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
Nat2105 [25]
3 years ago
14

Factor completely: x2 - 8x + 16

Mathematics
2 answers:
crimeas [40]3 years ago
7 0
x^2-8x+16=0\\\\x^2-2x\cdot4+4^2=0\ \ \ /use\ (a-b)^2=a^2-2ab+b^2/\\\\(x-4)^2=0\iff x-4=0\to\boxed{x=4}
katovenus [111]3 years ago
5 0
x^2 - 8x + 16 = 0\ \to\ a = 1\ ;\ b = -8\ ;\ c = 16

\frac{-b\pm \sqrt{b^2 - 4ac}}{2a} = \frac{8\pm \sqrt{64 - 4\cdot 1\cdot 16}}{2\cdot 1} = x_1 = 4\ ;\ x_2 = 4

x^2 - 8x + 16 = (x - 4)^2
You might be interested in
Can you help me with this please cause I can't do math!
harina [27]

Answer:

6

Step-by-step explanation:

(3x-5)+(2x-1)+(x+1) = 6x-5 = 31

6x = 36

x = 6

4 0
3 years ago
Question 5
Tcecarenko [31]

Answer:

The COP is 0.5

Step-by-step explanation:

First we must find the slopes.

12.50/25 = 0.5

17.50/35 = 0.5

The COP is 0.5

8 0
3 years ago
Find the equation of the line passing through (4,3) and parallel to the line whose equation is y=2x-6
SVETLANKA909090 [29]
Y=2x-6 (4, 3)
(X, Y)
3=2(4)+b
3=8+b
-5=b

Y=2x-5
5 0
3 years ago
Krystal hiked 109 miles last year. Tanji hiked 12 times as many miles as Krystal. How many miles did Tanji hike last year
lapo4ka [179]

Answer:

1308

Step-by-step explanation:

109 x12

8 0
3 years ago
Determine an equation of a Quadratic function
Pepsi [2]

Answer:

y = -4x² + 32x - 48

Step-by-step explanation:

The standard form of a quadratic equation is  

y = ax² + bx + c

We must find the equation that passes through the points:

(2, 0), (6,0), and (3, 12)

We can substitute these values and get three equations in three unknowns.

0 = a(2²) + b(2) + c

0 = a(6²) + b(6) + c

12 = a(3²) + b(3) + c

We can simplify these to get the system of equations:

(1)   0 =    4a + 2b + c

(2)  0 = 36a + 6b + c

(3) 12 =   9a + 3b + c

Eliminate c from equations (1) and (2). Subtract (1) from (2).

(4) 0 = 32a + 4b

Eliminate c from equations (2) and (3). Subtract (3) from (2).

(5) -12 = 27a - 3b

Simplify equations (4) and (5).

(6)  0 = 8a + b

(7) -4 = 9a  - b

Eliminate b by adding equations (6) and (7).

(8) a = -4

Substitute (4) into (6).

    0 = -32 + b

(9) b =  32

Substitute a and b into (1)

0 = 4(-4) + 2(32) + c

0 = -16 + 64 + c

0 = 48 + c

c = -48

The coefficients are

a= -4, b = 32, c = -48

The quadratic equation is

y = -4x² + 32x - 48

The diagram below shows the graph of your quadratic equation and the three points through which it passes.

4 0
3 years ago
Other questions:
  • Explain why a linear function that is continuous has an infinite number of solutions. Then determine which of the following repr
    11·1 answer
  • AREAS AND VOLUMES OF SIMILAR SOLIDS URGENT?
    13·1 answer
  • What is the tenth digit in the quotient 120 ÷ 11
    9·2 answers
  • Marc is looking at the plans for his new garage. the length of the garage is 8 metres. the scale on the drawing is 1:50. what wi
    11·1 answer
  • During the summer Austin sells tomatoes at his family's produce stand . Every morning he starts with 150 tomatoes on. Sunday Aus
    13·1 answer
  • What is g in 7h+2f-2g=17.15
    8·1 answer
  • A company that manufactures mufflers for cars offers a lifetime warranty on its products, provided that ownership of the car doe
    15·1 answer
  • 5 1/3 in decimal form​
    13·2 answers
  • Complete the equation of the line through (4,-8) and (8,5)<br> Use exact numbers.<br> Y=?
    8·2 answers
  • What are the zeros of f(x) = x^2-13x+40
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!