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4 years ago

Which point lies on a side of rstu

Mathematics

1 answer:

Oksi-84 [34.3K]4 years ago

7 0

What do you mean by that

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Solve for x x+29=-11

netineya [11]

Answer:

x= -40

Step-by-step explanation:

x+29=-11

Subtract 29 from each side

x+29-29 = -11-29

x =-40

6 0

4 years ago

Read 2 more answers

A rectangle has the length of 22 inches less than 7 times the width. If the area of the rectangle is 3197 square inches, find th

Nikolay [14]

The length of rectangle is 139 inches

Solution:

Given that, area of the rectangle is 3197 square inches

Let "L" be the length of rectangle and "W" be the width of rectangle

Also given that rectangle has the length of 22 inches less than 7 times the width

Length = 7 times width - 22

L = 7W - 22

<em><u>The area of rectangle is given as:</u></em>

$\text {Area of rectangle }=\text { length } \times \text { width }$

Substituting the values we get,

$\begin{array}{l}{3197=(7 W-22)(W)} \\\\ {3197=7 W^{2}-22 W} \\\\ {7 W^{2}-22 W-3197=0}\end{array}$

On solving the above quadratic equation using quadratic formula,

$\text {For the quadratic equation } a x^{2}+b x+c=0 \text { where } a \neq 0$

$x=\frac{-b \pm \sqrt{\left(b^{2}-4 a c\right)}}{2 a}$

$\begin{array}{l}{\text {Here in } 7 \mathrm{W}^{2}-22 \mathrm{W}-3197=0} \\\\ {a=7 ; b=-22 ; c=-3197}\end{array}$

Substituting in above quadratic formula,

$\begin{array}{l}{W=\frac{-(-22) \pm \sqrt{\left((-22)^{2}-4(7)(-3197)\right)}}{2 \times 7}} \\\\ {W=\frac{22 \pm \sqrt{90000}}{14}=\frac{22 \pm 300}{14}} \\\\ {W=\frac{22+300}{14} \text { or } W=\frac{22-300}{14}} \\\\ {W=23 \text { or } W=-19.85}\end{array}$

Since width of rectangle cannot be negative, ignore negative value of "W"

So width W = 23 inches

Length L = 7W - 22 = 7(23) - 22 = 139 inches

Thus length of rectangle is 139 inches

8 0

4 years ago

Please answer the question to the best of your ability :)

Dafna1 [17]

Answer:

Step-by-step explanation:

the HCF of 8 and 12 is 4 and then you take the smallest number of x, y and z's

they both have 1 x, the first one only has one y and they both have z^2

6 0

3 years ago

Can anyone answer this please I really need help!

Vlad1618 [11]

Answer:

1230.88

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

V = (3.14) * (7)^2 * 8

V = 3.14 * 49*8

V =1230.88

3 0

3 years ago

A car can travel 56 miles on 4 gallons of gas. How far can the car travel on 20 gallons of gas?

KengaRu [80]

I think the answer is 280

4 0

3 years ago

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