Draw a triangle with an area of 21 square units in a coordinate plane where the vertices are not all in the same quadrant?
Answers
The graph of the triangle is on the image at the end.
How to draw the triangle?Remember that the area of a triangle of base B and height H is:
A = B*H/2.
Here we want to have an area of 21, then we can use:
B = 6
H = 7
Then:
A = 6*7/2
A = 3*7 = 21
So we must have a base of 6 units and a height of 7 units, then the vertices that we can have are:
(-3, 0), (3, 0), (-3, 7)
So we will have a right triangle such that the vertices are on the first and second quadrant, the graph of the vertices is below.
Learn more about triangles at:
https://brainly.com/question/2217700
#SPJ1
Related Questions
Need help solving this problem.
Answers
Option A is correct, 162 is the greatest number of caps she can buy.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
Let x be the number of caps.
We have been given that cost of one cap is $6, so cost of x caps will be equal to 6x.
We are also told that the company charges an amount of $25 for shipping, so total cost of buying x caps will be equal to the cost of x caps plus shipping charges (6x+25).
Since Laura has a budget of $1,000, so cost of x caps will be less than or equal to 1,000.
We can represent this information in an equation as:
6x+25≤1000
Let us solve for x
Subtract 25 from both sides
6x≤1000-25
6x≤975
Divide both sides by 6
x≤162.5
Hence, Option A is correct, 162 is the greatest number of caps she can buy.
To learn more on Inequalities click:
https://brainly.com/question/28823603
#SPJ1
Select the correct answer. What is the standard form of this function? f(x) = (x − 2)2 + 6
Answers
The equation f(x) = (x - 2)² + 6 in the standard form will be f(x) = x² - 4x + 10.
What is function in math ?
An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable).
Mathematics is rife with functions, and the sciences depend on them for constructing physical relationships.
The function is given below.
f(x) = (x - 2)² + 6
Convert the equation into a standard form. Then we have
f(x) = (x - 2)² + 6
f(x) = x² - 4x + 4 + 6
f(x) = x² - 4x + 10
The equation f(x) = (x - 2)² + 6 in the standard form will be f(x) = x² - 4x + 10.
Learn more about function
brainly.com/question/12431044
#SPJ1
Suppose the population of a small town is 567 she has a lot of the population decreases the rate of 1.5%. Every year will be the population of a town thousand 20 Round your answer to the nearest whole number.
Answers
Answer:
Assuming "she" in the question is a typo and it should be "if", here's the solution:
If the population of a small town is 567, and it decreases at a rate of 1.5% per year, we can find the population after 20 years using the formula:
P = 567 * (1 - 0.015)^20
where P is the population after 20 years.
Simplifying this expression, we get:
P = 567 * 0.742 = 420.414
Rounding this to the nearest whole number, we get:
P ≈ 420
Therefore, after 20 years, the population of the small town would be approximately 420.
The equation y equals 4 times 3 to the power of t shows the number of infected people from an outbreak of the measles. The variable y represents the number of infected people, and t represents time in weeks. In how many weeks will the number of infected people reach 600
Answers
Answer: 8.2 weeks.
Step-by-step explanation: If y = 4*3^t, then 600 = 4*3^t. Therefore, t = log3 (600/4), which is approximately 8.2 weeks.
HELPPPP MEEEE
I NEED TO TURN IN THIS LATE MATH HOMEWORK
Answers
Answer:
I think is D
Step-by-step explanation:
because
R:622 and Y:410
I need help please!!! It for geometry
Answers
Answer:
Below
Step-by-step explanation:
The diagonals WY and XZ are equal for a rectangle
14x+10 = 11x+ 22
3x = 12
x = 4
then use this value to calculate the length
WY = 14 x + 10
= 14 (4) + 10 = 66 units
Use the box-and-whisker plot.
A box and whisker plot. The whisker ranges from 5 to 50. The box ranges from 25 to 40 with the vertical bar inside the box at 35.
About what percent of the data fall between 5 and 35?
Enter your answer in the blank.
Answers
We know that 50% of the data falls between the minimum value and the median (i.e., between 5 and 35). So the answer is: 50%.
Describe Median?The median is a useful measure of central tendency in datasets that are skewed or have outliers, as it is less sensitive to extreme values than the mean. It is also useful in datasets with non-numeric values, such as rankings or survey responses. In addition to the median, other measures of central tendency include the mean and mode. Each measure has its own strengths and weaknesses, and the appropriate measure to use depends on the nature of the dataset and the research question being asked.
