Two angles are said to be supplement when their measure add up to 180 degrees.
Assume that the angle we are looking for is a and its supplement is s (I used s instead of x).
a + s = 180
a = 180 - s ......> equation I
We know that <span>the measure of the angle is eight times greater than its supplement.
This means that:
a = 8s ......> equation II
Substitute by equation II in equation I to get s as follows:
180 - s = 8s
180 = 9s
s = 20 degrees
Substitute in equation I to get the measure of the angle as follows:
a = 180 - s = 180 - 20 = 160 degrees
Based on these calculations:
The measure of the angle is 160 degrees
The measure of its supplement is 20 degrees</span>
I'm assuming that you meant:
y = 7x² + 3
Remember! Inputs are always x values (unless stated otherwise). Meaning the problem says:
x = 4
y = 7(4)² + 3
The square only applies to the 4. The 7 is not going to be squared! (To be exact it only applies to whatever the value of x is.
4² = 4·4 = 16
Remember:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Follow PEMDAS from left to right (or in the case above from top to bottom).
7·16 + 3 = ?
16·7 = 10·7 + 6·7 = 70 + 42 = 112
(All I did to multiply was break it up into parts. If it confuses you don't worry about it, and just multiply it out like normal or use a calculator if you are allowed to)
112 + 3 = ?
Our output is:
115!
Answer:
length, width, and height are (b+2), (b-2), (b+3)
Step-by-step explanation:
Doing what the problem statement tells you to do, you get ...
(b^3 +3b^2) -(4b +12)
= b^2(b +3) -4(b +3) . . . . . factor each pair of terms
= (b^2 -4)(b +3) . . . . . . . . . write as a product
= (b -2)(b +2)(b +3) . . . . . . use the factoring of the difference of squares
The three factors are (b-2), (b+2), and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.
Step-by-step explanation:
The function that is represented by the equation y=-10x+6 has a steeper slope and a greater y-intercept.
Step-by-step explanation:
18 units
have a great day
