Ask question

Ask question

All categories

3 years ago

12

The total length of the stage is 76 feet. If the trap doors are centered across the stage, what is the distance from the left si

de of the stage to the first trap door?
Please help me step by step :)

1 answer:

weqwewe [10]3 years ago

5 0

subtract the 26 1/2 from 76 and then divide by 2

76-26 1/2 = 49 1/2 / 2 = 24 3/4

You might be interested in

Help I need it done now

Paha777 [63]

You need to submit the question you would like for us to answer.

6 0

3 years ago

Show work please<br> \sqrt(x+12)-\sqrt(2x+1)=1

Nesterboy [21]

Answer:

$x=4$

Step-by-step explanation:

Given $\displaystyle\\\sqrt{x+12}-\sqrt{2x+1}=1$ , start by squaring both sides to work towards isolating $x$ :

$\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2$

Recall $(a-b)^2=a^2-2ab+b^2$ and $\sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b}$ :

$\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2\\\implies x+12-2\sqrt{(x+12)(2x+1)}+2x+1=1$

Isolate the radical:

$\displaystyle\\x+12-2\sqrt{(x+12)(2x+1)}+2x+1=1\\\implies -2\sqrt{(x+12)(2x+1)}=-3x-12\\\implies \sqrt{(x+12)(2x+1)}=\frac{-3x-12}{-2}$

Square both sides:

$\displaystyle\\(x+12)(2x+1)=\left(\frac{-3x-12}{-2}\right)^2$

Expand using FOIL and $(a+b)^2=a^2+2ab+b^2$ :

$\displaystyle\\2x^2+25x+12=\frac{9}{4}x^2+18x+36$

Move everything to one side to get a quadratic:

$\displaystyle-\frac{1}{4}x^2+7x-24=0$

Solving using the quadratic formula:

A quadratic in $ax^2+bx+c$ has real solutions $\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ . In $\displaystyle-\frac{1}{4}x^2+7x-24$ , assign values:

$\displaystyle \\a=-\frac{1}{4}\\b=7\\c=-24$

Solving yields:

$\displaystyle\\x=\frac{-7\pm \sqrt{7^2-4\left(-\frac{1}{4}\right)\left(-24\right)}}{2\left(-\frac{1}{4}\right)}\\\\x=\frac{-7\pm \sqrt{25}}{-\frac{1}{2}}\\\\\begin{cases}x=\frac{-7+5}{-0.5}=\frac{-2}{-0.5}=\boxed{4}\\x=\frac{-7-5}{-0.5}=\frac{-12}{-0.5}=24 \:(\text{Extraneous})\end{cases}$

Only $x=4$ works when plugged in the original equation. Therefore, $x=24$ is extraneous and the only solution is $\boxed{x=4}$

4 0

2 years ago

Tell which equation you would choose to solve for one of the variables when solving the system by substitution. 2x+3y=5 4x-y=3

PtichkaEL [24]

i would solve 4x-y =3 for y because the coefficient for y is 1

subtract 4x from each side

-y = -4x+3

divide by -1

y = 4x-3

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=%7By%7D%5E%7B2%7D%20%2B%20%5Cfrac%7B3y%7D%7B2%7D%20%3D%20%5Cfrac%7B27%7D%7B2%7D%20" id="TexFor

Grace [21]

Answer:

Solve the equation for y by finding a, b, and c

of the quadratic then applying the quadratic formula.

Exact Form:

y = 3,−9/2

Decimal Form:

y = 3,−4.5

Mixed Number Form:

y = 3,− 4 1/2

Step-by-step explanation:

branliest pls

7 0

2 years ago

Read 2 more answers

Skylar is filling a barrel with water. The graph shows the relationship between time in minutes and the gallons of water in the

lisov135 [29]

Answer:

$t>15$ will be inequality which shows the times there will be more than 10 gallons in the barrel.

Step-by-step explanation:

To determine:

Write an inequality showing the times there will be more than 10 gallons in the barrel.

Information Fetching and Solution Steps:

Skylar is filling a barrel with water.

The graph shows the relationship between time in minutes and the gallons of water in the barrel.

As the questions asks to determine the inequality showing the times there will be more than 10 gallons in the barrel.

For inequalities with 'more than', we use the 'greater than' symbol.

The graph shows that at time 15 minutes, the number of gallons of water is being shown as 10. As we have to determine the inequality for the time there will be more than 10 gallons in the barrel. So, time must be greater than 15 when there will be more than 10 gallons in the barrel.

If time is represented by 't', then the inequality showing the times there will be more than 10 gallons in the barrel will be:

$t>15$

Therefore, $t>15$ will be inequality which shows the times there will be more than 10 gallons in the barrel.

4 0

3 years ago