Answer:
y= -4x-6 is the required equation.
Step-by-step explanation:
Lets take (0,-6) and (1,-10)
now
slope = (y2-y1)/(x2-x1)
= ((-10+6)/(1-0)
= -4/1
so, m = -4
again
y=mx+c
or, -10=-4×1+c
or, -10 = -4+c
so, c = -6
now
y=mx+c
or, y = -4x-6
When two triangles are similar, they're sides are in proportion.
In order to find the unknown side, we first have to find the ratio of the larger triangle to the smaller triangle.
We can use the sides TV and LN to make the proportion.
= 
The ratio between the two triangles is 21:6
Now we can solve for the unknown side.
= 
Cross multiply:
8 * 21 = 6 * LM
168 = 6LM
Divide both sides by 6:
LM = 28
The unknown side's length is 28 centimeters
Good luck!
Answer:
x = 13
Step-by-step explanation:
For this problem, we will simply uses properties of addition and multiplication to isolate the x variable for the following equation.
4x - 7 = 45
Now consider the following. First, we must isolate the x term by adding 7 to both sides.
4x - 7 = 45
4x -7 +7 = 45 +7
4x = 52
Second, let's further isolate x by multiplying both sides by 1/4 to create a coefficient of 1 Infront of the x variable.
4x = 52
(1/4) * 4x = 52 * (1/4)
x = 13
Hence, we have solved the equation 4x-7=45 where x=13.
Cheers.
Answer:
D. The graph of G(x) is the graph of F(x) flipped over the y-axis and
stretched vertically.
Step-by-step explanation:
since there is a negative, there must be a reflection. the reflection is over the y-axis because it is outside the x-value (-F(x) not F(-x))
the same goes for the vertical stretch. we know it is a vertical stretch because the 3 is outside the x-value (3F(x) not F(3x))
The last one is correct because 60+35+35+35=165
55+55+55=165
