What is the slope of this line?



Enter your answer as a fraction in simplest term in the box

Answer:

Step-by-step explanation:

Correct one is C

Answer:

60 boys are in the grade.

Step-by-step explanation: Since there are 150 students, we can divide that number by the combined ratio, which in this case is 5. Dividing 150 by 5 would yield 30 students. We can use this information to multiply the given number of boys in the ratio by 30, which would produce 60.

Answer:

The distance from point A to given line is: 2√5 or 4.472 units

Step-by-step explanation:

Given equation of line is:

[tex]-x+2y= 14[/tex]

And the point is:

[tex]A = (x_1,y_1) = (-14,5)[/tex]

The standard form of equation of line is:

[tex]Ax+By+C = 0[/tex]

Converting the given equation into standard form

[tex]-x+2y-14=0[/tex]

The distance of a point (x1,y1) from a line is given by the formula:

[tex]d = \frac{|Ax_1+By_1+C}{\sqrt{A^2+B^2}}[/tex]

In the given details,

A = -1, B = 2, C = -14

x1 = -14, y1 = 5

Putting the values in the formula

[tex]d = \frac{|(-1)(-14)+(2)(5)-14|}{\sqrt{(-1)^2+(2)^2}}\\d = \frac{14+10-14}{\sqrt{1+4}}\\d = \frac{10}{\sqrt{5}}\\d = \frac{5*2}{\sqrt{5}}\\d = \frac{\sqrt{5}*\sqrt{5}*2}{\sqrt{5}}\\d = 2\sqrt{5}\\d = 4.472\ units[/tex]

Hence,

The distance from point A to given line is: 2√5 or 4.472 units

Answer:

11 ; 12°

Step-by-step explanation:

3x + 28 + 2x - 10 + 5x + 52 = 180

10x = 180 - 70

x = 11

m∠C = 2(11) - 10 = 12°

Answer:

Angle ACB = 12°

Step-by-step explanation:

All angles in a triangle always add up to 180°, which gives us an equation to solve for x:

3x + 28 + 5x + 52 + 2x -10 = 180

Combine like terms

10x + 70 = 180

Subtract 70 from both sides

10x = 110

Divide both sides by 10

x = 11

Now we know the value of x, we need to just plug it in to angle ACB's given value:

2(11) - 10 = Angle ACB

22 - 10 = Angle ACB

12 = Angle ACB

Answer:

Step-by-step explanation:

We can split this up into 3 shapes.

Using the attached image:

[tex]A = (5-2)*(3)\\A = 3*3 = 9\\\\B = \frac{1}{2}(7-3)(5-2)\\B = \frac{1}{2}(4)(3)\\B = 2*3 = 6\\\\C = 7 * 2 = 14\\\\A + B + C = 14 + 6 + 9 = 29[/tex]

Answer:

a:t

b:f

c:f

d:t

e:f

I think

Answer:

$7.84 more

Step-by-step explanation:

To find how much more you spent on dog food, find the difference between the two prices:

12.59 - 4.75

= 7.84

So, you spent $7.84 more on the dog food

The answer to this question is 7.404

Answer:

B. 1/6

Step-by-step explanation:

Answer:

a b e i think  

Step-by-step explanation:

Answer

Step-by-step explanation:

Answer:

6, 7, and 8

Step-by-step explanation:

2x/3 + 7 > 11

Subtract 7 from both sides

2x/3 > 4

Multiply both sides by 3

2x > 12

Divide both sides by 2

x > 6

6, 7, and 8 are the ones that work

Answer:

The rabbit is faster, as it has a speed of 44 mph.

Step-by-step explanation:

Since the fox runs 62 miles in 2 hours, its speed can be determined by dividing the miles traveled by the time it took to do so. Thus, since 62/2 equals 31, its speed was 31 miles per hour.

In turn, the rabbit can travel 22 miles in half an hour. Following the same procedure, since 22 / 0.5 equals 44, its speed is 44 miles per hour.

Therefore, the rabbit is faster than the fox, since it has a speed of 44 mph versus 31 mph for the latter.

Answer:

-3/4

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer:

-3/4

Step-by-step explanation:

Answer:

x + y - 1 = 0

Step-by-step explanation:

y = -x - 11

therefore its slope is -1

x1= -3

y1 = 4

m = -1

from, y - y1 = m(x -x1)

y - 4 = -1(x + 3)

y -4 = -x -3

x + y -1 = 0

Answer:

£20

Step-by-step explanation:

Given that:

Total amount alloted = 2000

Ticket cost = 32

Discount = 1/4 off

Hence, ticket price = 3/4 * 32 = 24

Train ticket cost = 12

Total cost per person = £(12 + 24) = £36

Hence, alloted amount / cost per person

= £2000 / £36

= 55.55

Total number that can attend = 2 teachers and 53 students

Change = £2000 - (£36*55)

= £20

Answer:

-5x-y=27

Step-by-step explanation:

Plz give brainliest I am trying to rank up.

