What is the slope if you are given the following ordered pairs? (Simplify)
(-1,6) & (8,6)

Answer:

the answer is .24

Step-by-step explanation:

when you multiply 0.1 x 2.4 it equals out to .24

0.1 x 2.4= .24

Answer:

64 degrees.

Step-by-step explanation:

We are given that angle QRP is 32 degrees.

We are also given that angle PRS is 84 degrees.

Add those two angles to get the measure of angle QRS.

measure of angle QRS= 116 degrees.

Same-side interior angles are supplementary

So,

116+ angle PQR= 180

subtract both sides by 116.

PQR=64

Therefore the measure of angle PQR is 64 degrees.

I hope this helps

Answer:

11787.24

Step-by-step explanation: If it costs 982.27 each month, multiply that number times 12 to equal a full year to get your answer.

Answer:£2121.8

Step-by-step explanation:

Given

Principal money [tex]P=[/tex]£2000

rate of interest is  [tex]R=3\%[/tex]

time period [tex]T=2\ yr[/tex]

The amount by compound interest is given by

[tex]A=P[1+\frac{R}{100}]^T[/tex]

Putting values

[tex]\Rightarrow A=2000[1+0.03]^2\\\Rightarrow A=2121.8[/tex]

So, after two years it will be £2121.8

Assuming the point A has coordinates (2,3) and the center of dilation is the origin.

Then the image of point A under a dilation of scale factor of 4 is (4∗2,4∗3)=(8,12)(4*2,4*3)=(8,12)(4∗2,4∗3)=(8,12)

Hence A(2,3)→A′(8,12)A(2,3)\to A'(8,12)A(2,3)→A

′

(8,12)

In general the rule for a dilation of scale factor of k is (x,y)→(kx,ky)(x,y)\to(kx,ky)(x,y)→(kx,ky)

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Answer: True-  [tex]\dfrac{9}{50}[/tex]

Step-by-step explanation:

Given

There are 50 letter tiles

9 of them is m letter

Favorable outcomes to draw an m letter tile is 9

The total ways to draw a single tile is 50

Probability is the ratio of favorable to the total outcomes

[tex]P=\dfrac{9}{50}[/tex]

So, the given statement is true

Answer:

Step-by-step explanation:

Parallel lines have the same slope.

Point-slope equation for line of slope 3 that passes through (1,-2):

y+2 = 3(x-1)

Step-by-step explanation:

1. -6u= -29-7

-6u÷-6= -36÷-6

u= 6

2. 6m= -23-1

6m÷6= -24÷6

m=-4

3. 4d=37-5

4d÷4=32÷4

d=8

Answer:

4. -6u+7=-29

-6u=-29-7

-6u=-36

-6u=-36

(divide both sides by-6 )

-6u/-6=-36/-6

u=6.

5. 6m+1=-23

6m=-23-1

6m=-24

divide-24 by 6

m=-4

6. 5+4d=37

4d=37-5

4d=32

divide by 4

d=8

Answer:

254.34 ft^2

Step-by-step explanation:

The equation for area of a circle is π*r^2, where r is the radius of the circle. So we do 3.14*9^2 for the answer

Answer:

254.34 ft

Step-by-step explanation:

radius (9)

multiply it by itself (9x9)

so then you get 81

then the two radius squared (81) is multiplied by pi (3.14)

Answer:

10.55

Step-by-step explanation:

Since both equations equal y they need to equal each other.

2x - 5 = -3x + 10

Add 3x to both sides:

5x -5 = 10

Add 5 to both sides

5x = 15

Divide both sides by 5

X = 3

Now solve for y by replacing x with 3:

Y = 2(3)-5 = 6-5 = 1

Y = -3(3)+ 10 = -9+ 10 = 1

Check: replace y with 1 and solve for x:

1 = 2x -5

Add 5 to both sides

6 = 2x

Divide both sides by 2

X = 3 ( True)

Answer:

401.92

Step-by-step explanation:

The formula used the calculate the volume of a cylinder is

πr^2h

π= 3.14

H= 8

r= 4

Volume= 3.14 × 4^2 × 8

= 3.14 × 16×8

= 401.92

Hence the volume is 401.92

Water is the Adjacent of this right triangle. 350 yards is the length of the Hypotenuse. We have given angle B, 40 degrees.

_________________________________________________________

According to SOH CAH TOA, we use CAH (cosineΘ = adjacent/hypotenuse).

cosine40 = x/350

[multiply both sides by 350]

350 · cosine40 = x

[put calculator in degree mode]

x ≈ 268 yards

So, the distance across the water from sailboat to the island is 268 yards.

_________________________________________________________

Let's use pythagorean theorem since we already know the adjacent and hypotenuse to find the opposite (opposite is also known as height).

a^2 + b^2 = c^2

a^2 + (268)^2 = (350)^2

a^2 + 71824 = 122500

a^2 = 122500 - 71824

a^2 = 50676

[square both sides]

[tex]\sqrt{a^2}[/tex] = [tex]\sqrt{50676}[/tex]

a = [tex]\sqrt{50676}[/tex]

a ≈ 225

So, the height, opposite, of the lighthouse is 225 yards.

