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MAXImum [283]
3 years ago
8

Carla is riding a motorcycle across the country. After 4 hours, she is 600 miles from Denver. After 8 hours, she is 320 miles fr

om Denver. What is the total distance, in miles, to Denver from where Carla started riding?
Mathematics
2 answers:
KengaRu [80]3 years ago
6 0
I wanna say 920 but may be wrong 
lana66690 [7]3 years ago
6 0
If at 4 hours the distance away from Denver is 600 miles and after another 4 hours the distance is 320 miles. If every 4 hours they gain 280 miles then at the starting point there was 880 miles.
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The population of a certain type of seahorse grew by 13% from year to year.
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Step-by-step explanation:

A linear function is the formf(x)=mx+c , where m is the constant rate of change of y with respect to x and c is the y-intercept.

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If the population of a certain type of seahorse grew by 13% from year to year, then the rate of growth is 13% .

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3 years ago
What is an equation of the line that is perpendicular to −x+2y=4 and passes through the point (−2, 1) ?
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Step-by-step explanation:

Since our equation is in standard form Ax+By=C we must first manipulate the equation so that we have it in the slope-intercept form such that y=mx+b.  Therefore:

-x+2y=4\\2y=x+4\\\\y=\frac{x+4}{2}\\\\y=\frac{1}{2}x+2

Therefore, our slope is 1/2 and our y-intercept is 2.  Now in order to determine a perpendicular line to the one stated above we must then get the negative inverse of our slope meaning \frac{1}{2}=-2 (negative reciprocal).  Now we must use the point slope formula:

y=m(x-x_1)+y_1

Where m is the slope, x1 is -2 and y1 is 1 (because of the ordered pair given). And so:

y=-2(x-(-2))+1\\\\y=-2(x+2)+1\\\\y=-2x-4+1\\\\y=-2x-3

Therefore, the line that is perpendicular to -x+2y=4 is y=-2x-3.


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