Find the slope of the line through each pair of points.

1. (19, -16), (-7, -15)
2. (-4, 7), (-6, -4)
3. (20, 8), (9, 16)

Answer:

A (48)

Step-by-step explanation:

let the father's age = x and his son's age = y

according to the question,

the sum of their ages is 74

×+y=74......equation 1

four years ago (i.e x-4 & y-4) father's age was twice as old as his son

x-4=2(y-4)

or, x-4=2y-8

x-2y=-4.......equation 2

now, in equation 1

x+y=74

hence,

x=74-y

substituting the values in equation 2

x-2y=-4

(74-y)-2y=-4

74-y-2y=-4

74-3y=-4

74+4=3y

3y=78

y=78/3

y=26

Hence the kid is 26 years old

x+y=74

x+26=74

x=74-26

x=48

Hence the dad is 48 years old

Answer:

The correct answer is: Option A: 48

Step-by-step explanation:

Let x be the present age of father and y be the present age of son

Given that

"The sum of the ages of a father and his son is 74"

[tex]x+y = 74\ \ \ Eqn\ 1[/tex]

Now

x-4 will be the age of father 4 years ago

y-4 will be the age of son 4 years ago

The equation will be:

[tex]x-4 = 2(y-4)\\x-4 = 2y-8\\x-2y-4 =-8\\x-2y = -8+4\\x-2y = -4\ \ \ Eqn\ 2[/tex]

From equation 1:

[tex]x = 74-y[/tex]

Putting in equation 2

[tex]74-y-2y = -4\\74-3y = -4\\-3y = -4-74\\-3y = -78\\\frac{-3y}{-3} = \frac{-78}{-3}\\y = 26[/tex]

Put y = 26 in equation 1

[tex]x+26 = 74\\x = 74-26\\x = 48[/tex]

The father is 48 years old now.

Hence,

The correct answer is: Option A: 48

Answer:

ikjhgtjyhtyhhyj

5th over 3 hour sessions and the first thing I have to do is

Step-by-step explanation:

the new gg64ar will come is present in the sky in 5

Answer:

7 inches

Step-by-step explanation:

you have to use the Pythagorean Theorem

Answer:

10 inches

Step-by-step explanation:

Assuming one of angles is 30 degrees we can use the theorem leg opposite to 30 degree angle the hypotenuse will be double than the leg measurements so it is 10 inches.

9514 1404 393

Answer:

  A(w) = w(3w-2)

  A(2) = 8 . . . . square feet

Step-by-step explanation:

For width w, the length will be 3w-2, two feet less than 3 times the width. The area is the product of length and width, so is ...

  A = WL

  A(w) = w(3w-2)

__

To find the area for a width of 2, we put 2 where w is, then evaluate.

  A(2) = 2(3·2 -2) = 8 . . . . square feet

Answer:

Constant: 0.72 = 18 : 25

Step-by-step explanation:

None

Answer:

We are all smart but we do st*Upid things. very st*Upid things.

Step-by-step explanation:

Answer:

stocks

Step-by-step explanation:

Stocks are the type of investment that are intended to collect dividends as income, mainly referred to as dividend stocks. Companies pay these dividends to investors who hold stocks from their company and these dividends are usually paid out quarterly, meaning four payments per year. The other options provided provide forms of passive income but they are not considered dividend payments.

Answer:

3,14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

bc+ad=b

or,ad=b-bc

or,a=(b-bc)/d

Answer & Step-by-step explanation:

Ok, so to solve for a in this equation means that we need to write the equation from the point of view of a, instead of b, which is the way it is currently written.

bc + ad = b

The first thing to do is isolate a, we do this by dividing every term in this by a.

a = bc/a + ad/a + b/a

a = d(bc + b)

Now, we need to divide d from the equation.

Answer: He bought 5 sandwiches.

Step-by-step explanation:

We know that he purchased sandwiches (let's suppose that he bought X ) and one gallon of milk.

The cost of each sandwich is $8, then the cost of the X sandwiches will be X times $8, or: X*$8.

The cost of the gallon of milk is $4.

The total cost will be:

$4 + X*$8.

And we know that the total cost was $44, then we have the equation:

$4 + X*$8 = $44

We can solve this for X

X*$8 = $44 - $4

X*$8 = $40

X = $40/$8 = 5

This means that he bought 5 sandwiches

Answer:

4,9

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer:

89

Step-by-step explanation:

180 - (50 + 41)

180 - 91

89

.ie x= 89

because total sides of triangle = 180 degree

hope this answer helps!!!!

The slope of the line [tex]\overline{AB}[/tex] is the rate at which the line rises at a point.

