 12 - 1 = 11
y + 5 = (-1) + 5 = 4
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![y = \frac{1}{2} \times \frac{8 \sqrt{3} }{3} \\](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%20%20%5Cfrac%7B8%20%5Csqrt%7B3%7D%20%7D%7B3%7D%20%20%5C%5C%20)
![y = \frac{4 \sqrt{3} }{3} \\](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B4%20%5Csqrt%7B3%7D%20%7D%7B3%7D%20%20%5C%5C%20)
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![x = \frac{ \sqrt{3} }{2} \times \frac{8 \sqrt{3} }{3} \\](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B%20%5Csqrt%7B3%7D%20%7D%7B2%7D%20%20%5Ctimes%20%20%5Cfrac%7B8%20%5Csqrt%7B3%7D%20%7D%7B3%7D%20%20%5C%5C%20)
![x = \frac{8 \times { \sqrt{3} }^{2} }{2 \times 3} \\](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B8%20%5Ctimes%20%20%7B%20%5Csqrt%7B3%7D%20%7D%5E%7B2%7D%20%7D%7B2%20%5Ctimes%203%7D%20%20%5C%5C%20%20)
![x = \frac{8 \times 3}{2 \times 3} \\](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B8%20%5Ctimes%203%7D%7B2%20%5Ctimes%203%7D%20%20%5C%5C%20)
![x = \frac{8}{2} \\](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B8%7D%7B2%7D%20%20%5C%5C%20)
![x = 4](https://tex.z-dn.net/?f=x%20%3D%204)
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Answer:
E: 2.00 + 0.75 [ 2r]
Step-by-step explanation:
r represents the number of miles. For each 1/2 mile the taxi will charge and extra free of $0.75. Then, for each mile, the taxi will charge $0.75*2. For example:
For a trip of 1 mile the taxi will charge:
$2.00+$0.75*2
For a trip of 2 miles, the taxi will charge:
$2.00+0.75*4
For a trip of 10 miles, the taxi will charge:
$2.00+$0.75*20
Notice that the variable fee (the one that depends on the number of miles) is $0.75 times the double of miles. In each case the number of miles is multiplied by two. Then the correct answer is E: 2.00 + 0.75 [ 2r]
What number is 35% of 80?
35/80
35 ÷ 80 = <span>0.4375
</span>0.4375 × 100 = <span>43.75
</span><span>43.75%
</span>
43.75% is 35% of 80.