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Keith_Richards [23]
3 years ago
9

Solve by substitution 4x+2y=10 x-y=13

Mathematics
2 answers:
Savatey [412]3 years ago
8 0
<span>4x+2y=10
x-y=13

x=13+y
4(13+y)+2y=10
52+4y+2y=10
52+6y=10
6y=-42
y=-7
x=13+y=13-7=6

</span>
frozen [14]3 years ago
6 0
Equation 1: 4x+2y=10
Equation 2: X-y= 13

From Equation 2:

X = 13+Y

Substitute X into Equation 1:

4(13+Y)+2Y=10
52+4Y+2Y=10
52+6Y=10
6Y=10-52
6Y=-42
Y=-7

Substitute Y into Equation 2:

X-(-7)= 13
X+7=13
X=6

Therefore: Y= -7; X=6

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the answer is 215, 080

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3 years ago
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Please help<br> if x = 3 and y=-4 find x2 + y2 and x2 -y2
lions [1.4K]
1. Plug in the 3 in all the x’s that are in the equation:

(3)2 + y2 = for x2 + y2

(3)2 - y2 = for x2 - y2

This would get you for both equations..

6 + y2 = for x2 + y2

6 - y2 = for x2 - y2

2. Now let’s plug in the value of y which is -4:

6 + (-4)2 = for x2 + y2

6 - (-4)2 = for x2 + y2

This would get you for both equations...

-2 = x2 + y2

14 = x2 - y2


Hope this helped, have an awesome day!





6 0
3 years ago
One number is four times the other number. The larger number is also 87 more than the smaller number.
12345 [234]

Answer:

  • 116

Step-by-step explanation:

Let numbers be x and y

<u>Then we have equations:</u>

  • x = 4y
  • x = y + 87

<u>Comparing</u>

  • 4y = y + 87
  • 4y - y = 87
  • 3y = 87
  • y = 87/3
  • y = 29

<u>Then, the larger number is</u>

  • x = 4*29 = 116
3 0
3 years ago
A rocket is launched from the top of a 55-foot cliff with an initial velocity of 138 ft/s.
melisa1 [442]

For this case we have that the equation that describes the height is:

h = -16t ^ 2 + vt + c

Where,

v: initial speed

c: initial height

Substituting values we have:

h = -16t ^ 2 + 138t + 55

Then, to find the time, we use the quadratic formula:

t =\frac{-b +/-\sqrt{b^2 - 4ac} }{2a}

Substituting values we have:

t =\frac{-138 +/-\sqrt{138^2 - 4(-16)(55)} }{2(-16)}

Rewriting:

t =\frac{-138 +/-\sqrt{19044 + 3520} }{-32}

t =\frac{-138 +/-\sqrt{22564}}{-32}

t =\frac{-138 +/-150.21}{-32}

We discard the negative root because we want to find the time.

We have then:

t =\frac{-138 -150.21}{-32}

t =\frac{-288.21}{-32}   \\t=9

Answer:

D. 0 = -16t^2 + 138t + 55; 9 s

3 0
3 years ago
B) Change 12.41 into cm.Maths
Lisa [10]

Answer:

31.5214 cm

Step-by-step explanation:

6 0
3 years ago
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