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miss Akunina [59]
3 years ago
9

Point G ( -7,4 ) is translated using the rule (x + 10, y -6) What is the x-coordinate of G

Mathematics
2 answers:
ch4aika [34]3 years ago
6 0

Answer: The x-coordinate is 3

Step-by-step explanation:

Given the following point:

G ( -7,4 )

You can notice that its x-coordinate is -7.

You know that the given point is translated using this rule:

(x + 10, y -6)

Therefore, in order to find the x-coordinate of G', you need to add 10 to the x-coordinate of G ( -7,4 ), Therefore, this is:

x=-7+10\\\\x=3

statuscvo [17]3 years ago
5 0

Answer:

<h2>(3, -2)</h2>

Step-by-step explanation:

G(-7,\ 4)\to x=-7,\ y=4\\\\\text{the rule}\ (x+10,\ y-6)\\\\\text{substitute}\\\\x+10=-7+10=3\\y-6=4-6=-2

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Solve for z<br> 3z-5+2z=25-5z
iren [92.7K]

Answer:

z=3

Step-by-step explanation:

Add 3z and 2z

5z-5=25-5z

Add 5z on both sides to eliminate the -5z on the RHS

10z-5=25

Add 5 on both sides to eliminate the -5 on the LHS

10z=30

Divide by 10

z=3

Hope this helps!

3 0
3 years ago
Read 2 more answers
You are paid $82.50 for 7 1/2 hours of work, whats is your rate of pay?
ra1l [238]

Answer:

Rate of Pay is $11 per hour.

Step-by-step explanation:

Cost of 7\frac{1}{2}\:hr of work = $ 82.50

To find: Rate of pay

Here Rate of Pay means Cost of 1 hour of work or we can say cost of per hour work.

7\frac{1}{2}=\frac{7\times2+1}{2}=\frac{15}{2}

⇒ Cost of \frac{15}{2}\;hr of work = $ 82.50

Cost of 1 hr of work = \frac{82.50}{\frac{15}{2}}

                                = \frac{82.50\times2}{15}

                                = \frac{165}{15}

                                = $ 11

Therefore, Rate of Pay is $11 per hour.

5 0
3 years ago
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A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes.
mote1985 [20]

Answer:

5 large boxes

3 small boxes

Step-by-step explanation:

Create two equations to represent the problem.

let "a" be the number of small boxes

let "b" be the number of large boxes

20a + 40b = 260    This equation shows the numbers of books

a + b = 8                  This equations shows the number of boxes

Solve the system of equations (solve for a and b). We can solve using the substitution method.

Rearrange a + b = 8 to isolate one of the variables.

a = 8 - b    New equation that represents "a"

Since we know an equation for "a", we can substitute what "a" equals into the other equation. There will only be one variable in the equation, so we can solve by isolating. Isolate by doing reverse operations.

Substitute "a" for 8 - b

20a + 40b = 260

20(8 - b) + 40b = 260     Distribute 20 over the brackets by multiplying

160 - 20b + 40b = 260    Collect like terms (numbers with same variables)

160 + 20b = 260    Start isolating "b". Subtract 160 from both sides

20b = 260 - 160

20b = 100    Divide both sides by 20

b = 5    Number of large boxes

Substitute "b" for 5 in the simplest equation

a + b = 8

a + 5 = 8      Subtract 5 from both sides to isolate "a"

a = 8 - 5    

a = 3      Number of small boxes

Therefore there were 5 large boxes and 3 small boxes sent.

3 0
3 years ago
Solve the following 1-step equation for x
shtirl [24]
X/0.5 = 24
X/0.5(0.5) = 24(0.5)
X = 12
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The two interior opposite Angel's of a triangle are 60° and 80°. Find the measure of the exterior angle. ​
Vadim26 [7]

let the exterior angle be x

x=60°+80°(being one exterior angle is equal to two interior angle)

x°=140°

5 0
3 years ago
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