Given OT with PQ = SR. What is the length of SR?

Answer: P(AB) = 3/8

Step-by-step explanation:

You simply multiply P(AuB) by P(B)

3/7 * 7/8 = 3/8

Answer: A

Step-by-step explanation:

Given that y varies inversely with x, that is,

Answer:

177.8cm

tell me if it's right :)

Step-by-step explanation:

Answer:  y = 4x-3

slope = 4, y intercept = -3

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

m = 4 is the slope

[tex](x_1,y_1) = (-2,-11)[/tex] is the point the line goes through

Using point slope form, we can say,

[tex]y - y_1 = m(x - x_1)\\\\y - (-11) = 4(x - (-2))\\\\y + 11 = 4(x + 2)\\\\y + 11 = 4x + 8\\\\y + 11-11 = 4x + 8-11\\\\y = 4x - 3\\\\[/tex]

The equation is in slope intercept form y = mx+b

m = 4 = slope

b = -3 = y intercept

------------------------

As an alternative, you can use y = mx+b to get the same answer. We'll plug in m = 4 and (x,y) = (-2,-11) to solve for b

y = mx+b

-11 = 4(-2)+b

-11 = -8+b

-11+8 = -8+b+8

-3 = b

b = -3 we get the same y intercept value as above

------------------------

To check the answer, plug x = -2 into the equation. We should get y = -11

y = 4x-3

y = 4(-2)-3

y = -8-3

y = -11 we get the proper y value. The answer is confirmed.

Answer:

y = 4x-3

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b

The slope is 4

y = 4x+b

Substitute the point into the equation

-11 = 4(-2)+b

-11 = -8+b

Add 8 to each side

-11+8 = b

-3 = b

y = 4x-3

Parallel lines are being constructed based on the markings in the following diagram.

When two lines never meet each other even after extending them on the either side are called parallel lines.

1. First we have to draw a straight line and then any point of it draw any angle.

2. After that, on the second line take a point. Copy the first angle on it.

3. Draw the line to complete the copied angle and there you have parallel lines.

Hence, the construction indicated in the diagram is of parallel lines.

Learn more about parallel lines here: https://brainly.com/question/16992946

#SPJ3

Answer: it’s b

Step-by-step explanation:

Answer:

Answer should be A

Step-by-step explanation:

-7/2 divided by 49/4

Change in temperature per hour would be found by dividing the change in temperature by the amount of time.

Rewrite the numbers as improper fractions and the answer would be d.

-49/4 / 7/2

Answer:

2 1/24

Step-by-step explanation:

you first need to convert them to the same least common denominator

the common denominator is 24

so 18/24 plus 15/24 plus 16/24

which is 49/24 which is 2 1/24

hope this helps

Answer:

32 divided by 7/8 is 36 and 4/7

Step-by-step explanation:

Think of 32 of a fraction, 32/1. What do you do when you divide fractions by fractions? You invert the fraction that you divide. So basically 32/1 times 8/7 which is 36 and 4/7.

Answer:

20 cookies

Step-by-step explanation:

Change from minutes and seconds to seconds

1 minute 30 seconds = 90 seconds

3 minutes 45 seconds = 3 *60 +45 = 180+45 = 225 seconds

Now we can use ratios to solve

8 cookies          x cookies

-------------   = -----------------

90 seconds         225 seconds

Using cross products

8 * 225 = 90x

Divide each side by 90

1800/90 = 90x/90

20 =x

Answer:

5 hours 24 minutes

Step-by-step explanation:

the speed is :279/4.5 = 62 miles per hour (mph)

if he continues on the same speed : 325/62=5  16/62 or 5 hours 24 minutes

hope it works

Answer:

x≈14.28

Step-by-step explanation:

cos32° = 12/x

so : x= 12/cos32° = 12/0.84 = 14.28

Answer:

A.

[tex]Point\ C = (2,-1)[/tex]

Step-by-step explanation:

Given

[tex]A = (2,-6)[/tex]

[tex]B = (10,2)[/tex]

[tex]m:n = 5:3[/tex]

Required

Determine the coordinates of C

Since, point D divides line AB in ratio, 5 : 3;

We start by calculating the coordinates of D;

This is done as follows;

[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Where

[tex](x_1,y_1) = (2,6)[/tex]

[tex](x_2,y_2) = (10,2)[/tex]

[tex]m:n = 5:3[/tex]

[tex]D(x,y) = (\frac{5 * 10 + 3 * 2}{5+3},\frac{5 * 2 + 3 * -6}{5+3})[/tex]

[tex]D(x,y) = (\frac{50 + 6}{8},\frac{10 - 18}{8})[/tex]

