Given :
Two equation 
and 
.
To Find :
The point of intersection of these lines .
Solution :
We will use elimination method :
From equation 1 :
Putting value of 
in equation 2 we get :
Putting value of 
in equation 1 we get :
Therefore , point of interaction is 
.
Hence , this is the required solution .
Answer:
slope 2.500
x intercept 1.80000
m intercept 4.50000
Step-by-step explanation:
<u>step 1:</u>
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
5*(x+4)-(-2*(-4-m)+3)=0
<u>step</u><u> </u><u>2</u><u>:</u>
-4 - m = -1 • (m + 4)
(5•(x+4))-((0--2•(m+4))+3) = 0
<em>step</em><em> </em><em>3</em><em>:</em>
5 • (x + 4) - (2m + 11) = 0
<u>step</u><u> </u><u>4</u><u>:</u>
5x - 2m + 9 = 0
<u>step</u><u> </u><u>5</u><u>:</u>
Solve 5x-2m+9 = 0
Answer:
Step-by-step explanation:
The answer is HL. We know this because it is a right triangle (:
hours each day.
Step-by-step explanation:
The given function models the number of cars that are put through a quality control test each hour at a car production factory.
The given function is
We need to find the number of hours does the quality control facility operate each day.
Rewrite the given function it factored form.
Taking out the common factors from each parenthesis.
The factored form of given function is c(t)=-(t-10)(t+2).
Equate the function equal to 0 to find the x-intercept.
Number of hours cannot be negative. So from t=0 to t=10 quality control facility operate the cars.
Therefore the quality control facility operates for 10 hours each day.
