Answer:
D) The y-intercept represents the jump height at the minimum bicycle weight.
Step-by-step explanation:
Since the bicycle weight starts at 0, which everyone knows means "minimum", and the jump height marks at 11.5 when you look at the y-axis, it clearly means that that is the jump height at the lowest possible bicycle weight.
Answer:
8000
Step-by-step explanation:
It's the only number missing from the answer to arrive at the answer itself :)
Given that
XY*8 = YYY ⇒⇒⇒ Where X and Y are digits
So, X is equal to one of the digits from 1 to 9
and Y is one of the digits from 1 to 9
This can be solved as following
YYY = 100Y + 10Y + Y = Y(100+10+1) = 111Y
XY*8 = 8 (10X + Y) = 80X + 8Y
∴ 80X + 8Y = 111Y
∴ 80 X = 111Y - 8 Y
∴ 80 X = 103 Y
∴ Y = 80X/103
substitute with X = 1 to 9
X = 1 ⇒⇒⇒ Y = 0.77 ⇒⇒ unacceptable
X = 2 ⇒⇒⇒ Y = 1.55 ⇒⇒ unacceptable
X = 3 ⇒⇒⇒ Y = 2.33 ⇒⇒ unacceptable
X = 4 ⇒⇒⇒ Y = 3.11 ⇒⇒ unacceptable
X = 5 ⇒⇒⇒ Y = 3.88 ⇒⇒ unacceptable
X = 6 ⇒⇒⇒ Y = 4.66 ⇒⇒ unacceptable
X = 7 ⇒⇒⇒ Y = 5.44 ⇒⇒ unacceptable
X = 8 ⇒⇒⇒ Y = 6.21 ⇒⇒ unacceptable
X = 9 ⇒⇒⇒ Y = 6.99 ⇒⇒ unacceptable
So, The is no value of Y to achieve ⇒⇒ XY * 8 = YYY
================================================
I think the problem is as following:
Given that XY8 = YYY ⇒⇒⇒ Where X and Y are digits
So, X is equal to one of the digits from 1 to 9
and Y is one of the digits from 1 to 9
This can be solved as following
YYY = 100Y + 10Y + Y = Y(100+10+1) = 111Y
XY8 = 100X + 10Y + 8
∴ 100X + 10Y + 8 = 111Y
∴ 100x + 8 = 101Y
∴ Y = (100X + 8)/101
substitute with X = 1 to 9
X = 1 ⇒⇒⇒ Y = 1.07 ⇒⇒ unacceptable
X = 2 ⇒⇒⇒ Y = 2.06 ⇒⇒ unacceptable
X = 3 ⇒⇒⇒ Y = 3.05 ⇒⇒ unacceptable
X = 4 ⇒⇒⇒ Y = 4.04 ⇒⇒ unacceptable
X = 5 ⇒⇒⇒ Y = 5.03 ⇒⇒ unacceptable
X = 6 ⇒⇒⇒ Y = 6.02 ⇒⇒ unacceptable
X = 7 ⇒⇒⇒ Y = 7.01 ⇒⇒ unacceptable
X = 8 ⇒⇒⇒ Y = 8 ⇒⇒⇒ integer ⇒⇒ the correct answer
X = 9 ⇒⇒⇒ Y =8.99 ⇒⇒ unacceptable
So, The value of Y = 8
10 and 15 dear^^ 5(15) + 3(15) =28
Answer:
1. 109
2. 29
3. 71
Step-by-step explanation:
1. since a triangle's interior angles always add up to 180, you can add 35 and 36 to get 71, then subtract that from 180 to find the third angle
2. the unnamed angle in triangle RUV is supplementary to <1.Supplementary angles are angle the add up to 180. So you can subtract 109 from 180 to find the unnamed angle. It is 71. Now you can repeat the steps in question one to find <2 in triangle RUV. You get that <2 is 29
3. Angle 3 and the unnamed angle are vertical angles. This means that they are opposite to each other and are congruent. This means that they have the same measure. Knowing that the unnamed angle is 71, we can say that angle 3 is also 71.