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2 years ago

Evaluate the function f(x) = -4x + 2, when x = -1.

Mathematics

1 answer:

Mkey [24]2 years ago

3 0

Answer:

Option D

Step-by-step explanation:

f(x) = -4x + 2

f(-1) = -4(-1) + 2 = 4 + 2 = 6

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find the sum of the interior angles of the following polygons.1)Pentagon. 2)hexagon. 3)heptagon. 4)octagon.

sergejj [24]

Answer:

Sum of interior angles of polygon = (n-2)*180

1) Pentagon:

(5-2)*180= 540

2)Hexagon:

(6-2)*180= 720

3) Heptagon:

(7-2)*180= 900

4) Octagon:

(8-2)*180= 1080

3 0

2 years ago

Please help me out :P

Veseljchak [2.6K]

cos θ = $\frac{-4\sqrt{65} }{65}$ , sin θ = $\frac{-7\sqrt{65} }{65}$ , cot θ = 4/7, sec θ = $\frac{-\sqrt{65} }{4}$ , cosec θ = $\frac{-\sqrt{65} }{7}$

<h3>What are trigonometric ratios?</h3>

Trigonometric Ratios are values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Sin θ: Opposite Side to θ/Hypotenuse

Tan θ: Opposite Side/Adjacent Side & Sin θ/Cos

Cos θ: Adjacent Side to θ/Hypotenuse

Sec θ: Hypotenuse/Adjacent Side & 1/cos θ

Analysis:

tan θ = opposite/adjacent = 7/4

opposite = 7, adjacent = 4.

we now look for the hypotenuse of the right angled triangle

hypotenuse = $\sqrt{7^{2} + 4^{2} }$ = $\sqrt{49+16}$ = $\sqrt{65}$

sin θ = opposite/ hyp = $\frac{7}{\sqrt{65} }$

Rationalize, $\frac{7}{\sqrt{65} }$ x $\frac{\sqrt{65} }{\sqrt{65} }$ = $\frac{7\sqrt{65} }{65}$

But θ is in the third quadrant(180 - 270) and in the third quadrant only tan and cot are positive others are negative.

Therefore, sin θ = - $\frac{7\sqrt{65} }{65}$

cos θ = adj/hyp = $\frac{4}{\sqrt{65} }$

By rationalizing and knowing that cos θ is negative, cos θ = - $\frac{-4\sqrt{65} }{65}$

cot θ = 1/tan θ = 1/7/4 = 4/7

sec θ = 1/cos θ = 1/ $\frac{4}{\sqrt{65} }$ = - $\frac{-\sqrt{65} }{4}$

cosec θ = 1/sin θ = 1/ $\frac{\sqrt{65} }{7}$ = $\frac{-\sqrt{65} }{7}$

Learn more about trigonometric ratios: brainly.com/question/24349828

#SPJ1

5 0

1 year ago

Which ratio is porportional to 18/21? A.2/3 B. 30/35 C. 36/48 D.1/3

defon

You can solve this problem by applying the proccedure below:

You have:

a) 18/21=2/3
18x3/21x2
36≠42 (2/3 is not proportinal to 18/21).

b)18/21=30/35
18x35/21x30
630=630 (30/35 is proportional to 18/21)

c)18/21=36/48
18x48/21x36
864≠756 (36/48<span> is</span><span> not proportinal to 18/21)
</span>
d)18/21=1/3
18x3/21x1
54≠21 (<span> 1/3 is</span><span> not proportinal to 18/21)
</span>
Therefore, you can conclude that the correct option is: B.30/35

8 0

2 years ago

9 times the sum of 8 and y

Naya [18.7K]

Answer:

9(8+y)

Step-by-step explanation:

simple addition, plz answer my question posted on my profile under "questions asked" and click my recent one. it would mean a lot.... thanks!!

8 0

2 years ago

Read 2 more answers

The table below shows the typical hours worked by employees at a company. A salaried employee makes $67,000 per year. Hourly emp

ikadub [295]

Answer:

n k

Step-by-step explanation:

6 0

2 years ago