triangle jkl has purchases at the following coordinates J (2, 2) K( -1, 3) and L (-2,-1) determine whether or not triangle jkl is a right triangle show all calculations for full credit
Answers
It seems the triangle is rectangle, we will see if its true verifying via the pythagoras theorem
\(\begin{gathered} \text{The pytagoras theorem states that} \\ a^2+b^2=c^2 \\ \end{gathered}\)\(\begin{gathered} \text{ So we must calculate a, b, and c. } \\ a=d(K,L)=\sqrt[]{(-1-(-2))^2+(3-(-1))^2}^{} \\ a=\sqrt[]{1+16}=\sqrt[]{17} \\ \\ b=d(K,J)=\sqrt[]{(-1-(2))^2+(3-(2))^2} \\ b=\sqrt[]{9+1}=\sqrt[]{10} \\ \\ c=d(J,L)=\sqrt[]{(2-(-2))^2+(2-(-1))^2} \\ c=\sqrt[]{16+9}=\sqrt[]{25}=5 \end{gathered}\)And now we see a^2 +b^2 = c^2
\(\begin{gathered} a^2+b^2=17+10=27 \\ c^2=25, \\ \text{ Since 27}\ne25, \\ a^2+b^2\ne c^2 \end{gathered}\)And the triangle is not right triangle
Related Questions
Sheffield corporation shipped $20400 of merchandise on a consignment to Gooch company. Sheffield paid frieght cost of $2000. Gooch company paid $480 for local advertising wich is reimbursed from Sheffield . By year end 62% of the merchandise had been sold for $21500.Gooch notified Sheffield , retained a 10% commission , and remitted the cash due Sheffield . Prepare sheffield journal entry when the cash is received
Answers
The appropriate journal entry when the cash is received is: Debit Cash $18,870, Debit Advertising expense $480, Debit Commission expense $2,150, Credit Revenue from consignment sales $21,500.
Journal entrySheffield corporation entries
Debit Cash $18,870
[$21500-($480+ ($21500×10%))]
Debit Advertising expense $480
Debit Commission expense $2,150
(21,500×10%)
Credit Revenue from consignment sales $21,500
Debit Cost of goods sold $13,888
[($20400+$2000)×62%]
Credit Inventory on consignment $13,888
Therefore journal entry when the cash is received is: Debit Cash $18,870, Debit Advertising expense $480, Debit Commission expense $2,150, Credit Revenue from consignment sales $21,500.
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Are the slopes to the equations
y=2x+5 and y=3x+5 parallel,
perpendicular, or neither
Answers
Answer: Neither
Step-by-step explanation:
Two cabs leave the cab station. Cab A completes its route in 36 minutes and Cab B completes its route in 45 minutes. If both cabs return to the station after their routes, how many minutes will pass before the two cabs meet at the station?
Answers
Answer:
81 min I think
Step-by-step explanation:
If Cab A completes its route in 36 minutes and Cab B does his in 45 then if you subtract 45 by 46 that is the amount of minutes Cab A waits for Cab B to arrive!
1. An object is blasted upward at an initial velocity of 320 ft/s. The height, h(t), of the object is a function of time, t (in seconds), and is given by the formula h(t) = -16t2 + 320t. How long will it take the object the hit the ground after takeoff?
Answers
Answer:
20 seconds
Step-by-step explanation:
roots are (0,0) and (20,0) so 20-0 will provide the time from takeoff to landing
Morgan know that 3 gallons of water weigh 25 pounds. How much do 10 gallons weigh?
Answers
Answer:
10 Gallons of water will weigh 1.2 pounds.
Step-by-step explanation:
Each gallon weighs 0.12 pounds, I got this answer from dividing 3 by 25 to see how much one gallon weighs. So if we multiply the weight of one gallon by 10, 0.12*10, then we will find out the weight of ten gallons.
I hope this helped you!! You can ask questions any question you may have, if needed, and I will answer them :)
10 Gallons of water will weigh 1.2 pounds.
Here, we have,
given that,
Morgan know that 3 gallons of water weigh 25 pounds.
now, we need to find how much do 10 gallons weigh.
so, we get,
3 gallons of water weigh 25 pounds.
so, to see how much one gallon weighs we divide 3 by 25 .
i.e. 3/25 = 0.12
Each gallon weighs 0.12 pounds,
So if we multiply the weight of one gallon by 10,
i.e. 0.12*10, then we will find out the weight of ten gallons.
so, we get,
10 gallons weigh = 0.12*10 = 1.2 pounds.
