Please help will give brainliest if correct

Simplify, if x = 2 and y = -1: 3(y + 2)^2 + 3x

svet-max [94.6K]

Answer:

9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Step-by-step explanation:

Step 1: Define

3(y + 2)² + 3x

x = 2

y = -1

Step 2: Evaluate

Substitute: 3(-1 + 2)² + 3(2)
Add: 3(1)² + 3(2)
Exponents: 3(1) + 3(2)
Multiply: 3 + 6
Add: 9

5 0

3 years ago

m bottles of water are x ounces each. The water from these bottles was poured into b similar glass. All glasses are full. How ma

IceJOKER [234]

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Use the given point on the terminal side of angle θ to find the value of the trigonometric function indicated.

Fofino [41]

Answer: 19) 117° 20) 53°

21) 229° 22) 119°

23) 155° 24) 323°

Step-by-step explanation:

Use Pythagorean Theorem to find r: x² + y² = r²

19) x = $-\sqrt{17}$ , y = 8, r = 9

$\cos \theta=\dfrac{x}{r} \rightarrow \quad \cos \theta =\dfrac{-\sqrt{17}}{9} \rightarrow \quad \theta = cos^{-1}\bigg(\dfrac{-\sqrt{17}}{9}\bigg)\rightarrow \quad \theta = \large\boxed{117^o}$

20) x = 3, y = 4, r = 5

$\cos \theta=\dfrac{x}{r} \rightarrow \quad \cos \theta =\dfrac{3}{5} \rightarrow \quad \theta = cos^{-1}\bigg(\dfrac{3}{5}\bigg)\rightarrow \quad \theta = \large\boxed{53^o}$

21) x = $-\sqrt7$ , y = -3, r = 4

$\sin \theta=\dfrac{y}{r} \rightarrow \quad \sin \theta =\dfrac{-3}{4} \rightarrow \quad \theta = sin^{-1}\bigg(\dfrac{-3}{4}\bigg)\rightarrow \quad \theta = \large\boxed{229^o}$

22) x = $-\sqrt{15}$ , y = 7, r = 8

$\tan \theta=\dfrac{y}{x} \rightarrow \quad \tan \theta =\dfrac{7}{-\sqrt{15}} \rightarrow \quad \theta = tan^{-1}\bigg(\dfrac{7}{-\sqrt{15}}\bigg)\rightarrow \quad \theta = \large\boxed{119^o}$

23) x = -13, y = 6, r = $\sqrt{205}$

$\tan \theta=\dfrac{y}{x} \rightarrow \quad \tan \theta =\dfrac{6}{-13} \rightarrow \quad \theta = tan^{-1}\bigg(\dfrac{6}{-13}\bigg)\rightarrow \quad \theta = \large\boxed{155^o}$

24) x = 4, y = -3, r = 5

$\sin \theta=\dfrac{y}{r} \rightarrow \quad \sin \theta =\dfrac{-3}{5} \rightarrow \quad \theta = sin^{-1}\bigg(\dfrac{-3}{5}\bigg)\rightarrow \quad \theta = \large\boxed{323^o}$

8 0

3 years ago

Find each measure. 30 points

Stella [2.4K]

Try this option (with short explanation):

15. m∠BAC=(180°-m∠ABC)/2=(180-60)/2=60°;

16. m∠SRT=(180-m∠STR)/2=(180-50)/2=65°;

17. if m∠TPR=60° and TP=RP=4, then m∠PRT=m∠PRT=m∠TPR=60°, then TR=TP=RP=4. Finally, TR=4;

18. if m∠ABC=m∠BAC, then AC=CB. Filnally, CB=3.

4 0

3 years ago

Brookfield Furniture needs to ship 119 couches across the country. If they can fit 9 couches in each truck, how many couches wil

11Alexandr11 [23.1K]

Answer:

2

Step-by-step explanation:

to find the number of couches in the partially filled truck, divide 119 by 9

119/9 = 13.2222

so 13 cars will contain 9 couches packed fully

number of trucks partially filled = 119 - (13 x 9) = 2

8 0

3 years ago