Instructions: Find the slope of the line through the points (-15, 14) and (13, 6). Make sure to simplify
fractions and enter your answers with a foward slash (i.e."/"). If the slope is undefined enter "undefined."
Slope =

9514 1404 393

Answer:

  x -3y = 4

Step-by-step explanation:

A plot of the points reveals the longer diagonal to be BD. (Also, point C is on that line.)

We can write the standard form equation of the line through (x1, y1) and (x2, y2) as ...

  (y2 -y1)x -(x2 -x1)y = (y2 -y1)x1 -(x2 -x1)y1

For points (-2, -2) and (16, 4), this equation is ...

  (4 -(-2))x -(16 -(-2))y = (4 -(-2))(-2) -(16 -(-2))(-2)

  6x -18y = -12 +36

Dividing by the greatest common factor (6), we have the standard-form equation ...

  x -3y = 4

Answer:

52.6 mm

Step-by-step explanation:

split this figure and form one square and semi circle

for semicircle

radius = 4mm

find diameter

radius = diameter /2

4*2 = diameter

8 mm = diameter

now find perimeter of square

POS = 4l

=4*8

=32 mm

perimeter of semicircle= πr + 2r

=3.14^4 + 2*4

=12.56 + 8

=20.56 mm

area of the figure = perimeter of square + perimeter of semicircle

=32 + 20.56 mm

=52.56 mm

=52.6 mm

split ur figure as shown below

Answer:

28.6 (by the assumption that 4 is the radius)

Step-by-step explanation:

4 is the radius.

Circumference of a circle is  πd or  2πr

But its a semi circle so our equation will be  2πr/2 + d

So subsitute, 2* π*4/2 + 8

=8 π/2 + 8

=4 π + 8

=20.6

This is only the circumference of the semi-circle

Now for the square, perimeter is equal to 4*S

so from the equation above we know that the diameter is 8(d=2r). The diameter is also one side of the square. Since squares have all sides equal, 4*8= 32

Now add

32+20.6

52.6

Round

52.6

All this is on the assumption that 4 is the radius.

Answer:

this is the answer

Step-by-step explanation:

20:15=20/15=4/3=n

Hence, 1:n=3:4

Area of triangle = 1/2 bh

60 = 1/2 (15) h

8 = h

Quadrilateral area = h x (b1 + b2)/2 = 8 x (15+9)/2 = 96 sq units

96 -60 = triangle BAD area = 36 sq units

The length of side BC in the triangle BCD is 8.

An area is the amount of space occupied by a two dimensional shape or figure.

From the diagram:

Area of triangle BCD = (1/2) * base * height = (1/2) * CD * BC

60 = (1/2) * 15 * BC

BC = 8

The length of side BC in the triangle BCD is 8.

Find out more on area at: https://brainly.com/question/25292087

Answer:

easy

Step-by-step explanation:

Answer: $24000

Step-by-step explanation:

Depreciation for 2018 = ($74,000 - $18000) / 7

= $56000/7

= $8000

Depreciation for 2019 = ($74,000 - $18000) / 7

= $56000/7

= $8000

Depreciation up to 2019 = $8000 + $8000 = $16000

Book value at end of 2019 = $74000 - $16000 = $58000

Revised residual value = $10,000

Number of remaining years = 4-2 = 2 years

Depreciation expensed for 2020 will be:

= ($58000 - $10,000) / 2

= $48000/2

= $24000

Answer:

m = - 2

Step-by-step explanation:

First coordinate : ( -2 , 9 )

Second coordinate : ( 1 , 3 )

Formulae : m=(y2-y1)/(x2-x1)

Substituting,

m = ( 3 - 9 ) / ( 1 + 2 )

m = - 6 / 3

m = - 2

If this helps you, please mark brainliest!

Answer:

5h+6=16

Step-by-step explanation:

He gets 6 dollars and for every hour he walks he gets 5 dollars so he must of walked dogs for 2 hours and plug it in you get your equation.

Answer:

5(2)+6=16

Step-by-step explanation:

That should be it! Contact me if you need to know why.

Answer:

[tex]{ \tt{line : x = 2y + 5}} \\ { \tt{circle : {x}^{2} + {y}^{2} = 5}} \\ substitute \: line \: in \: circle \\ { \tt{ {(2y + 5)}^{2} + {y}^{2} = 5 }} \\ { \tt{4 {y}^{2} + 20y + 25 + {y}^{2} = 5}} \\ { \tt{5 {y}^{2} + 20y + 20 = 0 }} \\ { \tt{ {y}^{2} + 4y + 4 = 0 }} \\ y = - 2 \\ x = 2( - 2) + 5 = 1 \\ { \tt{centre = ( - 1, \: 2)}} \\ { \tt{radius = 5 \: units}} \\ hence \: proved[/tex]

Answer:

radius 5

centre -1,2

Step-by-step explanation:

Answer:245

Step-by-step explanation:

Answer:

x > 0

Step-by-step explanation:

The domain of the graph are all the possible values of x. Since the graph never touches the negative part of the graph, x will always be greater than 0. Thus, x > 0 meaning x will be greater (not equal to) 0.

