Calculate the shortest distance between P and Q.

Answer:

(x+5)(x-4)

Step-by-step explanation:

Answer:

(X-4) (X+5)

Step-by-step explanation:

look for 2 numbers that multiply to be -20 and adds up to be 1 which ould be -4 and 5

Answer:

D. (x - 3)(x - 1)

Step-by-step explanation:

Factor the following:

[tex] \longrightarrow [/tex] x² - 4x + 3

The factors of 3 that sum to -4 are -1 and -3.

So,

[tex] \longrightarrow [/tex] x² - x - 3x + 3

[tex] \longrightarrow [/tex] x(x - 1) - 3(x - 1)

[tex] \longrightarrow [/tex] (x - 3)(x - 1)

Answer:

10.5

Step-by-step explanation:

2.99 divided by 2 = 1.495 x 7 = 10.465, rounded is 10.5.

Answer: average y = -8 average y =2

ARC : -4

Step-by-step explanation:

Average rate of change is the change in the function per unit in a given interval. The average rate of change from [tex]x = 5[/tex] to [tex]x = 7[/tex] is -4

Given

The graph of [tex]y = f(x)[/tex]

See attachment for the points on f(x) that links [tex]x = 5[/tex] to [tex]x = 7[/tex]

The line segment is represented by a green line

To determine the average rate of change using the line segment; we have the following values.

When [tex]x =5; y = 8[/tex]

When [tex]x =7; y = 0[/tex]

So, the average rate of change (m) is:

[tex]m = \frac{\Delta y}{\Delta x}[/tex]

Where:

[tex]\Delta y = y_2 - y_1[/tex]

[tex]\Delta y = 0-8[/tex]

[tex]\Delta y = -8[/tex]

[tex]\Delta x = x_2 - x_1[/tex]

[tex]\Delta x = 7 - 5[/tex]

[tex]\Delta x = 2[/tex]

So, we have:

[tex]m = \frac{\Delta y}{\Delta x}[/tex]

[tex]m = \frac{-8}{2}[/tex]

[tex]m = -4[/tex]

Hence, the average rate of change from [tex]x = 5[/tex] to [tex]x = 7[/tex] is -4

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Answer:

20！

Step-by-step explanation:

Answer:

-1029

Step-by-step explanation:

24, 11, -2...

f(n) = 24 - 13n

f(81) = 24 - 13(81) = 24 - 1053 = -1029

Answer:

EF=35

EG=22

Step-by-step explanation:

EF

7y-14=2y+21

5y=35

y=7

EF=7(7)-14=49-14=35

EG

15x+7=12x+10

3x=3

x=1

EG=15(1)+7=15+7=22

Answer:

(a). 35 units ; (b). 44 units

Step-by-step explanation:

(a). 7y - 14 = 2y + 21 ⇒ y = 7

EF = 7(7) - 14 = 35 units

(b). EJ = JG

15x + 7 = 12x + 10 ⇒ x = 1

EG = 2 × (15(1) + 7) = 44 units

Answer: total cost of the stuff she buys ≤ 18 since she only has 18 dollars to buy stuff

Step-by-step explanation:

let's add up the cost of the stuff she buys:

- a flat cost of $6.50

- a savings of $5.75 (she's technically not spending money but we can count this as part of her expenses since it's taking away from the 18 dollars)

- some number (x) candy bars. if each candy bar costs $1.15 then the money she spends on candy bars is $1.15

with that being said:

6.50 + 5.75 + 1.15x ≤ 18

solve for x

since we are talking about whole # candy bars, if you get a decimal from this, round down to the nearest whole #

Answer:

Andrea can buy 5 candy bars.

Step-by-step explanation:

First to solve this we will subtract 6.50 from 18 because Andrea already spent that money. Then we must subtract 5.75 from 18 because Andrea can't spend that money. All the subtracting equals 5.75. After that we can divide the remaining money by 1.15 to see how many candy bars we can buy which equals 5. Finally the answer is that Andrea can buy 5 candy bars.

Answer:

yr point is A

Step-by-step explanation:

If a point is on the bisector of an Angle , then it is equidistant from two sides .

The Meaning of Bisector is to divide something or anything into two equal Halves.

The Meaning of Bisector of any Angle means to divide that Angle into two equal Parts.

Option A

equidistant from the two sides of the angle.

i jst taken the quiz

Answer:

equidistant from the two sides of the angle.

Step-by-step explanation:

E=RIGHT FOR AP-EX

Answer:

[tex] E_{T} = 36.84 J [/tex]        

Step-by-step explanation:

La energía mecánica total está dada por:

[tex] E_{T} = E_{c} + E_{p} [/tex]

[tex] E_{T} = \frac{1}{2}mv^{2} + mgh [/tex]

En donde:

m: es la masa = 150 g

v: es la velocidad = 0.8 m/s

h: es la altura = 25 m

g: es la gravedad = 9.81 m/s²

[tex] E_{T} = \frac{1}{2}mv^{2} + mgh = \frac{1}{2}0.15 kg*(0.8 m/s)^{2} + 0.15 kg*9.81 m/s^{2}*25 m = 36.84 J [/tex]

Por lo tanto, la energía mecánica total es 36.84 J.

Espero que te sea de utilidad!      

Answer:

x=12

Step-by-step explanation:

Answer:

Pay Rate = Constant of Proportionality = E/h

Step-by-step explanation:

Recall this formula:  Total Pay = (Hourly Pay Rate)*(Number of Hours Worked)

Apparently there was a graph associated with this problem; it's up to you to share all instructions and other info that comes with your question.

