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3 years ago

What is the equation standard form of through (2,-4))and the slope is -4

Mathematics

2 answers:

Sloan [31]3 years ago

8 0

Answer:

4x + y = 4

Step-by-step explanation:

Equation of Line in point slope form is given as:

$y - y_1= m(x-x_1)$

Plug $x_1= 2\: and\: y_1= - 4$ in the above equation we find:

$y - ( - 4) = - 4(x - 2) \\ \\ y + 4 = - 4x + 8 \\ \\ 4x + y + 4 - 8 = 0 \\ \\ 4x + y - 4 = 0 \\ \\ 4x + y = 4 \\this \: is \: the \: required \: equation.$

Keith_Richards [23]3 years ago

5 0

4x + y = 4

First we can use the info to make a slope intercept form equation

y = -4x +4 (since slope is -4 and when x= 2, y = -4)

then change to slope intercept form (ax + by = c)

4x + y = 4

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Rectangle ABCD was dilated to create rectangle A'B'C'D' using point R as the center of dilation. Point R is the center of dilati

zhuklara [117]

Answer:

5 units

Step-by-step explanation:

bcuz it has a dilation of 3 and 3 times 5 equals 15 which is the length of AD

6 0

3 years ago

Read 2 more answers

Will mark as brainliest! 40 points! Thanks!

Vesna [10]

Answer:

see below

Step-by-step explanation:

Part A

lets go as simple as possible

x> 0 will shade the right hand side of the graph

dotted line on the y axis, shaded to the right

y <2

will shade below the line y=2

dotted line on the line y=2, shaded below

see attached graph, the red lines are dotted

Part B

C = (2,1)

is the x coordinate greater than 0 2>0

is the y coordinate less than 2 1 <2

yes it is in the shaded region

F = (3,-4)

is the x coordinate greater than 0 3>0

is the y coordinate less than 2 -4 <2

yes it is in the shaded region

Part C

y < 7x-4

the y intercept is -4

the slope is 7

draw a dotted line through -4 going up 7 and over to the right 1

shade below it

She is interested in house F,C,E

(0,-4) add 7 for each increase of 1 in x

(1,3) (2,10) points E and C are less than 2,10 so they are below the line

5 0

3 years ago

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x, y =

miss Akunina [59]

Answer:

381.18 cubic units

Step-by-step explanation:

Graph the region:

desmos.com/calculator/iwvreqjz2m

The region is a trapezoid. When we rotate it about x = 1, we get a hollow cylinder shape. We can either use washer method or shell method to find the volume.

If we find the volume using washer method, we'll have to use two integrals, one for the triangular part of the trapezoid and one for rectangular part. If we use shell method, we only need one integral. So let's use shell method.

Cut a thin, vertical slice of the region. The width of this slice is dx. The height of the slice is y₂ − y₁ = x − 0 = x. The radius of the shell is x − 1.

The volume of the shell is:

dV = 2π (x − 1) (x) dx

dV = 2π (x² − x) dx

The total volume is the sum of all the shells from x=5 to x=7.

V = ∫ dV

V = ∫₅⁷ 2π (x² − x) dx

V = 2π ∫₅⁷ (x² − x) dx

V = 2π (⅓ x³ − ½ x² + C) |₅⁷

V = 2π [(⅓ 7³ − ½ 7² + C) − (⅓ 5³ − ½ 5² + C)]

V = 2π [⅓ 7³ − ½ 7² − ⅓ 5³ + ½ 5²]

V = 2π [⅓ (7³ − 5³) + ½ (5² − 7²)]

V = 2π [⅓ (218) + ½ (-24)]

V = 2π (72⅔ − 12)

V = 121⅓ π

V ≈ 381.18

The volume is approximately 381.18 cubic units.

6 0

2 years ago

Need help solving this !

Zigmanuir [339]

Answer:

Step-by-step explanation:

To start of u have to subtract 150 with 180 which is 180 (cuz its a straight line and E to get angle S

Now that we know that 180-150= 30

We add S and R then subtract by 180

so 80+ 30= 110

then we said subtract 180

180-110= 70

Now we know that angle Q is 7-

Then the bottom is RS & SE (NOT REALLY SURE)

It is a Remote Interior Angle

IF RIGHT PLZ GIVE BRAINLIEST

THANK U

HAVE A GREAT DAY AND BE SAFE :)

4 0

2 years ago

A 34-foot pole casts a 30-foot shadow. At the same time, a nearby tree casts a 24-foot shadow. How tall is the tree?

artcher [175]

Answer:

27.2 ft

Step-by-step explanation:

Let's set up a ratio that represents the problem:

Object's Height (ft) : Shadow (ft)

Substitute with the dimensions of the 34 foot pole and its 30 foot shadow.

34 : 30

Find the unit rate:

The unit rate is when one number in a ratio is 1.

Let's make the Shadow equal to one by dividing by 30 on both sides.

Object's Height (ft) : Shadow (ft)

34 : 30

/30 /30

1.13 : 1

Now, let's multiply by 24 on both sides to find the height of the tree.

Multiply:

Object's Height (ft) : Shadow (ft)

1.13 : 1

x24 x24

27.2 : 24

Therefore, the tree is 27.2 feet tall.

7 0

3 years ago