Abigail must move a bucket of tomatoes from her garden to her kitchen, as represented on the grid below.
y
Kitchen
L(5, 1)
-1 0
2
Garden
-(-3, 4)

Given :-

To Find :-

Solution :-

The equation of the line p is ,

[tex]\sf\blue{\longrightarrow}[/tex] y = 5/3x - 4

On comparing to slope intercept form of the line which is y = mx + c , we have ,

[tex]\sf\blue{\longrightarrow}[/tex] m = 5/3

Now as we know that the product of slopes of two perpendicular lines is -1 . So the slope of the perpendicular line will be ,

[tex]\sf\blue{\longrightarrow} m_{\perp} = -3/5[/tex]

Now here the line q passes through the point (-10,-3) . So on using the point slope form of the line we get ,

[tex]\sf\blue{\longrightarrow} y - y_1 = m(x-x_1)[/tex]

[tex]\sf\blue{\longrightarrow}[/tex] y - (-3) = -3/5[ x-(-10)]

[tex]\sf\blue{\longrightarrow}[/tex] y +3 = -3/5(x+10)

[tex]\sf\blue{\longrightarrow}[/tex] y+3 = -3/5x - 6

[tex]\sf\blue{\longrightarrow}[/tex] y +9 = -3/5x

[tex]\sf\blue{\longrightarrow}[/tex] y = - 3/5x - 9

Hence the required answer is y = -3/5x - 9 .

Answer:

For Perpendicular lines you have to know

Step-by-step explanation:

Slope of P ×slope of q=-1 (always since they are perpned..)

so as P has the slope 5/3 in order to optain - 1 the slope of q should be negative of the inverse of p

so q solpe =-3/5 then lets try (5/3)×(-3/5)? =-1 yes

And be aware that you have to know the formula of straight line : y-ypoint=slope(x-xpoint) or y=ax+b

so y+3=-3/5(x+10) ===> y=-3/5x - 30/5 - 3

uniting the denominater ==>y=-3/5x - 45/5

so that q equation is :y=-3/5x - 9

Answer:

1. is a solution

2. is a solution

3. not a solution

4. not a solution

5. not a solution

6. is a solution

7. is a solution

8. not a solution

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

so the hypotenuse for both triangles is 19.use Pythagoras theorem to get the base of both triangles as 8.5cm each.add the two bases and get 17.minus 17 from 31 to get 14cm as the remaining part

Answer:

27

Step-by-step explanation:

3 * 9 = 27

Hope this helps!

Answer:

The bold word help you

Step-by-step explanation:

Consider the numbers 2, 23, 234, 2345, 23456, 234567.

Every number divisible by 9 is divisible by 3. For example, 7425 is divisible by 9, hence it is divisible by 3. However, a number divisible by 3 is not necessarily divisible by 9. For example 6, 12, 15, 21, 24, 30 are all divisible by 3 but none of them is divisible by 9.

6 is divisible by 3 but not by 9 because 6 is greater than 3 but smaller than 9

Answer:

ya

Step-by-step explanation:

25 percent is equally to 25 over 100 which is 1over4

Answer:

≥7

Step-by-step explanation:

6x7=42

Hope that helps

Answer:

x≥7

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The factors of 5 and 15 are 1, 5 and 1, 3, 5, 15 respectively.

How many factors does 15 have?

4 factors

Factors of 15 are the list of integers that can be evenly divided into 15. It has a total of 4 factors of which 15 is the biggest factor and the positive factors of 15 are 1, 3, 5, and 15.

We want to get the expected value for the given experiment, we will see that it is equal to -1/6 points, so the correct option is "negative one-sixth"

For an experiment with events {x₁, x₂, ..., xₙ}, each one with probability {p₁, p₂, ..., pₙ}, the expected value is given by:

EV = x₁*p₁ + ... + xₙ*pₙ

Here we have two events:

Let's find the probabilities of each one of these.

She gets 9 points if the sum of the two dice is equal to 8 or 12.

Each dice has 6 outcomes.

Then a combination of two dice has a total of 6*6 = 36 outcomes.

The outcomes that add to 8 or 12 are:

dice 1   dice 2  sum

2           6            8

3           5            8

4           4            8

5          6             8

6           2            8

6           6            12

So 6 out of the 36 outcomes, then the probability of this event is:

p₁ = 6/36 = 1/6

And the other event is for all the other outcomes, so the probability is just:

p₂ = 5/6

Then the expected value is:

EV = (+ 9 points)*(1/6) + (-2 points)*(5/6)  = -1/6 points.

So the correct option is negative one-sixth.

