The perimeter of the figure is 8 + √14 units
How to graph the figure in the coordinate plane and find the perimeter?The coordinates are given as
X(0,1), Y(4, -2), Z(-5, -2)
Next, we plot the above coordinates on a coordinate plane
See attachment for the plot of the coordinates on a coordinate plane
Next, we calculate the distance between the points using
d = √(x2 - x1)^2 + (y2 - y1)^2
So, we have
XY = √(0 - 4)^2 + (1 + 2)^2 = 5
XZ = √(0 + 5)^2 + (1 + 2)^2 = √14
YZ = √(4 + 5)^2 + (-2 + 2)^2 = 3
The perimeter is calculated as
P = XY + XZ + YZ
So, we have
P = 5 + √14 + 3
Evaluate
P = 8 + √14
Hence, the perimeter of the figure is 8 + √14 units
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Graph the function.
f(x)=5/9(x+9)(x+3)
Answer: i inserted two just incase but tell me if i am wrong
Step-by-step explanation:
Graphs of a function and its inverse are shown on the same coordinate grid.
Which statements accurately compare the function and its inverse? Check all that apply.
The domains of the two functions extend to positive infinity.
The ranges of the two functions are all real numbers.
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Neither function has a minimum.
The correct statements are;
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Option C and D
How to determine the correct statementsTo accurately compare a function and its inverse based on the graphs, we have to know the following;
The domains of the two functions extend to positive infinity if the domain of the inverse function is equivalent to the range of the original function.The ranges of the two functions are all real numbers if the graphs cover the entire y-axis without any gaps or discontinuities.If the graphs intersect at the point (a, b), it means that f(a) = b and f^(-1)(b) = a, indicating that the functions are inverses of each other.
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Work out the math problem 200.5 multiplied by 0.88.
Answer:
176.440
Step-by-step explanation:
200.5 × 0.88 = 176.440
There's 3 total decimal places in both of the numbers. Let's ignore them for now and multiply like we normally would.
Now that we have our answer, let's rewrite 176440 with 3 decimal places, so it becomes 176.440.
BIG IDEAS MATH
Exploration 1: Identifying Common Multiples
Work with a partner. In parts (a)-(d), create a Venn diagram that represents the first several multiples of each number and Identify any common multiples.
a. 8 and 12
Multiples of 8
Multiples of 12
ENGLISH
ENGLISH
Please, help it is geometry
Answer:
WR ≈ 13.862
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
WR² + RT² = WT²
WR² + 12.1² = 18.4²
WR² + 146.41 = 338.56 ( subtract 146.41 from both sides )
WR² = 192.15 ( take the square root of both sides )
WR = \(\sqrt{192.15}\) ≈ 13.862 ( to the nearest thousandth )
Prove that (sinθ-cosθ)^2(sinθ+cosθ)^2 = 2
Step-by-step explanation:
(sinθ + cosθ)^2 + (sinθ − cosθ)^2
= (sin^2 θ + cos^2 θ + 2sinθ cosθ)+(sin^2 θ+cos^2 θ − 2sinθ cosθ)
= (1 + 2sinθ cosθ) + (1 − 2sinθ cosθ)
= 1 + 2sinθ cosθ + 1 − 2sinθ cosθ
= 1 + 1 = 2
Therefore, (sinθ+cosθ)^2 + (sinθ−cosθ)^2 = 2
What song form is the song. "Shameless" by Billy Joel written in?
A. Verse-chorus-bridge
B. AABA
C. ABACA
D. Verse-chorus
Write the line equation passing through (-4,-1) and parallel to y=-1/2x+1
Answer:
\(y=-\dfrac{1}{2}x-3\)
Step-by-step explanation:
\(\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}\)
Given equation:
\(y=-\dfrac{1}{2}x+1\)
Parallel lines have the same slope.
