Answer:
Step-by-step explanation:
|4x + 3| = 9 + 2x
We see the absolute value so we have to consider 2 cases:
(1)
4x + 3 = -9 - 2x
6x = -12
x = -2
(2)
4x + 3 = 9 + 2x
2x = 6
x = 3
Let's plug in both results.
|4(-2) + 3| = 9 + 2(-2)
|-5| = 9 - 4
5 = 5
Therefore x = -2 is a solution
|4(3) + 3| = 9 + 2(3)
|15| = 9 + 6
15 = 15
Therefore x = 3 is also a solution.
Answer:
4a + 3b
Step-by-step explanation:
3a + a + 5b - 2b
3a + s = 4a
5b - 2b = 3b
<em><u>4a + 3b</u></em>
The math club could rent the room for up to 8 hours. I have also attached a picture of the work in case you need it.
<span>1 gallon= 4 quarts
She made 5 quarts of juice, that means that she has 1 gallon (4 quarts) and one quart left over!
which can be written as 1 1/4!
</span>
Answer:
38.60mm
Step-by-step explanation:
Step one:
Given data
We are given that the dimension of the triangles are length 23 mm and 31 mm
Let us assume that the triangle is a right angle triangle
Step two:
Applying the Pythagoras theorem we can find the third as

square both sides
z= √ 1490
z= 38.60mm
Hence a possible dimension of the third side is 38.60mm