13+14=180°
12x-22+9x-29=180
21x-51=180
x=11
m<2=m<14
m<2=70°
The answer to number 17 is c
Such an equation would be y + 8x = - 25 (standard form) OR y = -8x - 25 (y-intercept form)
Deriving The Answer:
By using the point-slope form of the equation of a line, by knowing the gradient of that line and a point on that line, the equation of this line can be derived.
Now, the point-slope form exists as y - y₁ = m ( x - x₁)
since slope = -8 and the point on the line = (-4 , 7)
Then m = - 8
x₁ = - 4
y₁ = 7
⇒ y - 7 = -8 ( x - (-4))
⇒ y - 7 = -8x - 32
⇒ y + 8x = - 25
Answer:
144 ft
Step-by-step explanation:
The object's maximum height is the same as the y-coordinate of the vertex.
To find that, first, finds the x- coordinate(t).You can find it by: first identifying a, b and c.
Multiply the b by negative 1 or simply change its sign and divide it by 2a.
Afterward, plug the answer in the equation to find y, your answer.(ax+bx²+c=-16t²+64t+80).
Therefore, a=-6, b= 64 and c=80-64/2(-16)=-64/-32=2-16(2)²+64(2)+80=144 ft
So the maximum height of the object, when launched 64ft/sec from a platform that is 80 ft high, is 144 ft