If you want to learn more about expected value, you can read:

https://brainly.com/question/22097128

Answer:

-1/6

Step-by-step explanation:

Answer:

-7 is the answer!! :) hope this helps

Answer:

2

Step-by-step explanation:

slope formula : [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where the x and y values are derived from known points

We are given the points (3,1)and (4,3)

Given these points we can define our variables

(x1,y1) = (3,1) so x1 = 3 and y1 = 1

(x2,y2) = (4,3) so x2 = 4 and y2 = 3

Now that we have defined our variable, we plug them into the formula

Recall formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

x1 = 3 , y1 = 1 , x2 = 4 , y2 = 3

* plug in values *

[tex]\frac{3-1}{4-3}[/tex]

subtract 3 and 1 , and 4 and 3

[tex]\frac{3-1=2}{4-3=1} =\frac{2}{1} =2[/tex]

the slope is 2

Answer:

Parallel: a and c

Perpendicular: a and b, c and b

Step-by-step explanation:

Basically you would want to isolate for y.

Line a:

4y - 12x = 20

4y = 12x  + 20

y = 12x/4 + 20/4

y = 3x + 5

Line b:

3y = -x+2

y = -x/3 + 2/3

Line c:

y=3x - 1

Now look at each line and compare their slopes.

-Lines a and c have same slope., thus they are parallel.

-lines a and b are perpendicular because the slopes are negative reciprocals each other

-lines b and c are also perpendicular

Answer:

-13

Step-by-step explanation:

negative 13 = -13

Answer:

1.6 hrs remaining, or 3.12 km/h

Step-by-step explanation:

Answer:

$ 1.2

Step-by-step explanation:

you need to divide 6/5 and then that's the answer.

Answer:

this is easy 100% in this case equals 100 so 15 Juveniles equals 15%

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer would be 23.07/3 = 23 is $7.69

Answer:

E=118

K=50

Step-by-step explanation:

I=E

E=118

K=360-118-118-74 (sum of angles in quad)

K=50

Answer:

However much he had on his card in the first place.

Step-by-step explanation:

Say he had $500 on his card. He took 0 rides ( no rides ) so he doesn't lose any money. Leaving him with his starting amount, $500.

Answer:

  Q16a: 432 cm³

  Q16b: sides: 20 m, 6 m; height: 13 m.

Step-by-step explanation:

Each cube will have a volume ...

  V = s³

  V = (6 cm)³ = 216 cm³

The two cubes together will have a volume that is twice that.

The cuboid volume is 432 cm³.

__

Let h represent the height of the trapezium. Then its area is ...

  A = 1/2(b1 +b2)h

  169 = 1/2((h +7) +(h -7))h = 1/2(2h²) = h²

  h = √169 = 13 . . . . . distance between the parallel sides

The side lengths are h+7 = 20 m and h-7 = 6 m. The distance between them is 13 m.

Answer:

Anil

Step-by-step explanation:

This is because 1/3 is greater then 1/5

Answer:

One pair of socks would be 1 dollar and 30 cents

Step-by-step explanation:

you divide the price of the socks by how many socks there are to get the answer.

Answer:

Yes, this equation is a system of equations because the two equations do intersect at the point, (0.323529411763, -1.23529411765), making them have a solution. *Work Below*

Step-by-step explanation:

Lets use the elimination method which is ...

4x-3y=5

2x+7y=-8

Multiply the bottom part by -2

(-2)2x+(-2)7y=(-2)-8

which equals...

-4x-14y=16

Rewrite the equations

4x-3y=5

-4x-14y=16

Add and the x's cancel making..

-17y=21

Divide by -17 to isolate y

y=-1.23529411765

Replace y with -1.23529411765 on one of the equations

4x-3(-1.23529411765) =5

x=0.323529411763

solution : (0.323529411763, -1.23529411765)

=========================================================

How to get that answer:

The slope is the rate of change for any linear function.

Apply the slope formula for any two points on the diagonal line.

I'll use the points (-4, -3) and (0, 4)

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{4-(-3)}{0-(-4)}\\\\m = \frac{4+3}{0+4}\\\\m = \frac{7}{4}\\\\[/tex]

The slope is m = 7/4

This indicates that each time we go up 7 (rise), we also go to the right 4 units (run)

slope = rise/run = 7/4

rise = 7, run = 4

The fraction 7/4 converts to the decimal form 1.75

Answer:

1st

Step-by-step explanation:

1) 1m cost = $8.28/0.3=$27.60/m

2) 1m cost = $ 13.00/0.4=$32.5/m

Answer:

  3.006, 3.06, 3.066, 3.6, 10

Step-by-step explanation:

Numbers written in a place-value system are compared left-to-right. If the digits with the same place-value multiplier being compared are the same, then the next digits to the right need to be compared.

The number 10 is the greatest. (None of the others have a digit in the 10s place.)

The number 3.6 is the next greatest. (6 in the tenths place is the largest digit there.)

The number 3.066 follows that, then 3.06.

3.006 is the least.

In order from least to greatest, the numbers are ...

  3.006, 3.06, 3.066, 3.6, 10

Answer:

2

Step-by-step explanation:

each time that x gains 1, y gains 2

2/1=2

Answer:

15a - 12

Step-by-step explanation:

7a - 4 [ 2 - (2a - 1) ] ← distribute parenthesis inside the bracket by - 1

= 7a - 4 [ 2 - 2a + 1 ]

= 7a - 4 (- 2a + 3) ← distribute parenthesis by - 4

= 7a + 8a - 12 ← collect like terms

= 15a - 12