The image of PQR is shown in the diagram below
The image of R is (6, -3)
Answer:
54
Step-by-step explanation:
12+(8)4-6
12+48-6
60-6
54
Inequalities are used to represent unequal expressions
The solution to the inequality is: ![x > -3](https://tex.z-dn.net/?f=x%20%3E%20-3)
<h3>How to determine the inequality solution</h3>
The inequality is given as:
60>5(6-2x)
Rewrite the inequality properly as:
![60>5(6-2x)](https://tex.z-dn.net/?f=60%3E5%286-2x%29)
Divide both sides of the inequality by 5
![12>6-2x](https://tex.z-dn.net/?f=12%3E6-2x)
Subtract 6 from both sides of the inequality
![6>-2x](https://tex.z-dn.net/?f=6%3E-2x)
Divide both sides of the inequality by -2
![-3Rewrite the inequality as[tex]x > -3](https://tex.z-dn.net/?f=-3%3C%2Fp%3E%3Cp%3ERewrite%20the%20%3Cstrong%3Einequality%3C%2Fstrong%3E%20as%3C%2Fp%3E%3Cp%3E%5Btex%5Dx%20%3E%20-3)
Hence, the solution to the inequality is: ![x > -3](https://tex.z-dn.net/?f=x%20%3E%20-3)
Read more about inequalities at:
brainly.com/question/11234618
Answer:
see below
Step-by-step explanation:
A spreadsheet or graphing calculator can do this for you.
Answer:
The numbers are 12 and 14 ONLY
Step-by-step explanation:
To find the answer, set up an equation.
Set
x
equal to the lower number, and
x
+
2
as the higher number since they are consecutive even numbers so they are two apart.
Now write out the equation according to the question
(
x
)
2
+
(
x
+
2
)
2
=
340
x
2
+
x
2
+
4
x
+
4
=
340
Combine like terms.
2
x
2
+
4
x
+
4
=
340
Set equal to zero so you can factor.
2
x
2
+
4
x
−
336
=
0
(
2
x
+
28
)
(
x
−
12
)
=
0
x
=
−
14
,
12
x
=
12
because the answer must be positive according to the question.
That means
x
+
2
is 14.
You can double check:
(
12
)
2
+
(
14
)
2
=
340
144
+
196
=
340
340
=
340