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3 years ago

Write the degree of the expression:3x² + x²y2 + 2y? + 10

Mathematics

1 answer:

Anit [1.1K]3 years ago

7 0

Answer:

The degree is 3.

Step-by-step explanation:

Add the exponents of each term and find the highest sum:

3x^2 is 2

x^2y2 is 3

2y is 1

Therefore the degree is 3.

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Which point do the graphs of f and g have in common?

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The point that the graphs of f and g have in common are (1,0)

<h3>How to get the points?</h3>

The given functions are:

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and

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We know that logarithm of 1 is always zero.

This means that irrespective of the base, the y-values of both functions will be equal to 0 at x=1

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2 years ago

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Question:

aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

Let

z ----> the scale factor

$\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}$

The scale factor is equal to

$z=\frac{CB}{C'B'}$

substitute

$z=\frac{4}{8}$

simplify

$z=\frac{1}{2}$

Part B) What is the ratio of the areas (small to large)?

<em>Area of the small triangle</em>

$A=\frac{1}{2}(2)(4)=4\ units^2$

<em>Area of the large triangle</em>

$A=\frac{1}{2}(4)(8)=16\ units^2$

ratio of the areas (small to large)

$ratio=\frac{4}{16}=\frac{1}{4}$

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

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3 years ago

Find the values of x and y.

Harrizon [31]

4x+5x = 90
9x = 90
x = 10

10y + 10 + 5x = 180
10y + 10 +5(10) = 180
10y + 60 = 180
10y = 120
y = 12

answer
<span>d) x = 10, y = 12</span>

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Write the degree of the expression:3x² + x²y2 + 2y? + 10​

Write the degree of the expression:3x² + x²y2 + 2y? + 10