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4 years ago

3(x+5)-2x+9 combine like terms to simplify the expression

Mathematics

1 answer:

Mrrafil [7]4 years ago

5 0

Answer: x + 24

Step-by-step explanation:

To simplify the expression, 3(x+5)-2x+9

Step 1: open the bracket

3x + 15 - 2x +9

Step 2: Combine like terms

3x -2x + 9 +15

=x + 24

I hope this is clear

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tankabanditka [31]

Answer:

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Step-by-step explanation:

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3 years ago

ANTONII [103]

Right triangles are triangles that have the measure of one angle to be 90 degrees

<h3>How to calculate the missing parts</h3>

a. A = 40°10'13", hypotenuse = 402.36 ft

Convert the angle to degrees

$A=40.17^o$

Start by calculating the opposite side using the following sine ratio

$\sin(A) = \frac{Opposite}{Hypotenuse}$

So, we have:

$\sin(40.17) = \frac{Opposite}{402.36}$

Cross multiply

$Opposite = 402.36 * \sin(40.17)$

$Opposite = 259.55$

The adjacent is then calculated using the following cosine ratio

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

So, we have:

$\cos(40.17) = \frac{Adjacent}{402.36}$

Cross multiply

$Adjacent = 402.36 * \cos(40.17)$

$Adjacent = 307.46$

Hence, the missing parts are:

Adjacent = 307.46 and Opposite = 259.55

b. A = 62°09'15", hypotenuse = 338.74 m

Convert the angle to degrees

$A=62.15^o$

Start by calculating the opposite side using the following sine ratio

$\sin(A) = \frac{Opposite}{Hypotenuse}$

So, we have:

$\sin(62.15) = \frac{Opposite}{338.74}$

Cross multiply

$Opposite = \sin(62.15) *338.74$

$Opposite = 299.50$

The adjacent is then calculated using the following cosine ratio

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

So, we have:

$\cos(62.15) = \frac{Adjacent}{338.74}$

Cross multiply

$Adjacent = \cos(62.15) * 338.74$

$Adjacent = 158.25$

Hence, the missing parts are:

Adjacent = 158.25 and Opposite = 299.50

c. A = 36°22'10", adjacent side = 360.41 ft

Convert the angle to degrees

$A=36.37^o$

Start by calculating the hypotenuse using the following cosine ratio

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

So, we have:

$\cos(36.37) = \frac{360.41}{Hypotenuse}$

Make Hypotenuse the subject

$Hypotenuse = \frac{360.41}{\cos(36.37)}$

$Hypotenuse = 447.60$

The opposite side is then calculated using the following cosine ratio

$\sin(A) = \frac{Opposite}{Hypotenuse}$

So, we have:

$\sin(36.37) = \frac{Opposite}{447.60}$

Cross multiply

$Opposite = 447.60 * \sin(36.37)$

$Opposite = 265.43$

Hence, the missing parts are:

Hypotenuse = 447.60 and Opposite = 265.43

d. Hypotenuse = 428.29 m, opposite side =397.06 m

The adjacent is calculated as:

$Adjacent = \sqrt{Hypotenuse^2 - Opposite^2$

So, we have:

$Adjacent = \sqrt{428.29^2 - 397.06^2$

$Adjacent = 160.55$

Hence, the missing part is:

Adjacent = 160.55

e. Hypotenuse = 409.31 ft, adjacent side = 274.82 ft

The opposite is calculated as:

$Opposite= \sqrt{Hypotenuse^2 - Adjacent ^2$

So, we have:

$Opposite= \sqrt{409.31^2 - 274.82^2$

$Opposite= 303.33$

Hence, the missing part is:

Opposite= 303.33

f. Opposite side = 375.82 m, adjacent side= 276.05 m

The hypotenuse is calculated as:

$Hypotenuse= \sqrt{Opposite^2 + Adjacent ^2$

So, we have:

$Hypotenuse= \sqrt{375.82^2 + 276.05^2$

$Hypotenuse= 466.31$

Hence, the missing part is:

Hypotenuse= 466.31

Read more about right triangles at:

brainly.com/question/2437195

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3 years ago

Name the independent variable (IV) and the dependant variable (DV) for the hypothesis. There will be one IV and one DV for the h

Fittoniya [83]

Answer:B

Step-by-step explanation:

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4 years ago

6.) Michael & Melissa both claim to be earning a C average, 70% to 79%, in their Latin Class. Use the table below to explain

lyudmila [28]

To figure out the average of Michael and Melissa we must add up all their test scores and divide the by 7; which is the number of tests they took.

Michael:

(80+76+73+70+40+25+10)/7

Melissa:

(88+83+75+70+60+65+62)/7

Michael's average is 53.4

Melissa's average is 71.9

So Melissa is earning a C in Latin.

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2 years ago

The difference of the square of a number and 24 is equal to 5 times that number. Find the negative solution.

SVEN [57.7K]

Answer:

n = -3

Step-by-step explanation:

The difference of the square of a number and 24 is equal to 5 times that number. Find the negative solution.

I'm going to call the number "n."

n² - 24 = 5n subtract 5n from both sides to get the equation equal to zero

- 5n -5n

n² - 5n - 24 = 0 factor the trinomial into the multiplicatin of two binomials

we need factors (numbers that multiply) to -24 that add up to

-5. The only factors for -24 that will add up to -5 are -8 and 3.

(n-8)(n+3) = 0 set each binomial equal to zero and solve for n

n-8 = 0 or n+3 = 0

+8 +8 -3 -3

n = 8 or n = -3 n = -3 is the negative solution

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3 years ago