For
ax+by=c
slope=-a/b
we have
-6x+1y=-4
slope=-6/-1=6
slope is 6
yint is where x=0
-6(0)+y=-4
0+y=-4
y=-4
yint is at y=-4 or (0,-4)
Hey there! :D
y=2x-9
We can plug that in as y, since y is equal to 2x-9.
5x-3(2x-9)= 23
Distribute.
5x-6x+27= 23
-1x+27=23
Subtract 27 on both sides.
-1x=-4
Divide both sides by -1.
x=4
Now, plug that in for y.
y=2(4)-9
y=8-9
y=-1
(4,-1) <== solution
I hope this helps!
~kaikers
We know that the area of a rectangle is length * width, and the area of a triangle is 1/2 * base * height. However, we know that the areas are equal, or that
lw = 1/2bh
If we substitute in the measurements that we know, we can solve the following equation for x.
5x + 1 (x) = 1/2(8x)(x+1)
Let's simplify this equation by multiplying.
5x² + x = 4x² + 4x
Now, let's bring all of the variables to one side of the equation.
x² - 3x = 0
Finally, we should factor out the Greatest Common Factor.
x(x-3) = 0
Therefore, by the Zero Product Property, x = 0, 3. But since the measurement of the short side length of the rectangle is x, it cannot be zero. Thus, x = 3.
The question asks for the area of the rectangle, which is <span>5x² + x.
</span>
Let's solve this expression for x = 3.
5(3)² + 3
5(9) + 3
45 + 3
48
Therefore, the area of the rectangle is 48 square units, or option B.
Answer:
5x+36
Step-by-step explanation:
