Answer:
x=−5
Step-by-step explanation:
Subtract 2525 from both sides of the equation.
x2+10x=−25x2+10x=-25
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of bb.
(b2)2=(5)2(b2)2=(5)2
Add the term to each side of the equation.
x2+10x+(5)2=−25+(5)2x2+10x+(5)2=-25+(5)2
Simplify the equation.
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Raise 55 to the power of 22.
x2+10x+25=−25+(5)2x2+10x+25=-25+(5)2
Simplify −25+(5)2-25+(5)2.
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x2+10x+25=0x2+10x+25=0
Factor the perfect trinomial square into (x+5)2(x+5)2.
(x+5)2=0(x+5)2=0
Set x+5x+5 equal to 00 and solve for xx.
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Set the factor equal to 00.
x+5=0x+5=0
Subtract 55 from both sides of the equation.
x=−5
Since you're told c is the independent varialbe, you need to solve your equation for p:
6c = 2p - 10
6c + 10 = 2p
3c + 5 = p
Now you need to use function notation. Remember that in function notation, you need to use the variable consistently.
f(p) = something with c doesn't match up.
You need
f(c) = something with c in it
Even without doing the first initial work, the only answer that makes c the independent variable is <u>Answer B</u>. But it's also good that <u>Answer B</u> matches our equation above.
Answer:
10.5 cm
Step-by-step explanation:
A line segment is defined as a part of a line. It is a straight line having two end points. The only difference between a line and line segment is that a line is continuous with indefinite length whereas a line segment has a definite length to it between the two points.
In the figure, the length of the line segment is 10.5 cm (rounded to the nearest tenth).
The answer is 1000.
Hope it helped.
Answer:
10 inches by 4 inches
Step-by-step explanation:
Area of envelope, A = 40 in²
Perimeter of envelope, P = 28 in
Area = Length * width, L*W
Perimeter = 2(L + W)
40 = LW - - - (1)
28 = 2(L+W)
28/2 = L+W
14 = L+W - - - (2)
Solving like a quadratic equation ;
We need two numbers whose sum gives 14 and product gives 40
The numbers are 10 and 4
(10*4) = 40 and (10+4) = 14