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Sever21 [200]
2 years ago
13

Write the following in point-slope form using the given information: Slope: 2 points

Mathematics
1 answer:
SCORPION-xisa [38]2 years ago
8 0

Answer:

y+5 = \frac{1}{15}(x - 3)}

Step-by-step explanation:

Given

m = \frac{1}{15} -- Slope

(x_1,y_1) = (3,-5) --- Point

Required

Write an equation in point slope form

The point slope form of an equation is:

y - y_1 = m(x - x_1)

Substitute values for y1, x1 and m

y-(-5) = \frac{1}{15}(x - 3)}

y+5 = \frac{1}{15}(x - 3)}

Hence, the equation in point slope form is:

y+5 = \frac{1}{15}(x - 3)}

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Find the value of y so that WX is perpendicular to YZ
Alexxandr [17]

step 1

Find out the slope WX

W(2,-3) and X(-4,9)

m=(9+3)/(-4-2)

m=12/-6

m=-2

step 2

Find out the slope YZ

Y(5,y) and Z(-1,1)

m=(1-y)/(-1-5)

m=(1-y)/-6

m=(y-1)/6

step 3

Remember that

If two lines are perpendicular

then

their slopes are negative reciprocal

that means

(y-1)/6=1/2 -----> because the negative reciprocal of -2 is 1/2

solve for y

2y-2=6

2y=6+2

2y=8

<h2>y=4</h2>
8 0
1 year ago
Graph y = -1/3x + 5<br><br> khan academy
sdas [7]

Graph the line using the slope and y-intercept, or two points.

Slope:

−1/3

y-intercept:

(0, 5)

x   y

0   5

15  0

7 0
3 years ago
McGwire Aerospace expects to have net cash flow of $12 million. The company forecasts that its operating costs excluding depreci
slava [35]

Based on the net cash flow, the depreciation and amortization, and the tax rate, the expected sales of McGwire Aerospace is $66.67 million.

<h3>What are the expected sales?</h3>

First, find the net income:

= Net cash flow - depreciation and amortization

= 12 - 5

= 7 million

Given this net income, the sales are:

Net income = ( Sales - (Sales x 75%) - 5) x (1 - 40%)

7 / 0.60 = 0.25x - 5

11.67 = 0.25x - 5

0.25x = 16.67

x = 66.67 million

In conclusion, the expected sales are $66.67 million.

Find out more on expected sales at brainly.com/question/28062273

#SPJ4

7 0
1 year ago
Helppppppppppppppppppppppppppppppppppppppp?
alexgriva [62]

Answer:

Step-by-step explanation:

GHJ looks like it on 112 degrees.

IHJ is an acute angle so smaller than 90 degrees. I cant see the numbers there but I'm guessing its about 68 degrees.

GHJ + IHJ= 180

they should equal 180 degrees when added together.

6 0
3 years ago
BRAINLIEST ASAP! PLEASE HELP ME :)
Afina-wow [57]

Answer:

\large \boxed{\textbf{30.54 yr}}

Step-by-step explanation:

For species A,

P =2000e^{0.05t}

For species B,

P =5000e^{0.02t}

When their populations are equal,

\begin{array}{rcl}2000e^{0.05t} & = & 5000e^{0.02t}\\e^{0.05t} & = & 2.5e^{0.02t}\\0.05t & = & \ln2.5 + 0.02t\\0.05t & = & 0.9163 + 0.02t\\0.03t & = & 0.9163\\t& = & \dfrac{0.9163}{0.03}\\\\& = & \mathbf{30.54}\\\end{array}\\\text{The populations of species A and B will be the same in $\large \boxed{\textbf{30.54 yr}}$}

The diagram below shows the population of Species A overtaking that of Species B in about 30.5 yr.

3 0
3 years ago
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