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3 years ago

Can someone factor 100+4x^2-16y^2-40x? The ^2 means that the number is squared.

Mathematics

1 answer:

aliya0001 [1]3 years ago

6 0

It means a nothing and a uh and nothing

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18.75 + (12.8 x 3) - 16.28

Luba_88 [7]

Answer: 40.87

Step-by-step explanation:

4 0

3 years ago

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The area of a rectangular wall of a barn is 42 square feet. Its length is 8 feet longer than twice its width. Find the length an

Furkat [3]

Answer:

The answer to your question is: length = 14 ft; width = 3 ft

Step-by-step explanation:

Data

Area = 42 ft²

length = 8 + 2w

w = width = ?

length = ?

Formula

Area = length x width = l x w

Substitution

42 = (2w + 8)w

42 = 2w² + 8w

2w² + 8w - 42 = 0

Dividing by 2

w² + 4w - 21 = 0 Factorize

(w + 7) (w - 3) = 0

w1 = -7 w2 = 3

It's not possible to have negative widths

So the answer is w = 3 ft

length = 2(3) + 8

length = 6 + 8

length = 14 ft

8 0

3 years ago

How many blocks with dimensions of One-third times 1 times 1 can fit in a unit cube?

gtnhenbr [62]

Answer: 3

Step-by-step explanation:

Given

The dimension of the small block is

$\dfrac{1}{3}\times 1\times 1$

The Volume of the cube having unit length is

$V=1\times 1\times 1\\V=1\ unit^3$

The number of blocks that can be in the unit cube is the division of the volume of the unit cube and block.

$\Rightarrow \dfrac{1\times 1\times 1}{\dfrac{1}{3}\times 1\times 1}\\\\\Rightarrow \dfrac{3}{1}=3$

7 0

3 years ago

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Given the functions f(x) = 4x2 − 1, g(x) = x2 − 8x + 5, and h(x) = –3x2 − 12x + 1, rank them from least to greatest based on the

kvasek [131]

The axis of symmetry of a quadratic function $f(x)=ax^2+bx+c$ is given by the equation $x=h$ , where h is the x-coordinate of the vertex and is equal to $\frac{-b}{2a}$ .

1.
$f(x)=4x^2-1 \\
a=4 \\ b=0 \\ \Downarrow \\
h=\frac{-0}{2 \times 4}=0 \\ \\
\hbox{the axis of symmetry:} \\
x=0$

2.
$g(x)=x^2-8x+5 \\
a=1 \\ b=-8 \\ \Downarrow \\ h=\frac{-(-8)}{2 \times 1}=\frac{8}{2}=4 \\ \\
\hbox{the axis of symmetry:} \\
x=4$

3.
$h(x)=-3x^2-12x+1 \\
a=-3 \\ b=-12 \\ \Downarrow \\ h=\frac{-(-12)}{2 \times (-3)}=\frac{12}{-6}=-2 \\ \\
\hbox{the axis of symmetry: \\
x=-2$

The functions ranked from least to greatest based on their axis of symmetry: h(x), f(x), g(x).

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3 years ago

Relative to Delhi, Mumbai and Kolkata are located opposite to each other. Name city of India which is located opposite to Bangal

Mkey [24]

Answer:

Mumbai and Kolkata are located opposite to each other. Haryana is located to opposite to Bangalore as related to Delhi.

Answer From Gauth Math

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3 years ago