To answer this question, we need to determine the position of the lower whisker and the vertical bar relative to the range of the data.
The lower whisker extends to 5, which is the minimum value in the dataset. The vertical bar inside the box is located at 35, which represents the median of the dataset.
Therefore, we know that 50% of the data falls between the minimum value and the median (i.e., between 5 and 35).
So the answer is: 50%.
To know more about dataset visit:
https://brainly.com/question/29016574
#SPJ1
A square with side s has area s to the 2nd power. Brandon uses a square mat when he practices karate. The mat is 11 feet on each side.
Answers
Answer:
Step-by-step explanation:
i assume you mean that the mat is 11 feet on each side so
area = s*s(or S^2)
so 11*11=121feet sq
Choose the correct statement.
O-2<-3
05>6
4>-4
O 0<-6
Answers
Step-by-step explanation:
here,
[tex] 4 > - 4[/tex]so the correct answer is this
graph y ≤ 2 on a number line
graph x < -3 on a number line
Answers
Is 3/4 greater then 2/10
Answers
Answer:yes
Step-by-step explanation:
HELPPP PLS thank you pls
Answers
The piecewise function is defined as follows:
y = x² + 4, x < 2.y = -x + 4, x ≥ 2.How to define the piecewise function?A piece-wise function is a function that has different definitions, based on values of the input x of the function.
For this problem, the intervals are given as follows:
x < 2. -> left of x = 2.x ≥ 2. -> right of x = 2.For the first interval, the interval is open due to the open circle, and the quadratic function is a translation up 4 units of y = x², hence:
y = x² + 4, x < 2.
For the second interval, which is the closed interval, we have a decaying line with slope of -1 and x-intercept of 4, hence:
y = -x + 4, x ≥ 2.
More can be learned about piecewise functions at brainly.com/question/19358926
#SPJ1
Robert is tiling the bathroom floor. Each
square-shaped tile has an area of 120.5
square inches. Which measurement is
closest to the side length of a square tile
in inches?
A. 9 in.
B.11 in.
c. 13 in.
D. 15 in.
Answers
The measurement that, in inches, comes closest toward the length equal of a square tile is: 11 in.
Define the properties of the square?A square is a shape that we frequently encounter in our daily lives. Illustrations of square shapes that are frequently used include chess pieces, clock hands, picture frames, pizza boxes, coasters, computer keys, etc.
The square's four sides are equal to one another.A square's diagonals are parallel to one another.The square is split into 2 congruent triangles by each diagonal.Each diagonal in a square is the same length.In the bathroom, Robert is paving the floor.
The area of each square-shaped tile is 120.5 square inches.
Area = side²
side = √Area
side = √120.5
side = 10.97 in
side = 11 in (approx)
The measurement that, in inches, comes closest toward the length equal of a square tile is: 11 in.
Know more about properties of the square
https://brainly.com/question/16533609
#SPJ9
After 3x - y = 7 is put in slope-intercept form, the slope, and intercept are:
m = 3, b = -7
m = -3, b = 7
m = -3, b = -7
m = 3, b = 7
Answers
By converting the equation 3x - y = 7 in the slope-intercept form, the slope, and the intercept will be (A) m = 3, b = -7.
What is the slope-intercept form?When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b).
The y value of the y-intercept point is denoted by the symbol b in the formula.
A line's slope and y-intercept are expressed in the following formula: y=mx+b.
The y-intercept, which is usually represented in coordinate form as (0,b), is the point where the line crosses the y-axis.
So, we have the equation:
3x - y = 7
After reading the above-given description about the slope-intercept form, we can tell that in the given equation:
m = 3, b = -7
Therefore, by converting the equation 3x - y = 7 in the slope-intercept form, the slope and the intercept will be (A) m = 3, b = -7.
Know more about the slope-intercept form here:
https://brainly.com/question/22057368
#SPJ1
Complete question:
After 3x - y = 7 is put in slope-intercept form, the slope, and intercept are:
a m = 3, b = -7
b m = -3, b = 7
c m = -3, b = -7
d m = 3, b = 7
A trapezoidal flower garden is shown below. what is the area of the garden
Answers
The area of the trapezoidal flower garden from the dimensions is 123.5 square meters
What is the area of the gardenThe trapezoidal flower garden represents the given parameter, where we have the following readings
Parallel sides = 9 m and 10 m
Height = 13 m
Using the above dimensions, we have the area to be
Area = 1/2 * Sum of parallel sides * Height
When the dimensions are substituted, we have
Area = 1/2 * (9 + 10) * 13
Evaluate the products
Area = 123.5
HEnce, the area is 123.5 square meters
Read more about areas at
https://brainly.com/question/22972014
#SPJ1
For the function
f
(
x
)
=
5
x
2
+
3
x
, evaluate and simplify.
