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aliya0001 [1]
3 years ago
7

Solve this simultaneous equation m+2n=10 and 2n+3m=18​

Mathematics
1 answer:
Ksju [112]3 years ago
3 0

Answer:

m=4

n=3

Step-by-step explanation:

m+2n=10

2n+3m=18

Subtract

-2m=-8

m=4

Solve for n

(4)+2n=10

2n+3(4)=18

2n=10-4

2n=18-12

2n=6

n=3

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Examine the following expression.
svetoff [14.1K]

Answer:

True expressions:

  • The constants, -3 and -8, are like terms.  
  • The terms 3 p and p are like terms.  
  • The terms in the expression are p squared, negative 3, 3 p, negative 8, p, p cubed.
  • The expression contains six terms.
  • Like terms have the same variables raised to the same powers.

Step-by-step explanation:

The expression is:

p² - 3 + 3p - 8 + p + p³

False expressions:

  • The terms p squared, 3 p, p, and p cubed have variables, so they are like terms.  (They don't have the same exponents)
  • The terms p squared and p cubed are like terms.    (They don't have the same exponents)
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6 0
3 years ago
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Solve the following system of equations. Enter the y-coordinate of the solution. Round your answer to the nearest tenth.
Alex17521 [72]
-2x + 6y = -34
-x + 3y = -17
x = 3y +17

Sub this into 1st eqn
5(3y + 17) + 2y = 21
15y + 85 + 2y =21
17y = -64
y = -3.7647 (to 5 sig. fig.)
y = -3.8 (to nearest tenth)

Sub y = -3.7647 into 2nd eqn
x = 3(-3.7647) +17
x = 5.7 (to nearest tenth)
7 0
3 years ago
to construct a parallel to a line through a point not on the line using paper folding, you can perform the _____ construction tw
adoni [48]
<span>The <u>correct answer</u> is:

The midpoint of a segment.

Explanation<span>:

To construct a line parallel to another line through a given point, the first thing you do is fold the given line onto itself, making sure that the given point is on the fold. This is the same construction used to find the midpoint of a segment.

Unfold the paper, and the crease made with the fold creates a line through the given point and given line. Fold this new line (crease) onto itself, making sure the given point is in the fold. This is again the same construction used to find the midpoint of a segment, and this creates our parallel line through our given point.</span></span>
6 0
3 years ago
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emily drives home from work in 30 minutes driving 60 miles per hour. If Emily need to get home 10 minutes earlier, how fast does
AlladinOne [14]

The correct answer is 90 miles per hour

Explanation:

The first step to know how fast Emily needs to drive to get 10 minutes earlier is to determine the distance from her work to her home. This can be calculated by using the information provided (speed and time). The process is shown below:

speed = distance ÷ time

distance = speed x time

distance = 60 miles per hour x 0.5 (30 minutes represent 0.5 hours)

distance= 30 miles

Now, using the same formula let's calculate the speed for 20 minutes (30 minutes - 10 minutes earlier = 20 minutes)

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speed = 30 miles ÷ 0.333 (20 minutes represents 0.333 hours as 20 minutes is 1/3 of an hour)

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8 0
3 years ago
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KatRina [158]

Answer:

x-intercept(s) = (-2,0)

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Step-by-step explanation:

the x-intercept, substitute in  0  for  y  and solve for  x . To find the y-intercept, substitute in  0  for  x  and solve for  y .

x-intercept(s) = (-2,0)

y-intercept(s) = (0, - 5/2)

7 0
3 years ago
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