Answer/Step-by-step explanation:

Change the 3rd and 4th input. ALL the input values must be different even if they have the same output values in order to be a function. NONE of the input values should be the same, it just has to be something completely different for it to be correct. It may not be linear, but It will be correct.

Answer:

If your trying to find the slope and y-int of that equation:

Slope: 3

y-int: (0, -6)

Answer:

Step-by-step explanation:

Equation:

-3k = 108

We need to separate -3 from k. So we must do the inverse operation.

Divide both sides by -3

k = -36

Hope this helps :)

Please consider Brainliest :)

Answer: B, C, E

Step-by-step explanation:

For us to know if the options are correct, we just have to multiply the length the rope was cut into by the number of pieces and check if it equals 504 centimeter.

A. 12 pieces of 42.3 centimeter long rope.

= 12 × 42.3

= 507.6

This is wrong

B. 15 pieces of 33.6 centimeter long rope

= 15 × 33.6

= 504cm

This is correct

C. 16 pieces of 31.5 centimeter long rope

= 16 × 31.5

= 504cm

This is correct

D. 20 pieces of 25 centimeter long rope

= 20 × 25

= 500cm

This is incorrect

E. 35 pieces of 14.4 centimeter long rope

= 35 × 14.4

= 504cm

This is correct

Therefore, the correct option are B, C and E.

Answer:

2.88

Step-by-step explanation:

You add $15.95 + $1.17 = $17.12 and subtract $20 and its $2.88 he will get back

Answer:

Exact form: x = 27/5

Decimal form: x = 5.4

Mixed-number form: x = 5 2/5

Step-by-step explanation:

hope this helps :)

Answer: 11 x 10 = 110.

Step-by-step explanation: you can use a calculator for these types of problems

Answer:

One way is that you do across multiplication so if you did that for 10x11 that'll equal 110

Step-by-step explanation:

Answer:

The solution set is { } or ∅ ⇒ empty set

Step-by-step explanation:

∵ 2x + 10 < 10

→ Subtract 10 from the two sides of the inequality

∵ 2x + 10 - 10 < 10 - 10

∴ 2x < 0

→ Divide both sides by 2

∴ [tex]\frac{2x}{2}[/tex] < [tex]\frac{0}{2}[/tex]

∴ x < 0

∴ The solutions are all the negative numbers

∵ x ∈ N

∵ N is the set of Natural numbers

→ The natural numbers start at 1 and include all positive whole numbers

∴ N = {1, 2, 3, 4, 5, ..............}

∵ N does not contain any negative numbers

∴ The solution set is an empty set ⇒ ∅

∴ The solution set is { } or ∅

Answer:

Step 1 : First, solve one linear equation for y in terms of x .

Step 2 : Then substitute that expression for y in the other linear equation.

Step 3 : Solve this, and you have the x -coordinate of the intersection.

Step 4 : Then plug in x to either equation to find the corresponding y -coordinate.

Step-by-step explanation:

Answer:

1. A) -12, 3 B) -6, 9 C) 0, -6 D) -15, -6

2. L) 1, -4 M) 6, 4 N) 7, -2

3. P) 4, 12 Q) 12, 12 R) 12, 8 S) 4, 8

4. W) 3, -6 X) 9, -3 Y) 15, -6 Z) 9, -9

5. M) -14, -8 N) -8, -6 O) -6, -12 P) -12, -14

6. D) -1, 3 E) 2, 2 F) 2, 1 G) -1, 0

Answer:

[tex]y=1.25x+1.5[/tex]

Step-by-step explanation:

Step one:

given data

let the manufacturing cost of the video game be x

25% of x

=25/100*x

=0.25x

the new price of the video game will be

=0.25x+x

=$1.25x

cost of shipping is given as $1.5

let the total cost of producing a video game be y

The expression for the total cost of one video game is given as

[tex]y=1.25x+1.5[/tex]

Answer:

b

Step-by-step explanation:

7r7f7fdud6f7fuf6ffuf7f7fud7d7d6d6d

Answer:

doing this in oddseyware rn its is A C D F

mark brainlist

Step-by-step explanation:

Answer:

relation

Step-by-step explanation:

i just took the test and got it wrong because of the other answer