[tex]\boxed{x\:=\:-8 }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]

[tex]5x + 6 = 3x - 10[/tex]

[tex]➺ \: 5x - 3x = - 10 - 6[/tex]

[tex]➺ \: 2x = - 16[/tex]

[tex]➺ \: x = \frac{ - 16}{2} [/tex]

[tex]➺ \: x = - 8[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex]5x + 6 = 3x - 10[/tex]

[tex]➼ \: 5 \times ( - 8 )+ 6 = 3 \times ( - 8) - 10[/tex]

[tex]➼ \: - 40 + 6 = - 24 - 10[/tex]

[tex]➼ \: - 34 = - 34[/tex]

[tex]➼ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

Answer:

-8

Step-by-step explanation:

5x + 6 = 3x − 10

Subtract 3x from both sides:

5x + 6 - 3x = 3x - 10 - 3x

2x + 6 = -10

Subtract from 6 both sides:

2x + 6 - 6 = -10 - 6

2x = -16

Divide both sides by 2:

2x         -16

____ = ____

  2           2

      -16

x = ____   (divide)

        2

final answer: x = -8

Answer:

8.66  =  9

Step-by-step explanation:

The square root of 75 is approximately equal to 8.66 but if rounded 9

Answer:

-5

Step-by-step explanation:

For a given x value a function can have only one y value.

-5 cannot have both 15 and 20 as the y value

Answer:

D

Step-by-step explanation:

The starting term is a1.

That's the very first term.

a1 = - 10

The second term = -17 which means that you added - 7 to - 10.

So d must be - 7

The formula must be

an = a1 + (n - 1)*d

an = -10 + (n - 1)(-7)

You might wonder why it is n - 1. The reason is because the first term is already added on the right side. The -1 means that we have already included the first term.

We should try the formula out to see what it does. Let's find a4

a4 = -10 + (4 -1)*-7

a4 = -10 + 3(-7)

a4 = -10 - 21

a4 = - 31 which is what the question suggests.

Answer:

Step-by-step explanation:

VOLUME...

1) π*r^2*h

π*(2.5)^2 *h

(π)*(2.5)^2* 6

= 117.8

2) π*r^2*h + 1/2 *[(4/3) · π · r3]

(π)*(3)^2* 3 + 1/2 *[(4/3) · π · 3^3]