f
(
x
+
h
)
-
f
(
x
)
h
=
Answers
In respοnse tο the query, we can state that Therefοre, the simplified equatiοn expressiοn fοr f(x+h) - f(x)/h is: 10x + 5h + 3
What is equatiοn?In a math equatiοn, twο assertiοns are cοnnected by the equals sign (=), which denοtes equivalence. A mathematical assertiοn used in algebraic equatiοns establishes the equivalence οf twο mathematical statements. Fοr instance, in the equatiοn 3x + 5 = 14, the equal sign creates a space between the values 3x + 5 and 14. Tο cοmprehend the relatiοnship between the twο sentences written οn οppοsing sides οf a letter, utilise a mathematical fοrmula. The lοgο and the specific prοgramme typically cοrrespοnd. An illustratiοn wοuld be 2x - 4 = 2.
functiοn f(x) intο the fοrmula fοr f(x+h) - f(x)/h, and then simplify the resulting expressiοn algebraically.
f (x + h) — f (x)
= [5(x + h)² + 3(x + 10] — [5x² + 3x]
= [5(x² + 2xh + h²) + 3x + 314 — [5x² + ax]
= [5x² + 10xh + 5k² + 3x + 3h] — [5x² + 3x]
= 10xh + 5h² + 3h f(x+h) - 1(x) h
= 10x + 5k + 3
Therefοre, the simplified expressiοn fοr f(x+h) - f(x)/h is:
10x + 5h + 3
To know more about equation visit:
brainly.com/question/649785
#SPJ1
4. Which transformation below would map the polygon A to the polygon B?
Polygon A has been translated to the right and reflected vertically
Polygon A has been rotated 90 degrees counterclockwise
Polygon A has been reflected horizontally and reflected vertically
Polygon A has been translated down and then right
Answers
The transformation below would map the polygon A to the polygon B is
Polygon A have translated to the right and reflected vertically.
What is Translation ?A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
We have two polygon as A and B.
As, 90° clockwise rotation: (x, y) becomes (y,-x) 90° counterclockwise rotation: (x, y) becomes (-y, x).
But there is no change in the coordinate as such rule so rotation is not possible.
As we can see the figure Polygon A have translated to the right and reflected vertically.
Learn more about Translation here:
https://brainly.com/question/27994881
#SPJ1
Answer: Polygon A has been reflected horizontally and reflected vertically
Step-by-step explanation: I took the quiz and it was the right answer
Calculate the value of the expression(-7+3)(4-5×2)=
Answers
Use order of operations
75x+30y=1500. Solve for x and y
Answers
For the equation 75x+30y=1500, x is (100 - 2y) / 5 and y is (100 - 5x) / 2.
Describe Equation?An equation is a mathematical statement that uses symbols and numbers to express a relationship between two or more variables. It states that two expressions are equal to each other.
We can solve for x and y in the equation 75x + 30y = 1500 by using algebraic manipulation.
First, we can simplify the equation by dividing both sides by the greatest common factor of 75 and 30, which is 15:
(75x + 30y) / 15 = 1500 / 15
Simplifying the left side gives:
5x + 2y = 100
Next, we can isolate one of the variables. Let's isolate y by subtracting 5x from both sides:
5x + 2y - 5x = 100 - 5x
Simplifying the left side gives:
2y = 100 - 5x
by dividing both sides by 2:
y = (100 - 5x) / 2
This is the equation for y in terms of x. We can use this equation to solve for y given a value of x, or we can substitute it back into the original equation to solve for x in terms of y.
Let's solve for x in terms of y by isolating x in the equation 5x + 2y = 100:
5x = 100 - 2y
Dividing both sides by 5 gives:
x = (100 - 2y) / 5
This is the equation for x in terms of y. We can use this equation to solve for x given a value of y, or we can substitute it back into the original equation to solve for y in terms of x.
To know more about substitute visit:
https://brainly.com/question/10852714
#SPJ1
The angle between A = (25 m)i +(45 m)j, and the positive e axis is
Answers
Therefore, the angle between vector A and the positive e axis (which is the positive x-axis) is 60.255°.
To find the angle between vector A = (25 m)i + (45 m)j and the positive e axis, we first need to find the direction of vector A.
