Answer:
x = −
1
, 2
√
3
/3
, and −
2
√
3
/3
Step-by-step explanation:
3x^3+3x^2-4x-4=0
By factoring, I can get simpler equations to get the roots.
x + 1 = 0, or x = -1
√
3 x + 2 = 0, or −
2
√
3
/3
√
3 x - 2 = 0, or 2
√
3
/3
Factor
x
2
+
15
x
+
44
x
2
+
15
x
+
44
using the AC method.
(
x
+
4
)
(
x
+
11
)
Answer:
x=10
Step-by-step explanation:
The two triangles are similar since each triangle is the same shape of right triangle but different sizes. To find x, write a proportion between two equal ratios of side lengths.

Solve by cross multiplying.
28(3x) = 20(4x+2)
84x = 80x + 40
4x = 40
x=10
Answer:
y=2x-5
Step-by-step explanation:
The slope-intercept form of an equation looks like y=mx+b. Where m is the slope and b is the y-intercept. The slope is already given to us, so m is 2.
To find b use the equation
. So, to find the y-intercept use b=-7-(2*-1). This equals b=-5.
So, plug in the values to get the final equation y=2x-5.
M would have a new coordinate of (4,5)