Rewriting Total Pay = (Hourly Pay Rate)*(Number of Hours Worked), using E for total earnings and h for the number of hours worked, we get:

E = (Hourly Pay Rate)*h

The relevant constant of proportionality is found by dividing E by h:

Pay Rate = Constant of Proportionality = E/h

Answer:

A. Payday Lending

Explanation:

Payday Lending is common for small lending companies and not banks. They assist clients who have a minimal amount of salary to borrow a small amount of money with a high interest. The amount of money he can borrow will depend on the amount of salary he receives per month. The client will not be required to give any form of collateral for the borrowed money, thus, the client is said to be high-risk. However, he will have to return the money over a short period of time with an interest rate that is high. Though it is easy to get a loan with this kind of service, you have to make sure that you are employed.

Banks prefer to offer loans to people who have a steady income and a certain amount of salary.  

Answer:

c

Step-by-step explanation:

Answer:

It's C Aka x(yz)

Step-by-step explanation:

I Just Got A lOO% When I Put That As My Answer On My Quiz On Edge. :)

Answer:

C - {2,5,6,7,4,8}

Step-by-step explanation:

It's just because these are the numbers that they don't have in common.

You from irv guessing from your username?

Answer:

Step-by-step explanation:fhh

Answer:

Its DC and AB

Answer:

B

Step-by-step explanation:

The intersection of both a solid figure and a plane is called a cross section

Answer:

cross section

Step-by-step explanation:

i had this same question on  ossadayware

Answer:

y = - 1

you basically replace with a 0 and multiply 8 and 0 which leaves you with y = -1

Answer:

no jami can not mow 1 1/2 in 1 hour

Step-by-step explanation:

well 1/6 * 9 = 1.5

8 * 9 = 72

i would take her 1 hour and 12 minutes to mow

Answer:

C. The relation does not represent y as a function of x, because one value of x is associated with two values of y

Step-by-step explanation:

I chose choice c because in the relation we can see that the x-value 1 repeated but their y-values are different, one has 0 as its y-value and one has -2 as its y-value. In a function, this can't happen so it's not a function.

Hope this helps you

Answer:

2

Step-by-step explanation:

the slope is always 1/2 so 5-3

Answer:

a = 4

Step-by-step explanation:

a = ?

b = 5

c = 3

a = √ (c^2 - b^2)

a = √ (3^2 - 5^2)

a = √ 25 - 9

a = √ 16

a = 4

Answer:

Step-by-step explanation:

Step one:

given data

total budget=$2500

we are told that the hall charges $60 for cleanup, the amount is a fix charge

and per person is $39

let the number of persons be x

The model for the situation is described by y=mx+c

Step two:

2500=39x+60

solve for x

2500-60=39x

2440=39x

divide both sides by 39 we have

x=2440/39

x=62.56

The greatest number of people that they may invite and still stay within their budget.  is 62

Answer:

-9 points

Step-by-step explanation:

He starts at 0 but gains 7 [7] then loses 10 [-3] gains 2 [-1] and loses 8 [-9]

Answer:

4m^2+ 5m +2mn

Step-by-step explanation:

The simplified value of 4m + 2mn + m² + m + 3m² is equal to 4m²+ 5m + 2mn.

The expression given is 4m + 2mn + m² + m + 3m².

We have to simplify the above expression.

What are the variables ?

A variable is a term which represents an unknown number or unknown value or unknown quantity.

As per the question ;

The expression given is 4m + 2mn + m² + m + 3m²

Let's simplify this by adding similar variables ;

4m , m are same variables

i.e., 4m + m = 5m

Similarly ,

m² and 3m² are same variables

i.e., m² + 3m² = 4m²

So ,

The value after simplification will be ;

4m + 2mn + m² + m + 3m²

= 4m²+ 5m + 2mn

Thus , simplified value of 4m + 2mn + m² + m + 3m² is equal to 4m²+ 5m + 2mn.

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Answer:

Step-by-step explanation:

1st step is to solve x from ΔWXY

∠W + ∠X + ∠Y = 180

where ∠W = 5x + 2

           ∠X = 7x + 4

           ∠Y = 180 - (15x - 18)

                 = 198 - 15x

now plugin values into the equation:

5x + 2   +   7x + 4  +  198 - 15x  = 180

combine similar terms:

5x + 7x - 15x = 180 - 2 - 4 - 198

simplify:

-3x = -24

x = -24 / -3

x = 8

2nd step is to substitute x = 8 into ∠XYZ

∠XYZ = 15x - 18

∠XYZ = 15(8)  - 18

∠XYZ = 102

Answer:

solve the second equation for x

Answer:

4/25

Step-by-step explanation:

Its 4/25 as a fraction

Answer:

125 m

Step-by-step explanation:

The path of Kristina is in the shape of a right triangle where, the perpendicular is the path from the McDonalds to the three-way junction which is 145 m and the shortest distance between the McDonalds and the church is 191.442 m.

By Pythagoras theorem

[tex]145^2+x^2=191.442^2\\\Rightarrow x=\sqrt{191.442^2-145^2}\\\Rightarrow x=125\ \text{m}[/tex]

Christina had to travel 125 m from the three-way junction to the church.

The distance Kristina travelled from the three-way junction to the church is; x = 125 meters

     We are told that she drove 145 meters towards the three way junction. She now turned right to reach a nearby church around rimando road.

This means that if the distance at which she turned right is x, then x is perpendicular to 145 m.

     Now, we are told that the displacement between the church and McDonalds is 191.442 meters.

The displacement means the distance from the final position to the initial position. Thus, there will form a right angled triangle with 191.442 as the hypotenuse.

Using Pythagoras theorem, we have;

x² + 145² = 191.442²

x² = 191.442² - 145²

x² = 15625.039364

x = √15625.039364

x = 125 meters

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Answer:

A central angle, such as angle of circle Z, is an angle whose vertex is and whose sides are radii of the circle.

Answer:

do you have a pic of the circle

Step-by-step explanation: