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Trava [24]
3 years ago
9

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
3241004551 [841]3 years ago
3 0

Answer:

Hold up i know the answer.

Step-by-step explanation:

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Solve the system (x-1)²+(y-2)²=2² and y=2x+2.
Likurg_2 [28]

Answer:

  (x, y) = (-0.6, 0.8)  or  (1, 4)

Step-by-step explanation:

Use the second equation to substitute for y in the first.

 (x -1)² +((2x +2) -2)² = 4

  x -2x +1 + 4x² = 4 . . . . . . . eliminate parentheses

  5x² -2x -3 = 0 . . . . . . . . . . subtract 4, collect terms

Now we can rearrange the middle term to ease factoring by grouping.

  (5x² -5x) +(3x -3) = 0

  5x(x -1) +3(x -1) = 0

  (5x +3)(x -1) = 0

The values of x that make these factors zero are ...

  x = -3/5, x = 1

The corresponding values of y are ...

  y = 2(-3/5)+2 = 4/5 . . . . for x = -3/5

  y = 2(1) +2 = 4 . . . . . . . . for x = 1

The solutions are: (x, y) = (-3/5, 4/5) or (1, 4).

___

A graphing calculator verifies these solutions.

3 0
3 years ago
Given the following rectangle and circle, at what approximate value of x are the two areas equal? Show work and explain all step
suter [353]

Answer:

x ≈ 1.28

Step-by-step explanation:

I just took the exam:

Area of rectangle =(3x-1)(x+6), Area of circle = PI(x+1)^2. If you graph these and find where they intersect, you will get x ≈ 1.28.

I hope this helped! :)

7 0
3 years ago
PLS SOLVE THIS<br> I WILL MARK BRAINLIEST
Paraphin [41]

Answer:

AB = 25 units

Step-by-step explanation:

In right triangle ACB, CD\perp AB

Therefore, by geometric mean property:

CD^{2} ={AD\times DB}  \\  \\  {10}^{2}  = AD\times 5 \\  \\ 100 = 5AD \\  \\  AD =  \frac{100}{5}  \\  \\ AD = 20

AB = AD + DB

AB = 20 + 5

AB = 25 units

3 0
2 years ago
Round this number to the nearest thousand,hundred thousand and million 8500976
sergey [27]
5 and 0 and 8
5thousand 0 hundred 8millionnn


4 0
3 years ago
Read 2 more answers
Literal equations <br> Solve P=2(l+W) for l
Nina [5.8K]

                          <u> P = 2(L +W)</u>

Divide each side of the equation by 2 :    P/2 = L + W

Subtract  W  from each side :                <em>  P/2 - W  =  L</em>


6 0
3 years ago
Read 2 more answers
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