Answer:
The graph option where the y-axis is intercepted at y = -2.5 by the line of the graph.
Step-by-step explanation:
The answer choices for the possible graphs that have the same y-intercept as the graph of 10x - 16y = 40 is missing here.
However, the answer can still be explained here.
We can figure out how the graph would look like.
First, understand that the y-intercept of a graph is the value of y, of the point where the line intercepts the y-axis.
Let's figure out what the y-intercept is given a graph represented by the equation, 10x - 16y = 40.
Rewrite the equation in slope-intercept form.
10x - 16y = 40
-16y = -10x + 40
y = -10x/-16 + 40/-16
y = ⅝x - ⁵/2
Therefore, the y-intercept of the graph of 10x - 16y = 40 is -⁵/2 or -2.5.
✅The graph shows a line with the same y-intercept as the graph of 10x - 16y = 40, would have it's y-axis intercepted at y = -2.5.
If this is your equation:

Solution:
LCD for 5 and 5x is 5x




←cross product
20x + 30 = 5x² + 25x ←simplify with distributive property
0 = 5x² + 5x - 30 ←use inverse operations to collect all terms on one side
0 = x² + x - 6 ←if possible divide by numerical GCF (This case 5)
0 = (x + 3)(x - 2) ←Factor
x = -3 or x = 2
Please check by substitution in original equation... Both work
n > 9 would be the answer
Answer:
The length of the pool is 28 meters and the width of the pool is 10.5 meters.
Step-by-step explanation:
In the scale drawing of Joe, the community pool has (length : width) = 8 : 3
Let the actual length of the pool is 8x meters and the actual width is 3x meters.
Now, given that the actual pool has a perimeter of 77 meters.
So, 2(8x + 3x) = 77
⇒ 22x = 77
⇒ x = 3.5
So, the length of the pool is 8x = 8(3.5) = 28 meters and the width of the pool is 3x = 3(3.5) = 10.5 meters. (Answer)
The answer to this question has to be 8