solve, (you can use long division if needed) <3

Hello,

We need first to know what's a gradient. The Gradient (also called Slope) of a straight line shows how steep a straight line is.

But how do we find the slope (or Gradient) from two points ?

For exemple, let's find the gradient of the two points PQ...

Method

1. We need the coordinates of the point P, and the point Q :

P = (6 ; -11)

Q = (k ; -9)

2. The slope is the change in height divided by the change in horizontal distance.

In other words we :

a) subtract the x values

b) subtract the y values

c) divide

Application for PQ

subtract x values : xQ - xP = k - 6

subtract the y values : yQ - yP = -9 - (-11) = -9 + 11 = 2

divide : (k-6) / 2

That is the gradient of PQ.. Now let us find the gradient of PR

Application for PR

subtract x values : xR - xP = 2k - 6

subtract the y values : yR - yP = -3 - (-11) = -3 + 11 = 8

divide : (2k-6)/8

That is the gradient of PR.

We know that by assumption, gradient of PQ = gradient of PR, what is the value of k ? Well, we simply need to solve an equation here :

gradient of PQ = gradient of PR

(k-6) / 2 = (2k - 6) / 8

k-6 = (4k - 12)/8 (we have multiplied by 2 on each sides of the equation)

8k - 48 = 4k - 12 (we have multiplied by 8 on each sides of the equation)

8k - 4k = - 12 + 48

4k = 36

k = 36 / 4 = 9

So the value of k in order for the two gradients to be equals needs to be equal to 9

Good luck

Answer:

3/8 or 0.375

Step-by-step explanation:

............

Answer:

5/4

Step-by-step explanation:

Area of a rectangle = length * width

A = 3/4, W = 3/5, L = ?

3/4 = L * 3/5

[tex]\frac{3}{4}= L\frac{3}{5}[/tex]

L * 3 * 4 = 3 * 5

12L = 15

L = 15/12 = 5/4

Answer:

77 in.

Step-by-step explanation:

Peter: 75.25 in.

Steve: 75.25 in. + 1.75 in. = 77 in.

Answer:

y ≥ -0.5

Step-by-step explanation:

First, we can substitute 4 in for x in the inequality.

4 - 2y ≤ 5

Now, to solve for y, we start by subtracting 4 from both sides:

-2y ≤ 1

And divide by -2.  When dividing or multiplying by a negative number while solving an inequality, we also have to remember to switch around the inequality sign.  This gives us:

y ≥ [tex]\frac{1}{-2}[/tex] or y ≥ -0.5

Therefore, the possible values of y are -0.5 or greater.

Answer:

If you were to cut it in half (3.5 x 2)

The answer would be 7

Step-by-step explanation:

Answer:

A^2 + B^2 = C^2        for a right triangle

C^2 = (10.1^2 + 12.2^2)^1/2 = 250.85^1/2 = 15.8 in

Answer:

93/40 or 2.325

Step-by-step explanation:

16/5 + (-7/8​) =

16/5 - 7/8 =

(128 - 35)/40 =

93/40 or 2.325

Answer:

36 to 6

Step-by-step explanation:

24/4 is 6

6 litters a day.

36/6 is 6

6 days for 36 litters.

the answer is 36 litters to 6 day.

Answer:

The answer is G which is 16.

Step-by-step explanation:

To solve the problem multiply 25/125 times 80.

Answer: B. SAS or/and E. HL

Step-by-step explanation:

The two triangles both have a right angle of 90 degrees and two sides that are congruent so, SAS (side-angle-side). It can also be by HL since they both have a hypotenuse (the 2 lines) and one leg (the 1 line) that are congruent to each other.

Answer:

66 Cents per pound

Step-by-step explanation:

1 ton = 2,000 pounds

5 tons = 10,000 pounds

10,000 pounds = $6,600

1 Pound = $0.66

Answer:

L = 5/4 yards

L = 1 1/4 yards

L = 1.25 yards

Step-by-step explanation:

area = Length * Width

3/4 = L * 3/5

Divide both sides by 3/5

(3/4) / (3/5) = L

When dividing by a fraction flip it over and multiply

3/4 * 5/3 = L

The 3 cancels

5/4 = L

L = 5/4 yards

as a proper fraction

L = 1 1/4 yards

As a decimal

L = 1.25 yards

Answer:

9

step by step:

sue = 45 shells

Jared= 5 shells

therefore 45÷5 =9

Answer:

9 times bigger

Step-by-step explanation:

45/5= 9 times bigger

why?

because "how many times bigger (or larger)"

Sue has 45 shells

and Jared has 5 shells

divide them and u get the answer

Answer:

84%

Step-by-step explanation:

To find a percentage, just divide the first number by the second.

[tex]\frac{193}{240}=0.80417[/tex]

So 193 is about 80% of 240.

If you were to do it in the other order:

[tex]\frac{240}{193} =1.24352[/tex]

240 is 124% of 193.

Answer:

arc RS = 72°

Step-by-step explanation:

The measure of the inscribed angle SQR is half the measure of its intercepted arc RS , then

2x + 14 = [tex]\frac{1}{2}[/tex] (6x + 6) = 3x + 3 ( subtract 2x from both sides )

14 = x + 3 ( subtract 3 from both sides )

11 = x

Then

RS = 6x + 6 = 6(11) + 6 = 66 + 6 = 72°

Step-by-step explanation:

a=b as it is alternative angles

so 6x+5=4x+45

6x-4x =45-5

2x=40

x=40 /2

x=20

Answer:

Step-by-step explanation:

Firstly, we need to get the fraction that are girls

What we have to do is to subtract the three-fifths from the total fraction of 1

Mathematically,that would be :

1- 3/5=2/5

We have it that seven-eigths of the girls are left-handed. This mean one-eight of the girls are left handed

To get the fraction of the school that are left handed, we multiply the fraction of girls by the fraction of left-handed girls

We have this as:

1/8 x 2/5=1/20

We have it that 1/20 of the children are left-handed girls

Answer:

3miles

Step-by-step explanation:

10 minutes is 1/6 of an hour, so in 1 hour ellie would hike 1/2*6=3miles

Answer:

Step-by-step explanation:

There are various ways in which we can solve this problem.

If we're told that Ellie can hike 1/2 mile in 10 minutes, then multiplying both sides of "1/2 mile = 10 minutes" by 6 yields 3 miles in 60 minutes.

Alternatively:  "1/2 mile = 10 minutes" becomes "1 mile in 20 minutes" by the same approach.  Then, multiplying both sides by 3 yields "3 miles in 60 minutes," or "3 miles in 1 hour."

Answer:

C

Step-by-step explanation:

The answer is C because r =3 I got that because it says triples. a=5 it comes from when it says five files are infected. an=3an-1. an=5(3)n-1. Hope this helps!

Answer:

d

Step-by-step explanation:

Answer:

Answer:

The way you should go about solving this really depends on how your teacher taught you...However, here's what I would recommend...

You know that 1/2 an hour is equal to 30 minutes, and 3/4 of an hour is equal to 45 minutes.

Using this you can  then solve for how many pages she read per minute by dividing the number of pages read by the number of minutes read:11 pages/ 30 minutes to give you Monday's reading speed,and18 pages/ 45 minutes to give you Tuesday's reading speed.

Next, to calculate a percentage increase you need to do the following:

1. Determine the difference between the speeds (this means you will subtract Monday's reading speed from Tuesday's reading speed.)

2. Next you take that number and divide it by Monday's reading speed.

3. Multiply that answer by 100 to get the percentage.

I'm not going to tell you the speeds, as you should try to attempt to solve it by yourself, and I'm sure you need to show your work. I will however tell you that you should find there was a 3.3% increase from Monday to Tuesday.

If you need more help, let me know!  

Step-by-step explanation:

Answer:

46 feet below sea level

Step-by-step explanation:

First, we start at -50 feet, which is 50 feet below sea level. If he swims 8 feet up, we should add the 8 feet. -50 + 8 feet which would give us -42. If he descends another 4 feet from the point where he is at right now (-42 feet), it would leave us with the point where he would be which is -46 feet. This is because we are adding the -4 feet, he descends to the -46 feet which he is already at.

Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.

DIlations are defined by the follwing operation:

[tex]P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)][/tex] (1)

Where:

If we know that [tex]O(x,y) = (1,1)[/tex], [tex]k = 0.5[/tex], [tex]J(x,y) = (3,1)[/tex], [tex]K(x,y) = (5, -3)[/tex], [tex]L(x,y) = (5,5)[/tex] and [tex]M(x,y) = (3,7)[/tex], then the coordinates of the new polygon are:

[tex]J'(x,y) = (1,1) + 0.5\cdot [(3,1)-(1,1)][/tex]

[tex]J'(x,y) = (1,1)+0.5\cdot (2,0)[/tex]

[tex]J'(x,y) = (1,1) +(1,0)[/tex]

[tex]J'(x,y) = (2,1)[/tex]

[tex]K'(x,y) = (1,1) + 0.5\cdot [(5,-3)-(1,1)][/tex]

[tex]K'(x,y) = (1,1) +0.5\cdot (4,-4)[/tex]

[tex]K'(x,y) = (1,1) +(2,-2)[/tex]

[tex]K'(x,y) = (3,-1)[/tex]

[tex]L'(x,y) = (1,1) + 0.5\cdot [(5,5)-(1,1)][/tex]

[tex]L'(x,y) = (1,1) + 0.5\cdot (4,4)[/tex]

[tex]L'(x,y) = (1,1) + (2,2)[/tex]

[tex]L'(x,y) = (3,3)[/tex]

[tex]M'(x,y) = (1,1) + 0.5\cdot [(3,7)-(1,1)][/tex]

[tex]M'(x,y) = (1,1) +0.5\cdot (2,6)[/tex]

[tex]M'(x,y) = (1,1) +(1,3)[/tex]

[tex]M'(x,y) = (2,4)[/tex]

Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.

We kindly invite to check this question on dilations: https://brainly.com/question/13176891

Answer:

Step-by-step explanation

 Hot air from the sand rose and was replaced by cool air blowing from the ocean as a sea breeze.

Answer:

s ≈ - 1.9 , s ≈ 11.9

Step-by-step explanation:

s² - 10s - 23 = 0 ( add 23 to both sides )

s² - 10s = 23

To complete the square

add ( half the coefficient of the s- term )² to both sides

s² + 2(- 5)s + 25 = 23 + 25

(s - 5)² = 48 ( take square root of both sides )

s - 5 = ± [tex]\sqrt{48}[/tex] ( add 5 to both sides )

s = 5 ± [tex]\sqrt{48}[/tex]

Then

s = 5 - [tex]\sqrt{48}[/tex] ≈ - 1.9 ( to the nearest tenth ) ← smaller solution

s = 5 + [tex]\sqrt{48}[/tex] ≈ 11.9 ( to the nearest tenth ) ← larger solution

Answer:

B. f(2) = 63

Step-by-step explanation:

f (x) = -3x2 + 180x - 285

For this case, the first thing to do is replace the value of x = 2 in the given function to know the result.

We have to replace:

f (2) = -3 * (2) ^ 2 + 180 * (2) - 285

f (2) = 63

Answer:  

the value of pa for x = 2 is:

f (2) = 63

Answer:

35°

Step-by-step explanation:

As we know vertically opposite angles are equal . So ,

x + 90= 125

x = 125-90 = 35°

Answer:

35

Step-by-step explanation:

125 + 90(APC) + DPA + EPB + x = 360

215 + DPA + EPB + x = 360

DPA = 180 - 125 = 55

EPB = DPA

EPB = 55

X = 90(EPC) - EPB

X = 90 - 55

X = 35

OR easy way

DB is a straight line so angels on it add up to 180

EPB = 180 - 125

EPB = 55

X = 90(EPC) - EPB

X = 90 - 55

X = 35

Answer: 4:5

Step-by-step explanation:

Answer:

4:5

Step-by-step explanation: