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3 years ago

Find f(-3) if f(x) = x^2.

Mathematics

1 answer:

Goryan [66]3 years ago

6 0

Answer:

f(-3) = 9

Step-by-step explanation:

f(x) = x²

given x = (-3)

f(-3) = (-3)² = 9

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2 years ago

Complete the equation of the line through (3,-1)(3,−1)left parenthesis, 3, comma, minus, 1, right parenthesis and (4,7)(4,7)left

Mandarinka [93]

Answer: $y=8x-25$

Step-by-step explanation:

Given

Line passes through $(3,-1)\ \text{ and}\ (4,7)$

Equation of line when it passes through two points $(x_1,y_1),(x_2,y_2)$

$\Rightarrow \dfrac{y_2-y_1}{x_2-x_1}=\dfrac{y-y_1}{x-x_1}$

Insert the values

$\Rightarrow \dfrac{7+1}{4-3}=\dfrac{y+1}{x-3}\\\\\Rightarrow \dfrac{8}{1}=\dfrac{y+1}{x-3}\\\\\Rightarrow 8x-24=y+1\\\Rightarrow y=8x-25$

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2 years ago

Simplify ( 1/2A + 1/2B )^2

zysi [14]

Notice that both A and B are multiplied by (1/2).

Thus, the given expression can be re-written as [(1/2)(A+B)]^2.

Square the (1/2) and the (A+B) separately, and then multiply together the resulting squares:

(1/4)(A^2 + 2AB + B^2)

4 0

2 years ago

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Consider the line y=1 x -1 and the point P=(2,0).

Montano1993 [528]

Answer:

Step-by-step explanation:

d(x)=√((x-2)2+(y-0)²)

=√((x-2)²+y²)

=√((x-2)²+(x-1)²)

=√(x²-4x+4+x²-2x+1)

=√(2x²-6x+5)

D=d²(x)=2x²-6x+5

$b.\\\frac{dD}{dx}=4x-6\\\frac{dD}{dx}=0,gives \\4x-6=0\\x=\frac{3}{2}\\\frac{d^2D}{dx^2}=4 >0 at x=\frac{3}{2}\\so~D~or~d^2~or~d~is~minimum~at~x=\frac{3}{2}\\so~y=1(\frac{3}{2} )-1=1/2=0.5\\so~nearest~point~is~(1.5,0.5)$

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2 years ago

Please help me... with at least 3 or 4.

EleoNora [17]

3.right angle
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2 years ago

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