In a right triangle, the hypotenuse has endpoints XY, shown on the graph.
On a coordinate plane, line X Y has points (negative 4, 2), (negative 1, negative 3).
If Z represents the third vertex in the triangle and is located in the second quadrant with integer coordinates, what is the length of YZ?
3
4
5
6
Answers
9514 1404 393
Answer:
5
Step-by-step explanation:
A graph can be helpful. It shows possible integer coordinates of Z could be ...
(-1, 2) or (-5, 1)
These have distances 5 and 4√2 from Y, respectively. Of these, only the length YZ = 5 appears on your list of possible answers.
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The hypotenuse of a right triangle is the diameter of the circumcircle. That is, the right angle vertex (Z) appears on a circle whose center is the midpoint of the hypotenuse. Here, that circle center is C = (-4-1, 2-3)/2 = (-5/2, -1/2). The given point Y differs from this by C - Y = (-5/2 -(-1), -1/2 -(-3)) = (-3/2, 5/2). So, a point with integer coordinates will be 2×(5/2) = 5 units above point Y, which puts it in the 2nd quadrant.
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Adding any of the 8 combinations (±3/2, ±5/2) or (±5/2, ±3/2) to the circle center coordinates will result in integer coordinates for the right angle vertex. Of these, only the ones listed above are in the second quadrant. A couple are on the y-axis, and two of the possibilities are X and Y. The other two are in the third quadrant.
Related Questions
. At 9 am on a regular school day, there are 35 students in the library. If for every 30 minutes,
5 students will leave, but 2 students will come, at what time will there be no more students in
the library?
Answers
Answer:
360 minutes or In 6 hours.
Step-by-step explanation:
Eugene had $57.93 to spend when he went to Staples. He bought 4 notebooks for $7.99 each and some pens for $2.49 each. After paying for his supplies he had $18.50 left. How much did each pens cost?
Answers
Answer:$6.21
Step-by-step explanation:
57.93 - (4 X 7.99)
= $33.96
$33.96 - $18.50
= $15.46
[tex]\frac{15.46}{2.49}[/tex]
= $6.2088
=$6.21
'If there is a ton of corn in a tank, and 500 pounds of corn are removed, what is the
weight of the remaining corn in the tank?
Answers
Answer:
1,500 pounds :>
Step-by-step explanation:
There are 2,000 pounds in 1 ton, take away 500 from 2,000 you get 1,500
Ratio table answer If I buy two ice cream’s for six dollars how much would it cost to buy 10 ice cream’s
Answers
Answer:
It would cost $30 to buy 10 ice creams.
Step-by-step explanation:
1 ice cream costs $3
10*3=30
Streamline Market sells ground beef. Ground Beef sells for 1 pound at $1.39. 1 pound makes 4 hamburgers. What is the cost of 30 hamburgers rounded to the nearest cent?
Answers
Step by step:
30 / 4 = 7.5, so 7.5 pounds is needed
7.5 x 1.39 = 10.425 which is rounded to 10.43$
Which statement below is always true?
The product of a number and zero is equal to that number.The product of a number and zero is equal to that number. ,
The product of two negative numbers is negative.The product of two negative numbers is negative. ,
The product of a positive number and a negative number is positive.The product of a positive number and a negative number is positive. ,
The product of two positive numbers is positive.
Answers
Answer:
the product of two positive numbers is positive.
Step-by-step explanation:
the product of a number and zero will always be zero, the product of two negative numbers is always positive, and the product of a positive number and a negative number is always going to be negative thereforew the only correct answer is the last option
Plz answer will give brainliest if correct
Answers
Answer:
The answer is A.
Step-by-step explanation:
Which property is used in the first step to solve this equation
4(x-6)=5
4x-24 = 5
4x= 29
x=29/4
Answers
Answer:
Distributive property
Step-by-step explanation:
Every 8 hours, a company is able to manufacture 14 tents. Suppose that the total number of tents, y, is graphed agains the total number of hours, x. What is the slope?
Answers
what the answer to this 7(3 + b)
Answers
Answer:
21 + 7b
Step-by-step explanation:
We have the expression 7(3 + b) and are being asked the answer.
Our expression has a number out of a certain parenthesis, when this occurs, this means that we must distribute the number outside the parenthesis to the numbers inside. Do as following :
7(3 + b)
(7(3) + 7(b))
21 + 7b
(I am unsure on whether you forgot the "= 0" at the end, if you did please tell me in the comment section and I will change my answer.)
