Answer:
m= 1/7
Step-by-step explanation:
To solve for slope: y2- y1/ x2- x1 so,
1-2/ -2-5
= -1/ -7
= 1/7
Answer:
c. 24/25
Step-by-step explanation:
1. Use SOH CAH TOA
2. Highlight C, so you know what your looking for
3. Since were finding the cosine of C we need the side adjacent(next to) and the hypotenuse of C. We know this because of CAH(cosine= adjacent/hypotenuse
4. C is closest to 24 so we have our adjacent side as 24, this will be the numerator
5. Then find the hypotenuse, which is opposite of the 90 degree angle, marked by the square box in the triangle
6. Our Hypotenuse is 25, which will be our denominator
<h3>7. Giving the answer is 24/25</h3>
Answer:

Step-by-step explanation:
we know that
The equation of a exponential growth function is equal to

where
P is the population
t is the time in years
a is the initial value
r is the rate of change
<u><em>Looking at the table</em></u>
For t=0
The value of P=1,000
so
substitute the value of the ordered pair (0,1,000) in the exponential equation

The initial value is a=1,000
substitute

For t=1
The value of P=1,400
so
substitute the value of the ordered pair (1,1,400) in the exponential equation

therefore
The exponential equation is

A : B : C = 5 : 8 : 10
A+ B = 5x + 8x = 13x
13x - 10x = 60
3x = 60
x = 20
Total = 5x + 8x + 10x = 23x
23x = 23(20) = 460 <========= answer
Draw triangles within the ramps and since they are right triangles, use the pythagorean theorem based on what was given and solve