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Dimas [21]
3 years ago
8

Which ordered pair represents the solution to the system of equations? {−5x+7y=−196x−2y=10

Mathematics
1 answer:
Alenkinab [10]3 years ago
4 0

Answer:

Step-by-step explanation:

-5x + 7y = -19

6x - 2y = 10

-10x + 14y = -38

42x - 14y = 70

32x = 32

x = 1

-5 + 7y = -19

7y = -14

y = -2

(1, -2)

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A line is perpendicular to y = - x - 2 and intersects the point (-5, 10)
Lady_Fox [76]

Answer:

y = x + 15

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = - x - 2. Its slope is -1. A line perpendicular to this will have a slope of 1.

Plug this value (1) into your standard point-slope equation of y = mx + b.

y = 1x + b or y = x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-5, 10). Plug in the x and y values into the x and y of the standard equation.

10 = (-5) + b

Simplify.

10 = -5 + b

Now, add 5 to both sides to isolate b.

15 = b

Plug this into your standard equation.

y = x + 15

This equation is perpendicular to your given equation (y = -x - 2) and contains point (-5, 10)

Hope this helps!

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2 years ago
How does the calculator get 48.8? mean (45, 80, 15, 10, 94)
jok3333 [9.3K]

Answer:

mean= sum of all observations /no.of observation

mean=45+80+15+10+94/5

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this is how the calculator gets 48.8

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3 years ago
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Read 2 more answers
1: Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not hav
OLga [1]

Answer:

(1) y=C, C\neq0

(2) x=C

(1) y=0

Step-by-step explanation:

For the linear equation, the power on the solitary variable must be 1.

When the graph of a function crosses/ touches the x-axis than the equation has solution/solutions otherwise it does not has a solution.

When it touches/cresses the x-axis for infinite times then it will have an infinite number of solutions.

(1) The linear equation y-C=0, where y is a variable and C is a non-zero constant,  C \neq 0, has the graph parallel to the x-axis. It has no solution as the graph will never cross/touch the x-axis.

Algebraically, in linear equation y-C=0, is independent of x, so there is no value of x for the solution to be exist.

(2) The linear equation x-C=0, where x is a variable and C is a constant, has one solution.

The solution for the equation is

x-C=0

\Rightarrow x=C, where C\neq0.

(3) The linear equation y=0, where y is a variable, has the graph coinciding with the x-axis. So, it has infinitely many solutions.

Algebraically, in linear equation y=0, is independent of x, so for all value of x, the given equation is zero. Hence, there are infinitely many solutions.

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What is the lcd for five twelfths?
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