<span>Simplifying
6(x + -1) = 9(x + 2)
Reorder the terms:
6(-1 + x) = 9(x + 2)
(-1 * 6 + x * 6) = 9(x + 2)
(-6 + 6x) = 9(x + 2)
Reorder the terms:
-6 + 6x = 9(2 + x)
-6 + 6x = (2 * 9 + x * 9)
-6 + 6x = (18 + 9x)
Solving
-6 + 6x = 18 + 9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x' to each side of the equation.
-6 + 6x + -9x = 18 + 9x + -9x
Combine like terms: 6x + -9x = -3x
-6 + -3x = 18 + 9x + -9x
Combine like terms: 9x + -9x = 0
-6 + -3x = 18 + 0
-6 + -3x = 18
Add '6' to each side of the equation.
-6 + 6 + -3x = 18 + 6
Combine like terms: -6 + 6 = 0
0 + -3x = 18 + 6
-3x = 18 + 6
Combine like terms: 18 + 6 = 24
-3x = 24
Divide each side by '-3'.
x = -8
Simplifying
x = -8</span>
Answer:
Step-by-step explanation:
Given that,
Radius of the cone, r = 5 units
Height of the cone, h = 6 units
We need to find the volume of the cone. The formula for the volume of the cone is given by :
Substitute all the values,
So, the volume of the cone is 
.
Answer:
Step-by-step explanation:
Analyzing the growth rate of 1.07:
If the growth rate is a number greater than 1, we have exponential growth; if the growth rate is a number greater than 0 but less than 1, we have exponential decay.
Our growth rate is actually growth. But the rate of growth is not 107%. The rate of growth means that we already had 100% of the population and that it is growing by 7% each year. 100% + 7% = 107%; as a decimal, 1.07
So the rate of growth is 7%
The best linear model for the data that's illustrated will be y = 10x + 5
<h3>What is a linear model?</h3>
It should be noted that a linear model simply means model where the terms are added. It should be noted that this can be used in connection with the regression model.
Here, the best linear model for the data will be:
= (10 × x) + 5
= 10x + 5
Therefore, the best linear model for the data that's illustrated will be y = 10x + 5.
Learn more about model on:
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Answer:
Side a = 10.44031
Side b = 10
Side c = 3
Angle ∠A = 90° = 1.5708 rad = π/2
Angle ∠B = 73.301° = 73°18'3" = 1.27934 rad
Angle ∠C = 16.699° = 16°41'57" = 0.29146 rad
