The height is 24.
We can use Pythagorean’s Theorem: a^2+b^2=c^2
substituting values we get:
a^2+7^2=25^2
Solving we get:
a^2+49=625
a^2=576
a=24.
So the height is 24.
Hope this helps!
Essentially when people ask you find the solution to system of equation, there asking at what x value do these to graphs intersect. The easiest way to do this is to get a graphing calculator, or desmos and type in the equation and find where they intersect. Heck, even the question says to solve it with a graph, but I'll demonstrate it algebraically.
One way you can do this is set the equation equal to each other. This is because you want to know at what x-value has the same y-value. So we get:
x^2 + 6x + 8 = x + 4
We can then combine like terms, or move everything to one side. So we get:
x^2 + 5x + 4 = 0.
Then we can use the quadratic formula to solve for x.
x=(-5 +/- sqrt(5^2 - 4(1)(4)))/(2(1)
This simplifies into:
(-5 +/- 3)/2
Finally we add and subtract:
(-5 + 3)/2 = x = -1
(-5 - 3)/2 = x = -4
And our solution is x = -1, x = -4
Answer:
<em><u>1.c</u></em>
<em><u>2.b</u></em>
<em><u>3.a</u></em>
<em><u>4.d</u></em>
<em><u>5.c</u></em>
Step-by-step explanation:
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The second choice is correct, but I believe that either its +1/3 ( in the question) or -3y as that will give you the answer of: y=1/3x+6
Answer:
5,-1,-7
Step-by-step explanation:
