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Aleksandr [31]
3 years ago
13

Write the equation using functional notation . Through (6,-2) ; perpendicular to 2y=x-4

Mathematics
1 answer:
Bingel [31]3 years ago
7 0

Answer:

f(x)=-2x+10

Step-by-step explanation:

The given line passes through (6-2).

The given is perpendicular to 2y=x-4.

We solve for y in the given equation to get;

y=\frac{1}{2}x-2

The slope of this line is \frac{1}{2}

The slope of the line perpendicular to this line is the negative reciprocal of the \frac{1}{2}.

Hence; m=-\frac{1}{\frac{1}{2} } =-2

The equation is given by

y-y_1=m(x-x_1)

We substitute the point (x_1,y_1)=(6,-2) to obtain;

y--2=-2(x-6)

Hence the required equation is;

y+2=-2x+12

y=-2x+12-2

y=-2x+10

The function notation is

f(x)=-2x+10

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Plz help!I hope you have a wonderful day!!
Fantom [35]
18. It would be the second graph. The third graph is eliminated as the boy takes a time period to shave, which means there should be a constant point (horizontal line) right after the first incline. The first one is eliminated as the boy takes a bath which requires another constant point in the graph.

19.
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8 0
2 years ago
A giant scoop, operated by a crane, is in the shape of a hemisphere of radius 24 inches. The scoop is filled with molten steel.
shtirl [24]

Answer:

40 inches

Step-by-step explanation:

Volume, V of hemisphere = 2/3 π r^3

Radius, r = 24 inches ;

V = 2/3 π 24^3

V = 28952.917 in³

Volume of cylinder = π r^2 * h

h = height ; r = Radius = 32 /2 = 16 inches

Volume of hemisphere = volume of cylindrical tank

28952.917 = π (16)^2 * h

28952.917 = 804.24771h

h = 28952.917 / 804.24771

h = 35.9999

h = 40 inches

Molten stell rise is 40 inches

6 0
2 years ago
−0.85 – (−1.9) +– 2.06
sveticcg [70]

Answer:

−1.01

Step-by-step explanation:

Simplify the expression!

7 0
3 years ago
Read 2 more answers
Help me please thank you
Anni [7]

Answer:

a) the numerator, <em>a</em>, would be a smaller number than the denominator, <em>b.</em>

b) the fraction a/b could be over or under the amount of 1/2.

c) the fraction could be over or under the amount of 1.

Step-by-step explanation:

examples:

a) 2/8

b)3/8 or 6/10

c) 8/9 or 1 1/8

Hope this helps :)

7 0
3 years ago
A line has a slope of 6 and a y-intercept of 5. What is its equation in slope-intercept form?
kvasek [131]

Answer:

The equation in slope-intercept form is y = 6x + 5

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

  • m is the slope
  • b is the y-intercept

Let us solve the question

∵ A line has a slope of 6

∵ m is the slope of the line

∴ m = 6

∵ The line has a y-intercept of 5

∵ b is the y-intercept

∴ b = 5

→ Substitute the values of m and b in the slope-intercept form

∵ y = m x + b

∴ y = 6x + 5

∴ The equation in slope-intercept form is y = 6x + 5

3 0
2 years ago
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