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den301095 [7]
2 years ago
11

X = 2y + 12 5x + 3y =-44

Mathematics
1 answer:
Dmitry [639]2 years ago
8 0

Answer:

(-4, -8)

Step-by-step explanation:

Note that x in terms of y is x = 2y + 12.  Substitute 2y + 12 for x in the second equation:

5(2y + 12) + 3y = -44

or

10y + 60 + 3y = -44

Then 13y= -104, and y = -8

From the first equation we find x = 2(-8) + 12, or x = -16 + 12, or x = -4

Then the solution is (-4, -8)

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If $42,000 is invested at 7% in a savings account for 8 years, what is the final amount monthly and continuously?
aivan3 [116]

Answer:

7,000

Step-by-step explanation:

so I think u divide $42,000 by 8 and then by 7%.

yea

5 0
3 years ago
Enter an equation in point-slope form for the perpendicular bisector of the segment with endpoints M(−3, 7) and N(9, −3). The po
scZoUnD [109]

Answer:

5y - 6x = 53

Step-by-step explanation:

Given the segment with endpoints  M(−3, 7) and N(9, −3), let us find the slope first

m = y2-y1/x2-x1

m = -3-7/9-(-3)

m = -10/12

m = -5/6

Since the unknown line forms a perpendicular bisector, the slope of the unknown line will be:

m = -1/(-5/6)

m = 6/5

To get the intercept of the line, we will substitute m = 6/5 and any point on the line say (-3, 7) into the equation y = mx+c

7 = 6/5 (-3)+c

7 = -18/5 + c

c = 7 + 18/5

c = (35+18)/5

c = 53/5

Substitute m = 6/5 and c = 53/5

y = 6/5 x + 53/5

multiply through by 5

5y = 6x + 53

5y - 6x = 53

hence the point-slope equation of the perpendicular bisector is 5y - 6x = 53

6 0
2 years ago
How do I solve 3|x+10|=6
lianna [129]

Answer:

x=-8 x=-12

Step-by-step explanation:

Divide 3 to both sides

|x+10|=2

Set x+10 to equal 2 and -2

x+10=2 x+10=-2

solve both equations

x=-8/-12

5 0
3 years ago
Which choices name a chord of circle F? Choose all answers that are correct. A. B. C. D.
Lorico [155]
Choices:
a) AD
b) BE
c) CF
d) DF

Chord of a circle is a straight line segment that is has both end points lying on the circle or its curve.

Diameter is a chord of a circle. 

The chord of circle F are: AD, BE, and DE.

Among the choices, Choice A and Choice B are the chords of circle F.
 

3 0
3 years ago
one of the highest snowfall rates ever recorded was in silver lake, colorado, in april 1921, when just over 7 feet of snow fell
Murljashka [212]
I think it's about 3.1 inches per hour.
7 ft.=84 in.
84/27.5=3.05454.....
3.05454.... equals about 3.1
3 0
2 years ago
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