For this case, the first thing we must do is define a variable.
We have then:
x: unknown number
We now write the equation that models the problem:
From here, we clear the value of x.
We multiply both sides of the equation by 2:
We subtract 30 on both sides of the equation:
Answer:
The value of the unknown number is given by:
The answer is 1/16 i think. Hope this helps! :)
Answer:
Y-intercept is (0, -13)
X-intercept is at (13/5, 0)
Step-by-step explanation:
When it's in this form, y = mx + b, you automatically know what the y-intercept is (b).
So the y-intercept is (0, -13)
To algebraically find this, you'd plug in a 0 for x, since the y intercept is when it crosses the y-axis, which is located at x = 0.
To find the x intercept, you'd do the opposite of the y-intercept, which is plugging in a 0 for y and solving for x. The x-axis is located at y = 0.
0 = 5x - 13
13 = 5x
x = 13/5
The x-intercept is at (13/5, 0)
I hope this helped!
Answer:
y = -(x + 5)² + 4
Step-by-step explanation:
The roots are -3 and -7, so:
y = a (x + 3) (x + 7)
Distribute and complete the square:
y = a (x² + 10x + 21)
y = a (x² + 10x + 25 − 4)
y = a (x² + 10x + 25) − 4a
y = a (x + 5)² − 4a
The vertex is (-5, 4), so a = -1.
y = -(x + 5)² + 4
Answer:
Step-by-step explanation:
1. add the side lengths
