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miss Akunina [59]
3 years ago
10

Solve the system of equations.

Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
6 0

Answer:

the answer is y= x+7

Step-by-step explanation:

the answer is y= x+7 because you have to move the -2x over to where the 14 is and it becomes positive then you divide 2 by 2x and 14 by 2 then you get the answer

Ivan3 years ago
4 0

Answer:

1/2 and 1/3 respectively.

Step-by-step explanation:

Multiplying the second equation by 1/2 we have;

1/2 ( -2x. + y) = 14 * 1/2

-x + y/2 = 7--------------(3)

From (1); x- 3y =3

Adding eqn( 1) + (3)

( x- 3y =3) + (-x + y/2 = 7)

x-x -3y + y/2 = 3 + 7

-5y/2 = 10;

In order to eliminate y;

Multiplying eqn 1 by (1/3)

We have:

(1/3) (x- 3y= 3)

1/3 x - y =1-----------(4)

eqn(4) + (2)

[1/3 x - y = 1] + [-2x + y = 14]

1/3 x. -2x-y + y = 1 + 14

-5/3 x = 15

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Subtract 0000 1000 whats the answer
Finger [1]
If u subtract 1,000 - 0000 it will equal 1,000

8 0
4 years ago
An angle, θ, is in standard position. The terminal side of the angle passes through the point (4, 5).
lara31 [8.8K]

Answer:

cos Θ = \frac{4}{\sqrt{41} }

Step-by-step explanation:

Given the angle passes through (4, 5 ) then the right triangle with sides 4 and 5 has hypotenuse h given by

h² = 4² + 5² = 16 + 25 = 41 ( take the square root of both sides )

h = \sqrt{41}

In relation to Θ, 4 is adjacent and 5 is opposite, thus

cos Θ = \frac{adjacent}{hypotenuse} = \frac{4}{\sqrt{41} }

5 0
3 years ago
Write the equation of the parabola below
lorasvet [3.4K]
Answer:
Equation is: y = 0.5x² + 0.5x - 3

Explanation:
general form of the parabola is:
y = ax² + bx + c

Now, we will need to solve for a, b and c.
To do this, we will simply get points from the graph, substitute in the general equation and solve for the missing coefficients.

First point that we will use is (0,-3). 
y = y = ax² + bx + c
-3 = a(0)² + b(0) + c
c = -3

The equation now becomes:
y = ax² + bx - 3

The second point that we will use is (2,0):
y = ax² + bx - 3
0 = a(2)² + b(2) - 3
0 = 4a + 2b -3
4a + 2b = 3
This means that:
2b = 3 - 4a
b = 1.5 - 2a ...........> I

The third point that we will use is (-3,0):
y = ax² + bx - 3
0 = a(-3)² + b(-3) - 3
0 = 9a - 3b - 3
9a - 3b = 3 ...........> II

Substitute with I in II and solve for a as follows:
9a - 3b = 3
9a - 3(1.5 - 2a) = 3
9a - 4.5 + 6a = 3
15a = 7.5
a = 7.5 / 15
a = 0.5

Substitute with the value of a in equation I to get b as follows:
b = 1.5 - 2a 
b = 1.5 - 2(0.5)
b = 0.5

Substitute with a and b in the equation as follows:
y = 0.5x² + 0.5x - 3

Hope this helps :)
7 0
3 years ago
Find three consecutive integer whose sum is 117
qwelly [4]
117/3 = 39

39 + 39 + 39 = 177

They must be consecutive.

The integers are 37, 39, and 41.
7 0
3 years ago
Read 2 more answers
What is 25%of395 thanks
tia_tia [17]
98.75
Just do 0.25 (25%) times 395
its the same as doing 395 divided by 25

6 0
3 years ago
Read 2 more answers
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