Tamara wants to pour a pitcher holding 5 cups of juice into servings that are 1/3 cup in size. How many servings are possible?
Answers
Answer:
15
Step-by-step explanation:
5 x 3 = 13
15 servings are possible.
Gareth believes that if he flips a coin 820 times, it will land heads up exactly 410 times. What would you tell Gareth about his prediction?
Answers
Answer:
A coin has a 50/50 chance to land on heads and if you flip it 820 times the most accurate prediction would be to split that 50/50.
Step-by-step explanation:
A coin has a 50/50 chance to land on heads and if you flip it 820 times the most accurate prediction would be to split that 50/50.
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
To know more about probability refer to :
https://brainly.com/question/13604758
#SPJ2
Classify the equation as a conditional equation, an identity, or a contradiction. 4x+5x−15=9x−10−5
Answers
Answer:
Identity
Step-by-step explanation:
Conditional equation, an identity, or a contradiction.
Conditional equation: Two sides are equal for some value of x.
Identity: Two sides are equal for every value of x.
Contradiction: We have 0x = number that is not 0.
4x+5x−15=9x−10−5
Lets solve
[tex]4x + 5x - 15 = 9x - 10 - 5[/tex]
[tex]9x - 15 = 9x - 15[/tex]
Equal on both sides, so identity.
Answer:
conditional equation
Step-by-step explanation:
Collecting terms on both sides, we get
−4+3x−5x−2x−4=−1−10+x=x−11
Subtracting x and adding 4 to both sides of the equation, we get
−3x=−7
This can be solved by dividing by −3 on both sides of the equation, which gives a unique solution of 73. So, this is a conditional equation.
Write an equation of the parabola in vertex form
Answers
Answer:
y = -1/9(x - 3) + 1.
Step-by-step explanation:
THe vertex is at (3, 1) so we can write:
y = a(x - 3)^2 + 1 where a is a constant.
Now the point 1, 5/9) is on the parabola so:
5/9 = a(1 - 3)^2 + 1
5/9 = 4a + 1
4a = 5/9 - 1 = -4/9 so
a = -4/9 / 4
a = -1/9
So the equation is y = -1/9(x - 3) + 1.
There are 22 students in your class. Your teacher is going to choose 2 students at random for a prize. What is the probability that it will be you and your best friend that is in the class?
A. 36
B. 70
C. 1/462
D. 6(4X+3Y-2)
E. 18.75
F. 23.36
G. 2.54
H. 36.3
I. 6(4X-3Y+2)
Answers
Answer:
C) 1 / 462
Step-by-step explanation:
22 x 21 = 462
How many terms will be in the expansion of (x-8y)^10?
There will be 10 – 1 = 9 terms in the expansion.
There will be 10 x 1 = 10 terms in the expansion.
There will be 10 + 1 = 10 terms in the expansion.
There will be 10 divided 1 = 11 terms in the expansion.
NEED THIS ASAP
Answers
Answer:
Step-by-step explanation:
There will be 10+1 = 11 terms in the expansion.
Identify the kind of sample that is described. A researcher asked a simple random sample of home-schooled children, a simple random sample of children who attend private school, and a simple random sample of children who attend public school their opinion on the new town curfew.
Answers
Answer:
stratified sample
Step-by-step explanation:
The kind of sample that is being described is known as a stratified sample. This would be the type of sample because the researchers are dividing the entire student population that exists into various different categories or groups. The groups that have been created are home-schooled students, private school students, and public school students. All of the students are still part of the student population and therefore represent their groups.
What is the answer to the following equation:
[tex]\frac{5}{4} \geq \sqrt[-443]{343434789} \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \alpha \beta x_{1397} \neq 8^{2}[/tex]
thanks[tex]\frac{5}{4} \geq \sqrt[-443]{343434789} \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \alpha \beta x_{1397} \neq 8^{2}[/tex]
Answers
Answer:
bro go0gle is the right answer for this i dont think the smartes person in the world can solve this.
Step-by-step explanation:
your height is 5ft 2 in btw i will give brainliest
Answers
Answer:
about 6
Step-by-step explanation:
a shadow is long so it kind of depends on where the sun is but what the shadow is casting off of is no actually that tall
Find the length of each side
Answers
The triangle is equilateral, so all sides are equal.
4x = 3x + 2
x = 2
4x = 8
All sides measure 8 units.
Kevin made 4 of his 6 shots on goal at soccer practice.
If he continues to shoot in the same manner throughout the
practice, how many shots would he make out of 72?
