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Ivan
2 years ago
8

Resolve into factors. px + qx + py + qy (algebra). ​

Mathematics
2 answers:
mamaluj [8]2 years ago
6 0

Answer:

(p+q)(x+y)

HOPE IT HELPS YOU.....

amm18122 years ago
5 0

Step-by-step explanation:

we want to factor the following expression

\displaystyle px + qx + py + qy

to do so group px's and qy's

\displaystyle px +  py  + qx + qy

factor out p:

\displaystyle p(x +  y ) + qx + qy

factor out "q":

\displaystyle p(x +  y ) + q(x + y)

group:

\boxed{ \displaystyle( p+ q)(x + y)}

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Deffense [45]
Negative 6 and negative 2
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3 years ago
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Select True or false for each statement
PilotLPTM [1.2K]

Answer:

False

True

False

False

Step-by-step explanation:

1. We have to get the sum as follows :

3\frac{4}{9} + 4\frac{6}{9}

= \frac{31}{9} + \frac{42}{9}

= \frac{31 + 42}{9}

= \frac{73}{9}

= 8\frac{1}{9} \neq  7\frac{1}{9}

So, this is false.

2. We have to get the sum as follows :

4\frac{5}{6} + 1\frac{3}{6}

= \frac{29}{6} + \frac{9}{6}

= \frac{29 + 9}{6}

= \frac{38}{6}

= 6\frac{2}{6}

So, this is true.

3. We have to get the difference as follows :

4\frac{5}{8} - 2\frac{4}{8}

= \frac{37}{8} - \frac{20}{8}

= \frac{37 - 20}{8}

= \frac{17}{8}

= 2\frac{1}{8} \neq  2\frac{3}{8}

So, this is false.

4. We have to get the difference as follows :

7\frac{5}{8} - 4\frac{2}{8}

= \frac{61}{8} - \frac{34}{8}

= \frac{61 - 34}{8}

= \frac{27}{8}

= 3\frac{3}{8} \neq   3

So, this is also false. (Answer)

5 0
3 years ago
17. Simplify (3 × 22) ÷ 6 + [28 – (4)2] = ?
Effectus [21]

Answer:

31

Step-by-step explanation:

(3*22=66) / 6 + [28n - (4)2=20]

66 /6 = 11+ [20]

11+20= 31

7 0
3 years ago
Find the value of c that completes the square
Kitty [74]

Answer:

c = 64

Step-by-step explanation:

Given

x² - 16x + c

To complete the square

add ( half the coefficient of the x- term )² to x² - 16x

x² + 2(- 8)x + 64

= (x - 8)²

Thus

x² - 16x + 64 = (x - 8)² ← a perfect square

with c = 64

8 0
2 years ago
Select the values that make the inequality h < 2 true.
weqwewe [10]

Given:

The inequality is:

h\leq 2

To find:

The values that make the given inequality true.

Solution:

We have,

h\leq 2

It means the value of h must be less than or equal to 2.

In the given options, the list of numbers which are less than or equal to 2 is

-6, -3, -1, 1, 1.9, 1.99, 1.999, 2

The list of numbers which are greater than 2 is

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Therefore, the first 8 options are correct and the required values are -6, -3, -1, 1, 1.9, 1.99, 1.999, 2.

3 0
2 years ago
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