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Xelga [282]
3 years ago
10

Which of the following nonlinear inequalities is graphed below

Mathematics
1 answer:
Rashid [163]3 years ago
4 0

Answer:

(x²/4) + (y²/16) ≤ 1

Step-by-step explanation:

The general form of the ellipse in the graph is

x²/4 + y²/16 = 1

we want to find the inequality which represents the shaded area this will determine whether which of the following 2 choices are correct

Choice 1: x²/4 + y²/16 ≥ 1

Choice 2: x²/4 + y²/16 ≤ 1

we note that point (0,0) lies inside the shaded area. Which means if we substitute (0,0), it should create an equality that is valid.

try choice 1: 0²/4 + 0²/16  = 0 ≥ 1 (not valid because obviously zero is smaller than 1)  

try choice 1: 0²/4 + 0²/16  = 0 ≤ 1 (this is valid, hence choice 2  is the answer)

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Which expression has a value of 22? A. 14 + 2 x 5. B. (14+2) x 5 C. 24 - 6÷ 3. D. (24 - 6) ÷ 3
zimovet [89]

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

A. 14 + 2 × 5 = 14 + 10 = 24 ≠ 22

B. (14 + 2) × 5 = 16 × 5 = 80 ≠ 22

C. 24 - 6 ÷ 3 = 24 - 2 = 22

D. (24 - 6) ÷ 3 = 18 ÷ 3 = 6 ≠ 22

<h3>Answer: C.</h3>
5 0
3 years ago
Read 2 more answers
Over 6 months, Fiona used her online banking account to pay a total of $274.50 for her cell phone services. Her cell phone servi
pentagon [3]

Answer:

45.75

Step-by-step explanation:

you divided 274.50 by 6 and get the answer

4 0
3 years ago
Add the equations.<br> 3x - y = -1<br> - 3x + 3y= 27
harkovskaia [24]

Step-by-step explanation:

3x - 3x -y + 3y = 27-1

2y = 26

y = 13 use this to find the value of x

3x - 13 = -1

3x = -1 + 13

3x = 12

x = 4

3 0
3 years ago
The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of e
Nana76 [90]

Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

5 0
3 years ago
15 POINTS. What is the area of the circle segment/shaded area? Picture included please help. Please answer in a way that will fi
PilotLPTM [1.2K]
I hope this helps you

8 0
3 years ago
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