_________________________________________________________

Answer:

56

Step-by-step explanation:

x+x+8=104

2x=96

x=48

48+8=56

Answer:

2. The area of the side walk is approximately 217 m²

3. The distance away from the sprinkler the water can spread is approximately 11 feet

4. The area of the rug is 49.6

Step-by-step explanation:

2. The dimensions of the flower bed and the sidewalks are;

The diameter of the flower bed = 20 meters

The width of the circular side walk, x = 3 meters

Therefore, the diameter of the outer edge of the side walk, D, is given as follows

D = d + 2·x (The width of the side walk is applied to both side of the circular diameter)

∴ D  = 20 + 2×3 = 26

The area of the side walk = The area of the sidewalk and the side walk = The area of the flower bed

∴ The area of the side walk, A = π·D²/4 - π·d²/4

∴ A = 3.14 × 26²/4 - 3.14 × 20²/4 = 216.66

By rounding to the nearest whole number, the area of the side walk, A ≈ 217 m²

3. Given that the area formed by the circular pattern, A = 379.94 ft.², we have;

Area of a circle = π·r²

∴ Where 'r' represents how far it can spread, we have;

π·r² = 379.94

r = √(379.94 ft.²/π) ≈ 10.997211 ft.

Therefore, the distance away from the sprinkler the water can spread, r ≈ 11 feet

4. The circumference of the rug = 24.8 meters

The circumference of a circle, C = 2·π·r

Where;

r = The radius of the circle

π = 3.1

∴ For the rug of radius 'r', C = 2·π·r = 24.8

r = 24.8/(2·π) = 12.4/π = 12.4/3.1 = 4

The area = π·r²

∴ The area of the rug = 3.1 × 4² = 49.6.

Answer:

i). 2    ii). 2

Step-by-step explanation:

i). 4p = 18 - 5(2)

4p = 18 - 10

4p = 8

p = 2

ii). 4(2) = 18 - 5q

8 = 18 - 5q

-10 = - 5q

q = 2

Answer:

The key features needed to determine if these two linear functions intersect would be their y-intercept and their slopes. We need this information because it would allow us to graph these two linear functions, and if we can graph them, we can see if these lines intersect. 

Step-by-step explanation:

Took the "quiz"

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Answer:

Step-by-step explanation:

Y intercept is at  (0,1) so b=1

slope is go 4 down 1 right so slope is -4

Equation is

-4x+1=y

Answer: tell me if i am wrong

yx = k, where k is a real constant.

When y = 30, x = 3.

=> k = (30)(3) = 90.

Hence when y = 6, x = k/y = (90)/(6) = 15.

Step-by-step explanation:

Answer: 30%

Step-by-step explanation:

Answer:

I got you homie! B-)

This person’s favorite meal is twice as likely to be hamburger and French fries as it is to be spaghetti.

Step-by-step explanation:

The other person answered with something unhelpful at all

Answer:

2/3

Step-by-step explanation:

When a line is parallel to another, it means that there are never going to be any solutions(they won't ever intersect each other.) To do so, the slope of the lines have to be the same. It doesn't matter what the y-intercept is.

So the slope of the second line is going to be the same as the first line: 2/3

Answer:

15/8

Step-by-step explanation:

the mixed answer is 1 7/8

but also the answer is 15/8

Answer:

gradient = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope (gradient) and c the y- intercept )

Given

8y + 4x = 5 ( subtract 4x from both sides )

8y = - 4x + 5 ( divide the terms by 8 )

y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{5}{8}[/tex] ← in slope- intercept form

with gradient = - [tex]\frac{1}{2}[/tex]

Given a line with gradient m then the gradient of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2

2 is the gradient of a line that is perpendicular to 8y+4x=5​

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane

The slope of line can also be called ad gradient of a line.

The standard form of line or slope intercept form of a line is given by

y=mx+c

where m is the slope of line and c is the y intercept.

The given equation of line is  8y+4x=5​

We need to convert the equation of line to Slope intercept form

8y=5-4x

Divide both sides by 8

y=5/8-4/8x

y=-1/2x+5/8

So m is -1/2.

Two lines are said to be perpendicular if m₁m₂ =-1

if m₁=-1/2

then we need to calculate m₂

-1/2m₂=-1

m₂=2

Hence gradient of a line that is perpendicular to 8y+4x=5​ is 2.

To learn more on slope of line click:

https://brainly.com/question/14511992

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Answer:

4.2 inches

Step-by-step explanation:

Basketball rim:

diameter = 18 inches

r = 18/2 = 9 inches

Ball:

Circumference of ball = 30 inches

2πr = 30 inches

[tex]2*3.14*r = 30\\\\r = \frac{30}{2*3.14}\\\\r = 4.8 inches[/tex]

Distance between the ball and the rim in a shot when the ball goes exactly in the center of the rim = radius of the rim - radius of the ball

   = 9 - 4.8

   = 4.2 inches

Answer:

Q7: 6a³

Q8: -6n^4

Q9: -7a

Step-by-step explanation:

see attachment below