which expression can be used to find the length of the side of the triangle represented by the vertices (5,5) and (7,-3) on the graph?

Given the table:

Х f(x)

-6 34

-5 3

-4 -10

-3 -11

-2. -6

-1 -1

0 -2

1 -15

Let's find the increasing intervals.

A function is increasing over the interval when the values of f(x) increases as the values of x increases.

At the interval:

From x = -3 to x = -1, the values of f(x) increases from -11 to -1.

Therefore, the interval of x-values over which the function is increasing is:

(-3, -1)

ANSWER:

(-3, -1)

WE can find the sides if the triangle by apply the Sine rule :

where, a,b & c are the sides of triangle

For eg :

Consider an triangle with one side AB = 5

and angles A = 60, angle B = 45 and angle C= 75

So, substitute the value in the expression of Sine

The sides : AB = 5, AC = 3.66 & BC = 4.4

the answer are:

1. A(X +Y),,B (X+Y) OR d(A,B)

2. If two segments having the same length are congruent segments.This is written as for example: AB is congruent with CD.

AB=CD

3. AC=B, because B is inside points A and C it means that it was the additional point to add and arrive at C.

We have to take the points A, B, C, and D from the original square and move all of them 10 units up as shown in the following diagram:

After translating the points we get the image points A', B', C' and D'.

Finally, connecting the image points we get the image of the square:

The third option is correct. That is, the figure could be a rhombus because the 2 lines of symmetry bisect the angles.

What is rhombus?

A rhombus is a quadrilateral that is an equilateral parallelogram and has all of its opposite pairs of sides parallel. Sometimes the word "rhombus" is substituted with "rhomb," and a rhombus is also referred to as a "diamond."

Given: A quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors.

Since the two lines of symmetry in a quadrilateral are angle bisectors, the figure may be a rhombus if the quadrilateral has exactly two lines of symmetry. Figures with four sides and angles are called quadrilaterals. Rectangle is a type of quadrilateral.

Therefore, If a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, then the figure could be a rhombus because the 2 lines of symmetry bisect the angles.

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Answer:

third option

Step-by-step explanation:

The radius of the bike wheel is given as 13 inches. One rotation would be equal to the entire circumference of the bike wheel. Hence;

m = 6

The given equation is:

Cross multiply:

100m = 60 x 10

100m = 600

Divide both sides by 100

The missing numerator is 6

The given ellipse is

Where A(15, f(15)), B(20, f(20)).

First, we find f(15) and f(20) by evaluating the given expression

We use the same process to find f(20).

So, the points are A(15, 19.2) and B(20, 15). To find the distance between these points, we have to use the distance formula

The slope of a line

It is a parameter that can help us to know the behavior of a line, specifically if it's increasing, decreasing

Answer:

322.5 square centimeters

Explanation:

To convert from square inches to square centimeters, we need to multiply the number by the conversion factor 6.45, so 50 in² are equivalent to:

50 in² x 6.45 = 322.5 cm²

Therefore, the answer is 322.5 square centimeters.

Solution:

The reciprocal identities of trigonometry include the identities below

The quotient identity include the identities below

The sum formula of trigonometric identity include

The double-angle formula is given below as

Hence,

The final answer is QUOTIENT IDENTITY

The Solution:

Representing the given in a diagram, we have

By similarity theorem, we have that:

So,

Substituting these values in the formula above, we get

Solving for x:

We shall cross multiply,

Dividing both sides by o.21, we get

The height of the tower is

Therefore, the correct answer is 138 meters.

We know that

• She earned an 88% on her first test.

• She earned an 80% on her second test.

To know her average score, we just have to sum these percentages and divide them by 2, since they are just 2.

R(1, 8) >> R'(10, -10) ........(x+9, y-18)

V(-2, -10) >> V'(5, -3).......(x+7, x+7)

U(3, -9) >> U'(10, -16).......(x+7, y-7)

T(-4, 7) >> T'(-11, 14)..........(x -7, y+7)

When a pont A(x, y) is translated by a in the x-axis, and b in the y-axis, the new point becomes A'(x+a, y+b)

For the expression R(1, 8) >> R'(10, -10)

The coordinates of R' ae formed using the expression (x+9, y-18)

For the expression V(-2, -10) >> V'(5, -3)

The coordinates of V' are formed by using the expression (x+7, x+7)

For the expression U(3, -9) >> U'(10, -16)

The coordinates U' are formed by using the expression (x+7, y-7)

For the expression T(-4, 7) >> T'(-11, 14)

The coordinates T' are formed by using the expression (x -7, y+7)

To obtain the number of locker codes available, the following steps are necessary:

Step 1: Create a diagram to represent the slot for each of the digits, as below;

Step 2: State the number ways that each digit can be used to fill any of the spots, as below:

Given that there are the numbers 0,1,2,3,4,5,6,7,8,9 - a total of 10 numbers,

- The first slot can be filled with any of the digits above, and thus can be filled in 10 ways

- The second slot can be filled with any of the remaining 9 numbers after one of them has already been used to fill the first slot. Thus, there are 9 ways the second slot can be filled.

- The same line of reasoning tells us that the third slot will be filled in 8 ways

- Lastly, the fourth slot will be filled in 7 ways

The diagram below gives a better illustration:

Step 3: Multiply the numbers of ways to find the total number of locker codes that are available, as follows:

Therefore, there are a total of 5040 available locker codes at Lincoln High School

Correct answer = Option C

There should be as much as many dots above the line and below the line . The line of best fits represent the trend of the data whether positive or negative correlation

The graphs that have a line that is best for the data are

Graph 1

Graph 4

The total commission salesperson earned is $394.5.

What is commission?

