Answer:
7
Step-by-step explanation:
f(x)=
If f(24), x=24

24-8=16
=4
4+3=7
2x + 12y = -1
12y = -2x - 1
y = - 1/6x - 1/12...slope here is -1/6. A perpendicular line will have a negative reciprocal slope. All that means is flip the slope and change the sign. So our perpendicular line will need a slope of 6.
y = mx + b
slope(m) = 6
(0,9)...x = 0 and y = 9
sub and find b, the y int
9 = 6(0) + b
9 = b
so ur perpendicular equation is : y = 6x + 9 <==
Answer:
(-3,1)
Step-by-step explanation:
9x+8y=-19
7x+9y=-12
I'll assume the question is to find the solution to these equations. The solution will be the point (x,y) where the two lines intersect. The intersection is the one point that satisfies both equations (the smae value of (x,y) works in both.
We can either solve matematically of graph to find the intersection. I'll do both, and hope the answers are identical.
<u>Matematically</u>
Rearrange either equation to isolate one of the variables (either x or y). I'll take the second and isolate x:
7x+9y=-12
7x = -9y - 12
x = (-9y - 12)/7
Now use this definition of x in the other equation:
9x+8y=-19
9((-9y - 12)/7) + 8y = -19
(-81y - 108)/7 + 8y = -19
-81y - 108 + 56y = - 133
-25y = -25
<u>y = 1</u>
If y = 1, then:
9x+8y=-19
9x+8(1)=-19
9x = -27
<u>x = -3</u>
<u></u>
<u>The solution is (-3,1)</u>
<u>Graphing</u>
<u></u>
Graph both lines and look for the intersection. The attached graph shows the lines cross at (-3,1).
The solution, bu both approachjes, is (-3,1)
Think about it. The area (the two dimensional version of volume) of a two dimensional shape, like a square, can be 2 feet by two feet. Multiply these together, and you get 4 feet^2, or four feet squared, This is because in order to get the volume, you multiply the base times the height, one side by the other. You make the feet "feet squared" because you are also multiplying the measurements together, too. In three dimensional shapes though, you have three different ways to go. You have the base, the height and the width beyond it. So you multiply them together and get 8 feet^3 or 8 feet cubed (you multiply three measurements together).
Answer:
-4
Step-by-step explanation:
Compare this to the form ...
y -y1 = m(x -x1)
which is the point-slope form of the equation for a line. Matching the parts of the equation, you see that ...
m represents the slope of the line. The slope is -4.