list and graph four ordered pairs that are vertices of a rectangle with a perimeter of 16 units

Answer:

Translation

Step-by-step explanation:

Answer:

r = 9 units

Step-by-step explanation:

[tex] In\: \odot O, [/tex] QP is tangent at point P and OP is radius.

[tex] \therefore OP\perp QP[/tex]

[tex] \therefore m\angle OPQ = 90\degree [/tex]

So, [tex] \triangle OPQ[/tex] is a right angled triangle. Hence, OQ will be its HYPOTENUSE such that OQ = r + 32

Now, by Pythagoras theorem:

[tex] OQ^2 = OP^2 + PQ^2 [/tex]

[tex] \therefore (r + 32)^2 = r^2 + (40)^2 [/tex]

[tex] \therefore\cancel {r^2} + 64r + 1024 = \cancel {r^2} + 1600 [/tex]

[tex] \therefore 64r = 1600-1024 [/tex]

[tex] \therefore 64r = 576 [/tex]

[tex] \therefore r = \frac{576}{64}[/tex]

[tex] \therefore r = 9[/tex]

Answer:

-7/8 or 1/2 in simplest form

Step-by-step explanation:

Answer:

es la tercera amiga yo pienso

The vertex of the function f(x) = x² + 12x is,

⇒ Vertex = (- 6, - 36)

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ f (x) = x² + 12x

Now, We can change the function into the form,

f (x) = (x - h)² + k

Where, (h, k) is vertex.

Here, The function is,

⇒ f (x) = x² + 12x

⇒ f (x) = x² + 12x + 36 - 36

⇒ f (x) = (x + 6)² - 36

⇒ f (x) = (x - (- 6))² + (- 36)

Hence, By comparing,

Vertex = (h, k) = (- 6, - 36)

Thus, The vertex of the function f(x) = x² + 12x is,

⇒ Vertex = (- 6, - 36)

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Answer:

D

Step-by-step explanation:

3*3 =9

9*9*9*9= 6561

6561*6561*6561*6561=282429536481

Therefore is equal to 81^6 because 81*81*81*81*81*81= 282429536481

Answer:

[tex]\sqrt{85}[/tex] or 9.21954

Step-by-step explanation:

Use the distance formula to determine the distance between the two points.

[tex]d = \sqrt{(x_{2} -x_{1})^{2} + (y_{2} - x_{1})^{2} }[/tex]

d = distance

[tex](x_{1}, y_{1})[/tex] = coordinates of the first point

[tex](x_{2}, y_{2})[/tex] = coordinates of the second point

Answer:

The answer is -21

Step-by-step explanation:

0.5(5 - 7x) = 8 - (4x + 16)

2.5 - 3.5x = 8 - 4x - 16

3.5x - 2.5 = 4x - 8 + 16

3.5x - 4x = 2.5 - 8 + 16

-0.5x = 10.5

x = 10.5/(-0.5)

x = -21

Thus, The answer is -21

-TheUnknownScientist

Step-by-step explanation:

[tex]\huge\mathcal\pink{here's your solution} \\ \\ 0.5(5 - 7x) = 8 - (4x + 16) \\ \\ 2.5 - 3.5x = 8 - 4x - 16 \\ \\ - 3.5x + 4x = - 8 - 2.5 \\ \\ 0.5x = 10.5 \\ \\ x = 10.5 \div 0.5 \\ \\ x = 21 \\ \\ \huge\mathfrak\purple{hope \: it \: helps..}[/tex]

Answer:

v = 18π

Step-by-step explanation:

v = πr²h

plug in the givens

v = π(3²)2

v = 18π   exact answer

V = 18 * 3.14 = 56.52    decimal approximation

Answer:

b

Step-by-step explanation:

it says range and that varies and is different so it hold the most variability I think

Answer:

w

Step-by-step explanation:

m

Answer:

population=12780

Step-by-step explanation:

7% of 9000 is 630

630 times 6 is 3780

9000 plus 3780 is 12780

Answer:

mode is the highest occuring number

7342 none of the numbers appeared twice

: 7 is the highest occuring number

Answer:

61 degrees

Step-by-step explanation:

TRUST ME I JUST DID THE IMAGINE MATH LESSON. !!!!

The measure of ∠XYZ in right triangle is 90 degrees.

It has two equal sides, and those two equal sides make 90 degrees (right angle) internally. An isosceles triangle has two of its side length of same measure.

Let the considered isosceles triangle has two same lengthed sides of 'a' units.

Let its third side be of 'b' units.

Then, if we drop a perpendicular from the vertex joining similar sides to the opposite side, the opposite side is cut in half, each of length b/2 units.

