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algol [13]
3 years ago
5

D is partly constant and partly varies with V. When V = 40, D = 150, and when V = 54, D = 192. Find D when V = 73.

Mathematics
1 answer:
Temka [501]3 years ago
8 0
D = mV + C , ( compare this to your familiar y = mx + b)
when V=40, D=150
150 = 40m + C **
when V=54, D=192
192 = 54m + C ***
subtract ** from ***
42 = 14m
m = 3
sub into ** , 150 = 120 + C
C = 30

so you have D = 3V + 30

sub in your given value of V
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Using equations we know that the value of x needs to be (E) 4 to make HL congruent to AC.

<h3>What are equations?</h3>

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

So, HL is a hypotenuse that will be congruent to the hypotenuse AC.

We know that HL is 3x + 3.

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Then the equation will be:

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Now, solve the equation to get x as follows:

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Correct question:
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a. 8

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