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3 years ago

A linear function has a slope of 8/3 and passes through the point (0,5). What is the equation of the line?

2 answers:

3 0

This problem already gave us the slope and y-intercept, so all that's left to do is plug those two values into slope-intercept form.

Slope-Intercept Form: y = mx + b

---m is the slope

---b is the y-intercept

y = 8/3x + 5

Hope this helps!! :)

jok3333 [9.3K]3 years ago

3 0

y = 8/3x + 5

hope this helps !! :)

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The ratio of the measures of the angles in a triangle is 2:6:8 find the measures of the largest angle

aalyn [17]

Answer:

90°

Step-by-step explanation:

sum the parts of the ratio 2 + 6 + 8 = 16

The sum of the 3 angles in a triangle = 180°

divide 180 by 16 to find the value of one part of the ratio.

$\frac{180}{16}$ = 11.25° ← 1 part of the ratio

8 parts = 8 × 11.25° = 90°

The largest angle in the triangle is 90°

4 0

4 years ago

Find the complex fourth roots of 81(cos(3π/8)+isin(3π/8)). a) Find the fourth root of 81. b) Divide the angle in the problem by

WARRIOR [948]

Answer:

The answer is below

Step-by-step explanation:

Let a complex z = r(cos θ + isinθ), the nth root of the complex number is given as:

$z_1=r^{\frac{1}{n} }(cos(\frac{\theta +2k\pi}{n} )+isin(\frac{\theta +2k\pi}{n} )),\\k=0,1,2,.\ .\ .,n-1$

Given the complex number z = 81(cos(3π/8)+isin(3π/8)), the fourth root (i.e n = 4) is given as follows:

$z_{k=0}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(0)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(0)\pi}{4} ))=3[cos(\frac{3\pi}{32} )+isin(\frac{3\pi}{32})] \\z_{k=0}=3[cos(\frac{3\pi}{32} )+isin(\frac{3\pi}{32})]\\\\z_{k=1}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(1)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(1)\pi}{4} ))=3[cos(\frac{19\pi}{32} )+isin(\frac{19\pi}{32})] \\z_{k=1}=3[cos(\frac{19\pi}{32} )+isin(\frac{19\pi}{32})]\\\\$

$z_{k=2}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(2)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(2)\pi}{4} ))=3[cos(\frac{35\pi}{32} )+isin(\frac{35\pi}{32})] \\z_{k=2}=3[cos(\frac{35\pi}{32} )+isin(\frac{35\pi}{32})]\\\\z_{k=3}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(3)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(3)\pi}{4} ))=3[cos(\frac{51\pi}{32} )+isin(\frac{51\pi}{32})] \\z_{k=3}=3[cos(\frac{51\pi}{32} )+isin(\frac{51\pi}{32})]$

3 0

3 years ago

I need help trying to find the trig function for this problem

Anon25 [30]

9514 1404 393

Answer:

x ≈ 136.7 ft

Step-by-step explanation:

As you have marked, the relevant sides are the adjacent side and the hypotenuse. The mnemonic SOH CAH TOA reminds you ...

Cos = Adjacent/Hypotenuse

For this triangle, that means ...

cos(43°) = (100 ft)/x

x = (100 ft)/cos(43°) . . . . . . . . . . multiply both sides by x/cos(43°)

x ≈ 136.73 ft

The length x is about 136.7 feet.

5 0

3 years ago

I need to know how to do these asap!!

ludmilkaskok [199]

Answer:

Step-by-step explanation:

y =4/3 x+4

slope intercept form

y = mx+b

the y intercept is 4 (0,4)

and the slope is 4/3 which is change in y over change in x

we go up 4 to the right 3

we can rewrite the slope as -4/-3

so we can go down 4 and to the left 3

this would be point (-3,0)

we have 2 points marked, now draw a line throught them

8 0

3 years ago

How do you write 308,800 in expanded form?

masya89 [10]

Answer:

300,000 8,000 800 i think sorry if i got it wrong

Step-by-step explanation:

8 0

3 years ago

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