Reasons:

The slope of a line is given by the ratio of the rise to the run of the line

The coordinates of point A = (-9, -4)

The coordinates of point B = (-5, 6)

The rise of the line [tex]\overline{AB}[/tex] = The difference in the y-values = (6 - (-4)) = 10

The run of the line [tex]\overline{AB}[/tex] = The difference in the x-values = (-5 - (-9)) = 4

[tex]Slope \ of \ \overline{AB}= \dfrac{Rise \ of \ line \ \overline{AB}}{Run \ of \ line \ \overline{AB}}[/tex]

Therefore

[tex]Slope \ of \ \overline{AB}= \dfrac{10}{4} = \dfrac{5}{2}[/tex]

Learn more here:

https://brainly.com/question/12860056

Answer:

Step-by-step explanation:

Given the height of the ball modeled by the equation  h = -16t^2+ 100, where

h is the height

t is in seconds

We can find the time taken by the ball to reach the ground.

The ball reaches the ground when the height h = 0

Substitute h = 0 into the equation and find t;

0 = -16t^2+ 100

16t^2 = 100

t^2 = 100/16

t = √100/16

t = 10/4

t = 2.5secs

Hence the ball reaches the ground after 2.5secs

Answer:

x = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Set up Equation

(7x - 1) + 80 + (6x - 3) = 180

Step 2: Solve for x

Answer: x = 8

Step-by-step explanation:

Hoped this helped

Answer:

30

Step-by-step explanation:

Answer: nope

Step-by-step explanation:

Answer:

180 km

Step-by-step explanation:

Let total length of journey = x

By train = 2/5x

By bus = 1/3x

By car = 1/4x

By foot = 3km

(2/5)x + (1/3)x + (1/4)x + 3 = x

L. C. M of 5, 3 and 4 = 60

(24x + 20x + 15x) / 60 = x

24x + 20x + 15x + 180= 60x

24x + 20x + 15x - 60x = - 180

-x = - 180

x = 180

Hence, total length of journey = 180km

Answer:

200 animals is the correct answer to the first question.

Answer:

6,561

39,204

25,575

52.5625 - 7.5625 = 45

Step-by-step explanation:

(i)

(81)^2

Use (a + b)^2 = a^2 + 2ab + b^2

(81)^2 = (80 + 1)^2 =

= 80^2 + 2 * 80 * 1 + 1^2

= 6400 + 160 + 1

= 6561

(ii)

(198)^2

Use (a - b)^2 = a^2 - 2ab + b^2

(198)^2 = (200 - 2)^2 =

= 200^2 - 2 * 200 * 2 + 2^2

= 40,000 - 800 + 4

= 39,204

(iii)

165 * 155

Use (a + b)(a - b) = a^2 - b^2

165 * 155 = (160 + 5)(160 - 5) =

= 160^2 - 5^2

= 25,600 - 25

= 25,575

(iv)

(7.25)^2 - (2.75)^2

Use a^2 - b^2 = (a + b)(a - b)

(7.25)^2 - (2.75)^2 =

= (7.25 + 2.75)(7.25 - 2.75)

= 10(4.5)

= 45

Answer:

The slope of a line is change in Y / change in X. The slope of a horizontal line = 0, not undefined. The slope of a vertical line = undefined.

the slope of a virtual lin.e is change in Y / change in X

Missing Information:

Answer:

[tex]Total = 26.1\%N + 22[/tex]

Step-by-step explanation:

Given

[tex]R = 45\%[/tex] --  [tex]Percentage[/tex] [tex]of\ R[/tex] in the total population

[tex]Favor\ Flat\ Tax = 58\%[/tex] in group R

[tex]Favor\ Flat\ Tax = 22[/tex] in group T

Required

Determine the number of people that supports T

First, the proportion of those that supports flax rate in R needs to be calculated.

[tex]Proportion = 45\% * 58\%[/tex]

[tex]Proportion = 26.1\%[/tex]

So, those that favor flat tax rate in group R are:

[tex]Favor\ Flat\ Tax = 26.1\%N[/tex]

Where N represents the total population.

Total number of people that supports the flax tax rate is gotten by adding  people that support flat tax rate in each group.

[tex]Total = Group\ R + Group\ T[/tex]

[tex]Total = 26.1\%N + 22[/tex]

Answer:

A. 2l + 2w > 40

B. 14 = w

Step-by-step explanation:

B. 40 = ( 2/6) + 2w

40 = 12 +2w

subtracted by

28 = 2w

and that equals

14= w

Answer:

Alternate Interior Angles

Step-by-step explanation:

Angle 3 and angle 6 are inside the parallel lines and are opposite sides of the transversal line so, it'd be alternale interior angles.

Answer:

its 2.60 for each pendent