3 years ago

Determine the equation of the line that has a slope of 8 and has a y-intercept of -9

Mathematics

1 answer:

Xelga [282]3 years ago

6 0

Answer:

starting point is -9

y = 8x + -9

Step-by-step explanation:

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Its in the picture below a: 1% decay b: 10% decay c: 9% growth d: 90% growth

Trava [24]

Answer:

b: 10% decay

Step-by-step explanation:

Expressed as a percentage change, the growth is usually the value of the base of the exponential function after 1 has been subtracted. That result is expressed as a percent:

0.9 - 1 = -0.10 = -10% . . . . . 10% decay

_____

The "t/12" exponent means this is the decay that is experienced over 12 units of time. This might be the annual decay, where t is expressed in months, for example.

6 0

3 years ago

On the coordinate grid of a map. Jeff's house is located at (9,5). Hannah's house is at (-5,-5). Kenya's house is located at the

Andru [333]

The midpoint formula is $\frac{ x_{1} + x_{2} }{2}, \frac{ y_{1}+ y_{2} }{2}$
So just plug in the corresponding coordinates in the correct place to get the midpoint.
x_1=-5 ; x_2=9 ; y_1=-5 ; y_2=5
((-5 + 9)/2 , (-5 + 5)/2)
(4/2 , 0/2)
(2,0) is where Kenya's house is(which is the midpoint).

The distance formula is a bit more complicated than that. The distance formula is D= $\sqrt{({y_{2}- y_{1} }^{2}) + ({ x_{2}- x_{1}}^{2} ) }$
In this case now, your looking for the distance from Hannah's house to Kenya's house.
D= $\sqrt{(-5-2)^{2} + (-5-0)^{2} }$
= $\sqrt{49+25}$
= $\sqrt{74}$ ≈8.6023