Find the coordinates of R if M(-4,5) is the midpoint of RS and S has coordinates of (0,10)

4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.

5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.

In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;

RU ║ ST

Slope of side RU = Slope of side ST

Slope of RU = (y₂ - y₁)/(x₂ - x₁)

Slope of RU = (1 + 3)/(5 + 3)

Slope of RU = 4/8

Slope of RU = 0.5.

Slope of RS = (y₂ - y₁)/(x₂ - x₁)

Slope of RS = (-9 + 3)/(-4 + 3)

Slope of RS = -6/-1

Slope of RS = 6.

Slope of ST = (y₂ - y₁)/(x₂ - x₁)

Slope of ST = (-2 - 1)/(10 - 5)

Slope of ST = -3/5

Slope of ST = -0.6.

Slope of UT = (y₂ - y₁)/(x₂ - x₁)

Slope of UT = (-2 + 9)/(10 + 4)

Slope of UT = 7/14

Slope of UT = 0.5.

Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.

Question 5.

In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance RT = √[(-2 + 3)² + (10 + 3)²]

Distance RT = √170 units.

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance US = √[(5 + 4)² + (1 + 9)²]

Distance US = √181 units.

Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.

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Answer:

4/3 or 1 1/3

Step-by-step explanation:

To find slope, we subtract the y-values (9 - 5), then divide the difference we find from that by the difference of the x-values (6 - 3). So, let's go ahead and do that now. First, what's 9 - 5? Well, the answer is 4. Next, we have to divide this value by 6 - 3, which is equivalent to 3. Then, we divide the two numbers - what is 4 ÷ 3? Well, we can represent this as 4/3, or 1 1/3. Hopefully that's helpful - if you have any questions on that, let me know! :)

Answer:

Slope is 4/3

Step-by-step explanation:

Slope or gradient can be found by using several formulas. For this situation, we can use rate of changes between two points also known as rise over run or changes in y over change so in x.

The formula of slope between two points can be expressed as several equations, expressions, etc such as:

\(\displaystyle \large{m=\frac{dy}{dx}=\frac{y_2-y_1}{x_2-x_1} =\frac{\Delta y}{\Delta x}\) where m is a variable representing the slope.

Since we are given two points, we are going to use the y2-y1 over x2-x1 formula.

Let (3,5) be (x1,y1,) and (6,9) be (x2,y2) thus the slope is \(\displaystyle \large{m=\frac{y_2-y_1}{x_2-x_1} =\frac{9-5}{6-3} =\frac{4}{3}\)

Therefore the slope of two points is 4/3.

__________________

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answer:

Cami is 35 and Enrique is 11

35 plus 11 = 46

The fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

To find the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9, we can set up a proportion.

Let's represent the unknown fraction as x. The ratio can be configured as follows:

x / (1/27) = (3/7) / (5/9)

To solve this proportion, we can cross-multiply:

(x * 5/9) = (3/7) * (1/27)

Simplifying the right side:

(x * 5/9) = 3/189

To eliminate the fraction on the left side, we can multiply both sides by the reciprocal of 5/9, which is 9/5:

(x * 5/9) * (9/5) = (3/189) * (9/5)

Simplifying further:

x = 27/35

Therefore, the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

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Answer:

16

Step-by-step explanation:

To find the median, we find the middle of the data set.

7, 9, 11, 14, 18, 20, 30, 35

There are 8 values

7, 9, 11,    14, 18,     20, 30, 35

The median is between the 4th and 5th numbers

We need to find the mean of the middle two numbers

(14+18)/2 =32/2= 16

Answer:

16

Step-by-step explanation:

             \(\sf (\frac{n+1}{2}\:)^ t^h \:data\)

       Here,

             n ⇒ number of terms

Let us find it now.

7, 9, 11, 14, 18, 20, 30, 35

\(\sf Median=\sf (\frac{n+1}{2}\:)^ t^h \:data\\\\\sf Median=\sf (\frac{8+1}{2}\:)^ t^h \:data\\\\\sf Median=\sf 4.5^ t^h \:data\)

In this case, add 4th and 5th data and divide it by 2.

\(\sf Median = \frac{14+18}{2}\\\\ \sf Median = \frac{32}{2}\\\\\sf Median = 16\)

The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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Answer:

$45

Step-by-step explanation:

60/4=15 15x3(75%)=45

your sweater is $45 with the discount

Answer:

The 3.907 is approximate.

