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ozzi
2 years ago
9

3. How many solutions does the equation have?

Mathematics
1 answer:
Pepsi [2]2 years ago
3 0
An infinite number of solutions since the right side is equal the left side for every value of x.
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Vince has a rectangular rug in his room with an area of 10 ft the length of the rug is 18 inches longer than the width what coul
aev [14]

The length of the rug is 4 ft.

The width of the rug is 2.5 ft.

Explanation:

The area of the rug is 10 ft.

The length of the rug be l.

Let us convert the inches to feet.

Thus, 18 inches =  1.5 ft

Thus, the length of the rug is l=1.5+w

Let the width of the rug be w.

Substituting these values in the formula of area of the rectangle, we get,

A=length\times width

10=(1.5+w)(w)\\10=1.5w+w^2\\w^2+1.5w-10=0

Solving the expression using the quadratic formula,

$w=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Substituting the values, we have,

$w=\frac{-15 \pm \sqrt{15^{2}-4 \cdot 10(-100)}}{2 \cdot 10}\\

$w=\frac{-15 \pm \sqrt{4225}}{20}$

$w=\frac{-15 \pm 65}{2 0}$

Thus,

w=\frac{-15 + 65}{2 0}\\w=\frac{50}{20} \\w=2.5  and   w=\frac{-15 - 65}{2 0}\\w=\frac{-80}{20} \\w=-4

Since, the value of w cannot be negative, the value of w is 2.5ft

Thus, the width of the rug is 2.5ft

Substituting w=2.5 in l=1.5+w, we get,

l=1.5+2.5\\l=4

Thus, the length of the rug is 4 ft.

4 0
3 years ago
8/1 ÷ 1/4 what's the result?
jonny [76]
The correct answer is 32
3 0
3 years ago
Read 2 more answers
There is a photo attached<br><br>tan 270 is incorrect!
wlad13 [49]

\dfrac{1-\cos135^\circ}{\sin135^\circ}=\dfrac{1-\left(\cos^2 67.5^\circ-\sin^2 67.5^\circ\right)}{2\sin67.5^\circ\cos67.5^\circ}=\dfrac{1-\left(1-\sin^2 67.5^\circ-\sin^2 67.5^\circ\right)}{2\sin67.5^\circ\cos67.5^\circ}=\medskip\\=\dfrac{2\sin^2 67.5^\circ}{2\sin67.5^\circ\cos67.5^\circ}=\dfrac{\sin 67.5^\circ}{\cos 67.5^\circ}=\tan 67.5^\circ

3 0
3 years ago
What number should Rihanna use for the height of the parallelogram if she uses 28 inches for the base
astraxan [27]

Answer:

Height = 7in

Step-by-step explanation:

Given

See attachment for parallelogram

Base = 28in

Required

What is the height?

The opposite sides of a parallelogram are equal and the height is the distance between the parallel sides.

From the question, we have:

Base = 28in

Also from the question, the difference between the two parallel sides is 7in.

<em>Hence, the height of the parallelogram in 7in</em>

6 0
3 years ago
Why cant 7 be a remainder in 6499 divided by 7
Sphinxa [80]

Answer:

It would be a decimal not a remainder :)

Step-by-step explanation:

4 0
3 years ago
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