2 years ago

Rewrite x^2+12x+42 in the form (x+b)^2 +c

Mathematics

1 answer:

Rzqust [24]2 years ago

6 0

This is completing the square:

(x^2+12x+36)+42-36

Answer: (x+6)^2 +6

You might be interested in

When 8 is added to the number that is produced by doubling the number x, the result is equal to 8 times the number that is 5 les

ollegr [7]

Answer:

Step-by-step explanation:

Number = 2x

Therefore, 2x + 8 = 8(x - 5)

2x + 8 = 8x - 40

6x = 48

x = 8

5 0

2 years ago

Evaluate c−d if c=1 and2/5 and d=5/6 . Express your answer in simplest form.

Andrews [41]

Answer:

$\frac{17}{30}$

Step-by-step explanation:

→ Substitute in the numbers

$1\frac{2}{5} -\frac{5}{6}$

→ Simplify

$1\frac{2}{5} -\frac{5}{6}=\frac{7}{5} -\frac{5}{6}=\frac{42}{30} -\frac{25}{30} =\frac{17}{30}$

5 0

2 years ago

50 points to the person who answers correctly or just answers

avanturin [10]

From the list of 9 weights we see that

Puppies in range 10-11 = 3

range 12-13 = 4

range 14-15 = 2

The second histogram described is the correct one.

3 0

3 years ago

Two points on the line are (0, 4) and (7, 18). Use the points to first determine the slope and y-intercept. Then write the equat

Nadya [2.5K]

9514 1404 393

Answer:

a. m = 2; y intercept = (0, 4); y = 2 x + 4

Step-by-step explanation:

The slope can be found using the formula ...

m = (y2 -y1)/(x2 -x1)

m = (18 -4)/(7 -0) = 14/7

m = 2

The y-intercept is the first given point: (0, 4).

The equation for the line in slope-intercept form is

y = mx + b

Here, we have m=2 and b=4, so the equation is ...

y = 2x +4

6 0

2 years ago

What is the value of x A 19 B 22 C 67 D71

Novay_Z [31]

Answer:

Step-by-step explanation:

(2x+4)° + 42° = 180°

x = 67°

4 0

2 years ago