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sveta [45]
2 years ago
8

Solve this system of equations using the substitution method.

Mathematics
1 answer:
miskamm [114]2 years ago
6 0

Answer:

(5,14)

Step-by-step explanation:

4x-6=2x+4 because I chose any of the y values

change of subjects ⬇️

4x-2x =4+6

2x=10

2x÷2 and 10÷2

⬆️ making x stand alone

x= 5

put x into any of the equation

y=2(5)+4

y= 10+4

y=14

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If a polynomial function f(x) has roots 3+
irinina [24]

Answer:

Step-by-step explanation:

3+√5 is a root.

so 3-√5 is also a root

or (x-(3-√5)) is also a factor of f(x)

7 0
2 years ago
I really need help rn T_T plz help me out!
pshichka [43]

Answers:

  • The lengths of sides PQ and RS are <u>   13   </u>
  • The lengths of sides QR and SP are <u>   </u><u>20  </u>

This is a 13 by 20 rectangle.

============================================================

Explanation:

Refer to the drawing below.

Let x be the length of side SP. Since we're dealing with a rectangle, the opposite side is the same length. Side QR is also x units long.

We're told that RS = SP - 7 which is the same as saying RS = x-7

We also know that PQ = x-7 as well because PQ is opposite side RS.

In short, we have these four sides in terms of x

  • PQ = x-7
  • QR = x
  • RS = x-7
  • SP = x

as shown in the drawing. The four sides add up to the perimeter of 66.

PQ+QR+RS+SP = perimeter

PQ+QR+RS+SP = 66

(x-7)+x+(x-7)+x = 66

4x-14 = 66

4x = 66+14

4x = 80

x = 80/4

x = 20

Use this x value to find the unknown side lengths.

  • PQ = x-7 = 20-7 = 13
  • QR = x = 20
  • RS = x-7 = 20-7 = 13
  • SP = x = 20

In short, this is a 13 by 20 rectangle.

-----------------

Check:

perimeter = side1+side2+side3+side4

perimeter = PQ+QR+RS+SP

perimeter = 13+20+13+20

perimeter = 33+33

perimeter = 66

The answer is confirmed.

4 0
2 years ago
Is 0.12 a rational number
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Yes .12 is a rational number
6 0
3 years ago
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If 6 lemons cost 90p what is the price of 1 lemon and four lemons
alina1380 [7]
75p is the correct answer because 1 lemon is 15p
8 0
3 years ago
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Given the points J(4,-7) and L(-2,13), find the coordinates of point k on JL such that the ratio of jk is 1:4
Irina-Kira [14]

Answer:

The coordinates of point k are (-2.8,-3)

Step-by-step explanation:

we shall use the internal division formula to find the coordinates of point k

Mathematically, the formula is as follows;

Let’s call the coordinates of point k (x,y)

(x , y) = mx2 + nx1/(m + n) , my2 + ny1/(m + n)

From the question;

m = 1 , n = 4

x1 = 4, x2= -2

y1 = -7 , y2 = 13

Substituting these values in the equation, we have the following;

1(-2) + 4(4)/(1 + 4) , 1(13) + 4(-7)/(1+4)

(-2+16)/5, (13 -28)/5

= -14/5, -15/5

= (-2.8, -3)

3 0
3 years ago
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