[tex]D(x,y) = (\frac{56}{8},\frac{-8}{8})[/tex]

[tex]D(x,y) = (7},-1)[/tex]

Since AC is vertical

Then, Point C has the same x coordinate as A

[tex]x-coordinate = 2[/tex]

Similarly;

Since CD is horizontal

Then, Point C has the same y coordinate as D

[tex]y-coordinate = -1[/tex]

Hence,

[tex]Point\ C = (2,-1)[/tex]

Answer:

Option A

Step-by-step explanation:

A. (2, -1)

Answer:

x=(27)^2+y^2

 =√729+y^2( root of 729+y^2)

 = 27+√y^2

Answer:

solution,

[tex] {y}^{2} = 3 \times 27 \\ {y}^{2} = 81 \\ y = \sqrt{81} \\ y = \sqrt{ {9}^{2} } \\ y = 9 \\ \\ {y}^{2} + {27}^{2} = {x}^{2} \\ or \: {9}^{2} + {27}^{2} = {x}^{2} \\ or \: 81 + 729 = {x}^{2} \\ or \: 810 = {x}^{2} \\ or \: x = \sqrt{810} \\x = 9 \sqrt{10} [/tex]

hope this helps...

Good luck on your assignment..

Answer:

B

Step-by-step explanation:

Since opposite angles in a parallelogram are congruent, ∠B = ∠D which means:

5y + 31 = 96

5y = 65

y = 13°

Additionally, opposite sides of a parallelogram are congruent, therefore AB = CD which means:

x² - 18 = 7x

x² - 7x - 18 = 0

(x - 9)(x + 2) = 0

x = 9° or -2°

Answer:

Step-by-step explanation:

SINCE IT IS A PARALLELOGRAM,

AB=CD

and B = D

therefore x= 9, y=13

hope it helps

Answer:

-5r + 5

Step-by-step explanation:

We simply simplify by adding like terms. Only thing we can combine are the constants -5 and 10, which we get 5. So then our answer is -5r + 5.

Answer:

5(1-r)

Simplified expression 5-5r

Step-by-step explanation:

Answer:

d) a1 = -8, an = an-1 + 2

Step-by-step explanation:

The formule is:

an = a1 + r*(n - 1)

So:

an = -8 + 2(n - 1)

a1 + r*(n - 1) = -8 + 2(n - 1)

⇒ a1 = - 8   ∧ r = 2

Finally:

r = an - an-1

an = 2 + an-1

The arithmetic sequence using a Recursive Formula is defined as

aₙ = a₍ₙ₋₁₎+2

A recurrence relation is an equation that uses a rule to generate the next term in the sequence from the previous term or terms.

Given that, Arithmetic Sequence defined by a Recursive Formula:

aₙ = -8 + 2(n - 1)......(i)

The explicit formula of an AP is

aₙ = a₁ + (n-1)d

Comparing the equations, we get,

a₁ = -8 and d = 2

Now, the recursive formula of an AP is

aₙ = a₍ₙ₋₁₎ +d

Put d = 2,

aₙ = a₍ₙ₋₁₎ +2

Hence, The arithmetic sequence using a Recursive Formula is defined as aₙ = a₍ₙ₋₁₎+2

For more references on the Recursive Formula, click;

https://brainly.com/question/8972906

#SPJ2

Answer:

I mean you dont got no graph

Step-by-step explanation:

butttttt.....

The graph wit a straight line that intersects the y-axis at -4 and goes up by 2 and to tha right by 1.

Answer:

Theres no graph

Step-by-step explanation:

Answer:

1.) Newton 3rd law

2.) Newton 1st law

3.) Newton 2nd law.

Step-by-step explanation:

1.)  I pull on the Earth because Earth pulls on me. This can be identified as Newton 3rd law of motion. The law state that, in every action, there must be equal and opposite reaction.

As the earth pulls on you, the reaction to that action which is equal and opposite is you pulling back on earth.

2.) The velocity of a falling object isn’t constant because Earth’s gravity exerts a force on it. This can be identified by Newton 1st law of motion which state that: an object will continue to be at rest or in a linear motion except an external force act on it.

The velocity of a falling object suppose to be constant if there is no external force. But it isn’t constant because Earth’s gravity exerts a force on it.

3.) If air resistance is ignored, the acceleration of a falling object is equal to the ratio of the force of gravity to mass. This can be identified by Newton 2nd law of motion which state that: The rate of change in momentum is proportional to the applied force. Or

F = ma

Where F = applied force

M = mass of the object

a = acceleration

If air resistance is ignored,

F = mg

where g = acceleration due to gravity.

