To graph an equation on a number line, You place a point at where the number lies. For example, x=5 would mean that you place a point on 5 and not draw a line.
To graph an inequality on a number line, if depends if it is <, >, ≤, or ≥ . If it is ≤, it is a closed point on the number and a line moving to the left of the number. If it is a ≥, then it is a closed point on the number with a continuous line to the right. If it is a <, it is an open point on the number with a line going to the left. If it is a >, then it is an open point going to the right.
I'll attach a photo to show you what it looks like! :) Hope this helps! :)
Hello!
I've attached the diagram.
For this problem, since you have a right triangle, you can use the Pythagorean Theorem to fine the length of the ladder (the hypotenuse of the triangle).
Pythagorean Theorem (where c is the hypotenuse):
a² + b² = c²
The triangle's leg lengths are 8 and 6; substitute into the theorem:
8² + 6² = c²
Simplify:
64 + 36 = c²
100 = c²
10 = c
Answer:
The length of the ladder is 10 m.
Answer:
Remove 1 x-tile from both sides.
Remove 3 unit tiles from both sides.
Step-by-step explanation:
2x + 3 = x + 5
First we want all the variables on one side
Subtract x from each side so Remove 1 x-tile from both sides.
x+3 = 5
Now we need to get all the constants on the same side
Subtract 3 from each side so Remove 3 unit tiles from both sides.
x = 5-3
x=2
To represent the change in points, you can think of it in two ways:
1. You will go down 25 points for every wrong answer, so -25 + -25 + -25 would represent what is happening. They are all negative, so you keeping moving down in value.
2. You can also think of this as 3 groups of -25.
Both answers are -75. The answer is negative because the change was down in points.
-75 is the integer that represents this situation.