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

Explanation:

x = number of hours that elapse

y = f(x) = number of tokens

If we use a graphing tool like a TI84 or GeoGebra, then the approximate solution to -3(2)^(x+1) + 90 = 0 is roughly x = 3.907

At around 3.907 hours is when the number of tokens is y = 0. Therefore, this is the approximate upper limit for the domain. The lower limit is x = 0.

The domain spans from x = 0 to roughly x = 3.907, and we shorten that down to 0 ≤ x ≤ 3.907

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

Plug in x = 0 to find y = 84. This is the largest value in the range.

The smallest value is y = 0.

The range spans from y = 0 to y = 84, so we get 0 ≤ y ≤ 84

Keep in mind y is the number of tokens. A fractional amount of tokens does not make sense, so we must have y be a whole number 1,2,3,...,83,84.

The x value can be fractional because 3.907 hours for instance is valid.

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

Extra info:

Answer:

33% or 1/3

Step-by-step explanation:

3 RED MARBELS/9 MARBLES=

3/9=

1/3=

33% chance of getting a red marble.

hope this helps, if not see me in the comments

HOPE THIS HELPS, BRAINLIEST PLZZZZ

Answer:

156 cm³

Step-by-step explanation:

The solid is a prism with a trapezoid base.

volume = (area of base) × height

V = (8 cm + 5 cm)(1/2)(4 cm) × 6 cm

V = 156 cm³

Answer:

3

Step-by-step explanation:

see image below:)

Answer:

\(\frac{22^7}{823543}\) B. 3

Step-by-step explanation:

Answer:

x² + y² = 74

Step-by-step explanation:

given

(x - y) = 8 ( square both sides )

(x - y)² = 8² ← expand left side using FOIL

x² - 2xy + y² = 64 ← substitute xy = 5

x² - 2(5) + y² = 64

x² - 10 + y² = 64 ( add 10 to both sides )

x² + y² = 74

The term "100 points" usually indicates a high level of achievement or success in a particular area.

The term "100 points" can refer to a number of different things depending on the context. For example, in sports, it could refer to a team scoring 100 points in a game.

In wine tasting, it could refer to a perfect score given to a wine by a critic or judge. In school, it could refer to receiving a perfect score on an exam or assignment worth 100 points.

It's important to note that while a perfect score of 100 points is often seen as the ultimate goal, it's not always necessary or even possible in some situations. In many cases, simply doing your best and striving for improvement is enough to be considered successful.

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The expression that can be used to find the number of liters in 15 quarts is 15 quarts/1 * 0.95 liters/1 quart

The volume is given as:

Volume = 15 quarts

In standard unit of conversion, we have:

1 quart = 0.95 liters

So, the equation becomes

Volume = 15 quarts/1 * 0.95 liters/1 quart

Hence, the expression that can be used to find the number of liters in 15 quarts is 15 quarts/1 * 0.95 liters/1 quart

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Answer:

-4 < x < 6

Step-by-step explanation:

Answer:

1/8 for a third grader to win

Step-by-step explanation:

15/120=1/8

Answer:

18

Step-by-step explanation:

8+4x=80

4x=72

x=18

Check

8+4x=80

8+4(18)=80

8+72=80

80=80

Answer:

0.5 yards

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

obtuse means having an angle greater than 90 and isosceles means that two of the side will be congruent and thats exactly what b is showing

Answer:

Answer is Option B.

That is the nth term of the sequence.

1/8 + 1/16 + 1/32....

You notice that all the numerators are the same. Which is (1).

so we have to both about getting the nth term of the denominator

Since all the denominator are divisible by 2... and Your intuition should tell you that they'd multiples of 2

So Lets go with 2^n

2^n

let n be all Integers

let take 1,2,3

2¹ = 2

2² = 4

2³ = 8

Now Observe that

If you multiply all these by 4... We will have all the values of the denominator

which are 4,16,32

So thats our nth term

1/4(2^n)

as n approaches positive Infinity.

The expression is \(\lim_{n \to \infty} \frac{1}{4(2^{n}) }\) , so option (B) is the correct expression.

"A series expansion is an expansion of a function into a series or infinite sum. It is a method for calculating a function that cannot be expressed by just elementary operators (addition, subtraction, multiplication, and division)".

For the given situation,

The series is given as \(\frac{1}{8} +\frac{1}{16}+ \frac{1}{32}+ \frac{1}{64}+ \frac{1}{128}+......\)

In the series, all the numerators are 1 and the denominators are even numbers so multiples of 2.