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A to D is an example of _____________?
A. reflection across the line y = 1
B. reflection across the line y = x
C. y-axis symmetry
D. x-axis symmetry
Answers
Answer:
D
Step-by-step explanation:
A and D are both equidistant from the x- axis, that is
A is 3 units above the x- axis and D is 3 units below the x- axis
then the x- axis is the line of symmetry
Max and Maggie have to clean the house. It takes Max 12 hours to clean the house, while Maggie can complete the task in 4 hours. Their sister says that it will take 3 hours to complete if they work together. Explaining each step in solving this equation, and determine if the sister is correct or incorrect.
Answers
For Max, it takes 12 hours to clean the house, so in 1 hour he will complete 1/12 of the task.
For Maggie, it take 4 hours to clean the house, so in 1 hours she will complete 1/4 of the task.
Both of them working together means that in 1 hour they will complete 1/12 plus 1/4:
\(\frac{1}{12}+\frac{1}{4}=\frac{1}{12}+\frac{3}{12}=\frac{4}{12}=\frac{1}{3}\)Thus, in 1 hours both working together will make 1/3 of the task. To make the full task, they will need a total of 3 hours, because:
\(3\cdot\frac{1}{3}=1\)That is, 3 hours times the fraction of the task per hours gives 1 total task.
So, they will need 3 hours to complete and the sister is correct.
Which is an equation in slope intercept form of the line that passes through (1, 3) and (2, 4)?
Answers
Answer:
y = x + 2
Step-by-step explanation:
The slope-intercept equation is:
y = mx + b
First, you should use the point-slope formula to find the slope. Plug in the "x" and "y" values given from the points:
Point 1: (1,3) Point 2: (2,4)
y₁ - y₂ = m(x₁ - x₂) <--- Point-slope formula
(3 - 4) = m(1 - 2) <--- Plug in "x" and "y" values from points
-1 = -m <--- Simplify inside parentheses
1 = m <--- Divide both sides by -1
Finally, use one of the points to solve for the y-intercept (b):
Point 1: (1,3) m = 1
y = mx + b <--- Slope-intercept formula
3 = 1(1) + b <--- Plug in values from point and slope (m)
3 = 1 + b <--- Multiply slope and "x" value
2 = b <--- Subtract 1 from both sides
Since the slope = 1, it does not need to be included in the final formula. The final answer is:
y = x + 2
7.
Potassium-42 has a half-life of 12.4 hours. How much of an 848 gram sample of potassium-42 will be left after 62.0 hours?
Answers
The required amount of potassium-42 left after 62.0 hours is 26.5 grams.
Given that,
Potassium-42 has a half-life of 12.4 hours. How much of an 848-gram sample of potassium-42 will be left after 62.0 hours is to be determined.
The half-life of the element is defined as the time span in which the element grows or decays half of its whole composition of growth and decay.
Here,
Amount left of the potassium after 62 hours is given as,
A = 848 [1 / 2 ] ⁶²/¹²°⁴
A = 26.5 gram
Thus, the required amount of potassium-42 left after 62.0 hours is 26.5 grams.
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A box contains 240 lumps of sugar. Five lumps are fitted across the box and there were three layers. How many lumps are fitted along the box?
Answers
Number of lumps across each layer = 5
Number of layers = 3
Total number of lumps = Number of lumps across each layer × Number of layers
Total number of lumps = 5 × 3 = 15
Therefore, 15 lumps of sugar are fitted along the box.
If it’s possible, please mark me brainliest!
A researcher recruited 55 adults and tested their ability to remember a list of words. For each participant, the researcher counted the number of words correctly recalled and recorded their age (in years).
HYPOTHESIS
The research hypothesis is that age is related to memory performance.
This hypothesis is:__________.
a. directional
b. non-directional
Answers
Answer:
b. non-directional
Step-by-step explanation:
A directional hypothesis can be described as a hypothesis which predicts the direction of impact, either positive or negative, of one variable, especially independent variable, on the other variable which is known as an independent variable. For example, the hypothesis "age reduces memory performance" is a directional hypothesis. The reason is that "reduces" show the direction that age has a negative effect on memory performance.
On the other hand, non-directional hypothesis can be described as a hypothesis that does not predict the direction of impact but only states the relationship between two variables. For example, the research hypothesis is in the question that "age is related to memory performance" is non-directional hypothesis. This because the word "related" in the hypothesis only indicate that there is a relationship between the two variables, not the direction of effect of one variable on the other.
Find the surface area.
8 ft
8 ft
5 ft
Answers
Answer:
I think the answer is 288.
Step-by-step explanation:
are the ratios 2:1 and 20:10 equivalent
Answers
Yes, there is an analogous ratio between 2:1 and 20:10.
What ratio is similar to 2 to 1?We just cancel by a common factor. So 4:2=2:1 . The simplest representation of the ratio 4 to 2 is the ratio 2 to 1. Also, since each pair of numbers has the same relationship to one another, the ratios are equivalent.
By dividing the terms of each ratio by their greatest common factor, we may simplify both ratios to explain why.
As the greatest common factor for the ratio 2:1 is 1, additional simplification is not necessary.
The greatest common factor for the ratio 20:10 is 10. When we multiply both terms by 10, we get:
20 ÷ 10 : 10 ÷ 10
= 2 : 1
As a result, both ratios have the same reduced form, 2:1, making them equal.
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if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Answers
If you take away 25 from (100) you get 75.
70 also equals 2.5*30
2/18 = x/36 solve each proportion
Answers
2 / 8 = x / 36
we multiply both sides of the equation with 36 in order to solve for x.
36 × (2 / 8) = 36 ( x / 36)
9 = x
the proportion is
2 / 8 = 9 / 36
What is the constant of proportionality in the equation y=5/4x
Answers
The constant of proportionality in the equation is 5/4
What is constant of proportionality?The constant connecting two given numbers in what is known in a proportional relationship is the constant of proportionality.
The constant of proportionality may also be referred to as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.
In the problem, y = 5/4x
The constant term 5/4 as used in the equation is used t multiply the input x values to get the out put y values
The term helps in relating x to y
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Please help this make no sense to me
Answers
Step-by-step explanation:
See image below
Answer: 37cm²
Step-by-step explanation:
The entire graph of the function f is shown in the figure below.
Write the domain and range of f using interval notation.
Answers
Domain of f is ( -4 ,1 ) and Range of f is (4 , -5)
The domain refers to the set of possible input values.
The domain of a graph consists of all the input values shown on the x-axis.
The range is the set of possible output values, which are shown on the y-axis.
According to the graph ,
The horizontal extent of the graph is starting from -4 and ending on 1
Therefore , the domain of graph is (-4 , 1)
These points are not included in the domain , you can observe the end points of curves is not filled
The vertical extent of graph is starting from 4 and going downwards till -5
so, Range of graph is (4 , -5)
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A small radio transmitter broadcasts in a 69 mile radius. If you drive along a straight line from a city 93 miles north of the transmitter to a second city 78 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?
Answers
Answer:
See Explanation
Step-by-step explanation:
According to the Question,
We have A small radio transmitter that broadcasts in a 69-mile radius. If you drive along a straight line from a city 93 miles north of the transmitter to a second city 78 miles east of the transmitter.Thus,
The distance that you get reception is the length of the chord created by the intersection of the circle defining the edge of transmission and the line defining the car trip.
x2 + y2 = 69² this is the circleAnd,
The Transmitter at the origin
City to the north at (0,93) & City to the east at (78,0)
the Slope is M=(-93/78)
Intercept is B= y - mx ⇒ 93 - (-93/78)(0) = 93
The equation of the line between the cities is y = (-93/78)x + 93
y = -93x/78 + 93 this is the lineNow, Solve the above two Equations
The intersection is gotten from the picture or solving:
x^2 + [(-93/78)*x + 93]^2 = 69^2
on solving we get, the points approximately are: (67.952,11.98 ) and (23.6277, 64.82)Now,
From the Pythagorean theorem the total distance of the trip is:
d1 = √(93^2 + 78^2) ≈ 121.37miles
And the distance when the signal is picked up is:
d2 =√ [(67.952-23.627)^2 + (64.82 - 11.98)^2] ≈ 68.96 miles
You will pick up a signal from the transmitter in (d2/d1)*100 = 56% of the drive.
