A line passes through the points (-6, 4) and (-2, 2). Which is the equation of the line?
y= -1/2 x + 1
y= 1/2 x +7
y= -2x - 8
y= 2x + 16

Answer:

x= 3

Step-by-step explanation:

∠RTS +∠RST= ∠QRT (ext. ∠ of △RST)

(25x)° +(57 +x)°= (45x)°

25x° +x° +57°= 45x°

26x° +57°= 45x°

45x° -26x°= 57°

19x°= 57°

x°= 57° ÷19

x°= 3°

∴ x= 3

Alternatively, find the measure of the angle RST using ∠ sum of triangle then find ∠QRT using adjacent angles on a straight line. Equate this value to 45x and solve for x.

Answer:

- 8n + 9

Step-by-step explanation:

A - B

= - 3n + 2 - (5n - 7) ← distribute by - 1

= - 3n + 2 - 5n + 7 ← collect like terms

= - 8n + 9 → or 9 - 8n

Answer:

Step-by-step explanation:

p =  b + c/5                     Subtract b from both sides

p - b = c/5                       Put brackets around the left side

(p - b) = c/5                     Multiply by 5

5(p - b) = c

Answer:

The modulus of the complex number 6-2i is:

[tex]|z|\:=2\sqrt{10}[/tex]

Step-by-step explanation:

Given the number

[tex]6-2i[/tex]

We know that

[tex]z = x + iy[/tex]

where x and y are real and [tex]\sqrt{-1}=i[/tex]

The modulus or absolute value of z is:

[tex]|z|\:=\sqrt{x^2+y^2}[/tex]

Therefore, the modulus of [tex]6-2i[/tex]  will be:

[tex]z=6-2i[/tex]

[tex]z=6+(-2)i[/tex]

[tex]|z|\:=\sqrt{x^2+y^2}[/tex]

[tex]|z|\:=\sqrt{6^2+\left(-2\right)^2}[/tex]

    [tex]=\sqrt{6^2+2^2}[/tex]

    [tex]=\sqrt{36+4}[/tex]

    [tex]=\sqrt{40}[/tex]

    [tex]=\sqrt{2^2}\sqrt{2\cdot \:5}[/tex]

    [tex]=2\sqrt{2\cdot \:5}[/tex]

   [tex]=2\sqrt{10}[/tex]

Therefore, the modulus of the complex number 6-2i is:

[tex]|z|\:=2\sqrt{10}[/tex]

Answer:

4 2/3 cups of water

Step-by-step explanation:

The original recipe has 3 1/2 cups of potatoes and 3 1/4 cups of water.

4.

If you put 5 cups of potatoes, you can find the amount of water you need using a proportion.

3 1/2 cups of potatoes is to 3 1/4 cups of water as 5 cups of of potatoes is to x cups of water.

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

(7/2) / (13/4) = 5/x

7/2 * x = 13/4 * 5

2/7 * 7/2 * x = 2/7 * 13/4 * 5

x = 130/28

x = 65/14

x = 4 9/14

4 9/14 as a decimal is 4.64 which is close to 4.6666...

Answer: 4 2/3 cups of water

Answer: 3 times a number can be written as 3x.

Five less than 3x means you must subtract 5 from 3x.

the word "is" means equals,

so 3x-5=10

Step-by-step explanation:

since it is given that 3 times a number less than five is 1

since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1

since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1 x=6/3

since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1 x=6/3 x=2

Answer:

46.61

Step-by-step explanation:

18% of 39.50 = 7.11

39.50 + 7.11 = 46.61

Answer:

8/105

Step-by-step explanation:

Answer:

the answer is 14/125

Step-by-step explanation: do keep flip switch

2/5 stays the same change the mixed number into a fraction so the new fraction is 25/7 then flip 25/7 to 7/25 then multiply 2/5 by 7/25 and that give s u 14/125

hopefully this helps out

Answer:

2n + 5

Step-by-step explanation:

I hope this helps!

Answer:

Under normal circumstances a system of two linear equations can have 0, 1 or infinitely many solutions.

Step-by-step explanation:

Answer:

x= -2 y= -5

Step-by-step explanation:

Eliminate y by subtract = 3x-6x-2y+2y=6 ; x=-2

plug-in x = -2

-6-2y = 4 y = -5

Answer:

(- 2, - 5)

Step-by-step explanation:

[tex]\left \{ {{3x-2y=4} \atop {6x-2y=-2}} \right.[/tex]

(2) - (1)

(6x - 3x) + [- 2y - (- 2y)]= - 2 - 4

3x = - 6 ⇒ x = - 2

3( - 2) - 2y = 4 ⇔ - 6 - 2y = 4 ⇒ y = - 5

(- 2, - 5)

Answer:

4(-m - y)

Explanation:

Variables can be negative.

Answer:

Step-by-step explanation:

the students that are in the survey are in it because they like the subject, rather than picking students from both types of groups, the ones that aren't doing remote learning and the ones that are doing remote learning.

Bias occurs when a particular portion of the population is given more weight or have a higher priority during sample selection which in turn affects the outcome and result of our result as it won't be representative of the population. The type of bias introduced in the scenarios above are :

Selection bias occurs when only a particular faction of the population is used rather than the entire population during sample selection. Rather than making selection from the entire students, only those who signed for remote learning were sampled.

