What property does
(3 + 19) – 12 = 3 + ( 19 – 12)
represent?

Answer:

C

Step-by-step explanation:

Area of a square equals to the square of its side, therefor the side of a given area for a square is the square root of the area.

[tex]A = a^{2}\\a = \sqrt{A}\\a = \sqrt{110} = 10.48 ft[/tex]

Answer:

It would be 30 mph

Step-by-step explanation:

45/6=7.5

7.5*4=30

Answer:

30 minutes

Step-by-step explanation:

Each mile takes him 7 minutes 30 seconds. So you will do 7.5 x 4 to get 30 minutes

y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The slope of line passing through points (-4,8) and (1,3)

m=3-8/1+4

=-5/5=-1

Now we need to find the y intercept

8=-1(-4)+b

8=4+b

b=4

Hence, y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).

To learn more on slope of line click:

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Answer:

Step-by-step explanation:

4 and 1/6

Answer:

C

Step-by-step explanation:

you can make a right triangle from the center of one base to the edge of that circle, and then up to a point on the circumference of the other base

the bases of the triangle would be 2 and 5

so that gives sqrrt 29

Answer:

Option C.

Ground level = 0 foot

Hole = -3 feet

Dirt pile = 3 feet

Answer: $336.40

Step-by-step explanation: 5.13% of $320 would be $16.40 just add that on to the before tax price.

Step-by-step explanation:

f(3)= -2×3²+3+1

= -18+3+1

= -14

hope it helps.

Answer: = ± 2 √ 2

Step-by-step explanation:

Answer:

Its when you just swthc your thingy

Step-by-step explanation:

2+4=6

turns into

4+2=6

Answer:

When it is opposite

Step-by-step explanation:

Answer:

First find the hypotenuse of the small triangle then use that value as the base of the upper triangle. Evaluate the equation formed with the “x"

Answer:

the answer is the first one hope this helps

Step-by-step explanation:

Answer: A

Step-by-step explanation: /GMK is a right angle and /HMK is 50 degrees so 90-50=40

Answer:

-1 -9i, where a = -1 and b = -9

Step-by-step explanation:

1st step is to open up the brackets. Since there's a (-) in front of the second bracket, we have to multiply every term by -1, so positive becomes negative, negative becomes positive etc.

4-i-5-8i

Then we collect like terms.

-1 -9i

This is the answer. It looks wrong since the variables are 'positive' in a +bi, but you have to remember that a variable can be represented as a, but its actual value could be negative, in this case -1. This is the same with b, as b could be the same as -9.

This is an expression, so we can't multiply everything by -1 to make it 'look right'. You can only multiply by -1 or 'alter' the terms when the expression equates to something.

Answer:

21 cubic inches (or cu. in)

Step-by-step explanation: Multiply 7 by three

Answer:

y = 4x - 14

Step-by-step explanation:

Use point-slope form and substitute the values.

y - 2 = 4(x - 4)

y - 2 = 4x - 16

y = 4x - 14

Answer:

The route across the park is 40 meter shorter than the route around its edges.

Step-by-step explanation:

We have to calculate the distance for both routes

As the route around the edges is straight,  we have to find the sum of length of both edges

Let [tex]R_E[/tex] be the distance of route around edges

[tex]R_E = 80+60 = 140\ meters[/tex]

Now we know that a diagonal divides a rectangle in two right angled triangles in which the diagonal is the hypotenuse.

We can use Pythagoras theorem to find the length of the diagonal

So,

[tex]H^2 = P^2 + B^2[/tex]

In the given scenario

P = 60

B = 80

Now

[tex]H^2 = (60)^2 + (80)^2\\H^2 = 3600+6400\\H^2 = 10000\\\sqrt{H^2} = \sqrt{10000}\\H = 100\ meters[/tex]

In order to calculate that how much shorter is the path across the park, we have to subtract the distance across park from the distance across edges.

[tex]= 140-100 = 40\ meters[/tex]

Hence,

The route across the park is 40 meter shorter than the route around its edges.

Answer:

m + 10/100(m)

Step-by-step explanation:

So m represents the number of members in the club last year.

A 10% increase of the members = [tex]\frac{10}{100} * m[/tex] = 0.1m

Hence the number of members in the club this year = m + 0.1m

Answer:

8 5/8 ounces

Step-by-step explanation:

Given that:

Weight of puppy = 2 7/8 pounds

Puppy is being fed 3 ounces of food for each pound it weighs

Ounces of food being fed :

1 pound = 3 ounces

2 7/8 pounds =?

2 7/8 * 3

23/ 8 * 3

= 69/ 8

= 8 5/8 ounces

Answer:

Si

Step-by-step explanation:

Answer:

2nd option is the right answer

Answer:

-4.515

Step-by-step explanation:

3.5 times 5.8 is 20.3 and then 3.5 times -7.09 is -24.815 added together to get -4.815 so technically its none of those but they might have miss typed so i think probably -4.515

Answer:

-2w-20

Step-by-step explanation:

distribute => 4w-20-6w = -2w-20

Answer:

-2w - 20

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

4(w - 5) - 6w

Step 2: Simplify

Answer:

46,691

Step-by-step explanation:

Given that:

Initial population, P = 51000

Decreasing rate = 1.75% = 0.0175

Time, t = 5 years

Using the relation :

A (t) = Po * ( 1 - r)^t

A(t) population after t years

Po = Initial population figure

r = rate of decrease

A(t) = 51000 * (1 - 0.0175)^5

A(t) = 51000 * (0.9825)^5

A(t) = 51000 * 0.91550937355400390625

A(t) = 46690.9780

Hence, population after 5 years will be : 46,691

Answer:

D.

Step-by-step explanation:

You can see that the first value(initial) of y is 20 and the difference of the preceding values is 10 but it is decreasing thus -10

Answer:

Its PS equals QR: A

Step-by-step explanation:

Answer:2,1

Step-by-step explanation:

Answer:

C

Step-by-step explanation: