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san4es73 [151]
3 years ago
15

Solve using square root method

Mathematics
1 answer:
avanturin [10]3 years ago
6 0
\frac{1}{2}(x+5)^2 + 9 = -15

\frac{(x+5)^2+18}{2} =  \frac{-30}{2}

Cancel out the denominators.

(x+5)² + 18 = -30

(x+5)² = -30 - 18

(x+5)² = -48

The equation is impossible, we have a negative number.

There isn't a number that squared gives a negative number (the square is always positive).

√(x+5)² = +/- √-48

x+5 = +/- √-48

IMPOSSIBLE

You can write the result in imaginary numbers

x+5=+/- 4i√3
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Jackson has 1 cup of butter. If he wants to use all the butter, how many batches of brownies can he make?
nikdorinn [45]

Answer:

C

Step-by-step explanation:

3 0
3 years ago
A 10-foot ladder is leaning against a wall. The base of the ladder is 2 feet from the base of the building. How far up the build
Svetlanka [38]
We can see on this graph that the triangle has legs of x and 6 with a hypotenuse of 10 and we can use Pythagoreans theorem to find the unknown side.
Pythagoreans theorem: a^2+b^2=c^2, where a and b are the legs of the triangle and c, is the hypotenuse 

x^2+6^2=10^2 Plugin a=x, b=6, and c=10. Now let us solve for x 

x^2+36=100 Square each individual term 

x^2+=100+36 Subtract 36 from both sides 

x^2=64 Combine like terms 

sqrt(2)=sqrt(64) Take the square root of both sides 

x = 8 Simplify the square root 

So our answer is x = 8 
The ladder touches the 8 feet mark on the wall.
5 0
3 years ago
A rectangle has 3 square feet and width 1/2 foot. What is the length of the rectangle
Yakvenalex [24]

Answer:

We Know, Area = Length * Width

Here, A = 3

W = 1/2

Substitute it into the expression,

3 = L * 1/2

L = 3/ 1/2

L = 3/2 ft²

So, the length of the rectangle would be 3/2 ft²

<u>Hope this helps! :)</u>

<u></u>

8 0
3 years ago
7. The bottom of a circular swimming pool
mote1985 [20]
<h2>Hello!</h2>

The answer is:

1017.88 square feet are blue.

<h2>Why?</h2>

To calculate how many square feet are blue, we need to calculate the area of the bottom of the circular swimming pool.

We need to remember that we can calculate the area of any circle using the following formula:

Area_{circle}=\pi radius^{2}

Now, we know that the diameter of the bottom is equal to 36 feet, so, we can calculate the radius of the bottom using the following formula:

diameter=2radius\\\\radius=\frac{diameter}{2}

So,

radius=\frac{36feet}{2}=18feet

Then, calculating the area we have:

Area_{bottom}=\pi radius^{2}=\pi 18ft^{2}=1017.88ft^{2}

Hence, we have that 1017.88 square feet are blue.

Have a nice day!

4 0
3 years ago
Can someone help me find what to do
finlep [7]
An example would be:
Standard:12345678
Expanded: 10000000+2000000+300000+40000+5000+600+70+8
Word: twelve million three hundred forty-five thousand six hundred seventy-eight
5 0
3 years ago
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