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3 years ago

Y varies directly as the square of x. When x = 5, y = 100. Find y when x = 6.

Mathematics

1 answer:

loris [4]3 years ago

4 0

Let be x=5, so y=100= 5² *4=5²*2²=100
so if x=6, so y=6²*2²=36*4=144
the answer is y = 144

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CD is perpendicular to AB and passes through point C5, 12).

Aleksandr-060686 [28]

Answer:

x intercept of CD = 17

Step-by-step explanation:

We are given a line AB with its end coordinates. and Another line segment CD which is perpendicular to AB. We have the coordinates of C , and we are asked to find the x intercept of line CD.

For that we need to find the equation of CD

we have coordinates of C , and hence if we have slope of CD we can find equation of CD

Slope of CD can be determine with the help of slope of AB as CD⊥ AB

So, the slope of CD $mCD = -\frac{1}{mAB}$

Hence we start from determining slope of AB

slope is given as

$m= \frac{y_2-y_1}{x_2-x_1}$

$m= \frac{14-(-3)}{7-(-10)}=\frac{17}{17}=1$

Hence $mAB=1$

There fore $mCD=-1$

(∵ Product of Slopes of two perpendicular lines is always -1)

Now we find the equation of CD with the help of slope -1 and coordinates of C(5,12)

$m=\frac{y-y_1}{x-x_1}$

$-1=\frac{y-12}{x-5}$

$-x+5=y-12$

$y=-x+17$

Hence we have our equation , now in order to find the x intercept we keep y = 0 in it and solve for x

$0=-x+17$

$x=17$

Hence the x intercept is 17

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Answer:

Step-by-step explanation:

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I need to know what 70% of 120 = ?

malfutka [58]

Question: 70% of 120 = ?

Work:

To find what 70% of 120 is. Do .70 times 120.

.70 x 120 = 84

Final Answer:

84

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