Answers
Answer:
48
Step-by-step explanation:
4/6 = 2/3
2/3 times 72 = 48
1. If f(x) = 5x4 tan-1x, find f '(x). ( 4 points)
Answers
Answer:
what are the answer choices
Step-by-step explanation:
Un comerciante compra 320 kg de azúcar en $784.00 en cuanto debe vender el kg. Para ganar el 18% sobre el precio de compra
Answers
Total venta con beneficio: 784 * 1,18 = $925,12
Total venta por kilo: 925,12 : 320 = $2,89
Joel is looking at payment plans for the gym.
Plan A: $25 per month plus $145 to start
Plan B: $50 per month
How many months would it take for Plan A to be cheaper than Plan B?
Answers
Answer:
5 months
Step-by-step explanation:
plan a: $145 +$25x ........ $145 + ($25 x 4)= $245
plan b: $50x.......... $50 x 5= $250
what does math means
Answers
Answer:
It means mathematics.
Lamoo thats wht it said in go-ogle
Step-by-step explanation:
. Which of the following situations is best represented by the equation y = x + 15?
1 Each student begins the candy hunt with 15 pieces of candy in their bag.
2 Emery earns $15 per hour babysitting.
3 Joshua spent $15 of his money at the movie theatre.
4 Each homeroom class has at least 15 students.
Answers
Step-by-step explanation:
= 30 djdjsbdjdbdbdu djsjsbs
I say that A best represents the equation.
The reason I say this is because the equation (y= x + 15) can be explained like this.
y= Total amount of candy (in this case since it's based on A)
x= Amount found (normally would be called earned)
15= starting amount (aka initial value)
So since each student started with 15 you would add that on to X= the total amount found. Then after that the total value (y) would have been represented by the equation X + 15.
All in all A best represents the equation Y= X + 15.
Hope this helps.
。 . . 。 ඞ ඞ ඞ ඞ ඞ ඞ ඞ 。 . • . [Northstar] was ejected. . . 。 . 。 ﾟ . . , . . .. 。 • ﾟ 。 . . . 。。 • ﾟ 。 . . . 。。 • ﾟ 。 . . . 。。 • ﾟ 。 . . . 。
Is figure ABCD a translation of Figure ABCD
A. Yes it is translated 2 units left and 2 units up
B. Yes it is translated 1 unit left and 3 units up
C. Yes it is translated 3 units left and 1 unit up
D. No the two figures are oriented diferently
Answers
Gianna had a canister with 6 1/2 pounds of sugar. She used 2 3/4 pounds of sugar to make cookies. How much sugar is left in the canister?
A. 3 3/4
B. 4 1/4
C. 4 3/4
D. 17 7/8
Answers
The dimensions of a rectangle are √50a^3b^2 and √200a^3. What is the students error?
Answers
Answer:
The student incorrectly simplified [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] .
Thus, option D is correct.
Step-by-step explanation:
The formula to determine the Perimeter of a rectangle of width w and length l is expressed as:
[tex]P = 2l + 2w[/tex]
In other words, the perimeter can be determined by multiplying the length and width by 2 and adding the result.
In our case, the dimensions of a rectangle are [tex]\sqrt{50a^3b^2}[/tex] and [tex]\sqrt{200a^3}\:\:[/tex].
Here is the student's solution:
[tex]2\sqrt{50a^3b^2}+2\sqrt{200a^3}=2\cdot 5ab\sqrt{2a}+2\cdot 10a\sqrt{2a}[/tex]
[tex]=10ab\sqrt{2a}+20a\sqrt{2a}[/tex]
[tex]=30ab\sqrt{2a}[/tex]
The student made an error in calculating [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] , because [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] are not like terms.
Hence, [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] can not be simplified to [tex]30ab\sqrt{2a}[/tex]
Therefore, the student incorrectly simplified [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] .
Thus, option D is correct.
Here is the correct Solution:
[tex]2\sqrt{50a^3b^2}+2\sqrt{200a^3}=2\cdot 5ab\sqrt{2a}+2\cdot 10a\sqrt{2a}[/tex]
[tex]=10ab\sqrt{2a}+20a\sqrt{2a}[/tex]
Answer:
D. The student incorrectly simplified 10ab sqrt2a+ 20a sqrt2a
Step-by-step explanation:
Just did it.
PLEASE HELP ME!!!!!
Amelia is going to invest $90,000 and leave it in an account for 12 years. Assuming the interest is compounded monthly, what interest rate, , would be required in order for Amelia to end up with $144,000?
Answers
Answer:
3.92%
Step-by-step explanation:
