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eduard
3 years ago
15

Which is a reasonable first step that can be used to solve the equation 2(x + 6) = 3(x - 4) + 5?

Mathematics
1 answer:
olasank [31]3 years ago
5 0

Answer:

Distribute 2 to (x + 6) and 3 to (x - 4)

Step-by-step explanation:

2(x + 6) = 3(x - 4) + 5

The first step is to distribute on both sides

2x+12 = 3x-4 +5

We have to distribute to all terms inside the parentheses

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Angle pwm is equal to angle pkm
Len [333]
<h3>Answer: 24 (choice C)</h3>

Assuming M is a midpoint of KW, this means that WM and KM are congruent

WM = KM

x+3 = 2(x-3) ... substitution

x+3 = 2x-6

2x-6 = x+3

2x-6-x = x+3-x .... subtract x from both sides

x-6 = 3

x-6+6 = 3+6 ... add 6 to both sides

x = 9

Use x = 9 to find the length of WM

WM = x+3 = 9+3 = 12

Which can be used to find the length of KM as well

KM = 2(x-3) = 2(9-3) = 2(6) = 12

both lengths are the same (12) as expected

This makes WK to be

WK = WM + KM

WK = 12 + 12

WK = 24

3 0
3 years ago
Read 2 more answers
Four students are trying to find the rule that translates point N(–2, –4) to N prime (2, 4). Each student’s reasoning is shown b
liraira [26]

Answer:

Lo's answer is correct and it is a translation because applying the rule (x+4, y+8) on the coordinates N(-2, -4) will gives us N'(2,4).

Step-by-step explanation:

i) though Raheem is mathematically correct the question asks for a translation which means that we can only use addition and/or subtraction and not multiplication. So Raheem's answer is therefore incorrect.

ii) Casey's answer is incorrect as applying the rule (x+2, y+4) on the coordinates N(-2, -4) will gives us (0,0) and not N'(2,4)

iii) Andrew's answer is also incorrect as applying the rule (x+4, y+0) on the coordinates N(-2, -4) will gives us (2,-4) and not N'(2,4).

iv) Lo's answer is correct and it is a translation because applying the rule (x+4, y+8) on the coordinates N(-2, -4) will gives us N'(2,4).

6 0
3 years ago
Read 2 more answers
All professional baseball teams playing field are the same size the three bases and home plate make a diamond that is 90 feet on
Leni [432]
It would be 90(4 sides)= 360 ft

or 90ft+90ft+90ft+90ft=360ft
4 0
3 years ago
Jack and Walter work in a store's gift-wrapping department. Jack can wrap 28 boxes in 2 hours, while Walter takes 3 hours to wra
iVinArrow [24]
J = 14h
w = 12h
h = jw65

4 0
3 years ago
What is the equation of a parabola that has a vertical axis, passes through the point (–1, 3), and has its vertex at (3, 2)? x=
Genrish500 [490]

Answer:

y=x216–6x16+4116

Step-by-step explanation:

plato :)

5 0
3 years ago
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