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2 years ago

Evaluate the following expressions: 1. 5(a+2b)-3b

Mathematics

2 answers:

Dominik [7]2 years ago

7 0

Answer:

$\boxed{\sf{5a+7b}}$

Step-by-step explanation:

$\boxed{\underline{\text{Distributive property}}}$

<u>Given:</u>

In this question, I'm asking about the distributive property.

Distributive property is each term within the parentheses can be multiplied by a factor outside the parentheses.

For any real numbers a, b, and c.

⇒ A(B+C)=AB+AC

⇒ A(B-C)=AB-AC

<u>Solutions:</u>

<u>Multiply by expand first.</u>

$\Longrightarrow: \sf{5(a+2b)}$

$\Longrightarrow: \sf{5*a=5a}\\\\\Longrightarrow: \sf{5*2b=10b}$

<u>Rewrite the equation problem down.</u>

5a+10b-3b

<u>Solve.</u>

<u />

<u>Subtract.</u>

10b-3b=7b

$\Longrightarrow: \boxed{\sf{5a+7b}}$

<u>Therefore, the final answer is 5a+7b.</u>

I hope this helps, let me know if you have any questions.

Alika [10]2 years ago

4 0

Answer:

=5a+7b

Step-by-step explanation:

Expand: 5(a + 2b): 5a + 10b
=5a+10b-3b
<em>Add similar elements: 10b-3b=7b
</em>=5a +7b

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The mean absolute deviation of the scuba diver’s depth over the entire 25 min is 2.4 meters

<h3>What is mean absolute deviation?</h3>

It is defined as the measure to show the variation in data set in other words between the mean and every data value, the distance known as the MAD.

We have depths of the scuba diver, in meters

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2 years ago

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Indicate the equation of the line, in standard form, that is the perpendicular bisector of the segment with endpoints (4, 1) and

jenyasd209 [6]

Equation of a line is $x+3y =-3$ .

<h3>What is a perpendicular bisector of the line segment?</h3>

A perpendicular bisector is a line that cuts a line segment connecting two points exactly in half at a 90 degree angle. To find the perpendicular bisector of two points, all you need to do is find their midpoint and negative reciprocal, and plug these answers into the equation for a line in slope-intercept form.

Given that,

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First find the midpoints of the given line segment.

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Now, Find the slope of the line :

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perpendicular lines have slopes the multiply to get -1

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