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Setler79 [48]
3 years ago
6

Choose an equivalent system of equations to the following system:

Mathematics
2 answers:
Alinara [238K]3 years ago
5 0

Answer: B.  6Fx + 6Gy = 6H

                     Qx + Ry = S

andrezito [222]3 years ago
3 0

Answer:

B.  6Fx + 6Gy = 6H

    Qx + Ry = S

Step-by-step explanation:

Equivalent equations can be created many ways. One of the simplest is to multiply both sides of the equation by the same number. In the answer above, the first equation has been multiplied by 6. Nothing has been done to the second equation.

_____

<em>Comments on other choices</em>

A: some terms have been multiplied by 6. This changes the equation(s) so they are no longer equivalent to the ones you started with.

B: the correct choice

C: see A.

D: the first equation has been multiplied by 6, so that is equivalent to the original. The second equation has the sign of one of the terms changed, so it is now a different equation.

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ind the length of the longest side of the rectangle whose vertices are given. A(2, 1), B(5, 4), C(0, 3), D(3, 6) 2 rad2 3 rad2 r
trasher [3.6K]

Distance between A and B  

= Distance between C and D  

= sqrt((4 - 1)^2 + (5 - 2)^2)  

= sqrt(3^2 + 3^2)  

= sqrt(2 * 3^2)  

= sqrt(3^2) * sqrt(2)  

= 3sqrt(2)  

Distance between B and C  

= Distance between A and D  

= sqrt((4 - 3)^2 + (5 - 0)^2)  

= sqrt(1^2 + 5^2)  

= sqrt(26)  

Since sqrt(26) is more than 3sqrt(2), the length must be sqrt(26).

Hope this helps you.

5 0
3 years ago
Calculate the distance between the points -11 and 4 on a number<br> line.
krek1111 [17]

Answer:

15, d

Step-by-step explanation:

The absolute value of |-11| + |4| is 11+4 which is 15

5 0
2 years ago
Urgent please help quick!!!
Radda [10]

Answer:

x=-1\\y=-1

Step-by-step explanation:

5x+5y=-10\\3x-7y=4

Let's solve the first equation for either x or y. I'll do it for x.

5x+5y=-10

Begin by subtracting 5y.

5x=-5y-10

Now divide by 5.

x=\frac{-5y}{5}-\frac{10}{5}

Simplify:

x=-y-2

Now substitute x in the second equation for this value.

3x-7y=4\\3(-y-2)-7y=4

Distribute;

-3y-6-7y=4

Add 6

-3y-7y=4+6

Combine like terms;

-10y=10

Divide by -10.

y=\frac{10}{-10}\\ y=-1

-----------------------------------------------------------------------------------------------------------

Take this value of y and replace it in the first equation to find the value of x.

5x+5y=-10\\5x+5(-1)=-10\\5x-5=-10\\5x=-10+5\\5x=-5\\x=\frac{-5}{5}\\ x=-1

5 0
3 years ago
Convert into percentages 7/25
LekaFEV [45]

Answer:

28%

Step-by-step explanation:

<u>Divide the numerator by the denominator in order to convert this fraction into a decimal.</u>

7/25 = 0.28

<u>Multiply the decimal by 100 to convert into a whole number.</u>

.28 * 100 = 28

<u>7/25 converted into a percent is 28%.</u>

8 0
3 years ago
A restaurant had 82.4 pounds of meat, then they ate 5.5 pounds of it, how much is left
zheka24 [161]

Answer:76.9 pounds

Step-by-step explanation: you subtract 5.5 pounds from the 82.4 pounds to get your answer

5 0
3 years ago
Read 2 more answers
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