a < -9
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
5*a+18-(-27)<0
Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
5a + 45 = 5 • (a + 9)
Equation at the end of step 1 :
Step 2 :
2.1 Divide both sides by 5
Solve Basic Inequality :
2.2 Subtract 9 from both sides
a < -9
Answer:
g(q) = 
Step-by-step explanation:
Given
- 7q + 12r = 3q - 4r
Rearrange making r the subject
Add 7q to both sides
12r = 10q - 4r ( add 4r to both sides )
16r = 10q ( divide both sides by 16 )
r =
=
, thus
g(q) = 
Answer:
C (circumference) =2×π×r
we've got a 30-60-90 triangle
which means 9=d√3, d=5.19 exact inches
or ≈5.20 inches
d=2r, r=5.20÷2≈2.60 inches
C=2×3.14×2.60≈16.328
Answer:
Length: 7
Width: 4
Step-by-step explanation:
We can create a system of equations for this problem, where
is the width and
is the length.
The perimeter of a rectangle is twice its length added to twice its width.

The length is 3 more than the width:

We can now substitute in
as
in the equation
.

Distribute the first terms:

Combine like terms:

Subtract 6 from both sides:

Divide both sides by 4:

Now we know that w = 4. We can now substitute this inside an equation to find
.

Hope this helped!
Answer:
Step-by-step explanation: