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laila [671]
3 years ago
14

What is the answer to y=2x+3 and y=3x+5

Mathematics
2 answers:
Studentka2010 [4]3 years ago
4 0

y=2x+3

y=3x+5

so y=y

then. 2x+3=3x+5

3-5= 3x-2x

-2= X

x=-2

Alla [95]3 years ago
3 0

Answer:

(-2,-1)

Step-by-step explanation:

y=2x+3

y=3x+5

so y=y

then:

2x+3=3x+5

3-5= 3x-2x

-2= X

x=-2

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If
arlik [135]

Given:

In a right angle triangle θ is an acute angle and \tan\theta =\dfrac{3}{5}.

To find:

The value of \cos \theta.

Solution:

In a right angle triangle,

\tan \theta=\dfrac{Perpendicular}{Base}

We have,

\tan\theta =\dfrac{3}{5}

It means the ratio of perpendicular to base is 3:5. Let 3x be the perpendicular and 5x be the base.

By using Pythagoras theorem,

Hypotenuse=\sqrt{Perpendicular^2+base^2}

Hypotenuse=\sqrt{(3x)^2+(5x)^2}

Hypotenuse=\sqrt{9x^2+25x^2}

Hypotenuse=\sqrt{34x^2}

Hypotenuse=x\sqrt{34}

In a right angle triangle,

\cos \theta=\dfrac{Base}{Hypotenuse}

\cos \theta=\dfrac{5x}{x\sqrt{34}}

\cos \theta=\dfrac{5}{\sqrt{34}}

Therefore, the value of \cos \theta is \dfrac{5}{\sqrt{34}}.

8 0
2 years ago
What is the sum of natural numbers less than 200 neither divisible by 3 nor by 5
Sveta_85 [38]

Step-by-step explanation:

The required sum 

=(1+2+3+...+199)−(3+6+9+...+198)−(5+10+15+...+195)+(15+30+45+...+195)

=2199(1+199)−266(3+198)−239(5+195)+213(15+195)

 

=199×100−33×201−39×100+13×105=10732

8 0
3 years ago
Read 2 more answers
Jane spends about 1/6 of the day sleeping. How many hours in a day does Jane sleep? How many hours in a week?
steposvetlana [31]

Answer:

Jane spend 4 hours in a day sleeping, and 28 hours in a week.

Step-by-step explanation:

In 1 day, there are 24 hours. 24 multiplied by 1/6 is 4. I know this because 24 x 1/6 = 24/1 x 1/6 = 24/6 = 4/1 = 4.

In 1 week, there are 168 hours. 1/6 multiplied by 168 is 28. I know this because 168 x 1/6 = 168/1 x 1/6 = 168/6 = 28/1 = 28

I would appreciate brainliest.

7 0
3 years ago
A frozen pizza is stored in a grocery store's freezer at - 6°C. During its transport home, its temperature rises 13°C. When the
Rasek [7]
At the start pizza has -6
the temperature rises 13 during the transport, so it should have -6+13=7
because the temperature goes down 19 when pizza is put in the home freezer, the final temperature should be 7-19=-12
so b is the correct answer
if the temperature rises -> +
if the temperature goes down -> -
3 0
3 years ago
In the diagram, the measure of angle 8 is 124°, and the measure of angle 2 is 84°. A transversal intersects 2 lines to form 8 an
Karolina [17]

Answer:

56 i think...

Step-by-step explanation:

i am taking the test

6 0
3 years ago
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