Answer:
b = -9.
Step-by-step explanation:
The line passes through (4, 3) and (7, 12). First, we need to find the slope: the rise over the run.
(12 - 3) / (7 - 4) = 9 / 3 = 3.
Now that we have the slope, we can say that m = 3. So, we have an equation of y = 3x + b. To find b, we can use M(4, 3) and say that y = 3 and x = 4.
3 = 3 * 4 + b
b + 12 = 3
b = -9.
Hope this helps!
9514 1404 393
Answer:
HL
Step-by-step explanation:
The triangles are right triangles, opening the possibility of using the special right-triangle congruence theorems.
The hypotenuses are marked congruent, and one leg is shared. No angles (except the right angle) are marked congruent. With only two sides and one angle, the AAS, SSS, and ASA theorems cannot apply.
The HL theorem can be used to show the triangles are congruent.
1.)
Velocity is in m/s, and acceleration is in m/s^2 like you said. Because of this, we can calculate this by dividing the speed by the time it took to get to that speed.
(20 meters/second) / 10 seconds = 2 meters/ second^2
2.)
Same thing with the first one.
(100 meters/second) / 4 seconds = 25 meters / seconds^2
Formula for Perimeter of Rectangle:
P = 2(L + W)
Plug in 160:
160 = 2(L + W)
L = 4W
<span>So we can plug in '4W' for 'L' in the first equation.</span>
<span>160 = 2(L + W)
160 = 2(4W + W)
Combine like terms:
160 = 2(5W)
160 = 10W
Divide 10 to both sides:
W = 16
Now we can plug this back into any of the two equations to find the length.
L = 4W
L = 4(16)
L = 64
So the width is 16, and the length is 64.</span>
Move the constant to the right
5k=7-6
calculate
5k=1
solution: k=1/5 or k=0.2