Non - response bias occurs when a large portion of the selected sample fail to participate in a survey. With only 28% response and 72% non - responsive. Non - response bias has creeped in.

Undercoverage bias is usually associated with convenience sampling as the selection made might fail to randomly cover the entire population.

Hence, selection, non - response and Undercoverage bias are present in the selection made by the principal.

Learn more :https://brainly.com/question/18405415

Answer:

The difference is $5.62

Step-by-step explanation:

The total cost Marcus will pay is

35.99 + 5.5% of 35.99

= 35.99 + 0.055(35.99) = 35.99 + 1.97945 = 37.96945

The total cost Tai will pay is;

39.99 + 9% of 39.99

= 39.99 + 0.09(39.99) = 43.5891

The difference between the total costs will be;

43.5891 - 37.96945 = 5.61965

To the nearest cent, this is 5.62

Answer:

I have the same questions and I got them right

Step-by-step explanation:

16. What is P(red, yellow, blue)?

P(red, yellow, blue)=  6/16= 3/8.

4/16+ 1/16+ 1/16= 6/16= 3/8

17. What is P(orange, yellow)?

P(orange, yellow)= 1/8

1/16+1/16= 2/16= 1/8

18. P(green, blue, purple)?

P(green, blue, purple)= 5/8

7/16+1/16+2/16= 10/16= 5/8.

19. P(pink)?

P(pink)=0

There is no pink color.

20. P(red, orange, yellow, green, blue, purple)?

P(red, orange, yellow, green, blue, purple)= 16/16= 1.

4/16+ 1/16+ 1/16+ 7/16+1/16+2/16 =16/16= 1.

Hope it helps!!!

Answer:

5 weeks if it stays the rate of 3 quizzes a week

brainliest if correct please

Step-by-step explanation:

Answer:

it would be (5,60)

Step-by-step explanation:

he bought 5 boxes

each box has 12 pencils

5*12=60

9514 1404 393

Answer:

Step-by-step explanation:

2. The x-value of the given points is the same, so the points both lie on the vertical line ...

  x = P

__

1. The slope of a vertical line is "undefined".

__

3. Given that P ≠ 0, the vertical line is parallel to the y-axis, so there is no y-intercept.

__

4. A line perpendicular to a vertical line will be horizontal. A horizontal line has a slope equal to zero.

Answer:

The initial investment is $821.58

Step-by-step explanation:

Giving the following information:

Future Value (FV)= $90,597

Number of periods (n)= 25*12= 300

Interest rate (i)= 1.58% = 0.0158

To calculate the initial investment, we need to use the following present value (PV) formula:

PV= FV/(1+i)^n

PV= 90,597 / (1.0158^300)

PV= $821.58

The initial investment is $821.58

Answer:

a = 35°

Step-by-step explanation:

The angles in a triangle always add up to 180°

∴ 33 + 112 + a = 180

∴a=35°

Answer:

The total number of pencils is 6

Step-by-step explanation:

According to the given scenario, the computation of the total number of pencils is as follows:

There are 18 students

And let us assume there is m mechanical pencils that put in each bag

also he put twice of the regular pencil

So if he put the 3 mechanical pencil

So, the total number of pencils is

= 3 × 2

= 6

As it twice of the regular pencil

hence, the  total number of pencils is 6

Answer:

Sally is 10 miles

The coordinate ofthe deli is (1, -1)

Step-by-step explanation:

✍️Coordinate of Sally = (-3, 2)

Coordinate of Ocean Front = (5, -4)

The distance of Sally to Ocean Front Housing Complex = the distance between point (-3, 2) and (5, -4).

Use the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to calculate the distance between (-3, 2) and (5, -4):

[tex] d = \sqrt{(5 -(-3))^2 + (-4 - 2)^2} [/tex]

[tex] d = \sqrt{(8)^2 + (-6)^2} [/tex]

[tex] d = \sqrt{64 + 36} [/tex]

[tex] d = \sqrt{100} = 10 [/tex]

✅The distance of Sally is 10 miles

✍️the coordinate of Deli would be half the distance between Sally and Ocean Front.

Therefore, use the midpoint formula to calculate the coordinate of the midpoint between Sally (-3, 2) and Ocean Front (5, -4).

Midpoint of (-3, 2) and (5, -4).

[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]

Plug in the values

[tex] M(\frac{-3 + 5}{2}, \frac{2 +(-4)}{2}) [/tex]

[tex] M(\frac{2}{2}, \frac{-2}{2}) [/tex]

[tex] M(1, -1) [/tex]

✅The coordinate ofthe deli is (1, -1)

Answer: 21/44

Step-by-step explanation:

Given that:

Bag contains :

6 red apples

6 yellow apples

Number of samples drawn = 3

Probability that sample contains more red than yellow :

Then from the three samples, red = 2 and yellow = 1 or red for all 3

Prob of RRR = (6/12)(5/11)(4/10)= 120 / 1320

Prob RRY = (6/12)(5/11)(6/10)= 150/1320

Prob RYR is (6/12)(6/11)(5/10)= 180/1320

Prob YRR is (6/12)(6/11)(5/10)=180/1320

120/1320 + 150/1320 + 180/1320 +. 180/1320 = 630/1320 =126/264 = 42/88 = 21/44

Answer:

The answer is 75% and 75/100