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3 years ago

Choose the number sentence that shows the distributive property of multiplication over addition.

Mathematics

1 answer:

rusak2 [61]3 years ago

7 0

5 × (8 + 2 ) = 5(8 + 2) = (5 × 8 ) + (5 × 2)

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Find the value of x<br><br> 2+4( 3 + 2x ) = 3x + 8

solniwko [45]

2 + 4(3+2x) = 3x + 8

2 + 12 + 8x = 3x + 8

14 - 8 = 3x - 8x

6 = -5x

x = -6/5

8 0

2 years ago

Read 2 more answers

For to 30-60-90 triangle below, the length of side AB is 52 cm.

Jlenok [28]

Answer:

Using 60°

Let side CB be x

Cos60= x/52

Cross multiply=

x= 52cos60

x= 26 <u>cm</u>

7 0

3 years ago

A square-shaped patio has an area of 256ft squared. What are the dimensions of the patio?

olga nikolaevna [1]

Answer:

all sides are 16 ft

Step-by-step explanation:

If the side length is x, the area is x²=256, hence x = √256 = 16

8 0

2 years ago

5 to the second power minus two (4-1)

PilotLPTM [1.2K]

Answer:

Step-by-step explanation: You have to do 5x5 because 5^2 mans there is two fives. Then you just subtract two

5x5=25

25-2=23

8 0

2 years ago

Solve 5x^2 - 7x + 2 = 0 by completing the square.

Reika [66]

Answer: The correct option is (c) $\dfrac{49}{100}.$

Step-by-step explanation: We are given to solve the following quadratic equation by the method of completing the square:

$5x^2-7x+2=0~~~~~~~~~~~~~~~~~~~(i)$

Also, we are to find the constant added on both sides to form the perfect square trinomial.

We have from equation (i) that

$5x^2-7x+2=0\\\\\Rightarrow x^2-\dfrac{7}{5}x+\dfrac{2}{5}=0\\\\\\\Rightarrow x^2-2\times x\times \dfrac{7}{10}+\left(\dfrac{7}{10}\right)^2+\dfrac{2}{5}=\left(\dfrac{7}{10}\right)^2\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{49}{100}-\dfrac{2}{5}\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{49-40}{100}\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{9}{100}\\\\\\\Rightarrow x-\dfrac{7}{10}=\pm\dfrac{3}{10}\\\\\\\Rightarrow x=\pm\dfrac{3}{10}+\dfrac{7}{10}.$

So,

$x=\dfrac{3}{10}+\dfrac{7}{10},~~~~~~~~x=-\dfrac{3}{10}+\dfrac{7}{10}\\\\\\\Rightarrow x=\dfrac{10}{10},~~~~~~~~\Rightarrow x=\dfrac{-3+7}{10}\\\\\\\Rightarrow x=1,~-\dfrac{2}{5}.$

Thus, the required solution is $x=1,~-\dfrac{2}{5}.$ and the value of the constant added is $\dfrac{49}{100}.$

Option (c) is correct.

3 0

2 years ago