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kipiarov [429]
1 year ago
10

11. (21x² - 6x +14) + (x²-3x+18)

Mathematics
2 answers:
Furkat [3]1 year ago
6 0

Answer:

22x^2-9x+32

Step-by-step explanation:

(21x² - 6x +14) + (x²-3x+18)

To add, we need to combine like terms

21x^2+x^2     -6x-3x    +14+18

22x^2-9x+32

Inessa [10]1 year ago
5 0

Answer:

22x² - 9x + 32

Step-by-step explanation:

(21x² - 6x +14) + (x²-3x+18)

Get rid of the parenthesis:

21x² - 6x + 14 + x² - 3x + 18

Group like terms:

22x² - 9x + 32

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A surveyor wishes to determine the height of a mountain. At a given position he measures the angle of elevation to the top as 43
Usimov [2.4K]

Answer:

4,486.93 ft

Step-by-step explanation:

Let 'h' be the height of the mountain and 'x' be the horizontal distance between the first position measured and the top of the mountain.

Two right triangles can be modeled such that their tangent relationships yield:

tan(43.66) = \frac{h}{x}\\tan(38.2) = \frac{h}{x+1000}

Solving the linear system:

x= \frac{h}{tan(43.66)}\\x = \frac{h}{tan(38.2)} -1000\\\frac{h}{tan(43.66)}=\frac{h}{tan(38.2)} -1000\\1000 = 0.222869*h\\h=4,486.93\ ft

The mountain is 4,486.93 ft high.

7 0
3 years ago
Expand and simplify<br>2(2y + 1) + 2(5y - 3)​
GarryVolchara [31]

Answer:

14y-4

Step-by-step explanation:

Distribute 2 to both the left and right side.

Combine like terms.

14y-4

7 0
3 years ago
I'm not sure about 38 - 53 please help! :)
enot [183]
Just do for example on number 38 you will do 6.8/1000= 0.0068 which is the answer
4 0
3 years ago
I need this asap pls<br> (will give brainliest)
sesenic [268]

Step-by-step explanation:

I am thinking the X axis. if wrong, sorry. but I am really thinking that is the answer

3 0
2 years ago
An angle measures 38° more than the measure of its complementary angle. What is the measure of each angle?
seropon [69]
Answer: 38° and 52°

Steps:
x + 38° = 90°
x = 90° - 38°
x = 52°

90° - 52° = 38°
6 0
3 years ago
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