Commissions are a type of variable-pay compensation for provided services or sold goods. Commissions are a typical method of encouraging and rewarding salespeople. It is also possible to create commissions to promote particular sales behaviours. For instance, while offering significant reductions, commissions might be decreased.

Given:  A jewelry salesperson earns 5 1/5 % commission on all sales. Today he sold $7,310 in jewelry.

We have to find the commission earned on $7310.

Here, [tex]5\frac{1}{5} = \frac{(5)(5)+2}{5} =\frac{27}{5}[/tex]

5 1/5% = 27/5%

Today he sold $7310 in Jwellary.

So, the commission is,

[tex]\frac{(7310)(27)}{(5)(100)} = 394.5[/tex]

Hence, the total commission of $7310 is $394.5.

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The slope of the line that is perpendicular to the line y = - 1x +5 is -1.

The ratio of how much y grows as x grows by a certain amount is known as a line's slope. The slope of a line indicates how steep it is, or how much y rises as x rises. Anywhere along the line, the slope remains constant (the same).

Given:

The equation of the line, y = -x + 5

The slope of the line can be calculated by the intercept form,

so m = -1, Here, m is the slope.

The slope of the perpendicular line will be the opposite

So, M = -1

Therefore, the slope of the line that is perpendicular to the line y = - 1x +5 is -1.

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The horizontal arrows denote that segments RS and VT are parallel. This means that angleR and angleV are congruent. Similarly, angleS and angleT are congruent. They are denoted in blue and red color, respectively:

Therefore,

by the AA-theorem (angle-angle theorem). That is because:

Now, lets find the missing measure x. Since the above triangles are similar, we have

which gives

By multiplying both side by 3, we get

and by multiplying both side by 4, we have

then, x is given as

therefore, we obtain

then, the missing side x measures 1/3.

Now, lets find y. In this case, we have

then, it yields

by multipluying both sides by 3, we have

Therefore, the missing side y measures 1/2.

If the shirt costs 25 and the discount is 18%, then the amount discounted is shown as follows;

The discount is $4.5.

If 40% of students passed out of 120, then the number that passed is shown below;

The number of students that passed is 48

Answer: 7. $20.50 & 8. 48 students

Step-by-step explanation:

give the following from the question:

the organizer will select from 3 workshop about anthropology and 10 workshops about psychology.

we were asked in how many ways she can select 7 workshops if 2 or fewer must be anthropology

so,

If 2 or fewer must be anthropology,

Then tha means it is either she selects 2 from anthropology and 5 from psychology or 1 from anthropology and 6 from psycology.

that is:

= 3C2 x 10C5 or 3C1 x 10C6

= 3!/(3-2)!2! x 10!/(10-5)!5! + 3!/(3-1)!1! x 10!/(10-6)!6!

= 3x2!/2! x 10x9x8x7x6x5!/5!5! + 3x2!/2! x 10x9x8x7x6!/4!6!

= 3 x 252 + 3 x 210

= 756 + 630

= 1,386 ways

The ways she can select 7 workshops if 2 or fewer must be about anthroplogy is 1,386 ways

As the given vertices are at a distance of 12 units:

As the major axis is vertical you have the next generall equation:

To find the center (h,k) of the ellipse use the coordinates of that vertices as follow:

Now use the distance between those vertices to find a:

b is the distance of minor axis divided into 2:

Then, you get the next equation for the given ellipse:

In this case, we have a proportional relationship, since the cost varies directly with the days, this means that as x increases, y increases, and as x decreases, y decreases. A proportional relationship has the form:

y=kx

Where k is the constant of proportionality.

The ratio between them (x and y) is always the same, in this case, the ratio or constant of proportionality is 40, since each day the rent cost increases $40, then:

Constant of proportionality = 40 , replacing 40 for k into the above equation, we get:

equation: y = 40x

We can use this equation to find some pair of values (x,y) to fill the table, like this:

For x equals 2:

y= 40*2 = 80

For x equals 3:

y= 40*3 = 120

For x equals 4:

y=40*4 = 160

For x equals 5:

y=40*5=200

Then, we can fill the table as follows:

We can also use these data to graph the relationship, by taking the point (5,200) and joining it to the origin, we get:

Given expression:

Expanding:

Simplifying the expression:

Answer:

Male students. 14

Female students: 16

Total students: 30

Since there are 2 male juniors, the probability of being junior and male is: 6.67%

If we round to the nearest whole porcent: 7%

From the question, we have a linear function for the cost of each pumpkin, and this function is:

As we can see, the cost for one pumpkin is:

Now, to find the cost for 25 pumpkins, we need to substitute the value of x = 25 into the function, since this is a function that gives us the cost as a function of the number of pumpkins:

As we can see, we multiply 2.75 times 25, and we got 68.75.

Therefore, in summary, it will cost $68.75 for 25 pumpkins.

how does equation look in session history???

The equation

y = x - 2

is the equation of a line in the slope-intercept form with a slope of 1 and a y-intercept at (0, -2).

You can graph it by locating two points on the line. One point is (0, -2). The other one can be found with the slope. The slope of 1 means that the next point is 1 unit to the left and 1 unit up, respect the previous point. In this case, the next point is (1, -1). After you locate these two points, draw the line that connects them, as follows

the rate of change in the temperature per hour is the quotient of the change of temperature divided by the change in hours. Since we have

1:00 AM =1 hr - 87 degrees

7:00 PM=19 hrs - 45 degrees,

then the rate is

Then, the temperature changed -2.33 degrees per hour.

SOLUTIONS

To determine the equation of the power function? Why or why not? If you can, find the equation of the power

It is easy to get the graph of the exponential function since x - value = 4 and y - value = 2.

An exponential function is defined by the formula f(x) = x^a, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

The general equation of an exponential function is