Point p has coordinates (-4,-2) and point q has coordinates (4,3) calculate the shortest distance between P and Q. Give your answer to 1 decimal place

Answer:

B. $5.20

Step-by-step explanation:

18 decrease 20% =

18 × (1 - 20%) = 18 × (1 - 0.2) = 14.4

14.4 increase 8.25% =

14.4 × (1 + 8.25%) = 14.4 × (1 + 0.0825) = 15.588

15.588/3 = 5.196

Answer:

max weight truck can hold = 1200 pounds

your weight. 165 pounds

1200 - 165

1035 pounds left

3 pounds --- 1 brick

1035 --- ?

1035 / 3

You can haul 345 bricks in the truck.

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g. 2x > 4.

From the given information, we have:

The amount of weight a truck can hold is limited to 1200 pounds.

You weigh 165 pounds and each brick weighs 3 pounds.

Number of bricks you can haul, b.

Thus, we can say:

Your weight + (Weight of each brick * Number of bricks)  ≤ Total weight capacity of the truck

165 + (3 * b) ≤ 1200

3b ≤ 1200 - 165

3b ≤ 1035

b ≤ 1035/3

b ≤ 345

Therefore, you can haul 345 bricks in the truck.

Learn more about inequality on:

brainly.com/question/25275758

#SPJ2

Answer:

The point-slope form is y - 8 = 4(x - 2)

Step-by-step explanation:

Given:

the point-slope form is y - y1 = m(x - x1)

Hence the point-slope form is y - 8 = 4(x - 2)

Learn more about Point-Slope Form here: https://brainly.com/question/18617367

Answer:

Vertical angles are always congruent

Step-by-step explanation:

Answer:

Statement

Measure of angle 2 and 3 are a linear pair and

Reason

Definition of linear pair

Step-by-step explanation:

Hook me up with a 5 star and a Thanks :)

Step-by-step explanation:

a) 14w + 21

- Factor out 7 from the expression

7 (2w + 3)

b) 27x + 18

- Factor out 9 from the expression

9 (3x + 2)

Hi!

___________________________________________________________

[tex]\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup[/tex]

#1 7(2w+3)

#2 9(3x+2)

[tex]\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup[/tex]

We need to factor these two expressions.

[tex]\twoheadrightarrow\sf 14w+21[/tex] and [tex]\twoheadrightarrow\sf 27x+18[/tex]

For now let's focus on the first expression.

Note that both terms, 14w and 21, have something in common.

In fact, they have 7 in common. So we factor it out by dividing 14w and 21 by 7.

[tex]\twoheadrightarrow\sf14w\div7=2x\\\twoheadrightarrow\sf21\div7=3[/tex]

[tex]\bullet[/tex] Put the terms together, with a plus sign in between since they are positive

[tex]\twoheadrightarrow\sf 2w+3[/tex]

[tex]\bullet[/tex] Put parentheses around 2w+3

[tex]\twoheadrightarrow\sf (2w+3)[/tex]

[tex]\bullet[/tex] Put7 outside the parentheses

[tex]\twoheadrightarrow\sf7(2w+3)[/tex]

[tex]\bullet[/tex] Great job! We factored the expression

__________________________________________________________

This problem can be solved the same way!

This time, both terms have a 9 in common.

[tex]\twoheadrightarrow\sf 27x+18[/tex]

So we divide both terms by 9.

[tex]\twoheadrightarrow\sf 27x\div9=3x\\\twoheadrightarrow\sf18\div9=2[/tex]

[tex]\bullet[/tex] Put the terms together, with a plus sign in between since they're positive

[tex]\twoheadrightarrow\sf 3x+2[/tex]

[tex]\bullet[/tex] Next, put parentheses around 3x+2 and put 9 outside the parentheses

[tex]\twoheadrightarrow\sf 9(3x+2)[/tex]

[tex]\bullet[/tex] Great job! We factored both expressions

--

Hope that this helped! Best wishes.

[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]

--

A function assigns the value of each element of one set to the other specific element of another set.

A function assigns the value of each element of one set to the other specific element of another set.

