All categories

3 years ago

P2-16p+48=0 Please solve this math problem

Mathematics

1 answer:

Leni [432]3 years ago

8 0

Answer:

( p - 4 ) ( p - 12 ) = 0

Step-by-step explanation:

To factor this equation, let's apply the quadratic formula.

p^2 - 16p + 48 = 0

Let a = 1, b = -16, c = 48

[-b +/- sqrt(b^2 - 4(a)(c))] / 2 (a)

[- (-16) +/- sqrt( (-16)^2 - 4(1)(48)) ] / 2 (1)

= [ 16 +/- sqrt( 256 - 192) ] / 2

= [ 16 +/- sqrt(64) ] / 2

= [16 +/- 8] / 2

p = (16 + 8) / 2 ; p = (16 - 8) / 2

p = 24 / 2 ; p = 8 / 2

p = 12 ; p = 4

Hence, this equation factors into the following:

( p - 4 ) ( p - 12 ) = 0

Cheers.

You might be interested in

Find the distance between the points (5, -6) and (-1, 3).

emmasim [6.3K]

Answer:

$\sqrt{117}$

Step-by-step explanation:

Use the distance formula.

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$d = \sqrt{(-1 - 5)^2 + (3 - (-6))^2}$

$d = \sqrt{(-6)^2 + 9^2}$

$d = \sqrt{36 + 81}$

$d = \sqrt{117}$

6 0

3 years ago

Solve the logarithmic equation

vichka [17]

$\text{We know:}\\\\\log_ab=c\iff b=a^c\\\\y=\log_{10}0.0001\\\\y=\log_{10}10^{-4}\to\boxed{y=-4}$

8 0

3 years ago

A friend is building a 4-sided garden with two side lengths of 19 feet and exactly one right angle. What quadrilaterals could de

Vadim26 [7]

A friend is building a 4-sided garden with two side lengths of 19 feet and exactly one right angle. What quadrilaterals could describe the garden?

Answer: The garden could be a square, rectangle or rhombus in shape. As given, the proposed garden has two sides with equal length of 19 feet and the garden is 4 sided. So, it can be a square, rectangle or rhombus.

4 0

3 years ago

Find the values for each dot plot.

Reika [66]

For range it’s highest number minus lowest number so:
28 - 21 = 7

For median it’s the middle number:
Since there’s two we add them and dive it by two so:
25 + 24 = 49 dived by 2 = 24.5

For mode it’s most occurring number in this case :
All of them appear twice so none of them are the mode

7 0

4 years ago

A cylinder has a volume of 75.36 cubic feet and a radius of 3 feet. What is the height of the cylinder

Gemiola [76]

Answer:

volume=πr²h

75.36=22×3×3×h

75.36=198×h

7×75.36=198×h×7

527.52=197×h

197. 197

h=2.68

6 0

3 years ago