Answer:
The expression that is equivalent to -6x+9y would be -3(2x-3y)
(2,4) is the only possible answer because it is the only one in the shaded area
1a 2.5 characters per second
1b 3 characters per second
1c 3.5 characters per second
1d s = 2 + 0.5m
2a 8 = 2 +0.5m
6=0.5 m
m=12
2b the final speed James wants is 8 cps. sub that in for s. we want to know m. first, subtract 2 from both sides to get 6. then, divide by 0.5, which is 1/2 as a fraction. In order to divide a number by a fraction, you need to invert the fraction and switch operations from division to multiplication. It becomes 2/1 * 6 = 12.
3a 10 r +4 = 8
10r =4
r =4/10=2/5
3b. In this equation, r could be the increase in amount of characters that Lydia can type per second.
4. John buys a small tree that is 5 inches tall. Each month, this tree grows 8 inches. How long will it take for the tree to reach 37 inches in height?
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Answer: i.. do.... not... know..
Step-by-step explanation:
Answer:
x = 12
Step-by-step explanation:
Recall: the secant-tangent rule states that when a secant and a tangent meet at an external point of a circle, the product of the secant and the external segment is equal to the square of the tangent segment
(x)(3) = 6² (secant-tangent rule)
3x = 36
Divide both sides by 3
3x/3 = 36/3
x = 12