Let P(–2, 5) and Q(–5, 9). The component form of Vector P Q is . The magnitude of Vector P Q is . To the nearest degree, the direction angle of Vector P Q is . If Vector P Q is multiplied by the scalar –10, the new vector will be the original vector.

Answer:

Answer: B

Step-by-step explanation:

The equation [tex]y+2=\frac{3}{4} x-8[/tex] is not yet in slope-intercept form([tex]y=mx+b[/tex]).  Simply subtract 2 from both sides to turn the equation into slope intercept form as [tex]y=\frac{3}{4}x-10[/tex].  For a line to be perpendicular to another, it must have an opposite reciprocal slope.  A reciprocal is the fraction reversed, where the numerator is the denominator and vice versa.  Thus, 3/4 would become 4/3.  The opposite reciprocal of 3/4 would be -4/3.

The slope of the line given is 3/4.  Thus, simply plug in the opposite reciprocal of 3/4 for the slope to get: [tex]y=-\frac{4}{3} x+b[/tex].  Then, because the line passes through -12, 1, plug those values in for x and y, respectively.  

[tex]1=-\frac{4}{3}*-12+b[/tex]

[tex]1=16+b[/tex]

[tex]-15=b[/tex]

Thus, the equation of the line is [tex]y=-\frac{4}{3} x-15[/tex], or B.

Hope it helps :D

Answer:

1836 bacteria

Step-by-step explanation:

Now the data is a progression; 38,000, 33,820, 30,100 .........

We can find out what type of progression it is, in this case, we can see that it is a geometric progression because;

r= 33,820/38,000 = 30,100/33,820 = 0.89

So, for a geometric progression;

Un = ar^n-1

Where;

a = 38,000

r = 0.89

n = 27 days

Un = ???

Un = 38,000 * (0.89)^27 - 1

Un = 1836 bacteria

Answer:

w=4

Step-by-step explanation:

9w+4=2w+32

-2w     -2w

7w+4=32

     -4   -4

7w=28

w=4

Answer:

w = 4

Step-by-step explanation:

How to solve...

You have your equation 9w + 4 = 2w + 32, now you take 4 and subtract on both sides, so you will subtract it to 4 and 32. You get 28 as your answer. Now leave that alone, next you will take 2w and subtract it on both sides, when you subtract 2w to 9w you will get 7w. Now just do 28 divided by 7, which is 4. So w = 4. Hope this helps!

9w + 4 = 2w + 32

       - 4 =        -   4

--------------------------

     9w = 2w + 28

    -2w = -2w + 28

---------------------------

     7w = 28

     7w = 7w

---------------------------

       w = 4

Answer: 1.C 2.B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Here, we want to select the option that present a function

For a set of points to be a function, we have that every single x value is directly mapped to a single y value

As we can see, this is correct only for the third option

There is no repetition of x-values or y-values

Every x value is directly linked to a different y-values

Answer:

C

Step-by-step explanation:

Here, we want to select the option that present a function

For a set of points to be a function, we have that every single x value is directly mapped to a single y value

As we can see, this is correct only for the third option

There is no repetition of x-values or y-values

Every x value is directly linked to a different y-values

Answer:

$29.66

Step-by-step explanation:

6% taxes is 1.68 , 27.98+ 1.68= $29.66

Sales tax:

[tex]\\ \tt\longmapsto 0.06(27.98)[/tex]

[tex]\\ \tt\longmapsto 1.67[/tex]

Total=

Answer:

Step-by-step explanation:

ok so do this

9x² + 3x - 8 - (3x² + 8x)

distribute the negative sign

9x² + 3x - 8 - 3x² - 8x

simplify

6x² - 5x - 8

hope this helps <3

Answer:

(5y+11)²

Step-by-step explanation:

The given expression is :

25y²+110y+121

We need to factors of the given expression.

We know that, (11)² = 121

5² = 25

We can write the given expression as :

25y²+110y+121 = (5y)² + 2(5y)(11) +11²

Using identity : (a+b)² = a²+2ab+b²

25y²+110y+121 = (5y+11)²

Hence, the factors of 25y²+110y+121 is (5y+11)².

Answer: two solutions and

Step-by-step explanation:

Answer:

7200

Step-by-step explanation:

Find the exponents first.

10^3 = 1000

10^2 = 100

So..

7 x 1000 + 2 x 100

Do the multiplication first (BEDMAS - Brackets Exponents Division Multiplication Addition Subtraction).

7000 + 200 = 7200

Step-by-step explanation:

area of square is a^2

3.1yd^2=9.61yd^2

Answer:

Area = 9.61^2

Step-by-step explanation:

A square has all equal sides so each side is the same length. To find the area mulyiply the length by the width. Since it is a square both sides will be 3.1 yds long. So multiply 3.1 by 3.1 and you will get 9.61^2, That is the area of the square.