Therefore, the slope of the line parallel to the given equation is:
\(m=-\dfrac{1}{2}\)
Substitute the found slope and given point (-4, -1) into the point-slope formula:
\(\implies y-(-1)=-\dfrac{1}{2}(x-(-4))\)
\(\implies y+1=-\dfrac{1}{2}(x+4)\)
\(\implies y+1=-\dfrac{1}{2}x-2\)
\(\implies y=-\dfrac{1}{2}x-3\)
Therefore, the equation of the line passing through (-4, -1) and parallel to the given equation is:
\(\boxed{y=-\dfrac{1}{2}x-3}\)
If , , and , then and .
Answer:
234
Step-by-step explanation:
the answer 234
3. Journalise the following transactions:
(i) Paid 2,000 in cash as wages on installation of a machine.
(ii) Sold goods to Mr. Chopra at a list price of ₹4,000. Sales
subject to 10% Trade Discount and 5% Cash discount if payment
is made immediately, Mr. Chopra availed of cash discount.
These are the two transactions that are given in the question and the journalizing of these transactions are explained with the appropriate steps and accounts.
The solution for the journalizing of the given transactions can be found below:
Journalizing refers to the recording of business transactions in the journal. In the process of journalizing, all transactions are recorded in the journal in a systematic way.
Journal is the first place where every transaction is recorded systematically.
The transaction is a business exchange in which one entity provides value to another entity in exchange for a specific item, service, or asset.
Transaction
(i) is paid Rs 2000 in cash as wages on the installation of the machine. This transaction can be journalized as follows: Journal of Transactions Date Particulars LF Amount (Dr.) Amount (Cr.) DD/MM/YYYCash a/c………………………Dr.2000To wages a/c2000 (Being cash paid as wages on the installation of the machine)Transaction
(ii) sold goods to Mr. Chopra at a list price of Rs 4,000. The sale is subject to a 10% trade discount and a 5% cash discount if the payment is made immediately, Mr. Chopra availed cash discount.
This transaction can be journalized as follows: Journal of Transactions Date Particulars LF Amount (Dr.) Amount(Cr.) DD/MM/YYYMr. Chopra a/c………………………Dr.3,420To Sales a/c4,000 (Being sales made to Mr. Chopra on a discount) To Trade Discount a/c400 (Being Trade Discount allowed to Mr. Chopra) Cash Discount a/c180 (Being cash discount allowed to Mr. Chopra) To Mr. Chopra a/c180 (Being cash received from Mr. Chopra) To CGST a/c90(Being CGST charged on sales) To SGST a/c90(Being SGST charged on sales)
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A construction worker is painting
walls. He has 4 ½ gallons of paint.
All of the walls are the same size and
each require 3/4 gallon of paint. How
many walls will the construction
worker be able to repaint with that
amount of paint?
A.
B.
C.
D.
4 walls
5 walls
6 walls
7 walls
The construction worker will be able to repaint 6 walls with 4 ½ gallons of paint. Option C
To determine how many walls the construction worker will be able to repaint with 4 ½ gallons of paint, we need to divide the total amount of paint by the amount required per wall.
The worker has 4 ½ gallons of paint, which can be written as 4 + 1/2 gallons.
Each wall requires 3/4 gallon of paint.
To find the number of walls that can be repainted, we divide the total amount of paint by the amount required per wall:
Number of walls = (Total amount of paint) / (Amount required per wall)
Plugging in the values, we have:
Number of walls = (4 + 1/2) gallons / (3/4 gallon)
To simplify the division, we can convert the mixed number 4 1/2 to an improper fraction:
Number of walls = (9/2) gallons / (3/4 gallon)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
Number of walls = (9/2) gallons * (4/3 gallon)
Simplifying the multiplication:
Number of walls = (9 * 4) / (2 * 3) = 36/6 = 6
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Marina paid $16.95 for a sweater on sale which is 65% of the original cost. How much did the sweater cost originally
Answer:
$26.08.
