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2 years ago

Using the distributive property write numerical expression that is equivalent to 25+10

Mathematics

2 answers:

34kurt2 years ago

8 0

For this case we have that by definition, the distributive property establishes:

$a (b + c) = ab + ac$

Then, using the above definition, we must write an expression equivalent to:

$25 + 10$ :

The largest integer that divides both numbers without leaving residue is 5, then:

$5 (5 + 2) = 5 * 5 + 5 * 2 = 25 + 10$

Answer:

$5 (5 + 2)$

Norma-Jean [14]2 years ago

5 0

Answer:

5(5 + 2).

Step-by-step explanation:

5 is a factor of 25 and 10 so :

15 + 10 = 5(5 + 2).

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An equilateral triangle has a perimeter of 48 cm. What is the area?

KiRa [710]

Answer:

$A=64\sqrt{3}\ cm^2$

Step-by-step explanation:

we know that

An <u><em>equilateral triangle</em></u> has three equal sides and three equal interior angles (each interior angle measure 60 degrees)

The perimeter is equal to

$P=3b$

where

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we have

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substitute

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$b=48/3\\b=16\ cm$

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$A=\frac{1}{2}b^2sin(60^o)$

substitute the value of b

$A=\frac{1}{2}(16)^2sin(60^o)$

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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Anastasy [175]

Answer:

(2, -7)

x = 2

y = -7

Step-by-step explanation:

Let's solve this system of equations by elimination.

Start by multiplying the first equation by 2:

$2(4x)+2(3y)=2(-13)\\8x+6y=-26$

Next, multiply the second equation by 3:

$3(-5x)+3(2y)=3(-24)\\-15x+6y=-72$

Notice that both equations now have a "6y", meaning we can subtract both equations and thereby eliminating the variable "y" from the equation:

$8x+6y-(-15x+6y)=-26-(-72)\\8x+6y+15x-6y=-26+72\\23x=46$

Divide both sides by 23

$x=2$

Substitute 2 for "x" to solve for "y".

$4x+3y=-13\\4(2)+3y=-13\\8+3y=-13$

Subtract 8 from both sides:

$3y=-21$

Divide both sides by 3:

$y=-7$

Therefore the answer is:

$(x, y)=(2, -7)$

Additional Comments:

Note that we can only divide, subtract, multiply, or add both sides of the equation by the same quantity due to the Division, Subtraction, Multiplication, or Addition Property of Equality. These properties state that if you divide/subtract/multiply/add one side of the equation by one quantity, you must do the same to the other side of the equation so that it remains an equation.

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