Answer:

Step-by-step explanation:

RS + ST = RT

6y + 3 + 4y + 7 = 60

6y + 4y + 3 + 7 = 60

       10y + 10   = 60

                  10y = 60 - 10

                 10y = 50

                    y = 50/10

y = 5

RS = 6*5 + 3 = 30 +3 = 33

ST = 4*5 + 7 = 20 + 7 = 27

Step-by-step explanation:

[Diagram in image attached]

RS + ST = RT

(6y +3) + (4y + 7) = 60

6y + 3 + 4y + 7 = 60

10y + 10 = 60

10y = 60 - 10

10y = 50

y = 50/10

y = 5

RS = 6y +3 = 6(5) + 3 = 30 + 3 = 33

ST = 4y +7 = 4(5) + 7 = 20 + 7 = 27

RT = 60

{RS + ST = RT

33 + 27 = 60}

HOPE THIS HELPS YOU

MARK AS BRAINLIEST

Answer: Felix paid for 11 months.

Step-by-step explanation:

Let x = Number of months

Given: Annual fee = $ 20

charge per month = $15

Total amount = Annual fee + (charge per month) x (number of months)

[tex]\Rightarrow\ 185 = 20+15x\\\\\Rightarrow\ 165=15x\\\\\Rightarrow\ x = \dfrac{165}{15}\\\\\Rightarrow\ x =11[/tex]

Hence, Felix paid for 11 months.

Answer:

1 hour and 30 minutes

Step-by-step explanation:

Answer:

1 hour and 30 minutes

Step-by-step explanation:

Answer:

is it 1 question or about four questions

Answer:

5x + 15

Step-by-step explanation:

3(2x + 5)-x

6x + 15 - x

5x + 15

Hope this Helps!!!

Answer:

The mean absolute deviation of the data set is 2.5

Step-by-step explanation:

We need to find mean absolute deviation of the data set:

10,8,10,6,6,2,10,4

First we will find mean of the given data set.

The formula used is: [tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}[/tex]

Sum of all data = 10+8+10+6+6+2+10+4 = 56

Number of data = 8

So, mean will be:

[tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}\\Mean=\frac{56}{8}\\Mean=7[/tex]

Now, we will calculate the absolute difference between mean and each data value.

|10-7| = 3

|8-7| = 1

|10-7| = 3

|6-7| = |-1| = 1

|6-7| = |-1| = 1

|2-7| = |-5| = 5

|10-7| = 3

|4-7| = |-3| = 3

Now, we will find mean of 3,1,3,1,1,5,3,3

Sum of all data = 3+1+3+1+1+5+3+3 = 20

Number of data = 8

So, mean will be:

[tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}\\Mean=\frac{20}{8}\\Mean=2.5[/tex]

So, the mean absolute deviation of the data set is 2.5

Answer:

D

Step-by-step explanation:

Answer:

Temperature needs to drop by 61.5°

Step-by-step explanation:

Given that:

Freezing temperature of ocean water = - 2.5

Freezing temperature of fresh water = 0

Freezing temperature = anti-freeze = - 64

If temperature has dropped to freezing point for ocean water, then current temperature = - 2.5

How many more degrees must the temperature drop for temperature to turn solid :

Freezing temperature of anti-freeze - current temperature

-64 - (-2.5)

-64 + 2.5

-61.5

-61.5(the temperature needs to drop by 61.5°)

Answer:

The length of the other leg of the triangle is 30 inches.

Step-by-step explanation:

Pythagorean: a^2+b^2=c^2

50=hypotenuse

50^2-40^2=missing leg

50^2=2500

40^2=1600

50^2-40^2=900

[tex]\sqrt{900}[/tex]=30

30 is missing leg

The length of the other leg of the triangle is; 30 inches.

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

We have been given that the length of the hypotenuse of a certain right triangle is 50 inches and the length of its legs is 40 inches.

Using Pythagorean:

[tex]a^2+b^2=c^2[/tex]

50 = hypotenuse

Let the missing length is x.

x² = 50^2-40^2

x² = 2500 - 1600

x²  = 900

x =30

Hence, the length in inches of the other leg of the triangle is 30.

Learn more about a right angle;

https://brainly.com/question/7116550

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Answer:

s+5s=6s

Step-by-step explanation:

not sure if im right but hope this helps

Answer:

6s

Step-by-step explanation:

s+5s = 1s + 5s = 6s

Answer:

(1) 8.3

Step-by-step explanation:

Answer:

1) 8.3

Step-by-step explanation:

get rid of the (), which u will get 4x-28=0.3x+0.6+2.11

combine like terms, which u will get 4x-28=0.3x+2.71

move variable to one side and numbers to the other, which you will get

3.7x=30.71

divide both sides by 3.7 which u will get 8.3

Answer: 2.5

Step-by-step explanation: subtract 2x from both sides and get 4x-2=8 so then add 2 on both sides to get 4x=10 and last step is to divide both sides by 4 which wild get you x=2.5

Answer:

I hope this helps sorry if I'm wrong

Answer:

y = 1x

Step-by-step explanation:

y

[tex]y \geqslant 1x + 2[/tex]

cancel out the +2 by using the opposite sign and add a 1 in front of the x

Answer:

2(x+5y+3)

Step-by-step explanation:

first you collect the like terms 2x+3y+6+7y.

Answer:

2(x+5y+3)

Step-by-step explanation:

i did it

Answer:

no solutions

Step-by-step explanation:

if y=2x-5

and y=2x+7

2x-5=2x+7

-5 is not equal to 7

Answer:

no solution.

Explaination:

solve for the very first variable in your equation and then you would substitute the result into the other equation. by doing so, you should get no solution.