X, y - the numbers
The numbers add up to 5 and multiply to -36.

The numbers are
-4 and
9.
The answer is A) 28
Set up a proportion based on the triangle side lengths. I chose to put the smaller ones over the bigger ones:

Then cross multiply to get 1344-42x = 6x
Add 42x to both sides to isolate the x changing the equation to 13444 = 48x
Divide both sides by 48 to get x = 28
Calculate the slope:
m = y2-y1 / x2-x1
m = 4-3 / 4-2
m = 1/2
Now, y-y1 = m(x- x1)
y - 3 = 1/2(x - 2)
y - 3 = 1/2x - 1
y = 1/2x + 2
In short, Your Answer would be: Option A
Hope this helps!
Answer:
x = -1, 19
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Factoring
- Multiple Roots
- Completing the Square: -b/(2a)
Step-by-step explanation:
<u>Step 1: Define</u>
2x² - 20x = x² - 19
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Subtraction Property of Equality] Subtract x² on both sides: x² - 20x = -19
- Complete the Square [Addition Property of Equality]: x² - 20x + 100 = -19 + 100
- [Complete the Square] Simplify: (x - 10)² = 81
- [Equality Property] Square root both sides: x - 10 = ±9
- [Addition Property of Equality] Add 10 on both sides: x = 10 ± 9
- Evaluate: x = -1, 19
Answer:
The x-intercept will tell you how many seconds have passed before Dante lost sight of the rock.
Step-by-step explanation:
The problem specifies that the function d(s) will model the depth in feet of a rock that Dante dropped into a lake s seconds after he lost sight of the rock.
In this case we are using an s instead of the x, so the x-intercept will represent a given time. We can find the x-intercept by setting the function equal to zero, like this:
-5s-15=0
when solving for s we get:


s=-3
This means that Dante dropped the ball into a lake 3 seconds before he lost sight of the rock. This is what the negative stands for, some time in the past.
So the x-intercept tells us the time it took for Dante to lost sight of the rock.