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Nezavi [6.7K]
3 years ago
7

What is the only solution of 2x2 + 8x = x2 – 16?

Mathematics
1 answer:
NeX [460]3 years ago
3 0

Answer:

–4

Step-by-step explanation:

observe

2x² + 8x = x² – 16

x² + 8x + 16 = 0

(x+4)² = 0

x + 4 = 0

x = –4

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NO LINKS!! Please help me with these graphs​
Stella [2.4K]

Answer:

  • square: 9 square units
  • triangle: 24 square units

Step-by-step explanation:

Using a suitable formula the area of a polygon can be computed from the coordinates of its vertices. You want the areas of the given square and triangle.

<h3>Square</h3>

The spreadsheet in the first attachment uses a formula for the area based on the given vertices. It computes half the absolute value of the sum of products of the x-coordinate and the difference of y-coordinates of the next and previous points going around the figure.

For this figure, going to that trouble isn't needed, as a graph quickly reveals the figure to be a 3×3 square.

The area of the square is 9 square units.

<h3>Triangle</h3>

The same formula can be applied to the coordinates of the vertices of a triangle. The spreadsheet in the second attachment calculates the area of the 8×6 triangle.

The area of the triangle is 24 square units.

__

<em>Additional comment</em>

We have called the triangle an "8×6 triangle." The intention here is to note that it has a base of 8 units and a height of 6 units. Its area is half that of a rectangle with the same dimensions. These dimensions are readily observed in the graph of the vertices.

7 0
1 year ago
You invest $40,000 in two funds paying 4% and 52% simple interest. The total annual interest is $2080. How much do you invest in
natali 33 [55]

9514 1404 393

Answer:

  • 4% fund: $39,000
  • 52% fund: $1000

Step-by-step explanation:

Let x represent the amount invested at 52%. Then (40000-x) is the amount invested at 4%. The total annual interest is ...

  0.52x +0.04(40000-x) = 2080

  0.48x = 480 . . . . . . . . . subtract 1600, simplify

  x = 1000 . . . . . . . . . divide by 0.48

Then the amounts invested in each fund are ...

  4% fund: $39,000

  52% fund: $1000

6 0
2 years ago
Whitch equation is related to this equation? k divided by 4=13
OlgaM077 [116]
k:4=13\\\\\dfrac{k}{4}=13\ \  \ \ |multiply\ both\ sides\ by\ 4\\\\k=52
6 0
3 years ago
What is the value of the expression <br> 7⋅(−5)⋅4?
Masja [62]
Multiply each number. Remember that when multiplying a negative and positive number, the outcome will be negative

7 x -5 = -35
-35 x 4 = -140

-140 is your answer

hope this helps
4 0
3 years ago
Read 2 more answers
Help with this question please!!
notsponge [240]
18x can also be expressed as:

= 2x * (4+5)
= 2x * 9
= 18x

ANSWER: 2x * (4 + 5)

Hope this helps! :)
3 0
3 years ago
Read 2 more answers
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