3x+x=96
(4x=96)/4
x=24
3(24)=72
Hector is 24 and his grandma is 72.
hope this helps!
<h3>
17) 5ft</h3>
In order to do this problem you must use square roots. Basically the same number multiplied twice to get your answer. In this problem, 5 * 5 = 25.
<h3>
18) 10m</h3>
Since they are asking for the square root to the nearest whole unit, we must know that the √105 lies in between 10 and 11, since 10 * 10 = 100 and 11 * 11 = 121. 105 is closer to 100 than it is to 121 and therefore the answer is 10.
Don't forget your labels!!! (Feet and meters)
I believe your answer is C
The two intersection points are (-2.79, -0.58) and (0.79, 6.58).
<h3>
How to find the points of intersection?</h3>
Here we want to solve the system of equations:
y = 2x + 5
x² + y² = 36
To solve this, we need to replace the first equation into the second one:
x² + (2x + 5)² = 36
Now we can solve this for x:
x² + 4x² + 10x + 25 = 36
5x² + 10x - 11 = 0
This is a quadratic equation, to solve it we use the general formula:

So we have two solutions for x:
x = (-10 - 17.9)/10 = -2.79
x = (-10 + 17.9)/10 = 0.79
To get the y-values of the solutions, we evaluate the linear equation in these values of x:
y = 2*(-2.79) + 5 = -0.58
y = 2*( 0.79) + 5 = 6.58
Then the two intersection points are (-2.79, -0.58) and (0.79, 6.58).
If you want to learn more about intersection points:
brainly.com/question/17206319
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