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TEA [102]
3 years ago
10

How would I solve the system 9x +y = 2, -4x -y =-17 when using elimination ​

Mathematics
1 answer:
larisa [96]3 years ago
7 0

Answer: y=29, x=-3

Step-by-step explanation:

eq. 1: 9x+y=2

9 • -3+y=2

-27+y=2

y=29

eq. 2: -4x-y=-17

4x+y=17

5x=-15

x=-3

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A shop makes a profit of £2750 in March.
LiRa [457]

Answer:

15% increase

Step-by-step explanation:

2750... 10% of that is 275, add 275 to 2750 is 3025. 1% of 2750 is 27.50, you times that by 5, which is 137.50 and add that to 3025 giving you 3162.50, add the 10% with the 5% gives you 15%, that's the increase.

7 0
3 years ago
Which function has a vertex at the origin?
Elenna [48]

answer D

Step-by-step explanation:

Hello,

we can check the graph of the functions as attached or compute the vertex analytically

from the graph you can see that D is the correct answer

8 0
3 years ago
Read 2 more answers
Pentagon ABCDE and pentagon A″B″C″D″E″ are shown on the coordinate plane below:
erastova [34]

The transformations that are applied to pentagon ABCDE to create A"B"C"D"E" are:

1) Translation (x, y) → (x + 8, y + 2)

2) Reflection across the x-axis (x, y) → (x, -y)

So, the overall transformation given in the graph is (x, y) → {(x + 8), -(y + 2)}.

<h3>What are the transformation rules?</h3>

The transformation rules are:

  • Reflection across x-axis: (x, y) → (x, -y)
  • Reflection across y-axis: (x, y) → (-x, y)
  • Translation: (x, y) → (x + a, y + b)
  • Dilation: (x, y) → (kx, ky)

<h3>Calculation:</h3>

The pentagons in the graph have vertices as

For the pentagon ABCDE: A(-4, 5), B(-6, 4), C(-5, 1), D(-2, 2), and (-2, 4)

For the pentagon A"B"C"D"E": A"(4, -7), B"(2, -6), C"(3, -3), D"(6, -4), and E"(6, -6)

Consider the vertices A(-4, 5) from the pentagon ABCDE and A"(4, -7) from the pentagon A"B"C"D"E".

Applying the Translation rule for the pentagon ABCDE:

The rule is (x, y) → (x + a, y + b)

So, the variation is

-4 + a = 4

⇒ a = 4 + 4 = 8

5 + b = 7

⇒ b = 7 - 5 = 2

So, the pentagon ABCDE is translated by (x + 8, y + 2).

Applying the Reflection rule for the translated pentagon:

The translated pentagon has vertices (x + 8, y + 2).

When applying the reflection across the x-axis,

(x + 8, y + 2) → {(x + 8), -(y + 2)}

Therefore, the complete transformation of the pentagon ABCDE to the pentagon A"B"C"D"E" is (x, y) → {(x + 8), -(y + 2)}

Verification:

A(-4, 5) → ((-4 + 8), -(5 + 2)) = (4, -7)A"

B(-6, 4) → ((-6 + 8), -(4 + 2)) = (2, -6)B"

C(-5, 1) → ((-5 + 8), -(1 + 2)) = (3, -3)C"

D(-2, 2) → ((-2 + 8), -(2 + 2)) = (6, -4)D"

E(-2, 4) → ((-2 + 8), -(4 + 2)) = (6, -6)E"

Learn more about transformation rules here:

brainly.com/question/4289712

#SPJ1

5 0
1 year ago
How many milliliters equal 1942 cm?
stiks02 [169]
1cm³=1mL
1942cm=x mL

    1cm³          1942cm³
________ = ________
   1mL              x mL

Cross multiply
1x=1942
divide both sides by 1
x=1942mL

Answer=1942mL

8 0
3 years ago
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viktelen [127]

Answer:

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<em>hope</em><em> it</em><em> helps</em>

8 0
2 years ago
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