Mathematics, 29.06.2019 02:30 jlarmee9

Which explains whether or not the graph represents a direct variation?

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Answer from: msmalls0396583

a. The graph has a constant of variation of 3, so it represents a direct variation.

Step-by-step explanation:

We have been given a graph and we are asked to find whether our given graph represents direct variation or not.

Since we know that a direct variation is an equation in slope-intercept form, which passes through origin (0,0) and constant of variation equals to the slope of the line.

Direct variation equation is in form: y=kx , where k= constant of variation.

Slope intercept equation of line is in form: y=mx+b , where m= slope and b= y-intercept.

Let us find equation of our given line in slope-intercept form.

We can see from our given graph that our line passes through the origin, so y-intercept (b) equals zero.

Let us find slope of our given line.

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

$m=\frac{3-0}{1-0}$

$m=\frac{3}{1}=3$

Upon substituting m=3 and b=0 in slope intercept form of equation we will get: y=3x+0 . Upon comparing our line with direct variation equation we can see that k=3, therefore, option a is the correct choice.

Answer from: Quest

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

$i=\frac{85}{100}=0.85$

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

Answer from: Quest

“exterior angles of triangles. an exterior (or external) angle is the angle between one side of a triangle and the extension of an adjacent side. try this drag the orange dots on any vertex to reshape the triangle.” look to get to the answer i explained what it means and other things i hope it you .
Which is the beat definition of an exterior angle of a triangle

Which is the beat definition of an exterior angle of a triangle

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