Now, we examine the denominators alone.

\(8,16,32,64,128\)

⇒ Multiples of 2. So we get \(2^{n}\) multiplied by some integers.

Put \(n=1,\)

⇒ \(2^{1}\) × \(4=8\)

Put \(n=2,\)

⇒ \(2^{2}\) × \(4=8\)

Put \(n=3,\)

⇒ \(2^{3}\) × \(4=32\)

Put \(n=4,\\\)

⇒ \(2^{4}\) × \(4=64\)

Put \(n=5\),

⇒ \(2^{5}\) × \(4=128\)

Thus \(2^{n}\) expression becomes \(2^{n}(4)\) .

Hence we can conclude that the expression is \(\lim_{n \to \infty} \frac{1}{4(2^{n}) }\) . So option (B) is the correct expression.

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The equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55

There are infinitely many numbers equivalent to 7/11

since 7/11 is a fraction that can be simplified in different ways.

We can multiply the numerator and denominator with the same number to get the equivalent fractions

7/11×2/2 = 14/22

7/11×3/3= 21/33

7/11×4/4 =28/44

7/11×5/5 =35/55

Hence, the equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55

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Answer:

D

Step-by-step explanation:

|-14| = Absolute value of -14

Absolute value is the distance from 0

Distance can not be negative, so the absolute value of -14 must be positive.

Using this information, we can cross out A and B.

If the number inside the absolute value is positive, the number without absolute value is equal to itself.

If the number inside the absolute value is negative, the number without absolute value is the opposite to itself.

Example.

|-2| = 2

The distance from 0 to -14 is 14.

The answer is D, 14.

Hope this helps :)

Answer:

(2,11)

Step-by-step explanation:

what i did was actually substitution

It's like ..what I do when I've forgotten how to solve a particular equation in math or even physics

But I'd recommend you find the real solution cuz there's a formula

Answer:

Dilation is done by the scale factor of Five-halves.

Step-by-step explanation:

Please refer to the image attached,

The graph clearly shows the triangles \(\triangle\)ABC and \(\triangle\)A'B'C'.

Let us calculate the sides of triangles first then we will be able to find scale factor of dilation.

Using the distance formula:

Distance between 2 points \(P (x_1,y_1) \text{ and } Q (x_2,y_2)\) is given by formula:

PQ = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Side AB is along x-axis, side AB =

\(\sqrt{(2-0)^2+(2-2)^2}\\\Rightarrow \sqrt{4}\\\Rightarrow 2\ units\)

Similarly side, BC = 2 units

Now, in \(\triangle\)A'B'C', A'B' can be calculated by distance formula:

\(\sqrt{(1+4)^2+(-1- (-1))^2}\\\Rightarrow \sqrt{25}\\\Rightarrow 5\ units\)

B'C' = 5 units

The ratio of sides:

AB : A'B' = 2:5

\(\Rightarrow \dfrac{AB}{A'B'} = \dfrac{2}{5}\\\Rightarrow A'B' = \dfrac{5}{2} AB\)

So, scaling factor is \(\dfrac{5}{2}\) or 2.5.

OR

Scaling factor is Five-halves.

Answer:

The answer is C on Edge.

Step-by-step explanation:

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

The correct answer is Option D

Explanation:

For a mapping to be a function, each input must have only one output.

But in the case at hand, we can see inputs 6 and 12, both outputting 3.

This implies that the mapping is not a function.

So, the correct answer is option D.

Answer: you need to add

Step-by-step explanation: I would ask your teacher to help you understand the lesson.  

Answer:

2 days

Step-by-step explanation:

You would have to change 7/4 to have the same common denominator as 7/8, which is 8. 7/4 is equal to 14/8, or 1 6/8. Then you would subtract 1 6/8 by 7/8. What would be left would be 7/8. And of course, 7/8 minus 7/8 would be 0.

Hope this help you

Answer:

it's C

Step-by-step explanation:

-16 means where the line crosses y axis

Answer:

#1 is the only relation that is a function.

Step-by-step explanation:

The definition of a function is that every x value (within the interval; for continuous functions) has one y value.  This means that one x value CANNOT have two y values and still be a function.  You can use the vertical line test, do this by imagining a vertical line going up and down the graph.  If that line touches two or more points, then that means there are more than 1 y value for at least one of the x values.  That is a quick way to determine if it's a function.  Only #1 passes this test.