Step-by-step explanation:
\(1. \ \frac{16.95}{0.65} =\frac{x}{1};\)
2) x=16.95/0.65≈$26.076923076923076923
Help plsssssssssssssss
Answer:
They're all manufactured
Step-by-step explanation:
i think so
They are all consumable products
You need to buy more gas every now and then.
Yogurt runs out.
Cereal runs out.
Glue don't last forever.
Soap gets used up.
Yarn gets used up.
What is the answer to this question and how to solve?
Answer:
Line ZL and line LZ.
Step-by-step explanation:
Since it is a line (because a line needs to have two or more points to be able to graph), it can be represented in two ways. The first being ZL, and the second being LZ.
Brainliest please.
Answer:
Step-by-step explanation
Oh
Energy Drinks: Popular energy drinks contain green tea extract and caffeine. Do these energy drinks help you lose weight by increasing your metabolism? Researchers at a medical school designed an experiment to determine the chemical effects of green tea and caffeine on energy metabolism in healthy, lean, young adults. Researchers randomly assigned participants to 2 treatments. One group drank Formula A, a beverage with green tea and caffeine. The other group drank Formula B, a beverage with none of these ingredients but colored to look like Formula A. The beverages were blinded at the production site, so the experiment was double-blind. The researchers chilled the beverages to 6°C. Participants drank the beverages at the same time each day for three days. During the 3 days of the experiment, the researchers fed each participant the same diet. On the 3rd day participants spent 24 hours in a calorimeter chamber to measure their energy metabolism. The medical journal Obesity published the results in 2007. Which confounding variable is controlled by randomly assigning individuals to treatments? the effect of green tea and caffeine on energy metabolism the effect of green tea and caffeine on energy metabolism the physical fitness level of the participants the physical fitness level of the participants the time of day participants drank the beverages the time of day participants drank the beverages
The confounding variable which is controlled by randomly assigning individuals to treatments is: C. the time of day participants drank the beverages.
What is a confounding variable?A confounding variable is also referred to as a confounder and it can be defined as a type of variable that has the ability to influence both the independent and dependent variables.
Also, a confounding variable is usually not accounted for by the researcher and as such it can cause a spurious association between the independent and dependent variables.
In this context, we can infer and logically deduce that the time of day at which participants drank the beverages is a confounding variable which is controlled by randomly assigning individuals to treatments.
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True or false: The quadratic formula is =
True
-b± √b-4(a) (c)
———————
2(a)
Answer:
False.
Step-by-step explanation:
The quadratic formula is as follows:
\(-b + \sqrt{\frac{b^2-4ac}{2a}\) or \(-b - \sqrt{\frac{b^2-4ac}{2a}\) (I wasn't able to do the plus/minus so that's why there's two equations since you get two different answers from doing plus or minus)
The incorrect portion would be the variable "b" under the square root, as the correct format would be b².
simplify 48 divided by (-12) will give brainliest
Answer:
-4
Step-by-step explanation:
Answer:
the answer is -4. it's the same as dividing by a positive, except the number will be negative now :)
Michael was working on finding the better buy for granola bars: 8 bars for $10 or 20 bars for $23. Which is the better buy if you were buying 40 bars?
Answer:
20 bars for $23
Step-by-step explanation:
8 bars for $10 you have to multiply 8 by 5 to get 40 so multiply $10 by 5 and you get $50
20 bars for $23 you have to multiply 20 by 2 and you get 40, so multiply $23 by 2 and you get $46 dollars there for 20 for $23 dollars is the better buy
:)
What is the value of "x", when 1/3x = 9 1/3?
Answer:
x=28
Step-by-step explanation:
solve for x by simplifying both sides of the equation, then isolating the variable.
have a good day :)
Answer
x=3 1/9
Step-by-step explanation:
6.785 3 rounded to the nearest thousand
Answer:
6.8
Step-by-step explanation:
Answer:6.7850 also it's thousandth :)
Step-by-step explanation:
4030ت کا اس2015.10YX0-5w-10Which two points on the model combine to make a zero pair?A Points Z and XB. Points Y and XC. Points W and XD. Points W and Z
From the diagram given, we can observe that W = -10, X = 0, Y=5 and Z=10
So we can see that
THE PAIR THAT CAN COMBINE TO GIVE ZERO IS W and Z
I.e W + Z = -10 + 10 = 0
Answer is option D
What is the percent of 1 - 3√(5/35) ?