Answer:

1. Newton 3rd law

2. Newton 1st law

3. Newton 2nd law.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

Answer:

-10a - b + 0.1c

Step-by-step explanation:

We can distribute the -0.1 to 100a, 10b and -c.

-10a - b + 0.1c

That's all!

Hope this helps

Answer: -10a - b + 0.1c

Step-by-step explanation:

simplify 0.1 * 10b * -c

10a - b - 0.1 * -c

regroup terms.

-10a - b - ( - 0.1 * c )

remove parentheses

-10a - b + 0.1 * c

Answer:

$3,033.56

Step-by-step explanation:

(see attached for reference)

The formula for compound interest is given by

A = P [ 1 + (r/n) ]^(nt)

Where,

A = final amount (we are asked to find this)

P = principal = given as $1500

r = annual interest rate = 9% = 0.09

n = 2 (for compounding semi-annually)

t = time, given as 8 years

Substituting the above into the equation:

A = P [ 1 + (r/n) ]^(nt)

A = 1500 [ 1 + (0.09/2) ]^[(2)(8)]

A = 1500 [ 1.045) ]^[16]

A = $3,033.56

Answer:

fred made 3 dollars

Step-by-step explanation:

47+3=50

Answer:

#'s 1 and 4

Step-by-step explanation:

1.) 14-9=5 and 14+(-9)=5

2.) 18-6=12 and -18+6=-12

3.) -7-22=-29 and 22-(-7)=29

4.) 3-30=-27 and  3+(-30)=-27

5.) 10-5=5 and 5-10=-5

Answer:

1.6%

Step-by-step explanation:

The cumulative distribution function (CDF) of a random variable X is denoted by F(x), and is defined as

F(x) = P(X ≤ x). where x is the largest possible value of X that is less than or equal to x

z = (x-μ)/σ,

where:

x is the raw score = 205

μ is the population mean, = 220 pounds

σ is the population standard deviation = 7 pounds

205 -220/7

z = -15/7

z = -2.1428571429

Using the normal cdf function on your graphing calculator,the cumulative distribution is

normalcdf( -2.1428571429, 100)

= 0.01606229

In percent form = 0.01606229 × 100

= 1.6%

Answer:

D  The IQR for town A is less than the IQR for town B

Step-by-step explanation:

A small IQR indicates that the points are closer together, while a larger IQR means that the points are scattered and that the plot is skewed in a certain direction. As you can see, town A's plot looks fairly balanced, while town B's plot is skewing to the left. Hope this helps :)

Answer:

Step-by-step explanation:

2x - 1 < 7

Add 1 to both sides

2x - 1 + 1 < 7+1

2x < 8

Divide both sides by 2

2x/2 < 8/2

x < 4

5x + 3 < 3

Subtract 3 form both sides

5x + 3 - 3 < 3-3

5x < 0

x < 0

x <4 & x < 0

So, solution ,

{x / x< 0 }

Answer:

A. {x l x < 0}

Step-by-step explanation:

2 x - 1 < 7 and 5x + 3 < 3.

Solve one inequality at a time

2 x - 1 < 7

Add 1 to each side

2 x - 1+1 < 7 +1

2x <8

Divide by 2

2x/2 <8/4

x <4

Now solve the other

5x + 3 < 3

Subtract 3

5x +3-3 < 3-3

5x<0

x <0

Recombine

x<4 and x<0

We go with the more restrictive  and merge the overlapping interval since we have an and

x<0

Answer:

0.75

Step-by-step explanation:

Out of the 8 tiles, 6 of them are not a blue A so the chance of not drawing a blue A is 6/8 = 0.75.

Answer: 3/4

Step-by-step explanation:

There are 8 choices, 2 of which are blue A's.  Thus, 6 out of the eight options are NOT blue A's.  Therefore, you have a 6/8, or 3/4 chance of not drawing a blue A.

Hope it helps <3

Answer:3 ⋅ ( 4 ⋅ 5 ) = 23 a ⋅ b = a ( b a ) + b = a = 2

Step-by-step explanation:

The common fraction for the given expression is 60/47.

A fraction represents part of a whole. When something is broken up into a number of parts, the fraction shows how many of those parts you have.

Given that an expression, 3*(4*5) such that, a*b= ab/a+b

Solving the expression as per the given formula,

4*5 = 4×5/(4+5) = 20/9

Now,

3*(4*5) can be written as, 3*20/9

Therefore,

3*20/9 = 3×20/9/(3+20/9)

= 20/3×9/47

= 60/47

Hence, the common fraction for the given expression is 60/47.

For more references on fractions, click;

https://brainly.com/question/10354322

#SPJ3