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andreyandreev [35.5K]
3 years ago
13

Factorise:p/4-q2/16 pls help me with it

Mathematics
2 answers:
Annette [7]3 years ago
7 0

Answer:

1/4 ( p - 1/4 q^2).

Step-by-step explanation:

p/4 - q2/16

The greatest common factor is 1/4 so we have the answer:

1/4 ( p - 1/4 q^2).

Varvara68 [4.7K]3 years ago
3 0

Answer:

\frac{1}{4} (p-\frac{2q}{4} )

Step-by-step explanation:


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One afternoon, a student who is 5 feet 4 inches tall measured shadows to find the height of a telephone pole. The student's shad
Setler79 [48]

Answer:

19.9875 feet

Step-by-step explanation:

The formula is given as:

Shadow of the student/Height of the student = Shadow of the telephone pole/Height of the telephone pole.

1 inch = 0.0833 feet

Shadow of the student = 5ft

Height of the student = 5 feet 4 inches

4 inches to feet

= 4 × 0.0833 feet

= 0.33 feet

Hence: Height of the student = 5 + 0.33 = 5.33 feet

Shadow of the telephone pole = 18 feet 9 inches long

9 inches to feet

= 9 × 0.0833 feet

= 0.75 feet

Hence: Shadow of the telephone pole = 18 + 0.75 = 18.75 feet

Height of the telephone pole= x

Therefore:

5/5.33 = 18.75/x

Cross Multiply

5x = 5.33 × 18.75

x = 5.33 × 18.75/5

x = 19.9875 feet

The height of the telephone pole = 19.9875 feet

4 0
3 years ago
PLEASE HELP THIS IS A MAJOR GRADE FOR ME!!!! 31 Triangle RST is translated 6 units to the left and 4 units up to create triangle
Sladkaya [172]
D is the answer- x-6, y+4
4 0
3 years ago
Find three positive consecutive integers such that the product of the second integer and the third integer is 72
Anastaziya [24]
Let
x---------> first  positive integer
x+1------> second positive integer
x+2-----> third positive integer

we know that
(x+1)*(x+2)=72-------> x² +2x+x+2=72 -------> x² +3x-70=0

using a graph tool-------> <span>I solve the quadratic equation
</span>see the attached figure

the roots are
x1=-10
x2=7

the answer is
first  positive integer is x=7
second positive integer is x+1=8
third positive integer is x+2=9

3 0
3 years ago
Read 2 more answers
Pleaseeeeeeee help me
Juli2301 [7.4K]

Answer:

The answer is "The discriminant is positive"

Step-by-step explanation:

When the discriminant is positive there is two real solutions.

When the discriminant is equal to 0, there is one real solution.

When the discriminant is negative, there is no real number solutions.

8 0
2 years ago
A force of $20$ newtons will stretch a spring $5$ centimeters. What is the total number of centimeters that a force of $60$ newt
Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

Hooke's Law applies here, which is a linear relationship. It would be easier to solve this using proportions with N of force on the top and the amount of stretch in cm on the bottom. Set up with our unknown, the number of cm:

\frac{N}{cm}:\frac{20}{5}=\frac{60}{x} and cross multiply:

20x = 300 so

x = 15 cm

6 0
2 years ago
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