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2 years ago

Graph the line with the equation y= x - 7

Mathematics

1 answer:

Zepler [3.9K]2 years ago

3 0

Put ur first point at -7... Then rise 1 run 1 and keep going.

hope it helps comment if you have any questions and have an amazing day

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If 180° < α < 270°, cos⁡ α = −817, 270° < β < 360°, and sin⁡ β = −45, what is cos⁡ (α + β)?

eduard

Answer:

$cos(\alpha+\beta)=-\frac{84}{85}$

Step-by-step explanation:

we know that

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

Remember the identity

$cos^{2} (x)+sin^2(x)=1$

step 1

Find the value of $sin(\alpha)$

we have that

The angle alpha lie on the III Quadrant

The values of sine and cosine are negative

$cos(\alpha)=-\frac{8}{17}$

Find the value of sine

$cos^{2} (\alpha)+sin^2(\alpha)=1$

substitute

$(-\frac{8}{17})^{2}+sin^2(\alpha)=1$

$sin^2(\alpha)=1-\frac{64}{289}$

$sin^2(\alpha)=\frac{225}{289}$

$sin(\alpha)=-\frac{15}{17}$

step 2

Find the value of $cos(\beta)$

we have that

The angle beta lie on the IV Quadrant

The value of the cosine is positive and the value of the sine is negative

$sin(\beta)=-\frac{4}{5}$

Find the value of cosine

$cos^{2} (\beta)+sin^2(\beta)=1$

substitute

$(-\frac{4}{5})^{2}+cos^2(\beta)=1$

$cos^2(\beta)=1-\frac{16}{25}$

$cos^2(\beta)=\frac{9}{25}$

$cos(\beta)=\frac{3}{5}$

step 3

Find cos⁡ (α + β)

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

we have

$cos(\alpha)=-\frac{8}{17}$

$sin(\alpha)=-\frac{15}{17}$

$sin(\beta)=-\frac{4}{5}$

$cos(\beta)=\frac{3}{5}$

substitute

$cos(\alpha+\beta)=-\frac{8}{17}*\frac{3}{5}-(-\frac{15}{17})*(-\frac{4}{5})$

$cos(\alpha+\beta)=-\frac{24}{85}-\frac{60}{85}$

$cos(\alpha+\beta)=-\frac{84}{85}$

4 0

3 years ago

1. Over the six months what was the average market price per share?

lozanna [386]

A) The average market price is (12 + 8 + 10 + 13 + 14 + 8) / 6 = $10.83

b) The total amount spent was: 12*8 + 8*12 + 10*10 + 13*7 + 14*7 + 8*12 = $577. The total number of shares was: 8 + 12 + 10 + 7 + 7 + 12 = 56. Therefore the average price per share was $577 / 56 shares = $10.30/share.
c) Since the cost per share in June was $12, and her average cost was $10.30, dollar-cost averaging worked in her favor since her average cost was lower.

6 0

3 years ago

Consider a circle whose size can vary. Let r r represent the radius of the circle (in cm) and let C C represent the circumferenc

Ket [755]

Answer:

f(r) = 2πr

Step-by-step explanation:

You know the formula for circumference in terms of radius is ...

C = 2πr

You are being asked to write this as a function named "f". That will be ...

f(r) = 2πr

8 0

3 years ago

Read 2 more answers

The difference between two numbers is 12. Four times the larger number decreased by 25 equals 48 increased by 3 times the smalle

Lostsunrise [7]

Step-by-step explanation:

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Math

The difference between two numbers is 12. Three times the larger number is seven times the smaller. What are the two numbers?

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Expert Answers info

JEEW-M | CERTIFIED EDUCATOR

Let us say the two numbers are x and y and x>y.

The data we have are;

Difference between the numbers are 12.

3 times larger number is equal to 7 times smaller number.

Then we can write;

----(1)

----(2)

From (1) we can say

Then substituting to (2) gives;

Then;

7 0

3 years ago

Find the 1st , 2nd (median) and 3rd quartile of the set of numbers 6,8,2,6,7,9 ?

zubka84 [21]

Answer:

at first we put the numbers in order from least to greatest

2 , 6 , 6 , 7 , 8 , 9

1st quartile = 6

median = (6+7)/2 = 6.5

3rd quartile = 8

5 0

3 years ago