We can find the direction of vector A by taking the arctangent of the y-component over the x-component of the vector:
θ = tan⁻¹ (y/x)
where θ is the angle between the vector and the positive x-axis.
In this case, the y-component of vector A is 45 m and the x-component is 25 m:
θ = tan⁻¹ (45/25) = 60.255°
Learn more about dot product here:
brainly.com/question/29097076
#SPJ1
Members of a lacrosse team raised $2412.50 to go to a tournament. They rented a bus for $1072.50 and budgeted $67 per player for meals. Determine the number of players the team can bring to the tournament.
Answers
The number of players the team can bring to the tournament is 20.
What is a linear equation?
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0.
In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C.
Here, we have
Given: Members of a lacrosse team raised $2412.50 to go to a tournament. They rented a bus for $1072.50 and budgeted $67 per player for meals.
we have to determine the number of players the team can bring to the tournament.
So to make an equation, the bus charge would be the y-intercept (If no member went, they still paid for the bus fee) and the meals would be the slope (since it is dependent on how many members ride the bus.)
The total would add up to be 2412.50, so the equation would be:
2412.50 = 67x+1072.50
where x = the number of players the team can bring to the tournament without going outside of their budget.
After solving this, we get
2412.50 = 67x+1072.50
2412.50 - 1072.50 = 67x
1340 = 67x
x = 20
Hence, the number of players the team can bring to the tournament is 20.
To learn more about the linear equation from the given link
https://brainly.com/question/14323743
#SPJ1
A triangle has vertices x(2,1), y(5,4), z(5,1). What is the base and height of the triangle
Answers
Answer:
The base is XZ and the height is ZY.
The measure of base is: 3 Units
The measure of Height is: 3 Units
Step-by-step explanation:
The explaination is given in the pictures...
What are the coordinates of each point after the quadrilateral RSTU is rotated 90 degrees about the origin?
Answers
Answer:
Step-by-step explanation:
90 degrees is the answer because there is no movement
5. In each of the following figures, AB// CD. Find the value of the unknown.
Note: Don't give wrong answer. Give answer by step by step explanation
Answers
The values of the unknown in the figures are a = 40, b = 32 and c = 275
How to determine the values of the unknownFigure (a)
A quadrilateral has a total angle measure of 360 degrees.
So, we have
90 - a + 92 + 128 + 90 = 360
Evaluate the like terms
-a = 360 - 400
So, we have
a = 40
Figure (b)
The total measure of angles on a line is 180 degrees.
So, we have the following
4b - 10 + 2b - 2 = 180
Evaluate the like terms
6b = 192
So, we have
b = 32
Figure (c)
The total measure of angles at a point is 360 degrees
So, we have the following
c + 19 + (94 - 28) = 360
Evaluate the like terms
c = 275
Hence, the value of c is 275 degrees
Read more about angles at
https://brainly.com/question/25716982
#SPJ1
Another brand of sheets is on sale 30% off with a regular price of $18.00 per sheet. Which is a better deal, the previous example or this one? Explain.
Answers
The sale price per sheet in this example is $12.60.
What is the discount?
A discount is a reduction in the price of a product or service that is offered by a seller to a buyer. It is a form of incentive that is used to encourage customers to purchase goods or services, often by making them more affordable or attractive.
To compare the two deals, we need to calculate the sale price per sheet for each deal.
In the previous example, the sale price per sheet was $15.00 after a 20% discount off the regular price of $18.00.
In this example, the sale price per sheet is 30% off the regular price of $18.00, so we can calculate the sale price per sheet as:
Sale price per sheet = Regular price per sheet - Discount amount
Sale price per sheet = $18.00 - (30% x $18.00)
Sale price per sheet = $18.00 - $5.40
Sale price per sheet = $12.60
Comparing the two deals, we can see that the sale price per sheet in this example is lower than the sale price per sheet in the previous example. Therefore, the better deal is the 30% discount off the regular price of $18.00, which results in a sale price per sheet of $12.60.
Therefore, the sale price per sheet in this example is $12.60.
To learn more about the discount, visit:
brainly.com/question/1548141
#SPJ1
What is this equation
Answers
Answer:
x = 8
Step-by-step explanation:
[tex]15 + x = 23[/tex]
[tex]x = 23 - 15[/tex]
∴[tex]x = 8[/tex]
A parallelogram has vertices at (1, 3) , (1, 7) , and (4, 6) as shown. What is the point of the fourth vertex?
