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andrey2020 [161]
2 years ago
14

A line with a slope of -4 has a coordinate of (0,3). If the other coordinate is (6,t),

Mathematics
1 answer:
s2008m [1.1K]2 years ago
7 0

Answer:

Alrighty! So this is what we know:

Slope (m) = (-4)

Co-ordinate (0,3)

Co-ordinate 2 (6,t)

t = ?

Let's find our equation...

y=mx+b <-- just plug what we know in...

3=(-4)0+b

3=0+b

b=3

We just found b! woohoo

Now what is t? t is a value we need to know WHICH IS the y value of a co-ordinate that corresponds to when x is 6, as we know a co-ordinate is expressed as --> (x value, y value).

SO-

t=y

plug it in our equation...

y=mx+b

t=(-4)x+3

t=(-4)(6)+3

t=(-24)+3

t=(-21)

SOOOOOOOO WE HAVE OUR T!! just write a therefore statement like "therefore the value of t is -21." and you're set! hope this helped, any questions? ask in the comment section. :)

Step-by-step explanation:

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3 years ago
A teepee is designed to have a diameter of 10 ft and a volume of 366ft³ what is the height? A.15ft , b.14 ft, c 5ft, or 1 ft
Katarina [22]

Answer:

B.  14 ft approx

Step-by-step explanation:

Given data

A teepee  has a conical shape

Diameter= 10ft

radius= 5 ft

Volume = 366ft³

Height = ????

The expression for the volume is

V= 1/3πr^2 h

substitute

366= 1/3*3.142*5^2*h

366= 1/3*78.55*h

366= 26.18h

h= 366/26.18

h=13.98 ft

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5 0
3 years ago
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What is the equation of the line perpendicular to Y-3x+1 that passes through the point (12,-6)?
erma4kov [3.2K]

Answer:

3y + x = -6

Step-by-step explanation:

Given

y = 3x + 1

Required

Equation of line that passes through (12,-6) and is perpendicular to y = 3x + 1

First, the slope of the line has to be calculated;

Th slope of a line is the coefficient of x in its linear equation;

This implies that the slope of y = 3x + 1 is 3

Having calculated the slope of the first line;

The relationship between both lines are perpendicularity; this implies that m_1 * m_2 = -1

Where m_1 = 3 and m_2 is the slope of the secodnd line

m_1 * m_2 = -1 becomes

3 * m_2 = -1

Divide both sides by 3

\frac{3 *m_2}{m_2} = \frac{-1}{3}

m_2 = \frac{-1}{3}

The equation of the line can be calculated using the folloing formula

m = \frac{y - y_1}{x - x_1}

Where (x_1, y_1) = (12,-6) and m_2 = \frac{-1}{3}

The equation becomes

\frac{-1}{3} = \frac{y -- 6}{x - 12}

\frac{-1}{3} = \frac{y + 6}{x - 12}

Cross multiply

-(x - 12)= 3(y + 6)

-x + 12=3y + 18

Collect like terms

12 - 18 = 3y +x

-6 = 3y + x

3y + x = -6

4 0
3 years ago
Paisley is going to invest $28,000 and leave it in an account for 14 years. Assuming the interest is compounded monthly, what in
abruzzese [7]

Answer:

r=7

Step-by-step explanation:

74000=28000(1+r/12)^12(14)

divide 74000 by 28000, and cancel out 28000.

1.00580=1+r/12

(100) .06962=r

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the 6 after the 9 rounds 9 to 0, which rounds the 6 to 7

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3 years ago
If the vegetable assembly line runs for 3 minutes, how many minutes would the fruit assembly line need to run to complete the or
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Answer:

You need to say how many cans go by a minute to be able to answer this question.

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3 years ago
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