Answer:
y = 6x - 14
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Equality Properties
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
[Point-Slope Form] y - 4 = 6(x - 3)
<u>Step 2: Rewrite</u>
<em>Find Slope-Intercept Form.</em>
- Distribute 6: y - 4 = 6x - 18
- Isolate <em>y</em>: y = 6x - 14
-3x + 10 = 34
Subtract 10 from both sides:
-3x = 24
Divide both sides by -3:
X = 24 / -3
X = -8
musiclover10045
Middle School Mathematics 39+20 pts
I have two questions to solve
-3x+10=34
13x-4=11x+10-8
Combine like terms on the right side:
13x -4 = 11x + 2
Subtract 11x from both sides:
2x -4 = 2
Add 4 to both sides:
2x = 6
Divide both sides by 2:
X = 6/2
X = 3
<u>Given</u>:
Given that the figure of similar triangles.
The altitude of the triangle is x.
The length of the left part is 30.
The length of the right part is 15.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the geometric mean theorem.
Thus, we have;

Substituting the values, we have;

Cross multiplying, we get;


Taking square root on both sides, we have;

Thus, the value of x is 15√2