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Orlov [11]
2 years ago
13

Solve the following quadratic by completing the square.

Mathematics
1 answer:
lianna [129]2 years ago
4 0

Answer:

x  = -5 \pm  \sqrt{26}

Step-by-step explanation:

x^2+10x-1=0\\\\\implies x^2+2\cdot 5 x +5^2-5^2-1=0\\\\\implies (x+5)^2-25-1=0\\\\\implies (x+5)^2 -26=0\\\\\implies (x+5)^2 = 26\\\\\implies x +5 = \pm\sqrt{26}\\\\\implies x  = -5 \pm  \sqrt{26}

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PLS HELP
aleksley [76]

The volume of the given rectangular prism is option C. 24 un^{3}.

Step-by-step explanation:

Step 1:

The dimensions of the given rectangular prism are 4 units × 3 units × 2 units.

So we take the length equals 4 units, the width is equal to 3 units and the height is 2 units.

Step 2:

The volume of this rectangular prism is calculated by multiplying the given prism's length, its width, and its height.

The Volume of the given rectangular prism = ( Length)  (Width) (Height) = (4units)  (3units)  (2 units) = 24 unit^{3} .

So the given right rectangular prism's volume is 24 unit^{3} which is option C.

8 0
3 years ago
Audryn added a $12 tip to a $68.73 restaurant bill. What percent tip did she leave? Round to the nearest tenth of a percent.
Elena L [17]
What percent of $68.73 is $12? We can find out what we have to multiply to $68.73 to get $12. We can substitute this with "x". So then, our equation becomes 68.73x = 12. From there, you just do basic algebra. 

You should get <span>17.4596246% which can then be rounded down to 17% depending on which place you're rounding it by.</span>
5 0
4 years ago
A class of girls to boys is 5:3. If there are 9 boys, how many girls are in this class
Wewaii [24]

Answer:

15 girls

Step-by-step explanation:

Girls  : Boys

5              3

To get to 9 boys multiply by 3

Girls  : Boys

5*3         3*3

15               9

There are 15 girls

5 0
3 years ago
At the malt shop a large chocolate shake takes 8/9 of a pint of milk.If the medium shake takes 1/7 the amount of the large how m
omeli [17]
There are several information's of immense importance in the problem. Based on these information's the answer to the question can be easily reached. The only thing that has to be kept in mind is the calculation part, otherwise it is a simple problem.
Now it is given that:
A large chocolate shake takes 8/9 of a pint of milk.
Then
Amount of milk required to make medium shake = (8/9) * (1/7) of a pint
                                                                              = 8/63 of a pint
Then it can be said that for making a medium chocolate shake , 8/63 of a pint of milk is required. This is the simplest form of the fraction and it cannot be expressed as a mixed number since the denominator is higher than the numerator.
8 0
4 years ago
Together dien and jane eat 2/3 a pizza in 4 seconds. how long would it take each of them to eat the whole pizza alone if jane ca
algol13

Answer:

10 secs for Jane and Dien is 15 secs

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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