Answer:
14
Step-by-step explanation: 2(4x+6)=
\,\,34-3x
34−3x
Since HJ is a midsegment, twice HJ is equal to EG.
8x+12=
8x+12=
\,\,34-3x
34−3x
Distribute.
8x+12=
8x+12=
\,\,-3x+34
−3x+34
Communicative property to change the order
\color{red}{+3x}\phantom{+12}\phantom{=}
+3x+12=
\,\,\color{red}{+3x}\phantom{+34}
+3x+34
+3x to both sides.
11x+12=
11x+12=
\,\,34
34
\phantom{11x}\color{red}{-12}\phantom{=}
11x−12=
\,\,\color{red}{-12}
−12
-12 to both sides.
11x=
11x=
\,\,22
22
\frac{11x}{11}=
11
11x
=
\,\,\frac{22}{11}
11
22
Divide both sides by 11
x=
x=
\,\,2
2
Value of x
HJ=
HJ=
\,\,4x+6
4x+6
Value of HJ
HJ=
HJ=
\,\,4(2)+6
4(2)+6
Plug in x.
HJ=
HJ=
\,\,8+6
8+6
Multiply.
HJ=
HJ=
\,\,14
14
Answer:
9
Step-by-step explanation:
-7 to positive 2 on the x axis would be nine....just count it backwards.
-7, -6, -5, -4, -3, -2, -1, 0, 1, 2 overall is nine and do not start counting from -7 or you'll get it wrong, start on the second number at all times.
9514 1404 393
Answer:
660 seconds
Step-by-step explanation:
The least common multiple of 45 seconds and 80 seconds is ...
45×80/GCF(45,80) = 45×80/5 = 720
The next change will be 720 seconds after the last one, so 720 -60 = 660 seconds from now.
_____
<em>Additional comment</em>
You can find the least common multiple by looking at the factors of 45 and 80:
The LCM will include one copy of the common factor and all of the unique factors:
LCM(45, 80) = 5×9×16 = 720
You can see that the greatest common factor is 5, and that the LCM is the product (5×9)(5×16) divided by 5:
LCM(a, b) = a×b/GCF(a, b)
<span>The answers are (-3, -2) (–1, –2) (1, –2) (1, 2).
Let's check out all of the possible solutions.
(-3, -2).
x = -3; y = -2.
y < 0.5x + 2;
-2 < 0.5 * (-3) + 2;
-2 < -1.5 + 2;
-2 < 0.5.
This is correct.
(-2, 1).
x = -2; y = 1.
y < 0.5x + 2;
1 < 0.5 * (-2) + 2;
1 < -1 + 2;
1 < -1.
This is not correct.
(-1, -2).
x = -1; y = -2.
y < 0.5x + 2;
-2 < 0.5 * (-1) + 2;
-2 < -0.5 + 2;
-2 < 1.5.
This is correct.
(-1, 2).
x = -1; y = 2.
y < 0.5x + 2;
2 < 0.5 * (-1) + 2;
2 < -0.5 + 2;
2 < 1.5.
This is not correct.
(1, -2).
x = 1; y = -2.
y < 0.5x + 2;
-2 < 0.5 * (1) + 2;
-2 < 0.5 + 2;
-2 < 2.5.
This is correct.
(1, 2).
x = 1; y = 2.
y < 0.5x + 2;
2 < 0.5 * (1) + 2;
2 < 0.5 + 2;
2 < 2.5.
This is correct.</span>