I think you mean to say

. If

is in the third quadrant, then

and

. Recall that

We expect

to be negative, so we take the negative root. We end up with

We also know to expect

, so

By definition, we have

and so
Answer:
a = 5
Step-by-step explanation:
According to the factor theorem, if x + 2 is a factor, then by dividing the polynomial by the binomial, we are meant not to have a remainder
In this case, the remainder would be zero
So, if we set the binomial equals zero and substitute the x-value into the polynomial, we are supposed to have 0
So we have this as;
x + 2 = 0
x = -2
-2^3 -2(-2)^2 -2(a) + 6 = 0
-8-8-2a + 6 = 0
-16 + 2a + 6 = 0
2a -10 = 0
2a = 10
a = 10/2
a = 5
Answer:
First picture - 20.42 m
Second picture - 12.9 m
Step-by-step explanation:
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Formula for pyramid:

Where,
b = base - 3.5 m
h = height - 5 m
Thus,

≈ 
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Formula for pyramid:

Where,
b = base - 3 m
h = height - 4.3 m
Thus,


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<u><em>Kavinsky</em></u>
Answer:
Width = 4 m
Length = 7 m
Step-by-step explanation:
given:
perimeter of a rectangle = 22m
L = 3 + W
perimeter = 2L + 2W
perimeter = 2 (3 + W) + 2W
22 = 6 + 2W + 2W
22 - 6 = 4W
W = 16 / 4
W = 4 m
L = 3 + W
L = 3 + 4
L = 7 m
check:
perimeter = 2L + 2W
22 = 2(7) + 2(4)
22 = 14 + 8
22 = 22 ---- OK
Answer:
answer is second one
Step-by-step explanation:
The length is between 11 and 12 inches.
√140 = 11.83 inches