Answer:
x-intercept is 24 , y-intercept is -16
Step-by-step explanation:
* Lets explain how to solve the problem
- The x-intercept is the x-coordinate of the point of intersection
between the graph of the equation and the x-axis ⇒ (x , 0)
- To find the x-intercept substitute the value of y in the equation by 0
- The y-intercept is the y-coordinate of the point of intersection
between the graph of the equation and the y-axis ⇒ (0 , y)
- To find the y-intercept substitute the value of x in the equation by 0
* Lets solve the problem
∵ 2x - 3y = 48
- To find the x-intercept substitute y by 0
∴ 2x - 3(0) = 48
∴ 2x = 48
- Divide both sides by 2
∴ x = 24
∴ The graph intersects the x-axis at point (24 , 0)
* The x-intercept is 24
∵ 2x - 3y = 48
- To find the y-intercept substitute x by 0
∴ 2(0) - 3y = 48
∴ -3y = 48
- Divide both sides by -3
∴ y = -16
∴ The graph intersects the y-axis at point (0 , -16)
* The y-intercept is -16
Answer:
52
Step-by-step explanation:
Alex earned 156 reward points for selling wrapping paper rolls.
Using the given equation
3r = 156
r = 156/3
r = 52
Alex sold 52 wrapping paper rolls
Answer:
18.02 cm
Step-by-step explanation:
A diagonal makes a rectangle into two right triangles. So if we use the Pythagorean theorem we can find the hypotenuse which is the diagonals.
Remember, because we know the length and width, we know the two sides.
10^2 + 15^2 = c^2
100+225 = c^2
325 = c^2
18.027 ≈ c
5x - 2y + 1z = 8 ⇒ 5x - 2y + 1z = 8
-9x + 2y + 2z = 5 ⇒ -9x + 2y + 2z = 5
-9x - 2y - 5z = 4 -4x + 3z = 13
5x - 2y + 1z = 8
-9x + 2y + 2z = 5 ⇒ -9x + 2y + 2z = 5
-9z - 2y - 5z = 4 ⇒ -9x - 2y - 5z = 4
-18x - 3z = 9
-4x + 3z = 13
-18x - 3z = 9
-22x = 22
-22 -22
x = -1
-18x - 3z = 9
-18(-1) - 3z = 9
18 - 3z = 9
- 18 - 18
-3z = -9
-3 -3
z = 3
5x - 2y + z = 8
5(-1) - 2y + 3 = 8
-5 - 2y + 3 = 8
-2y - 5 + 3 = 8
-2y - 2 = 8
+ 2 + 2
-2y = 10
-2 -2
y = -5
(x, y, z) = (-1, -5, 3)
