Indicated operation of 2/3 + 3/8

the equation of a line is y=-1/2x+6. Write an equation in point-slope form for the same line. Explain the steps that you used.

Citrus2011 [14]

Y = -1/2x + 6.....the slope is -1/2 and the y int = 6 or (0,6)

y - y1 = m(x - x1)
slope(m) = -1/2
(0,6)....x1 = 0 and y1 = 6
now we sub
y - 6 = -1/2(x - 0) <==

** You basically just label ur variables and sub them into the point slope form

4 0

2 years ago

What are the two solutions of <br><br>2|2y-1| + 5 = 19

Bess [88]

Answer:

y=4

y=−3

Step-by-step explanation:

8 0

2 years ago

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the surface area of a sphere is found using the formula SA=4πr^2 where r is the radius. if the surface area of a sphere is 144π

IgorC [24]

144= 4. 3.14.r²
r² = 144/12.56
r=√11.46
r= 3.38

7 0

3 years ago

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What is the solution to |x + 2| < 1?

Katyanochek1 [597]

Answer:

-3 <x <-1

Step-by-step explanation:

|x + 2| < 1

There are two solutions, one positive and one negative ( remember to flip the inequality for the negative)

x+2 <1 and x+2 > -1

Subtract 2 from each side

x+2-2 < 1-2 and x+2-2 > -1-2

x < -1 and x >-3

-3 <x <-1

8 0

2 years ago

8 freshmen, 9 sophomores, 9 juniors, and 7 seniors are eligible to be on a committee.

loris [4]

Answer: 11113200

Step-by-step explanation:

We know that , the number of combination of choosing r things from n things is given by :-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-

$^8C_4\times ^9C_5\times^9C_2\times^7C_3$

$=\dfrac{8!}{(8-4)!4!}\times\dfrac{9!}{(9-5)!5!}\times\dfrac{9!}{(9-2)!2!}\times\dfrac{7!}{3!(7-3)!}\\\\ =\dfrac{8\times7\times6\times5\times4!}{4!4!}\times\dfrac{9\times8\times7\times6\times5!}{4!5!}\times\dfrac{9\times8\times7!}{7!2!}\times\dfrac{7\times6\times5\times4!}{3!4!}\\\\=11113200$

∴ The number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors = 11113200

6 0

3 years ago