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katrin2010 [14]
1 year ago
15

What is the slope if the line? M=__​

Mathematics
2 answers:
Tcecarenko [31]1 year ago
8 0

Answer:

slope = - 3

Step-by-step explanation:

calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (3, - 4) ← 2 points on the line

m = \frac{-4-2}{3-1} = \frac{-6}{2} = - 3

DanielleElmas [232]1 year ago
5 0

Answer:

Step-by-step explanation:

m = -3/1

m = -3

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How to solve this system of equal: x+y+z=1;x^2+y^2+z^2=1
swat32

There are infinitely many solutions.

Algebraically, we can eliminate z and try to solve for x,y:

x+y+z=1\implies z=1-x-y

Then

x^2+y^2+(1-x-y)^2=1

\implies x^2+y^2+1-2x+x^2-2y+y^2+2xy=1

\implies x^2-x+y^2-y+xy=0

which is the equation of an ellipse.

5 0
3 years ago
Could 1.5, 2.5, 3.5 and 6, 10, 12 be the corresponding sides of two similar triangles
boyakko [2]

Answer:

No

Step-by-step explanation:

If the ratios of the corresponding sides are equal then they would be the sides of 2 similar triangles.

Calculate the ratio of corresponding sides.

\frac{6}{1.5} = 4

\frac{10}{2.5} = 4

\frac{12}{3.5} ≠ 4

Thus the sides are not the corresponding sides of similar triangles.

4 0
3 years ago
In most countries, gasoline is measured in liters. The volume of one liter is approximately one quart. There are four quarts in
In-s [12.5K]

Answer:

Europe 1.86 VS 0.79 US

Step-by-step explanation:

All you have to do is take US gass prices and simply divide it by four then compare.

6 0
3 years ago
6. If the net investment function is given by
Pachacha [2.7K]

The capital formation of the investment function over a given period is the

accumulated  capital for the period.

  • (a) The capital formation from the end of the second year to the end of the fifth year is approximately <u>298.87</u>.

  • (b) The number of years before the capital stock exceeds $100,000 is approximately <u>46.15 years</u>.

Reasons:

(a) The given investment function is presented as follows;

I(t) = 100 \cdot e^{0.1 \cdot t}

(a) The capital formation is given as follows;

\displaystyle Capital = \int\limits {100 \cdot e^{0.1 \cdot t}} \, dt =1000 \cdot  e^{0.1 \cdot t}} + C

From the end of the second year to the end of the fifth year, we have;

The end of the second year can be taken as the beginning of the third year.

Therefore,  for the three years; Year 3, year 4, and year 5, we have;

\displaystyle Capital = \int\limits^5_3 {100 \cdot e^{0.1 \cdot t}} \, dt \approx 298.87

The capital formation from the end of the second year to the end of the fifth year, C ≈ 298.87

(b) When the capital stock exceeds $100,000, we have;

\displaystyle  \mathbf{\left[1000 \cdot  e^{0.1 \cdot t}} + C \right]^t_0} = 100,000

Which gives;

\displaystyle 1000 \cdot  e^{0.1 \cdot t}} - 1000 = 100,000

\displaystyle \mathbf{1000 \cdot  e^{0.1 \cdot t}}} = 100,000 + 1000 = 101,000

\displaystyle e^{0.1 \cdot t}} = 101

\displaystyle t = \frac{ln(101)}{0.1} \approx 46.15

The number of years before the capital stock exceeds $100,000 ≈ <u>46.15 years</u>.

Learn more investment function here:

brainly.com/question/25300925

6 0
2 years ago
14 = 31.7 – 3x What is the solution
netineya [11]
14 = 31.7 - 3x
-17.7 = -3x
x = 5.9


4 0
3 years ago
Read 2 more answers
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