Answer:
1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%
Step-by-step explanation:
To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.
1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
To convert this decimal to a percentage, we simply multiply by 100:
0.0755 * 100 = 7.55%
the width of a rectangle is 9yds less . The area is 36sq yards
Answer:
17
Step-by-step explanation:
fhxc. t thug g h y yxhxg yxtzt
Is the product of 15 and
2/3 more or less than 15? Explain your answer in complete sentences.
Answer:
its less than 15. your basically getting 2/3 out of 15.
Step-by-step explanation:
15x2= 30
=30/3= 10
10 is less than 15
Hope this helps and please brainliest
Can’t figure out the answer. I think that I am doing it right but I keep getting 60/61.
========================================================
Explanation:
Let P be the origin (0,0) and Q be the point where this parametric line intersects the xy plane. The goal is to find the distance from P to Q. First we need to locate Q.
Because Q is on the xy plane, this means it's of the form (x,y,0). We could say it's in the form (x,y), but writing (x,y,0) allows for the 3rd dimension to take account.
This means we'll plug z = 0 into the third equation to find t
z = 6t-12
0 = 6t-12
12 = 6t
6t = 12
t = 12/6
t = 2
Now we have enough info to pinpoint the exact location of point Q.
x = 3t = 3*2 = 6y = 4t = 4*2 = 8Point Q is located at (6,8) which is the same as (6,8,0)
---------------------
P is at (0,0) and Q is at (6,8)
Apply the distance formula to finish off the problem.
\(d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-6)^2 + (0-8)^2}\\\\d = \sqrt{(-6)^2 + (-8)^2}\\\\d = \sqrt{36 + 64}\\\\d = \sqrt{100}\\\\d = 10\\\\\)
Alternatively, you can use the pythagorean theorem \(a^2+b^2 = c^2\) to plug in a = 6 and b = 8 to find that c = 10.
Given the drawing as shown below and that pllq. Which of the following cannot be supported by the evidence shown? Worth 10 points
The relation that can not be supported by the evidence in the image is option B
What happens when a transversal cuts a parallel line?
Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.
Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.
Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.
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8 feet
The largest possible circle is cut out of a square whose side length is 8 feet. What will be the approximate area, in square feet, of
the remaining board? (4=r2 where = 3.14)
0 5f²
O 10 ft²
O 15 ft2
○ 20 ft²
C
Answer:
50.24sqft
Step-by-step explanation:
side = 8ft
that means that the circle diameter will be 8ft
the radius will be half the diameter, so 4ft
the area of the circle is
\(\pi r^2 = \pi \cdot (4ft)^2 \approx 3.14 \cdot 16sqft = 50.24sqft\)
Convert 28% to common fraction .
Answer:
Step-by-step explanation:
28/100 = 14/50= 7/25
Answer:
28% = 7/25
Step-by-step explanation:
Percent means "per hundred"
Then:
28% = 28/100
= 14/50
= 7/25
- The point A(8, – 7) is reflecteabver the origin and its image is point B. What are the coordinates of point B?
Answer: Definitely point A
Step-by-step explanation:
Draw u – v + w. (4 points)
The graph of U + V + W vectors is attached accordingly.
What is a vector in math?A vector is a number or phenomena with two distinct properties: magnitude and direction. The word can also refer to a quantity's mathematical or geometrical representation.
From the question,
U = (1,5), iV = (-3, 1) and W = (4, -3)
Thus, U + V + W = (1-3+4, 5+1-3)
= (2, 3)
Hence, the attached graph.
Note that In nature, vectors include velocity, momentum, force, electromagnetic fields, and weight.
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