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

In keeping with the remarks, the simple answer is that all polynomials are functions, but not all functions are polynomials. A function is essentially a rule that allocates a codomain value to every domain value.

Learn more about Polynomial:

https://brainly.com/question/17822016

#SPJ1

The table that correctly identifies the sample of spinning the spinner and then selecting a card is Option A.

A sample is a random element that belongs to a population. Another way to state it is that, it is a set of all the outcomes that are possible from a given set of events.

Table A accurately depicts each potential result. Along the column on the left is where you'll see the card outcomes.

The spinner's output is shown along the top row. The intersection of the left and top results appears in each cell.

For instance, row 1, and column 3 include "red, purple" to show that you received a card with the color "purple" and the color "red" on the spinner.

Learn more about samples at;
https://brainly.com/question/24466382
#SPJ1

Answer:

The daughter is 14 years old

Step-by-step explanation:

34＋8＝42

42÷3=14

Answer:

All answers are correct.

Step-by-step explanation:

A. 1.84 is between 1.74 and 1.84.

B. 1.84 < 1.85. Lower values go to the left.

C. 1.84 > 1.83. Higher values go to the right.

D. 1.84 is between 1.0 and 2.0.

Answer:

47.9°

Step-by-step explanation:

complementary angles are two angles that add up to 90° [90 degrees]

so, we can find the complementary angle of 42.1 by finding what angle it needs to add up to 90

we can use subtraction to find this value:

90 - 42.1 = 47.9

So, the complementary angle to the angle 42.1° has a measure of 47.9°

hope this helps, have a lovely day!! :)

You need to know that two angles are complementary when they are equal to 90°. If you want to find the complement of an angle, and you have one of the angle measures, you need to subtract it from 90°. You have an angle measure of 42.1°. This will be the number you subtract.

⇢ 90° - 42.1°

⇢ 47.9

The number of cookies packs needed if the treasurer buys 1 package of brownies bites is 5 packs

15b + 12c = 75

If 1 package of brownies is bought

15b + 12c = 75

15(1) + 12c = 75

15 + 12c = 75

12c = 75 - 15

12c = 60

c = 60/12

c = 5 packs

If 9 packages of brownies are bought

15b + 12c = 75

15(9) + 12c = 75

135 + 12c = 75

12c = 75 - 135

12c = -60

c = -60/12

c = -5 packs

Learn more about equation:

https://brainly.com/question/4344214

#SPJ1

Answer:

49 seconds

Step-by-step explanation:

42+7=49

Answer:

35 seconds

Step-by-step explanation:

Answer:

x=64

y=54

Step-by-step explanation:

3x+4y=24 4(24-4y\3)+3y=22

x=24-4y/3 96-12y\3+3y=22

x=24-4(54)/3

x=-64 96/3-22=3y/3

y=54

Answer:

20

Step-by-step explanation:

⇒ Multiply 2 by 3

2 * 3 = 6

4 (6 - 1)

⇒ Distribute terms

4 * 5

20

Hence, the answer is 20.

Answer:

y-2=1/3(x-3)

Step-by-step explanation:

Point slope formula: y-y1=m(x-x1)

m is slope.

y-2=1/3(x-3)

Hope this helps!

If not, I am sorry.

Answer:

17

Step-by-step explanation:

Solution

The distance between each marker is 2. So going upwards 9+2 = 11

11 + 2 = 13

13 + 2 = 15   But we still have 1 more space to go.

15 + 2 = 17

The equation of the line will be y = 4x. Then the correct option is A.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

Writing an Equation from a Table

A 2-column table with 6 rows. Column 1 is labeled x with entries 8, 12, 16, 20, 24, 28. Column 2 is labeled y with entries 2, 3, 4, 5, 6, 7.

Then at (2, 8) and (3, 12), we have

y – 8 = [(12 – 8) / (3 – 2)] (x – 2)

y – 8 = 4x – 8

     y = 4x

Then the correct option is A.

More about the equation of line link is given below.

https://brainly.com/question/21511618

#SPJ1

Answer:

[tex]\textsf{A)}\quad y=-\sqrt{x}+2[/tex]

Step-by-step explanation:

Parent function:

[tex]y = \sqrt{x}[/tex]

The properties of the parent function are:

From inspection of the graph, as the x-values increase, the y-values decrease. Therefore there has been a reflection in the x-axis.

The y-intercept is now at (0, 2), therefore the function has been translated 2 units up.

Translations

For a > 0

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

Therefore:

Reflected in the x-axis:  [tex]-f(x)=-\sqrt{x}[/tex]

Then translated 2 units up:  [tex]-f(x)+2=-\sqrt{x}+2[/tex]

So the equation that represents the transformed function is:

[tex]y=-\sqrt{x}+2[/tex]

Answer:

i think is the third one

Answer:

option C.

Step-by-step explanation:

If we calculate average rate of change of a function over a certain interval, we’re computing the average number of units which the function moves up or down, per unit along on the xx-axis. We might alternatively argue that we’re measuring how much change occurs in our function’s value per unit on the xx-axis.

The equation for average rate of change is -

Δx/Δf =

f(x2) - f(x1) / x2 - x1

Answer:

  C  k(x)

Step-by-step explanation:

The average rate of change (m) of a function on an interval is the difference between the function values at the ends of the interval, divided by the interval width:

  [tex]m_{ab}=\dfrac{f(b)-f(a)}{b-a}\qquad\text{average rate of change on interval $[a,b]$}[/tex]

__

Here, the interval of concern is the same for all of the functions. It is [a, b] = [0, 2] so the denominator of this fraction is 2-0 = 2 for all of the functions. That means we can determine the greatest average rate of change by simply looking at the differences f(2) -f(0) for each of the functions.

  A. j(2) -j(0) = 3(1.6²) -3 = 4.68

  B. g(2) -g(0) = 25/2 -8 = 9/2 = 4.5

  C. k(2) -k(0) = 9 -4 = 5 . . . . . . . . . . greatest amount of change

  D. f(2) -f(0) = 1.5(2²) -1.5 = 4.5

The function k(x) has the greatest average rate of change over the interval [0, 2].

The half life in days is  1924.0245 days.

Half life is the time taken for the radioactivity of a substance to fall to half its original value.

Given:

N= 8

N[tex]_0[/tex]= initial mass

t= in days

So, N= [tex]N_0e^{-kt}[/tex]

Putting the values we get

half value = 5.2713 years or 1924.0245 days

Hence, the half-life is 1924.0245 days.

Learn more about half life here:

https://brainly.com/question/24710827

#SPJ1

Step-by-step explanation:

please mark me as brainlest

Answer:

DF

Step-by-step explanation:

Paint a picture in your head reflecting the triangle. Just hold A and flip it so A = E , D = B

Answer: (3,6)

Rewrite in vertex form and use this form to find the vertex (h,k)

Answer:

(3,6)

Step-by-step explanation:

f(x) = |x| is a V-shaped graph with the vertex at (0,0). It is called a parent graph, because its super basic.

f(x) = |x - 3| + 6

has had two changes made to it. The "- 3" that's in there close to the x slides the graph over to the right 3 units. This is kind of the opposite of what you might think. Minus3 shifts right. (Plus3 would shift left)

The +6 tacked on to the end shifts the whole graph UP 6.

That slides the graph RIGHT3 and UP6. So the vertex lands at (3,6). See image.

The difference of the fractions as given in the task content is; (4-2x) / (x²-16).

According to the task content, the fractions whose difference is to be evaluated are as indicated below;

[tex] \frac{x}{( {x}^{2 } - 16)} - \frac{3}{x - 4} [/tex]

Hence, the LCM of the denominators of both fractions can be evaluated as;

x -3(x+4)/(x²-16).

(4-2x) / (x²-16)

Hence, the difference of the two fractions is; (4-2x) / (x²-16).

Read more on difference of fractions;

https://brainly.com/question/14850477

#SPJ1

In quadrilateral PQRS, ∠P and ∠S are opposite angles.