Answer:
"first number line shown in the diagram"
Step-by-step explanation:
Whenever we have inequality of the form
| x + a | > b
we can write
1. x+a > b, and
2. -(x+a) > b
and solve both.
So we can write
1. 8x + 16 > 16
2. -(8x+16) > 16
<u>Solving 1:</u>
8x > 16 - 16
8x > 0
x > 0
<u>Solving 2:</u>
-(8x+16) > 16
-8x - 16 > 16
-16 -16 > 8x
-32 > 8x
-32/8 > x
-4 > x
Putting these together, we can say x is greater than 0 & x is less than -4
The first number line is right.
The value of x is 8√2.
<u>Step-by-step explanation</u>:
<u>From the right triangle,</u>
- The angles are 90°, 45° and the third angle is unknown.
- Third angle = 180° - (90°+45°) = 45°
- The measure of third angle is 45°
The length of the side opposite to angle 45° is a=8.
Therefore, the value of y opposite to angle 45° is also 8.(b=8)
<u>Using Pythagorean theorem,</u>
The length of hypotenuse is c ⇒ c² = a²+b²
c² = 8²+8²
c² = 64+64 = 128
c = √128
c = √64
2
c = 8√2
Answer:
11
n²
Step-by-step explanation:
Given

=
×
× 
= 11 ×
× n²
= 11
n²
You should specify whether it's 10 degrees east or west, but since 60N 10W is in the ocean, it must be 60N 10E, which is near Oslo, Norway. You can easily input longitudes and latitudes into Google Maps if you ever need help with that.
A: 450. 1,350-1,200=150 x 3=450.
B: I'm not sure how to make a slope intercept graph... :(