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DerKrebs [107]
3 years ago
11

What is the solution to the following system:

Mathematics
2 answers:
lara [203]3 years ago
5 0

Answer:

(3,-1)

Step-by-step explanation:

Here we are given a pair of linear equation and we are asked to find its solution.

We can find the solution graphically as we are given the graph of two lines. The solution of two lines graphically is the point of intersection. Here we see that two lines are meeting at ((3,-1) . Hence the solution to them is (3,-1)

Ymorist [56]3 years ago
4 0
I think the answer would just be at the point of intersection, or (3,-1)
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How do you find the height of a triangle (to calculate area)?
Lilit [14]

Answer:

The height of the triangle could be found by the <u>Pythagoras theorem</u>, where the result is, with the data of the exercise:

  • <u>Height of the triangle = 10.392</u>

And the area of the triangle is:

  • <u>Area of the triangle = 31.176 units^2</u>

Step-by-step explanation:

When you have two measurements of a triangle, as the case in the picture, you can find the third with the <em>Pythagoras theorem</em>, which is:

  • <u>(opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2</u>

As you can see in the picture, the measurement of the hypotenuse is 12, and the opposite leg could be 6, for this reason, we're gonna clear the adjacent leg of the formula above:

  • (opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2
  • (adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2

Now, we can replace the values in the formula obtained:

  • (adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2
  • (adjacent leg)^2 = 12^2 - 6^2
  • (adjacent leg)^2 = 144 - 36
  • (adjacent leg)^2 = 108

Now, as we just need the adjacent leg, we take the square root of both sides:

  • adjacent leg = \sqrt{108}
  • <u>adjacent leg = 10.392 approximately</u>.

Now, with these data, we can find the area of the triangle with the next formula:

  • Area of a triangle = (base * height) / 2
  • And we replace the measurements:
  • Area of a triangle = (6 * 10.392) / 2
  • <u>Area of a triangle = 31.176</u>

As the image does not contain units, it would be simply this number, however, <em>you should know that the area units are usually given squared, for example: in^2 or ft^2</em>.

4 0
2 years ago
Two glasses of milk and 4 snack bars have a total of 76 carbohydrates (carbs), and 4 glasses of milk and 3 snack bars have a tot
galina1969 [7]

Answer:

10 carbs in snack bars

14 carbs in milk

Step-by-step explanation:

Glasses of Milk = m

Snack Bars = s

I am going to make this a system of equations:

2m + 3s = 58

4m + 2s = 76

I am going to simplify one of them for a s:

4m + 2s = 76

2s = 76 - 4m

s = 38 - 2m

I am going to insert this into the other equation:

2m + 3s = 58

2m + 3(38 - 2m) = 58

2m + 114 - 6m = 58

(-4)m + 114 = 58

(-4)m = -56

m = 14 calories

I am going to plug this m into one of the equations (doesn't matter which):

2(14) + 3s = 58

28 + 3s = 58

3s = 30

s = 10

You can plug these values back into each of the equations to make sure they work.

Hope it helps! UvU

4 0
3 years ago
What is the radical form of each of the given expressions? Drag the answer into the box to match each expression.
postnew [5]

4 ^ (1/7 ) is the 7th root of 4 or the 3rd box

4 ^ (7/2) is 4 to the 7th power then the square root  or the 2nd box

7 ^ (1/4) is the 4th root of 7 or the 4th box

7 ^ (1/2) is the square root of 7 or the  6th box

4 0
3 years ago
Read 2 more answers
What is the formula for a trapezium
aleksklad [387]
A= (a+b/2) × h

Is the formula for a trapezoid
4 0
3 years ago
Terrence walks 1/3mile in 1/12 hour. What is his walking speed in Miles per hour?
ohaa [14]

1/3 x 3 is one mile which is then 3/12 hours or 1/4 hours. Now multiply by 4 and you have

\frac{4 \: miles}{per \: hour}

4 0
3 years ago
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