<span>The <u>correct answers</u> are:
x=-3 and x=-8.
Explanation<span>:
We can first write this in standard form, ax</span></span>²<span><span>+bx+c=0. To do this, we will add 11x to both sides:
x</span></span>²<span><span>+24+11x=-11x+11x
x</span></span>²<span><span>+11x+24=0.
Now we can factor this. Look for factors of c, 24, that sum to b, 11. Factors of 24 are:
1 and 24 (sum 25)
2 and 12 (sum 14)
3 and 8 (sum 11)
4 and 6 (sum 10).
The factors we need are 3 and 8, since they sum to 11. This gives us factored form:
(x+3)(x+8)=0.
Using the zero product property, we know that in order to have a product of 0, one or both of the factors must be 0. This means we have:
x+3=0 or x+8=0.
Solving the first equation:
x+3-3=0-3
x=-3.
Solving the second equation:
x+8-8=0-8
x=-8.</span></span>
Answer:
137.5 in^2
Step-by-step explanation:
So, this is basically a rectangle and two right-sides triangles.
First the rectangle: Formula is A=wl
Replace the Values: A = 14*7 98 in^2
Then we solve for the two right-sides triangles.
A= 1
/2a
h=
1
/4
b
^2
sin
(2
θ
)
Top trinangle= A = 25.5 in^2 (height 7 in base 7 in)
Bottom Trinagle A = 14 in^2 (height 7 in base 4 in)
Add results:
98+25.5+14 = 137.5 in^2
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Answer:
2975
Step-by-step explanation:
15 percent of 3500 is 525, so 3500-525 is 2975
