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andreyandreev [35.5K]
3 years ago
5

20 POINTS HELP ME PLEASE How many solutions does the system have

Mathematics
1 answer:
finlep [7]3 years ago
3 0

Answer:

Two

Step-by-step explanation:

x² + 4 = 4x + 1

x² - 4x + 3 = 0

x² - 3x - x + 3 = 0

x(x - 3) - (x - 3) = 0

(x - 3)(x - 1) = 0

x = 1, 3

y = 4(1) + 1 = 5

y = 4(3) + 1 = 13

Two solutions: (1,5) (3,13)

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Help please, asap. thank you
Sergio039 [100]

Answer:

KL = 28

YZ = 76

LZ = 38

Step-by-step explanation:

Because J K and L are midpoints, the segment lengths are half of the segments from the XYZ triangle.

Think of it like this: ZLK is just ZXY scaled to half.

From that we get:

KL = YX/2 = 56/2 = 28

YZ = 2*KJ = 2*38 = 76

LZ = YZ/2 = 76/2 = 38

6 0
3 years ago
Read 2 more answers
Solve the simultaneous equations y=x-2 and y=3x+5
IgorLugansk [536]

Answer:

(- 3.5, - 5.5 )

Step-by-step explanation:

Given the 2 equations

y = x - 2 → (1)

y = 3x + 5 → (2)

Substitute y = 3x + 5 into (1)

3x + 5 = x - 2 ( subtract x from both sides )

2x + 5 = - 2 ( subtract 5 from both sides )

2x = - 7 ( divide both sides by 2 )

x = - 3.5

Substitute x = - 3.5 into either of the 2 equations and evaluate for y

Substituting into (1)

y = - 3.5 - 2 = - 5.5

Solution is (- 3.5, - 5.5 )

3 0
4 years ago
Find the zeros of the function. Enter the solutions from least to greatest.
Harman [31]

9514 1404 393

Answer:

  x = 5, x = 11

Step-by-step explanation:

Set f(x) = 0 and solve for x.

  0 = (x -8)² -9

  9 = (x -8)² . . . . . add 9

  ±√9 = x -8 . . . . . take the square root

  ±3 +8 = x . . . . . . . add 8

That is, ...

  x = 8 -3 = 5 . . . . lesser x

  x = 8 +3 = 11 . . . greater x

3 0
3 years ago
How many time larger is 9x10^-8 than 3x10^-12
kkurt [141]

Step-by-step explanation:

\frac{9 \times 10 {}^{ - 8} }{3 \times 10 {}^{ - 12} }

Apply Quoteint of Powers. Divide the intergers. serpately.

Note that Quotient of Powers is

\frac{a {}^{x} }{a {}^{y} }  = a {}^{x  - y}

So the answer is

3 \times 10 {}^{ - 8 + 12}  = 3 \times 10 {}^{4}

The answer is

3 \times 10 {}^{4}

or

30000

3 0
3 years ago
Read 2 more answers
Simplify the expression (7+5)+4 x 13-2 <br> Show your work
alex41 [277]

Answer:

7+5 first because of pemdas

7+5 = 12

12+4 x 13-2

then  4 x 13

4 times 13 = 52

12+52-2

then add

12+52 = 64

64-2

then subtract

64-2 = 62

Step-by-step explanation:

Pemdas

6 0
3 years ago
Read 2 more answers
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