Answer:
x > −3
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
Step 2: Subtract 3 from both sides.
Step 3: Divide both sides by -3.
Step-by-step explanation:
Hi there!
The given equation is:
y = -2x + 5………………(i)
Comparing the equation with y = mx+c, we get;
m1 = -2
Also another equation of the line which passes through point (-4,2), we get;
(y-2) = m2(X+4)............(ii) { using the formula (y-y1) = m2(x-x2)}
According to the question, they are perpendicular to eachother, So according to the condition of perpendicular lines;
m1*m2 = -1
-2*m2 = -1
or, m2 = 1/2.
Therefore, m2= 1/2.
Now, keeping the value of m2 in equation (ii).
(y-2) = 1/2(x+4)
y = (1/2)x + 4
Therefore, the required equation is: y = (1/2)x + 4.
<u>Hope</u><u> it</u><u> helps</u><u>!</u>
Answer:
To make this easier, first draw or imagine a vertical line at x=2
Find where the vertical line and the graph intersects.
Draw or imagine that point of intersection.
Now, draw or imagine a horizontal line that goes through the point of intersection.
That horizontal line tells us the the value of the function by passing through that mark that says "-2"
The function's value at x=2 is -2.
Have an awesome day! :)
Step-by-step explanation:
So you know that 30 + 30 + w + w = P. We also know the area is 240 square feet. Divide 240 by 30 to find the width of the area. 240 / 30 = 8. w = 8. So add 30 + 30 + 8 + 8 to find that P = 76. HOWEVER, remember that George is using part of his house as a wall instead of a fence. So subtract 8 from 76 to get 68 ft. George will need 68 ft. of fencing for his dog run.
