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aleksandr82 [10.1K]
3 years ago
11

Which ordered pair is a solution of the equation? 3х + Зу = - x + 5y

Mathematics
1 answer:
IRISSAK [1]3 years ago
7 0

Answer:

(0,0)

Step-by-step explanation:

if you put the two equations together on a graph, the point where they meet is (0,0)

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Which of the following is an equation of the line through (2,3) and (-1,-12)
ahrayia [7]

Answer:

y = 5x - 7

Step-by-step explanation:

Using the equation of a line with two points

y_2 - y_1 / x_2 - x_1 = y - y_1 / x - x_1

Giving two points

( -4 , 10)(16 , -2)

x_1 = -4

y_1 = 10

x_2 = 16

y_2 = -2

Using the above formula

y_2 - y_1 / x_2 - x_1 = y - y_1 / x - x_1

-12 - 3 / -1 - 2 = y - 3 / x - 2

-15/-3 = y - 3 /x - 2

Cross multiply

-15(x - 2) = -3(y - 3)

-15x + 30 = -3y + 9

-15x + 30 + 3y - 9 = 0

-15x +30 - 9 + 3y = 0

-15x + 21 + 3y = 0

3y = 15x - 21 ( following y = mx + C

Dividing through by 3 to find y

3y/3 = 15x -21 / 3

y = 15x - 21 / 3

We can still separate

y = 15x / 3 - 21/3

y = 5x - 7

Therefore, the equation of the line is

y = 5x - 7

6 0
3 years ago
Is the triangle with side lengths of 10 in., 24 in., and 26 in. a right triangle? 85 POINTS
monitta
The answer to, Is the Triangle with side lengths of 10 in., 24 in., and 26 in, a right triangle is: Yes.  For right triangles, the sum of the squares of the shorter sides is equal to the square of the longer side.  Thus, this is a right triangle if 10^2+24^2=26^2.  Expanding these squares, we have 100+576=676, which is true.  Thus, the triangle is right.
5 0
3 years ago
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Malaya is standing directly between a 90-foot tall courthouse and a 54-foot tall bank. If the angle of elevation from the point
Alex

Answer:

Step-by-step explanation:

Draw a picture.

c and b are Malaya’s distance from the courthouse and bank, respectively.

tan(72°) = c/90

c = 90tan(72°)

tan(35°) = b/54

b = 54tan(35°)

Distance between courthouse and bank = c+b

= 90tan(72°) + 54tan(35°)

= 301.5 ft

3 0
2 years ago
Simplify 3(2x+4y-y)<br> Someone please explain the steps to solve this equation in DETAIL.
il63 [147K]
3 (2x + 4y - y)   Combine like terms (4y and -y)
  3 (2x + 3y)      Use the Distributive Property [(3 · 2x) + (3 · 3y)]
    6x + 9y
7 0
3 years ago
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The time it takes a printer to print a job is an Exponential random variable with the expectation of 12 seconds. You send a job
Mnenie [13.5K]

Answer:

0.8753

Step-by-step explanation:

Calculate the probability that your job will be ready before 10.01 am

Here, the parameter of an Exponential is E(X)=12

Now, to calculate the third job probability, it follows Poisson Distribution with parameter 1/λ

Therefore, E(Y) =1/12

Here, The third job will be ready for 10:01 AM, then E(Y)=61/12

Therefore, the required probability is

P(X\geq 3)=1-P(X

=1- POISSON(3,5,true)

=1-0.1246

=0.8753

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3 years ago
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