The answer is D. The easiest way to see this is by using the FOIL method.
First
Outside
Inside
Last. So the first is x2, the outside is -10x, the inside is -7x, and the last is 70. So it would be x2-17x+70
The coefficient of the squared expression is 1/9
<h3>How to determine the coefficient of the squared expression?</h3>
A parabola is represented as:
y = a(x - h)^2 + k
Where:
Vertex = (h,k)
From the question, we have:
(h,k) = (-2,-3)
(x,y) = (-5,-2)
So, the equation becomes
-2 = a(-5 + 2)^2 - 3
Add 3 to both sides
1 = a(-5 + 2)^2
Evaluate the sum
1 = a(-3)^2
This gives
1 = 9a
Divide both sides by 9
a = 1/9
Hence, the coefficient of the squared expression is 1/9
Read more about parabolas at:
brainly.com/question/4061870
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You have to find first the discriminant
∆=8^2-4*(-1) *(-7) =36
x=(-8±√36) /-2=(-8±6)/-2=4±3=1 or 7
So x(1)=1 or x(2)=7
-x^2+8x-7=[x-x(1) ][x-x(2) ]=(x-1) (x-7)
Answer:
<h2>x = 5√3 inches</h2>
Step-by-step explanation:
Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x
Using Pythagoras theorem we have
where a is the hypotenuse
Substitute the values into the above formula
The hypotenuse is 10 inches
We have
We have the final answer as
<h3>x = 5√3 inches</h3>
Hope this helps you
