180 = 2n + 128
2n = 52
n = 26°
180 - 128 = 52
90 + 52 + m = 180
142 + m = 180
m = 38°
Answer: n = 26° and m = 38°
Answer:
x=0 x=-5 x=2
Step-by-step explanation:
4x3 + 12x2 = 40x
Subtract 40x from each side
4x3 + 12x2 - 40x=0
Factor out 4x from each term
4x( x^2 +3x-10) =0
Factor the term insdie the parentheses
What 2 numbers multiply to -10 and add to 3
5*-2 =-10
5+-2 =3
We have (x+5) (x-2)
Replace that in the equation
4x ( x+5) (x-2) =0
Using the zero product property
4x= 0 x+5 =0 x-2 =0
x=0 x=-5 x=2
Answer:
x=-5 y=2
Step-by-step explanation:
1) multiplying equation 1 by 4 and multiplying equation 2 by 2 .
2)adding them we get value of y.
3) replacing value of y in either of given equation
Answer:

Step-by-step explanation:
Given

Translation = 3 units down
Vertical stretch of 2 to give g(x)
Required

3 units down translation
A function is translated down as follows:

Where k is the number of units.
So:


Vertical stretch of 2
A function is vertically stretched as follows;

Where a is the units stretched.
In this case:

So:



There are special properties to certain right triangles.
A 3-4-5 triangle will always be a right triangle. 9 divides into 3, and 15 divides into 5, so you can use ratios to find b.
Since 9 divides into 3, we will use this to set up proportions for the missing value:

Cross multiply the fractions.

Divide both sides by 3.

The missing value is
12.