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andreyandreev [35.5K]
3 years ago
9

Find the solution of this system of equations - 2x + 10y = -22 -2x - 4y = 6

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

Answer:

x = 1, y = -2

Step-by-step explanation:

- 2x + 10y = -22 _______(1)

-2x - 4y = 6 _______(2)

From (1),

10y + 22 = 2x

x = (10y + 22) / 2

x = 5y + 11 .______(3)

Substitute (3) into (2),

-2 ( 5y + 11) -4y = 6

-10y - 22 - 4y = 6

-14y = 6 + 22

-14y = 28

y = 28/ -14

y =-2

Substitute y = -2 into (3).

x = 5y + 11

x = 5(-2) + 11

x = -10 + 11

x = 1

Therefore, the solution is x = 1, y = -2.

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What are the zeros of the quadratic function f(x) = 2x2 + 16x – 9?
Aleksandr-060686 [28]

Answer:

The zeros of the function are -0.488 and -7.39

Step-by-step explanation:

Given the quadratic function

f(x) = 2x²+16x-9

The zeros of the function is gotten at when f(x) = 0

2x²+16x-9 = 0

Using the general equation

x = -b±√b²-4ac/2a

From the equation, a = 2, b = 16 and c= -9

x = -16±√16²-4(2)(-9)/2(2)

x = -16±√256-72/4

x = -16±√184/4

x = -16+13.56/4

x = -16+13.56/4 and -16.13.56/4

x = --2.44/5 and -29.56/4

x = -0.488 and -7.39

8 0
3 years ago
Please help quick. Will give brainliest if correct.
Romashka-Z-Leto [24]

Answer:

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Step-by-step explanation:

It is the only one with a pattern. Hope this helps!!

3 0
3 years ago
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Please help ASAP<br> I will give brainliest if you answer right
Leto [7]
Distance = subtraction
10 - (-5) = 10 + 5 = 15

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Vincent propses an idea to the student government to install a basket hoop along with a court marked with all the shooting lines
sladkih [1.3K]

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached photo.

My answer:

Scale Drawing Lengths:   .     .     / .  

Actual Court Lengths       .     .     .  

Scale Factor: inch corresponds to ( ∙ ) inches, or inches, so the scale factor is .  

Let = , represent the scale drawing lengths in inches, and represent the actual court lengths in inches. The -values must be converted from feet to inches.  

To find actual length:

= =

() = inches, or feet  

To find actual width:  

= = ( )  

= / ∙ /  

= inches, or feet  

The actual court measures feet by feet. Yes, the lot is big enough for the court Vincent planned. The court will take up the entire width of the lot.

5 0
3 years ago
J is the midpoint of KL. The coordinates of J are (-8,7) and the coordinates of K are (3,4) find the coordinates of L. (show wor
musickatia [10]
Assuming linear.
if k is at (3,4) and j is at (-8,7)
set. (y1,x1) and(y2,x2)

[(y2-y1),(x2-x1)]
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distance from k to j is (-11,3)

now take coordinates of j and distance from. k->j and add them to get coordinate for L

[(-11+(-8)),(7+3)]= (-19,10)=L
7 0
4 years ago
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