She wants all her rows in 6 so she needs a number of cars divisible by 6 which the next one would be 24 so she needs 1 additional car
-x^2 - 5x - 4 = -x^2 + 9x - 18
-5x - 9x = -18 + 4
-14x = -14
x = -14/-14
x = 1 <====
y = -x^2 - 5x - 4
y = (-1^2) - 5(1) - 4
y = 1 - 5 - 4
y = 1 - 9
y = -8 <====
Answer:
Step-by-step explanation:
The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.
Tan θ = 
= 
the the distance, d = x ÷ Tan θ
Assume the angle of elevation of the top of the tree is
, and the height of the tree is 10 m, then the distance, d, across the river would be;
d = 
= 17.3190
d = 17.32 m
The sketch to the explanation is attached to this answer for more clarification.
Answer:
y = -0.2x - 5.8
Step-by-step explanation:
If a line is given in the form y = mx + b, the "m" is the slope.
For the line given y = 5x, the slope is 5
The line that is perpendicular to this will have slope that is "negative reciprocal of that".
So, the perpendicular line will have slope of 
So, the Perpendicular Line will have equation:
y = -1/5x + b
Let's find b by replacing x with 6 and y with -7 [the point given]. So we have:

So the equation of perpendicular line = y = -0.2x - 5.8