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Ronch [10]
3 years ago
8

What is the solution set for 6x−2=5x+3 , given the replacement set {2, 3, 4, 5} ?

Mathematics
2 answers:
cestrela7 [59]3 years ago
8 0
<span>In order to find the solution, we must solve for 'x' in the initial equation. What we do to one side of the equation to isolate 'x', we must do to the other. If we subtract 5x from both sides were are left with x - 2 = 3. We then add 2 to both sides to completely isolate 'x' and are left with x = 5. This is in the replacement set and is one of the provided solutions, D.</span>
Romashka [77]3 years ago
5 0

Answer:

It's D

Step-by-step explanation:

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6
madam [21]

Answer:

A. a=12, b=63.c =36

Step-by-step explanation:

4 0
2 years ago
Please help me with these two questions, 10 points for each so in total 20!!
saul85 [17]

Answer:

\large\boxed{Q2.\qquad C.\ -2x+y=-2}\\\boxed{Q4.\qquad C.\ y=3x+12}

Step-by-step explanation:

Q2:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (4, 6) and (6, 10). Substitute:

m=\dfrac{10-6}{6-4}=\dfrac{4}{2}=2

y-6=2(x-4)           <em>use distributive property</em>

y-6=2x-8      <em>add 6 to both sides</em>

y=2x-2          <em>subteact 2 from both sides</em>

-2x+y=-2

Q4:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

Put the slope m = 3 and the coordinateso f the point (-2, 6) to the point-slope form of an equation of a line:

y-6=3(x-(-2))

y-6=3(x+2)         <em>use distributive property</em>

y-6=3x+6     <em>add 6 to both sides</em>

y=3x+12

4 0
3 years ago
write an equation of the line with the following information. Through (4,1) and perpendicular to y=1/3x +3
Yakvenalex [24]
Perpendicular means the two lines' slopes are negative reciprocal to each other. the slope of the given line is 1/3, therefore the slope of the perpendicular line is -3/1, which is -3
use the point-slope form: the given point is (4,1), so (y-1)=-3(x-4)
you can stop right here or you can write it into slope intercept form:
y-1=-3x+12
y=-3x+13
5 0
3 years ago
An astronaut who weighs 174 lb on Earth weighs 29 lb on the moon. Which of the following are correct amounts for weight on Earth
Korolek [52]

174/29 = 6 times the difference

17*6 = 102


12*6= 72

34*6 =204

15*6 = 90


so the answer is A

5 0
3 years ago
Read 2 more answers
Can someone help me on this Please
saul85 [17]

9514 1404 393

Answer:

  11.6 cm

Step-by-step explanation:

As the page title tells you, the Pythagorean theorem must be applied more than once. As you know, it tells you the square of the hypotenuse is the sum of the squares of the two sides.

  AD² = ED² +EA²

  EA² = AD²-ED² = 7² -6² = 13

  EA = √13 ≈ 3.606

__

  CD² = ED² +EC²

  EC² = CD² -ED² = 10² -6² = 64

  EC = √64 = 8

__

The length of the horizontal diagonal is ...

  AC = EA +EC = 3.6 +8 = 11.6 . . . cm

6 0
3 years ago
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