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3 years ago

Is (2, 2) a solution of the system y = x and x + 2y = 6?

Mathematics

2 answers:

tensa zangetsu [6.8K]3 years ago

8 0

Answer:

Yes.

Step-by-step explanation:

2=2, yes

2+2(2)=2+4=6, yes

Mariana [72]3 years ago

7 0

Answer:

yes

Step-by-step explanation:

Substitute x = 2 and y = 2 into both equations and if both are true then (2, 2) is a solution of the system.

y = x, that is

2 = 2 ← True

x + 2y = 6, that is

2 + 2(2) = 2 + 4 = 6 ← True

Thus (2, 2) is a solution of the system

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The line with equation a + 4b = 0 coincides with the terminal side of an angle θ in standard position and cos θ>0 . What is t

Nikitich [7]

Answer:

$\frac{-1}{\sqrt{17} }$

Step-by-step explanation

We have given that equation of line a+4b=0

⇒4b= -a

⇒ $b= \frac{-a}{4}$

slope of line = $tan\theta =\frac{P}{B}= \frac{-1}{4}$

⇒ $tan\theta$ is negative therefore it lies into 4th quadrant

By, Pythagoras theorem $H^2=P^2+B^2$

by putting value of P= -1 & B=4

the value of $H=\sqrt{17}$

with the given condition $cos\theta>0$

i.e. $\theta$ ∈ (3π/2, 2π)

now, $sin\theta= \frac{P}{H}= \frac{-1}{\sqrt{17}}$

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3 years ago

Caleb made 6 quarts of trail mix for his camping trip. Each week,he ate 4 pints of the trail mix. How many weeks did Caleb have

mezya [45]

Answer:

3 weeks

Step-by-step explanation:

6 quarts = 12 pints

12 divided by 3 = 4

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3 years ago

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If the sum of the measures of the interior angles of a polygon is 2340, find the number of sides of the polygon.

vladimir1956 [14]

14

The polygon is a 14gon / it has 14 sides

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4 years ago

What is the solution to 3x + 2.4 ≥ 3.0

vichka [17]

3x _> 3.0 - 2.4
= 3x _> 3/5
= 1/5

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The number of mosquitoes at the beach has increased by 50% every year since 2012. In 2012, there were 2,500 mosquitoes. How many

xxTIMURxx [149]

Answer:

Step-by-step explanation:

2012 = 2500

2500 x .50 = 1250

2500 + 1250

2013 = 3750

3750 x .50 =

3750 + 1875

2014 = 5625

5625 x .50 = 2812.5

5625 + 2812.5

2015= 8437.5

8437.5 x .50 = 4218.75

8437.5 + 4218.75

2016= 12656.25

12656.25 x .50 = 6328.125

12656.25 + 6328.125

2017= 18984.375

18984.375 x .50 = 9492.1875

18984.375 + 9492.1875

2018= 28,476.5625‬

3 0

3 years ago