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3 years ago

Slope intercept from 2y=-1x-8 step by step please

Mathematics

1 answer:

kap26 [50]3 years ago

5 0

Answer:

The slope-intercept form is $y = - \frac{1}{2} x - 4$

Step-by-step explanation:

☆We are going to solve the equation.

☆We are solving for y.

☆All we need to do is divide.

$\frac{2y}{2} = \frac{ - 1x - 8}{2} \\ \\ y = - \frac{1}{2}x - 4$

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The table below shows the height and the hand span of five students. What pattern of association best describes the relationship

jasenka [17]

Answer:

Step-by-step explanation:

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2 years ago

Triangle ABC has vertices at A(2,3),B(-4,-3) and C(2,-3) find the coordinates of each point of concurrency.

dem82 [27]

Answer:

Circumcenter =(-1,0)

Orthocenter =(2,-3)

Step-by-step explanation:

Given : Points A = (2,3), B = (-4,-3), C = (2,-3)

Formula used :

→Mid point of two points- $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

→Slope of two points - $\frac{y_2-y_1}{x_2-x_1})$

→Perpendicular of a line = $\frac{-1}{slope of line})$

Circumcenter- The point where the perpendicular bisectors of a triangle meets.

Orthocenter-The intersecting point for all the altitudes of the triangle.

To find out the circumcenter we have to solve any two bisector equations.

We solve for line AB and AC

So, mid point of AB = $(\frac{2-4}{2},\frac{3-3}{2})=(-1,0)$

Slope of AB = $\frac{-3-3}{-4-2}=1$

Slope of the bisector is the negative reciprocal of the given slope.

So, the slope of the perpendicular bisector = -1

Equation of AB with slope -1 and the coordinates (-1,0) is,

(y – 0) = -1(x – (-1))

y+x=-1………………(1)

Similarly, for AC

Mid point of AC = $(\frac{2+2}{2},\frac{3-3}{2})=(2,0)$

Slope of AC = $\frac{-3-3}{2-2}=\frac{-6}{0}$

Slope of the bisector is the negative reciprocal of the given slope.

So, the slope of the perpendicular bisector = 0

Equation of AC with slope 0 and the coordinates (2,0) is,

(y – 0) = 0(x – 2)

y=0 ………………(2)

By solving equation (1) and (2),

put y=0 in equation (1)

y+x=-1

0+x=-1

⇒x=-1

So the circumcenter(P)= (-1,0)

To find the orthocenter we solve the intersections of altitudes.

We solve for line AB and BC

So, mid point of AB = $(\frac{2-4}{2},\frac{3-3}{2})=(-1,0)$

Slope of AB = $\frac{-3-3}{-4-2}=1$

Slope of the bisector is the negative reciprocal of the given slope.

So, the slope of CF = -1

Equation of AB with slope -1 and the coordinates (-1,0) gives equation CF

(y – 0) = -1(x – (-1))

y+x=-1………………(3)

Similarly, mid point of BC = $(\frac{-4+2}{2},\frac{-3-3}{2})=(-1,-3)$

Slope of AB = $\frac{-3+3}{-4-2}=0$

Slope of the bisector is the negative reciprocal of the given slope.

So, the slope of AD = 0

Equation of AB with slope 0 and the coordinates (-1,-3) gives equation AD

(y-(-3)) = 0(x – (-1))

y+3=0

y=-3………………(4)

Solve equation (3) and (4),

Put y=-3 in equation (3)

y+x=-1

-3+x=-1

x=2

Therefore, orthocenter(O)= (2,-3)

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3 years ago

Hannah has 24 stickers. This is 6 less than twice the number of (n) molly has.

lianna [129]

Are you trying to set up the equation?
the equation: 24(2)+6=n

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2 years ago

Read 2 more answers

it takes an air pump 4.0 minutes to fill a twin sized air mattress (39 by 8.75 by 75 inches). How long will it take to fill a qu

Ivahew [28]

Volume of twin sized mattress =

39* 8.75* 75 = 25593.35 cubic inch

Volume of queen sized mattress =

60* 8.75* 80 = 42000 cubic inch

To fill 25593.35 cubic inch it takes 4 minutes

To fill 1 cubic inch it will take = $\frac{4}{25593.35}$ minutes

So to fill 42000 cubic inch it will take = $\frac{4}{25593.35} * 42000$

= 6.56 minutes.

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3 years ago

What is the approximate area of the circle shown below? 70 in diameter

Maksim231197 [3]

Answer:

Step-by-step explanation:

area is radius squared times pi(3.14) the radius is half of the diameter they give you the diameter so divide it by 2 to get the radius then multipy that by pi(3.14)

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2 years ago