         84.8+ 56.5 = 141.41

3) (1/3) π*r^2*h

(1/3) π*3^2*h

3^2 + h^2 = 36

h = sqrt(27) = 5.1

(1/3) π*3^2*5.1

= 48.06

~~~~~~~~~~~~~~~~~~~~~~~~~~~

Height of 1/2 of glass #2

84.8+ 56.5 = 141.41

thus 1/2 of #2 = 70.5

70.5 - 56.6 = 14 (all of 1/2 sphere filled plus 14 into cylinder)

14/[(π)*(3)^2* 3]= .16 of the cylinder... 3*(0.16) =   .48

total height = 3.48

Answer:

p = -29/2

Step-by-step explanation:

2p + 38 = 9

Subtract 38 from each side

2p + 38-38 = 9-38

2p = -29

divide by 2

2p/2 = -29/2

p = -29/2

Answer:

p=-14.5

Step-by-step explanation:

2p + 38 = 9

      -38    -38

2p = -29

[tex]\sqrt{2}[/tex]    [tex]\sqrt{2}[/tex]

p = -14.5

Given:

A figure of combination of hemisphere, cylinder and cone.

Radius of hemisphere, cylinder and cone = 6 units.

Height of cylinder = 12 units

Slant height of cone = 10 units.

To find:

The volume of the given figure.

Solution:

Volume of hemisphere is:

[tex]V_1=\dfrac{2}{3}\pi r^3[/tex]

Where, r is the radius of the hemisphere.

[tex]V_1=\dfrac{2}{3}(3.14)(6)^3[/tex]

[tex]V_1=\dfrac{6.28}{3}(216)[/tex]

[tex]V_1=452.16[/tex]

Volume of cylinder is:

[tex]V_2=\pi r^2h[/tex]

Where, r is the radius of the cylinder and h is the height of the cylinder.

[tex]V_2=(3.14)(6)^2(12)[/tex]

[tex]V_2=(3.14)(36)(12)[/tex]

[tex]V_2=1356.48[/tex]

We know that,

[tex]l^2=r^2+h^2[/tex]                               [Pythagoras theorem]

Where, l is length, r is the radius and h is the height of the cone.

[tex](10)^2=(6)^2+h^2[/tex]

[tex]100-36=h^2[/tex]

[tex]\sqrt{64}=h[/tex]

[tex]8=h[/tex]

Volume of cone is:

[tex]V_3=\dfrac{1}{3}\pi r^2h[/tex]

Where, r is the radius of the cone and h is the height of the cone.

[tex]V_3=\dfrac{1}{3}(3.14)(6)^2(8)[/tex]

[tex]V_3=\dfrac{25.12}{3}(36)[/tex]

[tex]V_3=301.44[/tex]

Now, the volume of the combined figure is:

[tex]V=V_1+V_2+V_3[/tex]

[tex]V=452.16+1356.48+301.44[/tex]

[tex]V=2110.08[/tex]

Therefore, the volume of the given figure is 2110.08 cubic units.

Answer:

She kicked it up

Step-by-step explanation:

How is this math?

I believe your answer is B.) She kicked it up. Think about it, if she kicks it straight up, it goes up ten feet, and then it comes back down (Revered direction) to her.

Answer:

y - 9x - 82 = 0

Step-by-step explanation:

Given expression;

y - 10 = 9(x + 8)

Find:

Write into standard form

Computation:

Given expression;

⇒ y - 10 = 9(x + 8)

Using BODMAS role

Multiply 9 into (x - 8)

⇒ y - 10 = 9(x) + 9(8)

⇒ y - 10 = 9x + 72

⇒ y - 9x - 10 = 72

⇒ y - 9x = 72 + 10

⇒ y - 9x = 82

⇒ y - 9x - 82 = 0

Standard form of given expression

y - 9x - 82 = 0

Step-by-step explanation:

the answer is in the above image

Answer:

3x+2

Step-by-step explanation:

khan told me that my explanation

Answer:

32 degrees

Step-by-step explanation:

An inscribed angle is an angle with its vertex on the circle, formed by two intersecting chords. Angle N perfectly fits this description. An inscribed angle is equal to 1/2 of its intercepted arc (the arc opposite the angle). The arc opposite angle N is equal to 64 degrees, so angle N is equal to 1/2 of that, or 32 degrees

Answer:

Fifty - one billion two hundred one thousand seventy eight

- Let me know if you have any questions regarding my answer :)

Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

[tex]\boxed{51,000,201,078}[/tex]

⟹ Fifty one billion two hundred and one thousand seventy eight.

⁺˚*･༓☾✧.* ☽༓･*˚⁺‧

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Answer:

hypotenuse

Step-by-step explanation:

The side opposite the right angle has a special name - hypotenuse

The other two sides of the right triangle are called legs

Given:

A figure of a triangle.

To find:

The measure of angle A.

Solution:

Label the points in the figure as shown below.

In the below figure,

[tex]\angle ACB\cong \angle DCE[/tex]            (Vertically opposite angles)

[tex]m\angle ACB=m\angle DCE[/tex]              (Congregant angles)

[tex]m\angle ACB=8x+4[/tex]

Using exterior angle theorem in triangle ABC, we get

[tex]m\angle A+m\angle C=\text{Exterior }m\angle B[/tex]

[tex]m\angle BAC+m\angle ACB=130^\circ[/tex]

[tex](3x-6)+(8x+4)=130^\circ[/tex]

[tex]11x-2=130^\circ[/tex]

Isolate the variable term x.

[tex]11x=130^\circ+2[/tex]

[tex]11x=132^\circ[/tex]

[tex]x=\dfrac{132^\circ}{11}[/tex]

[tex]x=12^\circ[/tex]

Now, the measure of angle A is:

[tex]m\angle A=3x-6[/tex]

[tex]m\angle A=3(12^\circ)-6[/tex]

[tex]m\angle A=36^\circ-6[/tex]

[tex]m\angle A=30^\circ[/tex]

Therefore, the correct option is B.

Answer:

(5,20)

Step-by-step explanation:

Looking at the pair, we can see that the value of y is simply the value of x multiplied by 4

so we have to multiply the value of x by 4 to get the value for y

So any of the options we can see this proportional relationship is correct

Looking at the options, we can see the third option. (5,20)

20/5 is 4 which makes the option correct