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3 years ago

How do I solve this equation and check the solutions?

Mathematics

1 answer:

bearhunter [10]3 years ago

5 0

Answer:

{-6}

Step-by-step explanation:

Step 1 Raise both sides of the equation to the index of the radical in the case 2

$(\sqrt{2x+13} )^{2} =(x+7)^{2}$

$2x + 13 = (x+7)(x+7)$

$2x +13 = x^{2} + 14x + 49\\0=x^{2} +12x+36$

Step 2 Factor

(x + 6)(x + 6) = 0

x + 6 = 0

x = - 6

Step 3 Check -6

$\sqrt{2(-6)+13} = -6 + 7\\\sqrt{-12+13} = 1\\\sqrt{1} = 1\\1 = 1$

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$265 worth of tickets were sold Adult tickets cost $6 Child tickets cost $2.50 • 57 tickets were sold. How many adult tickets we

BARSIC [14]

Answer:

35 adult tickets were sold

Step-by-step explanation:

If 35 adult tickets were sold, that would be $210

If 22 child tickets were sold, that would be $55

When you add them together, you get 57 tickets and $265.

(I'm sorry I don't know how to explain this but I hope it helped anyway)

5 0

3 years ago

Please help !!!!!! <br><br> -2x - 5 = -11

Anna35 [415]

Answer:

x=3

Step-by-step explanation:

So -11 + 5 = -6, not -16.

Then divide -6 and -2x by -2 and x=3

6 0

3 years ago

When it is 4:00 a.m. in Halifax, it is 1:00 p.m. in Karachi, and when it is 9:00 a.m. in Karachi, it is 5:00 a.m. in Warsaw. Mar

aleksandrvk [35]

Answer:

b. 13 hour, 20 min

Step-by-step explanation:

When it is 4:00 a.m. in Halifax, it is 1:00 p.m. in Karachi, this means Karachi is 9 hour ahead of Halifax.

When it is 9:00 a.m. in Karachi, it is 5:00 a.m. in Warsaw, this means that Warsaw is 4 hours behind Karachi.

She arrived to Karachi at 3:00 pm, Tuesday. Local time. When is 3:00 pm in Karachi is 11:00 am in Warsaw.

The difference between 9:40 am, Monday and 11:00 am, Tuesday, both in Warsaw local time is 13 hour 20 min.

4 0

3 years ago

Can anyone help me find the coordinates (?,?) given that the shape is a parallelogram? (15 points)

xxTIMURxx [149]

The missing coordinates of the parallelogram is (m + h, n).

Solution:

Diagonals of the parallelogram bisect each other.

Solve using mid-point formula:

$$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )$

Here $x_1=m, y_1=n, x_2=h, y_2=0$

$$=\left( \frac{m+h}{2}, \frac{n+0}{2}\right )$

$$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n}{2}\right )$

<u>To find the missing coordinate:</u>

Let the missing coordinates by x and y.

Here $x_1=0, y_1=0, x_2=x, y_2=y$

$$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{x}{2}, \frac{y}{2}\right )$

Now equate the x-coordinate.

$$ \frac{m+h}{2}=\frac{x}{2}$

Multiply by 2 on both sides of the equation, we get

m + h = x

x = m + h

Now equate the y-coordinate.

$$\frac{n}{2} = \frac{y}{2}$

Multiply by 2 on both sides of the equation, we get

n = y

y = n

Hence the missing coordinates of the parallelogram is (m + h, n).

5 0

3 years ago

Jenny wants to rent struck for one day she contacted two companies Laguna truck rentals charges $20 plus $2 per mile. Salvatore

Aleks04 [339]

Ok so lets work our way up to see when the price will be the same so..luguna charges $20 plus $2 per mile and Salvatore cost 3 per mile so..

20+2=22+2=24+2=26+2=28+2=30+2=32+2=34+2=36+2=38+2=40+2=42+2=44+2=46+2=48+2=50+2=52+2=54+2

3+3=6+3=9+3=12+3=15+3=18+3=21+3=24+3=27+3=30+3=33+3+36+3=39+3=42+3=45+3+48+3=51+3=54 so it would take 18 miles hope this helped

3 0

3 years ago