1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andre45 [30]
3 years ago
6

Solve the system of equations. y = 2x + 4 y = x2 + x - 2

Mathematics
1 answer:
miss Akunina [59]3 years ago
7 0

Answer:

<u>x=6</u><u> y=16</u>

Step-by-step explanation:

I will use elimination

y=2x+4

y=2x+x-2

*3 y=2x+4 3y=6x+12

*2 y=3x-2 2y=6x-4

3y=6x+12

- 2y=6x. -4

<u>y=16</u>

16=2x+ 4

-4 -4

12= 2x

/2 /2

<u>6=x</u>

You might be interested in
-7x-3x+2=-8x-2 can you please show your work how
iVinArrow [24]

Answer:

x = 2

Step-by-step explanation:

Given

- 7x - 3x + 2 = - 8x - 2 ← simplify left side

- 10x + 2 = - 8x - 2 ( add 8x to both sides )

- 2x + 2 = - 2 ( subtract 2 from both sides )

- 2x = - 4 ( divide both sides by - 2 )

x = 2

8 0
3 years ago
The cheeseburger in Alan's kid's meal has 300 calories. His fries have 101 and his drink has 150. How many tota calories
Scorpion4ik [409]
His meal has a total of 551 calories.

300+150 = 450

450 + 101 = 551
8 0
2 years ago
Read 2 more answers
What is the slope of the line through the points (-3, 5) and (4, 5)?
Natasha_Volkova [10]

Answer:

Slope: 0

Step-by-step explanation:

(-3,5) (4,5)

y2-y1/x2-x1

5-5/4+3=0/7

0/7 simplifies to 0.

So the slope of the line (-3,5) (4,5) is 0.

Hope this helps! ;)

5 0
3 years ago
Read 2 more answers
Dilate by a scale<br> factor of 1/2<br> AL<br> D
Firdavs [7]

Answer:

The image triangle ΔD'L'W' after the dilation by a scale factor of 1/2 will have the vertices:

  • D' (0, 1)
  • L' (1/2, 5/2) or L'(0.5, 2.5)
  • W' (5/2, 2) or W'(2.5, 2)

`The figure of the dilated image is attached below.

Step-by-step explanation:

Given the triangle ΔDLW withe the vertices

  • D(0, 2)
  • L(1, 5)
  • W(5, 4)

As the scale factor 1/2 < 0, thus the image triangle will be smaller than the original triangle.

The rule of dilation is given by

Dilation: (x, y)  →  (1/2x, 1/2y), centered at (0, 0)

D(0, 2)  → D' (1/2x, 1/2y) → D' (1/2(0), 1/2(2)) = D' (0, 1)

L(1, 5)  → L'(1/2x, 1/2y) →  L'(1/2(1), 1/2(5)) = L' (1/2, 5/2)

W(5, 4)  → W'(1/2x, 1/2y) →  W'(1/2(5), 1/2(4)) = W' (5/2, 2)

Therefore, the image triangle ΔD'L'W' after the dilation by a scale factor of 1/2 will have the vertices:

  • D' (0, 1)
  • L' (1/2, 5/2) or L'(0.5, 2.5)
  • W' (5/2, 2) or W'(2.5, 2)

`The figure of the dilated image is attached below.

7 0
3 years ago
X^2-3x-28=0 what are the roots
Oksi-84 [34.3K]

Answer:

\large\boxed{x=-4\ \vee\ x=7}

Step-by-step explanation:

x^2-3x-28=0\\\\x^2+4x-7x-28=0\\\\x(x+4)-7(x+4)=0\\\\(x+4)(x-7)=0\iff x+4=0\ \vee\ x-7=0\\\\x+4=0\qquad\text{subtract 4 from both sides}\\x=-4\\\\x-7=0\qquad\text{add 7 to both sides}\\x=7

8 0
2 years ago
Other questions:
  • Explain how to determine the angle measurement for this angle.
    6·1 answer
  • Find the measure of &lt; AED for m &lt; BEC = 96
    6·2 answers
  • Write the sum as a product. simplify the product (-2)+(-2)+(-2)+(-2)
    7·2 answers
  • Write a polynomial function of least degree with integral coefficients that has the given zeros of 5 and -2i
    5·1 answer
  • PLEASE HELP ME
    7·1 answer
  • Find the volume of the prism. <br> 4.8 m<br> 10 m<br> 7.2 m
    12·2 answers
  • CAN SOMEONE PLZ HELP ME, I NEED IT ASAP, AND I WOULD LIKE IT IF U COULD EXPLAIN YOUR ANSWER!!!!!
    8·2 answers
  • amelia is going to invest in an account paying on interest rate of 6.5% compounded daily? help me plz someone
    9·1 answer
  • How do I convert 12mi/hr = ? Ft/hr
    13·1 answer
  • Emma has 7 pens in a box. 5 of the pens are blue. 2 of the pens are red. emma takes at random a pen from the box and writes down
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!