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3 years ago

How do you solve equations with like terms

Mathematics

1 answer:

Sauron [17]3 years ago

3 0

<h3>Equations with like terms are solved by combining the like terms</h3>

Solution:

Given that,

How do you solve equations with like terms

Like terms are terms that has same variables with same exponents and same or different coefficients

Example :

2x and 3x

$4x^2 \text{ and } 5x^2$

Consider a equation,

$1x^2 + 5x + 2x^2 + 6x$

Here, like terms are 5x and 6x

also $1x^2 \text{ and } 2x^2$

Combine the like terms by adding ( or subtracting as per given equation ) the coefficients

$1x^2 + 5x + 2x^2 + 6x = 1x^2 + 2x^2 + 5x+6x\\\\1x^2 + 5x + 2x^2 + 6x = 3x^2 + 11x$

Thus the equation with like terms is solved

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3 years ago

In one area, the lowest angle of elevation of the sun in winter is 27.5°. Find the minimum distance x that a plant needing full

Alex73 [517]

Answer:

The minimum distance x that a plant needing full sun can be placed from a fence that is 5 feet high is 4.435 ft

Step-by-step explanation:

Here we have the lowest angle of elevation of the sun given as 27.5° and the height of the fence is 5 feet.

We will then find the position to place the plant where the suns rays can get to the base of the plant

Note that the fence is in between the sun and the plant, therefore we have

Height of fence = 5 ft.

Angle of location x from the fence = lowest angle of elevation of the sun, θ

This forms a right angled triangle with the fence as the height and the location of the plant as the base

Therefore, the length of the base is given as

Height × cos θ

= 5 ft × cos 27.5° = 4.435 ft

The plant should be placed at a location x = 4.435 ft from the fence.

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3 years ago

Explain the steps for dividing decimals. Write three or four sentences.

ryzh [129]

Answer:

1.First Move the decimal point in the divisor and dividend.

2.Place a decimal point in the quotient (the answer) directly above where the decimal point now appears in the dividend.

3.Divide as usual, being careful to line up the quotient properly so that the decimal point falls into place.

Step-by-step explanation:

I got it from google tbh

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2 years ago

Read 2 more answers

The hypotenuese of an isosceles right triangle is 13 inches. The midpoints of its sides are connected to form an inscribed trian

Georgia [21]

Answer:

The Sum of the areas of theses triangles is 169/3.

Step-by-step explanation:

Consider the provided information.

The hypotenuse of an isosceles right triangle is 13 inches.

Therefore,

$x^2+x^2=169\\2x^2=169\\x=\frac{13}{\sqrt{2} }$

Then the area of isosceles right triangle will be: $A=\frac{1}{2} x^2$

Therefore the area is: $A=\frac{169}{4}$

It is given that sum of the area of these triangles if this process is continued infinitely.

We can find the sum of the area using infinite geometric series formula.

$S=\frac{a}{1-r}$

Substitute $a=\frac{169}{4} \ and\ r=\frac{1}{4}$ in above formula.

$S=\frac{\frac{169}{4}}{1-\frac{1}{4}}$

$S=\frac{\frac{169}{4}}{\frac{3}{4}}$

$S=\frac{169}{3}$

Hence, the Sum of the areas of theses triangles is 169/3.

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2 years ago

Explain how to solve an inequality by finding equivalent inequalities

Free_Kalibri [48]

Answer:

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Step-by-step explanation:

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2 years ago