Answers
Answer:
(4,2)
Step-by-step explanation:
Help please due tonight
Answers
Step by step; Use the pythagorean theorem. (a^2 + b^2 = c^2 )
To find G-J;
7^2 + 3^2 = c^2
49 + 9 = c^2
58 = c^2
square both sides to isolate C, and the square root of 58 doesn’t simplify so we leave it alone.
sqr58
To find G-H;
4^2 + 7^2 = c^2
16 + 49 = c^2
65 = c^2
This, same as last time, 65 doesn’t simplify. Leave it.
sqr65
To find J-H;
3^2 + 4^2 = c^2
9 + 16 = c^2
25 = c^2
Finally, one that simplifies! Square root 25.
5
Please help! I will give brainliest and 5 stars!!
Answers
Based on the information in the graph, we can infer that the length of Main St between 5th Ave. and 6th Ave. is 0.24km.
How to find the value of Main St between 5th Ave. and 6th Ave?To find the value of Main St. between 5th Ave. and 6th Ave we must perform the following mathematical procedure:
0.4 / x = 0.5 / 0.30.12 = 0.5 * xx = 0.24kmIn accordance with the above, what we did was a relationship between the fractions that represent the length of each street. In this case we had to clear the x that represented Main St. between 5th Ave. and 6th Ave.
Learn more about fractions at: https://brainly.com/question/10354322
#SPJ1
Assignment 2: Please use the IQ data below and assess whether any of the IQ scores are statistically significantly high or low. Please provide corresponding z-score and percent of scores below from the table in the book. That is, you will need to provide the percent of all scores that falls BELOW the z-score you calculate (see z table in back of book gives you this percent). This is often referred to as the percentile rank.
Also, you will need to discuss whether each z- score meets the criteria of “statistically significant” and why. Please use your book to help with this part. While "statistical significance" is determined by an arbitrary score on the z-table, there is a score one must cross to be considered significant (.05 percent for example).
IQ Scores: 100, 90, 110, 160, 90, 85, 65, 100, 95, 98
Answers
The statistical significance does not necessarily imply practical significance. In this case, while the IQ score of 160 is statistically significant, it may not necessarily be practically
What is corresponding z-score and percent of scoreTo assess whether any of the IQ scores are statistically significantly high or low, we need to calculate the z-score for each score. The formula for calculating the z-score is:
z = (x - μ) / σ
Where x is the IQ score, μ is the mean IQ score, and σ is the standard deviation of IQ scores.
First, we need to calculate the mean and standard deviation of the IQ scores:
Mean = (100 + 90 + 110 + 160 + 90 + 85 + 65 + 100 + 95 + 98) / 10 = 99.3
Standard deviation = √[((100-99.3)² + (90-99.3)² + (110-99.3)² + (160-99.3)² + (90-99.3)² + (85-99.3)² + (65-99.3)² + (100-99.3)² + (95-99.3)² + (98-99.3)²) / 10] = 39.77
Now we can calculate the z-score for each IQ score:
z1 = (100 - 99.3) / 39.77 = 0.018
z2 = (90 - 99.3) / 39.77 = -0.233
z3 = (110 - 99.3) / 39.77 = 0.27
z4 = (160 - 99.3) / 39.77 = 1.53
z5 = (90 - 99.3) / 39.77 = -0.23
z6 = (85 - 99.3) / 39.77 = -0.36
z7 = (65 - 99.3) / 39.77 = -0.86
z8 = (100 - 99.3) / 39.77 = 0.017
z9 = (95 - 99.3) / 39.77 = -0.108
z10 = (98 - 99.3) / 39.77 = 0.032
Using the z-table, we can find the percent of scores below each z-score:
z1 = 0.018 or 70.01%
z2 = -0.233 or 34.67%
z3 = 0.27 or 75.01%
z4 = 1.53 or 83.68%
z5 = -0.23 or 34.67%
z6 = -0.36 or 37.47%
z7 = -0.86 or 45.16%
z8 = 0.017 or 70.01%
z9 = -0.108 or 31.80%
z10 = 0.032 or 69.15%
To determine whether each z-score is statistically significant, we need to compare it to a predetermined level of significance, typically α = 0.05. If the probability associated with the z-score (i.e., the percent of scores below it) is less than or equal to α, we consider the score statistically significant.
Based on this criterion, the only score that is statistically significant is the IQ score of 160 (z-score = 2.29, percent of scores below = 83.68%). All other scores have a probability greater than α, and therefore are not statistically significant.
Learn more on standard deviation here;
https://brainly.com/question/475676
#SPJ1