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2 years ago

Solve by elimination 5x+6y =-2 15x + 4y= 22

Mathematics

2 answers:

Ipatiy [6.2K]2 years ago

8 0

Answer:

(2,-2)

Step-by-step explanation:

sineoko [7]2 years ago

7 0

Answer:

(2, -2)

Step-by-step explanation:

Multiply the first equation by -3,and multiply the second equation by 1.

−3(5x+6y=−2)

1(15x+4y=22)

Becomes:

−15x−18y=6

15x+4y=22

Add these equations to eliminate x:

−14y=28

Then solve−14y=28for y:

−14y=28

−14y

−14

(Divide both sides by -14)

y=−2

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

5x+6y=−2

Substitute−2foryin5x+6y=−2:

5x+(6)(−2)=−2

5x−12=−2(Simplify both sides of the equation)

5x−12+12=−2+12(Add 12 to both sides)

5x=10

(Divide both sides by 5)

x=2

Answer:

x=2 and y=−2

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This is a pre calculus question that I need help with, serious answer PLEASE and thank you! Will give brainliest.

IRISSAK [1]

The wording of this question is a bit confusing... You can't write a sequence in sigma notation, but rather a series or sum. I think the question is asking you to write the sum of the sequence,

$\dfrac12,\dfrac14,\dfrac18,\ldots,\dfrac1{64}$

which would be

$\dfrac12+\dfrac14+\dfrac18+\cdots+\dfrac1{64}$

in sigma notation.

To do this, notice that the denominator in each term is a power of 2, starting with $2^1=2$ and ending with $2^6=64$ . So in sigma notation, this series is

$\displaystyle\sum_{n=1}^6\frac1{2^n}$

4 0

2 years ago

Use your understanding of the unit circle and trigonometric functions to find the values requested.

vfiekz [6]

Answer:

a) For this case we can use the fact that $sin (\pi/3) = \frac{\sqrt{3}}{2}$

And for this case since we ar einterested on $-\frac{\pi}{3}$ and we know that the if we are below the y axis the sine would be negative then:

$sin (-\pi/3) = -\frac{\sqrt{3}}{2}$

b) From definition we can use the fact that $tan x= \frac{sin x}{cos x}$ and we got this:

$tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}$

We can use the notabl angle $\pi/4$ and we know that :

$sin (\pi/4) = cos(\pi/4) = \frac{\sqrt{2}}{2}$

Then we know that $5\pi/4$ correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:

$tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}= \frac{\frac{sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1$

Step-by-step explanation:

For this case we can use the notable angls given on the picture attached.

Part a

For this case we can use the fact that $sin (\pi/3) = \frac{\sqrt{3}}{2}$

And for this case since we ar einterested on $-\frac{\pi}{3}$ and we know that the if we are below the y axis the sine would be negative then:

$sin (-\pi/3) = -\frac{\sqrt{3}}{2}$

Part b

From definition we can use the fact that $tan x= \frac{sin x}{cos x}$ and we got this:

$tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}$

We can use the notabl angle $\pi/4$ and we know that :

$sin (\pi/4) = cos(\pi/4) = \frac{\sqrt{2}}{2}$

Then we know that $5\pi/4$ correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:

$tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}= \frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1$

6 0

2 years ago

What are the missing terms in the sequence?

pashok25 [27]

Answer:

12, 4, 4/3

Step-by-step explanation:

The pattern is that its 1/3 the previous term...

4 0

2 years ago

Read 2 more answers

Order of Operations: Missing Numbers, please help

avanturin [10]

1. Answer is 14.

you first do 8x6 cause of BEDMAS, which is 48. then subtract 12, which gives you 36. then subtract 36 from 50 because 50 is the total amount it should be on both sides.

50 - 36 = 14

2. Answer is 8

5x3 is 15, + 2 is 17. then 20 - 17 gives you 3. you then have 24 divided by a number, and that number is 8 because 24 divided by 8 gives you three

5 0

2 years ago

2. A certain TV can be purchased from the manufacturer for $160. A certain online retailer has a standard markup of 30%, and a c

BabaBlast [244]

100+30=130
100+40=140

online price is 130% or original
superstore price is 140% or original
the difference bewteen them is 140-130=10% of the original price

A. 1.3 times 160=208=online
1.4 times 160=224=superstore

B. difference is 224-208=16=10% of 160
it is 10% of the original price

A. online=$208
superstore=$224

B. $16, this is 10% of the original price

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2 years ago