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a_sh-v [17]
3 years ago
6

write the equation of a line that includes the point (1,5) and has a slope of 3 in slope intercept form.

Mathematics
1 answer:
lina2011 [118]3 years ago
7 0
Y=3x+? (1,5)
5=3(1)+?
5=3+?

y=3x+2

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If cos x=8/17, and 270° &lt; x &lt; 360°<br> what is cos(2x)?
svp [43]

Answer:  \bold{-\dfrac{161}{289}}

<u>Step-by-step explanation:</u>

Given: cos x = \dfrac{8}{17}, x is in Quadrant 4

Use Pythagorean Theorem to find sin x:

8² + y² = 17²    

      y² = 17² - 8²

      y² = 289 - 64

      y² = 225

      y = 15

→    sin x = -\dfrac{15}{17}

Use the double angle formula to find cos (2x):

cos (2x) = cos^2 x - sin^2 x\\\\.\qquad=\bigg(\dfrac{8}{17}\bigg)^2-\bigg(-\dfrac{15}{17}\bigg)^2\\\\\\.\qquad=\dfrac{64}{289}-\dfrac{225}{289}\\\\\\.\qquad=-\dfrac{161}{289}

             

8 0
3 years ago
Read 2 more answers
What is the correct symbol?
Nadusha1986 [10]

Answer:

Since 10/9 is greater than 1, multiplying by 10/9 makes the value larger

Step-by-step explanation:

Step 1: Solve the fraction

10/9 = 1.1112

Therefore 10/9 > 1

Step 2: Multiple the fraction by itself

10/9 x 10/9 = 100/81

Convert fraction to decimals

100/81 = 1.2345678901.....

1.234567901 > 1.1112

Therefore 10/9 x 10/9 is bigger than 10/9

3 0
4 years ago
A woodworking artist makes two types of carvings: type X and type Y. He
ivolga24 [154]

Answer:

part C. 3x + 2y <u>< </u>30, 5x + 7y <u><</u> 105

Step-by-step explanation:

Part 1:

spends 3 hours making each type X (3x)-each type x will take 3 hours so as the number of type x increases, the hours will increase by 3.

spends 2 hours making each type Y (2y)-each type y will take 2 hours so as the number of type y increases, the hours will increase by 2.

Part 2:

he can spend up to 30 hours each week making carvings. (<u><</u>30)-because he cannot spend more than 30 hours

Therefore, He has to spend 30 hours or less to make type X and type Y.

3x + 2y <u>< </u>30

Part 3:

His  materials cost him $5 for each type X carving. (5x)-each type x will take $5 so as the number of type x increases, the cost will increase by 5.

His materials cost him $7 for each type Y carving, (7y)-each type y will take $7 so as the number of type y increases, the cost will increase by 7.

Part 4:

he must keep his weekly cost for materials to $105 or less (<u><</u>105)-total cost cannot be more than $105.

Therefore, the total cost of making x and y should be $105 or less.

5x + 7y <u><</u> 105

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6 0
3 years ago
Tyree bought a collectible comic book for $49.62 last year. this year, he sold it for $52.10. find the percent of change of the
lidiya [134]
52.10-49.62=2.48
2.48/49.62 x 100 = 4.998%
The percentage increase in the price is approximately 5 %
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3 years ago
Which equation has a slope m=- 4/3
wariber [46]
Y=mx+b
m=slope

so it is y=-4/3x+b

d is answer
4 0
3 years ago
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