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3 years ago

3(x+4y)+5(2x-y) identify each of the properties used in each step

Mathematics

2 answers:

pashok25 [27]3 years ago

7 0

Answer:

distributive property is used in this equation

Step-by-step explanation:

Dmitrij [34]3 years ago

4 0

Answer:

3x + 12y +10x-5y

13x +7y

Step-by-step explanation:

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Factor over the complex numbers, if possible: x² + 2xyi - y2<br><br> What is the answer?

yanalaym [24]

9514 1404 393

Answer:

(x +yi)²

Step-by-step explanation:

Comparing the given expression to the square of a binomial, we can determine the given expression to be a square.

(a +b)² = a² +2ab +b²

Here, we have a=x and b=yi. Then the factorization is ...

x² +2xyi +(yi)² = (x +yi)²

8 0

2 years ago

What are the values of the variables in the triangle below?

harkovskaia [24]

Answer:

D) x=9 ; y=3√(3)

Step-by-step explanation:

$Sin(30)=\cfrac{y}{6\sqrt{3} }$

$\cfrac{18y}{6\sqrt{3}}=18\sin \left(30^{\circ \:}\right)$

$\sqrt{3}y=9$

$\cfrac{\sqrt{3}y}{\sqrt{3}}=\cfrac{9}{\sqrt{3}}$

$y=3\sqrt{3}$

$Cos(30)=\cfrac{x}{6\sqrt{3} }$

$\cfrac{18x}{6\sqrt{3}}=18\cos \left(30^{\circ \:}\right)$

$\sqrt{3}x=9\sqrt{3}$

$\cfrac{\sqrt{3}x}{\sqrt{3}}=\cfrac{9\sqrt{3}}{\sqrt{3}}$

$x=9$

Therefore, x=9 and y=3√(3)

8 0

2 years ago

What is the definition of perimeter

inna [77]

it means the distance around a two dimensional shape.

To find the perimeter, add all the side lengths

hope it helps!!!!!!!

7 0

2 years ago

A, B and C lie on a straight line segment.A, E and D lie on a straight line segment.BE = 1.8m, CD = 9m and BC = 1.7m.Work out th

katrin2010 [14]

The relationship between the points is an illustration of similar shapes.

The length of AB is 0.43

The given parameters are:

$\mathbf{BE = 1.8}$

$\mathbf{CD = 9}$

$\mathbf{BC = 1.7}$

From the question (see attachment), we have the following observations:

BE corresponds to CD
AB corresponds to AC

So, the equivalent ratio is:

$\mathbf{AB:BE =AC:CD }$

Substitute known values

$\mathbf{AB:1.8 =AC:9 }$

Express as fractions

$\mathbf{\frac{AB}{1.8} =\frac{AC}{9} }$

Multiply both sides by 1.8

$\mathbf{AB =\frac{AC}{5} }$

So, we have:

$\mathbf{AB =\frac{AB + BC}{5} }$

Substitute 1.7 for BC

$\mathbf{AB =\frac{AB + 1.7}{5} }$

Multiply through by 5

$\mathbf{5AB =AB + 1.7}$

Collect like terms

$\mathbf{5AB -AB =1.7}$

$\mathbf{4AB =1.7}$

Divide both sides by 4

$\mathbf{AB=0.425}$

Approximate

$\mathbf{AB=0.43}$

Hence, the length of AB is 0.43