Answer: (x,y) → (x - 2, y - 8)
Step-by-step explanation:
Two units to the left would mean decreasing value on the x-axis, making it -2.
Eight units down would, again, mean decreasing value on the y-axis, making it -8.
Therefore, (x,y) → (x - 2, y - 8) is the correct translation rule.
I hope this helps :)
I get it, Geometry can be pretty difficult sometimes... I'm in it right now lol
Answer:
Q2: -17
Q3: a) -5/2 b) g = -13
Step-by-step explanation:
2w+7 = -9
2w = -9 - 7
w = -16/2
w = -8
---
15 - 4w
= 15 - 4(-8)
= 15 - 32
= -17
----------------------
Q3:
a) 3/4(16m-24) = -48
16m -24 = -48 ÷ 3/4
16m = -64 + 24
16m = -40
m = -5/2
b) -20 = 1/6(36+12g)
-20 = 1/6 × 6(6+2g)
(cross out the 6 from 1/6 and 6)
-20 = 6 + 2g
-20-2g= 6
-2g = 6+20
-2g = 26
g = 26/-2
g = -13
Answer:
3 11/16 pounds
Step-by-step explanation:
Lynne bought a bag of grapefruit, 1 5/8 pounds of apples, and 2 3/16 pounds of bananas. The total weight of her purchases was 7 1/2 pounds. How much did the bag of grapefruit weigh?'
The Total weight = Weight of grape fruits + Weight of Apples + Weight of Bananas
Let the weight of the grape fruit = x
7 1/2 = x + 1 5/8 + 2 3/16
x = 7 1/2 - (1 5/8 + 2 3/16)
Lowest Common Denominator = 16
x= 7 1/2 - 3 + ( 10+ 3/16)
x = 7 1/2 - 3 + (13/16)
x = 7 1/2 - 3 13/16
Lowest Common Denominator = 16
x= 4 (8 - 13/16)
x = 4 (-5/16)
x = 3 11/16 pounds
Therefore, the bag of grapefruits weighed 3 11/16 pounds
To start off, you need to take the cube root of both sides of the equation.
![\sqrt[3]{x} = \frac{ \sqrt[3]{27} }{ \sqrt[n]{64} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%7D%20%3D%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7B27%7D%20%7D%7B%20%5Csqrt%5Bn%5D%7B64%7D%20%7D%20)
The cube root of 27 is 3, and the cube root of 64 is 4.
The answer would then be x=3/4
Answer:
(x/8) + (2x)
Step-by-step explanation:
Let "a number" & "the number" (as they mean the same number) = x
"The Quotient" (meaning divide) of "a number and eight" = x/8
"increased by" (adding) by "twice the number" = + 2x
(x/8) + (2x) is your answer
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