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qwelly [4]
3 years ago
13

When solving an equation in the form by taking square roots, how many solutions will there be?

Mathematics
2 answers:
harina [27]3 years ago
6 0

Answer:

Two

Step-by-step explanation:

When you solving square equation, you will have two solutions.

Here we are given ax^2 = c

We have to solve for x.

Divide both sides by a, we get

\frac{ax^2}{a} = \frac{a}{c}

Simplifying, we get

x^2 = \frac{a}{c}

In order to find the value of x, we need to get rid of square on the left side, so we need to take the square root on both sides, we get

\sqrt{x^2} = \sqrt{\frac{a}{c} }

x = ±\sqrt{\frac{a}{c} }

So you will have a positive number and a negative number.

Therefore, there are two solutions.

ss7ja [257]3 years ago
3 0
Normally two. However, one is often extraneous. 
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One cubic meter of water weighs approximately 2200 pounds. There are 100 cm in one meter. If you have a box-shaped fish tank tha
Diano4ka-milaya [45]

Answer:

158.4 pounds

Step-by-step explanation:

first find the volume of the tank

V = 30 \times 30 \times 80

V = 72000 cm^3

to convert this to m^3 we know that 1m = 100cm

V = 72000 cm^3 \times \left(\dfrac{1\,\text{m}}{100\,\text{cm}}\right)^3

V = 72000 cm^3 \times \left(\dfrac{1\,\text{m}^3}{100^3\,\text{cm}^3}\right)

the cm^3 cancel out.

V = \dfrac{72000}{100^3} m^3

V = 0.072\,m^3

by simply converting the side-lengths to meters beforehand can give you this answer directly:

V = 0.3 \times 0.3 \times 0.8 = 0.072 m^3

it is given that 1 meter cube of water weighs about 2200 pounds.

1\,m^3 = 2200 \,\text{lb}

multiply both sides with 0.072 to find our answer:

1\,m^3 \times 0.072 = 2200 \times 0.072 \,\text{lb}

0.072\,m^3 = 158.4 \,\text{lb}

hence the weight of the water in the tank would be 158.4 pounds!

3 0
3 years ago
How to do this question plz answer ​
ANEK [815]

9514 1404 393

Answer:

  more than half are being used

Step-by-step explanation:

Perhaps easiest to understand is the most straightforward: figure the total number of seats and the number of seats being used. Check to see if that is more than half.

The 1 first-class carriage has usage of ...

  (3/8)(64 seats) = 24 seats.

The 6 standard carriages have usage of ...

  (7/13)(6 · 78 seats) = 252 seats.

The total number of seats used is ...

  24 + 252 = 276 . . . . seats used

__

The total number of seats on the train is ...

  1·64 +6·78 = 532 . . . . seats on the train

Half of the seats on the train will be ...

  532/2 = 266 seats . . . . half the seats

The 276 used seats are more than half of the total number. More than half the seats are being used.

_____

<em>Alternate solution</em>

Another way to look at this is to compare utilization to 1/2 in each carriage class.

  In first class 1/2 -3/8 = 1/8 of 64 seats = 8 seats fewer than 1/2 the seats are being used.

  In standard class, 7/13 -1/2 = 14/26 -13/26 = 1/26 of 78 seats = 3 seats more than 1/2 the seats are being used. There are 6 standard class carriages, so 6·3 = 18 more than half the seats in the standard-class carriages are being used.

This number is 10 more than the 8 under-utilized seats in first class, so <em>more than half the train seats are being used</em>.

8 0
2 years ago
Which expression is equivalent to 9a + 12?
Veronika [31]

Answer:

3(3a+4)

Step-by-step explanation:

3(3a+4)

use distributive property

9a+12

4 0
2 years ago
Read 2 more answers
A ball is rolling in a circular path that has a radius of 10 inches as shown in
elena55 [62]
The complete question in the attached figure

we know that
[circumference]=2*pi*r
for r=10 in
[circumference]=2*pi*10-----> 62.8 in

if 360° (full circle) has a length of --------> 62.8 in

 54°------------------------------> X
x=54*62.8/360-----> x=9.42 in

the answer is 9.42 in

5 0
3 years ago
Find the coordinates of the midpoint of the segment with endpoints A(-5, 6) and B(3, 2). You must show all work in order to rece
OLga [1]
Midpoint Formula = M = ( \frac{ x_{1}+x_{2}}{2}) + ( \frac{ y_{1} + y_{2}} {2})

We are given the coordinates: A(-5,6) and B(3,2)
Plug the values into the equation to get:
M = ((3 - 5)/2, (2 + 6)/2)
Now, just solve it down to get M = (-1,4).

The midpoint of the segment with endpoints A(-5,6) and B (3,2) is (-1,4). Hope this helps ALot and have a wonderful day!
4 0
3 years ago
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