We are given that;

A right triangle △WXY and △WZY

Now,

Let's label ∠WZY as α, so we have:

∠WZY = α

∠WYZ = α

Since the sum of the angles in a triangle is 180 degrees, we can find ∠WYX of △WXY:

∠WYX = 90 - ∠WXY

Now, we can use the fact that ∠WXY and ∠XYZ are complementary angles of a right triangle, so:

∠WXY + ∠XYZ = 90

Substituting ∠WYX for ∠WXY, we get:

∠WYX + ∠XYZ = 90

90 - ∠WXY + ∠XYZ = 90

∠XYZ = ∠WXY

Therefore, we can conclude that ∠XYZ is equal to ∠WYX, which is the angle opposite to the hypotenuse in a right triangle. So, we have:

∠XYZ = 90 degrees

Hence, in the given right triangle answer will be 90 degrees.

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Answer:

DF≅YZ

angle R≅angle N

XW≅TH

angle M ≅angle C

new coordinate=(2,1)

new coordinate=(0,2)

Reflection:

new coordinate=(5,-6)

new coordinate=(1,4)

Last one is already done

Step-by-step explanation:

Explanation:

This may seem like a trick question, but it's not. Your teacher simply wants to know how many times you got blue out of the number of times total. The numerator is the number of blue. The denominator is the number of total tries.  The fraction 11/50 cannot be reduced because 11 and 50 share no common factors other than 1.

Notes:

Answer:

64 degrees is the answer

Answer:

who friendhjcicivigigivigigogogig'g

Answer:

The answer is 36.9

Step-by-step explanation:

Answer:

C. The scale factor is less than one.

Step-by-step explanation:

By definition, similar triangles have equal angles and proportional corresponding side lengths. Thus, A, B, and D are all mutually exclusive, leaving C the only possible answer. Upon further inspection, the scale factor is indeed greater than one (each side length is scaled by a factor of two, which is large than one)

Answer:

3/4

Step-by-step explanation:

To find the probability of landing on green, we have to divide the number of sections that are green by the total number of sections

we have this as:

6/8 = 3/4

Answer:

Percentage of water consumed = 20 %

Equivalent amount of water to 100 ounces = 20 ounces

Step-by-step explanation:

The total amount of water consumed by her daily = 70 ounces

The total amount of water consumed by her before ride = 14 ounces

Percentage of water consumed = total amount of water consumed by her before ride /total amount of water consumed by her daily * 100

Substituting the given values we get

[tex]\frac{14}{70} * 100\\\frac{100}{5} \\20[/tex]%

Equivalent amount of water to 100 ounces = 20 ounces

Answer:

12B

Step-by-step explanation:

B = number of boxes

12 donuts per box, multiply 12 by number of boxes to  find total donuts.

Answer:

The slope is 1 I believe.

Answer:

The Slope is 1

Step-by-step explanation:

Slope (m) =  

ΔY

ΔX

=  

1

1

= 1

θ =  

arctan( ΔY )

ΔX

= 45° =  

1

4

π

ΔX = 7 – -3 = 10

ΔY = 6 – -4 = 10

Distance (d) = √ΔX2 + ΔY2 = √200 = 14.142135623731

Equation of the line:

y = x – 1

When x=0, y = -1

When y=0, x = 1

Answer: 72

Step-by-step explanation:

30+48=78

√78^2-30^2=

√5184=

72

If AO = 30, BC = 48 then, AB = 72.

"Tangent to a circle is the line that touches the circle at only one point."

"A tangent to a circle is always perpendicular to the radius of a circle."

For given question,

AB is tangent to circle.

Also, AO = 30, BC = 48

From figure, we can observe that,

AO = CO                            .......................(radius of circle)

⇒OC = 48

Also,

OB = OC + BC

⇒ OB = 30 + 48

⇒ OB = 78

We know, a tangent to a circle is always perpendicular to the radius of a circle.

⇒ AB ⊥ AO

This means, ΔAOB is right triangle.

Using Pythagoras theorem to right triangle AOB,

⇒ [tex](OB)^{2} = (AO)^{2} + (AB)^{2}[/tex]

⇒ [tex](AB)^2 = (OB)^{2} - (AO)^{2}[/tex]

⇒ [tex](AB)^2=(78)^2-(30)^2[/tex]

⇒ [tex](AB)^2=5184[/tex]

⇒ [tex]AB=\sqrt{5184}[/tex]

⇒ [tex]\bold{AB=72}[/tex]

Therefore, option (D) is the correct answer.

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Answer:

14 miles

Step-by-step explanation:

because this is just asking for distance and not displacement, we will just add up the raw numbers and call it a day.

Total distance = 8 + 6 = 14 miles