Answer:
yes
Step-by-step explanation:
y=3x + 1
y = -x+5
Check if (1,4) solves the first equation
4 = 3(1)+1
4 = 3+1
4=4
This is true
Check the second equation
4 = -1+5
4=4
This is true
(1,4) is a solution to the system of equations
x = 14
Explanation:
height = x
base 1 = 98
base 2 = 2
Using altitude formula in geometric mean:
base 1/height = height/base 2
98/x = x/2

Answer:
max. height = 240
Step-by-step explanation:
Function should be h(t ) = - 16t² + 96t
find the zeros by solving h(t) = 0
- 16t² + 96t = 0 ( take out common factor - 16t )
- 16t(t - 6) = 0
equate each factor to zero and solve for t
- 16t = 0 ⇒ t = 0
t - 6 = 0 ⇒ t = 6
the maximum vertex is at the midpoint of the zeros
t =
= 3
h(3) = (- 16 × 3) + (96 × 3) = - 48 + 288 = 240 ← max. height
Answer:
Step-by-step explanation:
Parallel lines have same slope.
Slope of the required line = 3/4
(-1,7)
Point slope form: y - y1 = m(x -x1)
![y - 7=\dfrac{3}{4}(x -[-1])\\\\\\y -7 =\dfrac{3}{4}(x+1)](https://tex.z-dn.net/?f=y%20-%207%3D%5Cdfrac%7B3%7D%7B4%7D%28x%20-%5B-1%5D%29%5C%5C%5C%5C%5C%5Cy%20-7%20%3D%5Cdfrac%7B3%7D%7B4%7D%28x%2B1%29)