write the standard form of line that passes through (1,5) and (-2,3)
Answers
Answer:
2/3x - y = -13/3
Step-by-step explanation:
Step 1: Find slope m
m = (3 - 5)/(-2 - 1)
m = -2/-3
m = 2/3
y = 2/3x + b
Step 2: Find b
5 = 2/3(1) + b
5 = 2/3 + b
b = 13/3
Step 3: Write equation in slope-intercept form
y = 2/3x + 13/3
Step 4: Move 2/3x over
-2/3x + y = 13/3
Step 5: Factor out -1
-1(2/3x - y) = 13/3
Step 6: Divide both sides by -1
2/3x - y = -13/3
Many professions require mixtures of various materials to be precisely formed.
True
False
Answers
Answer:
True
Step-by-step explanation:
I NEED ANSWER ASAP
Suseth can do the typing job in 3 hours and lyneth can do the same job in 6 hours. How long will it take them to finish the typing job if they work together
Answers
Answer:
2 hours
Step-by-step explanation:
Find the average rate of change of the function from x = 1 to x = 2.F (x) = - 14/ x squared (x2)
Answers
Given the function f(x) defined as:
\(f(x)=-\frac{14}{x^2}\)In general, to find the average rate of change of the function from x = a and x = b (a < b), we use the formula:
\(Av=\frac{f(b)-f(a)}{b-a}\)For this problem, a = 1 and b = 2. Then, we calculate f(1) and f(2) first:
\(\begin{gathered} f(1)=-\frac{14}{1^2}=-14 \\ f(2)=-\frac{14}{2^2}=-3.5 \end{gathered}\)Finally, using the formula for the average rate of change:
\(Av=\frac{-3.5-(-14)}{2-1}=\frac{-3.5+14}{1}=10.5\)Somebody help me with this
40 points ☺️
Answers
Sally bought five books.Their mean price was 3.25. The total cost for four books was 11.75.what was the cost of the fifth book
Answers
Answer:
$4.50
Step-by-step explanation:
Use the mean formula: mean = sum of elements / number of elements
Let x represent the cost of the fifth book, and solve for x:
mean = sum of elements / number of elements
3.25 = (11.75 + x) / 5
16.25 = 11.75 + x
4.5 = x
So, the cost of the fifth book was $4.50
Over what interval is the graph of f(x) = -(x + 3)? - 1 decreasing?
Answers
the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).
What is a function?
A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.
The given function is:
f(x) = -(x + 3) - 1
To find the interval over which the function is decreasing, we need to find the values of x where the function's derivative is negative.
The derivative of the function is:
f'(x) = -1
The derivative is a constant, which means the function has a constant slope of -1. Since the slope is negative, the function is decreasing over its entire domain.
Therefore, the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).
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HELP!! WILL GIVE BRAINLIST!!
Answers
Answer:
\(str + stu = 180 \\ 180 - 20 = 4x \\ 160 = 4x \\ x = 40\)
1
Solve: -1/2x+2=-x+7
Answers
Answer:
x=10
Step-by-step explanation:
Step 1: Add x to both sides
Step 2: Subtract 2 from both sides.
Step 3: Multiply both sides by 2.
Solve 8 • 5^x = 48.x = log^5 (6)x=log48(5)/6x = log^8 (5)x=log5 (48)/6
Answers
SOLUTION
We want to solve the question
\(8•5^x=48\)This becomes
\(\begin{gathered} 8\times5^x=48 \\ divide\text{ both sides by 8, we have } \\ \frac{8\times5^x}{8}=\frac{48}{8} \\ 5^x=6 \end{gathered}\)Taking log of both sides, we have
\(\begin{gathered} log5^x=log6 \\ This\text{ becomes } \\ xlog5=log6 \\ dividing\text{ both sides by log5, we have } \\ x=\frac{log6}{log5} \\ x=log_5(6) \end{gathered}\)Hence the first option is correct
Rewrite 5ab showing the multiplication signs
Answers
Answer:
\(5ab = 5 \times a \times b\)
Step-by-step explanation:
Answer:
Step-by-step explanation:
5a*b