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3 years ago

I need help with this problem!!

Mathematics

1 answer:

pychu [463]3 years ago

5 0

C because it has the x variables in the numerator. This is wrong because the x axis represents horizontal movement and slope is rise over run, not run over rise

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Express the product of (1/5x + 1) and (1/6x + 5/4) as a trinomial in simplest form

Greeley [361]

$(\frac{1}{5}x+1)(\frac{1}{6}x+\frac{5}{4})$

Use distributive property to remove the parentheses:

$(a+b)(c+d)=ac+ad+bc+bd$ $\begin{gathered} =\frac{1}{5}x*\frac{1}{6}x+\frac{1}{5}x*\frac{5}{4}+1*\frac{1}{6}x+1*\frac{5}{4} \\ \\ Multiplication\text{ }of\text{ }fractions: \\ \frac{a}{b}*\frac{c}{d}=\frac{a*c}{b*d} \\ \\ =\frac{1}{30}x^2+\frac{5}{20}x+\frac{1}{6}x+\frac{5}{4} \\ \\ =\frac{1}{30}x^2+\frac{1}{4}x+\frac{1}{6}x+\frac{5}{4} \\ \\ Addition\text{ }of\text{ }fractions: \\ \frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd} \\ \\ =\frac{1}{30}x^2+(\frac{6x+4x}{24})+\frac{5}{4} \\ \\ =\frac{1}{30}x^2+\frac{10}{24}x+\frac{5}{4} \\ \\ Simplify: \\ =\frac{1}{30}x^2+\frac{5}{12}x+\frac{5}{4} \end{gathered}$ Then, the product in the simplest form is: $\frac{1}{30}x^2+\frac{5}{12}x+\frac{5}{4}$

8 0

1 year ago

100 POINTS

Andru [333]

Answer:

(1, -7)

Step-by-step explanation:

P(3,4)

3 up ---> y = 4 + 3 = 7

2 left ----> x = 3 - 2 = 1

new point (1, 7)

after 180 rotation around origin

point is (-1, -7)

now reflection over y-axis

(1, -7)

6 0

3 years ago

Read 2 more answers

The area of a rectangle is 30+12x what are 3 possibilities for the length and width of the rectangle

Stolb23 [73]

In order to find the three possibilities, you must first think of common factors between 30 and 12:

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Factors of 12: 1, 2, 3, 4, 6, 12

We can find three common factors between the two numbers: 2, 3, and 6. So these are three widths that we can use. The length can be found by factoring out the numbers from 30+12x (we can't factor out x):

30+12x=2(15+6x) Width: 2 Length: 15+6x

20+12x=3(10+4x) Width: 3 Length: 10+4x

20+12x=6(5+2x) Width: 6 Length: 5+2x

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3 years ago

Discovery of Trigonometry: #28 What is the length of CA? *

Kamila [148]

Answer:

sqrt(3)

Step-by-step explanation:

Each side (donated by small letter ) is opposite to its angle for example :

Side c is opposite to angle C which is 90

side b is opposite to angle B which is 60

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3 years ago

What is the area of this face?

Paladinen [302]

Answer:

242 ft^2

Step-by-step explanation:

15 x 14 + 4 x 8 = 242 ft^2

(break down the polygon into two rectangles)

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3 years ago