The true statement for the given information is the y coordinate is negative
The correct answer is:
d. The y-coordinate is negative.
Let's break down the problem step by step:
1. Identify the Quadrants of the Endpoints: One endpoint lies in quadrant 2, and the other endpoint lies in quadrant 3.
2. Determine the Coordinates of the Endpoints:
- For a point in quadrant 2, both the x-coordinate and y-coordinate are positive.
- For a point in quadrant 3, the x-coordinate is negative, and the y-coordinate is negative.
3. Find the Midpoint Formula: The midpoint formula for a line segment with endpoints [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] is:
[tex]\[ \text{Midpoint} = \left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) \][/tex]
Now, let's apply these steps to find the properties of the midpoint:
1. Identify the Quadrants of the Endpoints:
- Endpoint 1: Quadrant 2
- Endpoint 2: Quadrant 3
2. Determine the Coordinates of the Endpoints:
- Endpoint 1 (Quadrant 2): Positive x-coordinate, Positive y-coordinate
- Endpoint 2 (Quadrant 3): Negative x-coordinate, Negative y-coordinate
3. Find the Midpoint:
- Since the x-coordinate of one endpoint is positive and the x-coordinate of the other endpoint is negative, the x-coordinate of the midpoint will be between these two values, but we cannot determine its sign from this information.
- Since one y-coordinate is positive and the other is negative, the midpoint's y-coordinate will lie between these two values, but it will be negative.
Therefore, the correct answer is:
d. The y-coordinate is negative.
The midpoint's x-coordinate could be either positive or negative, depending on the specific values of the endpoints. However, the y-coordinate will always be negative because it lies between a positive y-coordinate and a negative y-coordinate. This is consistent with the fact that one endpoint lies in quadrant 2 (positive y) and the other lies in quadrant 3 (negative y).
Complete question:
one endpoint of the line segment lies on quadrant 2 while the other endpoint lies in quadrant 3 which statement is true about the segment's midpoint
a. the x coordinate is negative
b. the x coordinate is positive
c. the y coordinate is positive
d. the y coordinate is negative
Please give accurate answer. I will give Brainliest. 20 points for answer.
You have to travel 3/4 mile to get home. Each city block is 1/20 mile long. How many blocks do you have to travel?
In 1980 the population in Detroit, Michigan was approximately 1, 200, 000. If the population decreased at an annual rate of 14.6% over the next decade What was the population of Detroit in 1990, 10 years later
the following scatter plot demonstrates that there is a positive correlation between the two quantities.
Which of the values for x and y make the equation 3x + 4y + 6 = 26 true?
x = 4, y = 2
x = 5, y = 6
x = 4, y = 3
x = 3, y = 5
On a number line, point S has coordinate –1.6 and point T has coordinate –6.5.
Which expressions represent the distance between point S and point T?
Choose all answers that are correct.
A. [1.6+(-6.5)]
B. [-1.6-(-6.5)]
C. [-6.5-(-1.6)]
D. [-6.5-1.6]
Answer:
I am 96 percent it is c
Hope this helped!!!!
the annual health insurance premium for Ms. Everett is $12,304 her employer says 70% of the premium and deducts the remainder from her paycheck Ms. Everett is paid monthly what amount is deducted from Ms. Everett paycheck for her health insurance premium.
$141.97
$307.60
$331.26
$717.73
To find the amount deducted from Ms. Everett's paycheck for her health insurance premium, calculate 70% of the annual premium, subtract the employer's contribution, and divide by 12 for the monthly deduction, resulting in $307.60. The correct answer is B.
To calculate the amount deducted from Ms. Everett's paycheck for her health insurance premium, first, find 70% of the annual premium:
70% of $12,304 = 0.70 x $12,304 = $8,612.80
The remainder that Ms. Everett must pay is the annual premium minus the employer's contribution: $12,304 - $8,612.80 = $3,691.20
Since Ms. Everett is paid monthly, divide the annual amount by 12 to find the monthly deduction: $3,691.20 ÷ 12 = $307.60
Therefore, the amount deducted from Ms. Everett's paycheck for her health insurance premium is $307.60.
Cindy's job is to check computer printers for defects. Out of 420 printers she has to check, only 3 of the first 84 have been defective. What is the best prediction of the total numbers of printers in this group that will be defective?
A bargain bin contains classical and rock and CDs. There are 60 CDs in the bin. Choosing a rock CD have the same number of favorable outcomes. How many rocks CDs are in the bin
The bin should contain 30 rock CDs, which constitutes half of the total CDs (60). This conclusion is reached by dividing the total number of CDs by 2, as the question implies an equal probability of picking a rock or classical CD.
Explanation:The question pertains to the concept of probability in mathematics. Here, the total number of CDs is specified as 60. If choosing a rock CD has the same number of favorable outcomes, it means that half of the CDs are rock CDs (as the other half would then be classical CDs). So, to find the number of rock CDs in the bin, you simply divide the total number of CDs by 2. Here, 60 CDs divided by 2 equals 30. Thus, there are 30 rock CDs in the bin.
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a number is chosen at random from 1 to 50. find the probability of selecting divisors of 12
a store sign reads take 90% off the original price when you take an additional 15% off the sale price which is 75% of the original price. Is the store sign correct
what is equivalent to sin^-1(sqrt.3/2)
Answer:
[tex]\frac{\pi }{3}[/tex]
Step-by-step explanation:
[tex]sin^{-1}(\frac{\sqrt{3} }{2})[/tex]
In, 30-60-90 degree triangle ,
the sides are in the ratio [tex]1: \sqrt{3} :2[/tex]
[tex]sin(60)= \frac{opposite}{hypotenuse}[/tex]
for 60 degree, opposite side = square root (3)
hypotenuse = 2
So [tex]sin(60)= \frac{\sqrt{3}}{2}[/tex]
when we move sin to the other side then it becomes sin^-1
[tex]60= sin^{-1}\frac{\sqrt{3}}{2}[/tex]
angle 60 degree is [tex]\frac{\pi }{3}[/tex]
[tex]sin^{-1}(\frac{\sqrt{3} }{2})=\frac{\pi }{3}[/tex]
The expression that is equivalent to sin⁻¹(sqrt. 3/2) is π/3.
What is the equivalent expression?The expression that is equivalent to another is one that yields the same output no matter the arrangement of the figures and signs.
For the expression, sin⁻¹(sqrt. 3/2), the equivalent can be obtained thus;
sin 60 = opposite/hypotenuse
sin 60 = √3/2
60 = sine⁻¹√3/2
= π/3.
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Choose all that give the correct expression.
A) Steven lost four $10 bills, and now he has −$40. −4 × 10
B) If I lose 8 pounds per month for 3 months, my weight will change −24 pounds total. 3 × (−8)
C) Sarah spends $2 for each fare on the commuter train. She rides the train 10 times during a week. 2 × (−10)
D) Pat and Amy were on a diet for 4 months. Pat lost an average of 3 pounds a month, and Amy lost an average of 4 pounds a month. 4((−3) + (−4))
Answer:
the answer would be A B and D
Step-by-step explanation:
had to figure it out myself -.-
Determine the length of the missing side in each of the right triangles below using the Pythagorean Theorem: a2 + b2 = c2.
PLEASE HELP!! surface area of composite figures..
Cut the shape into shapes you know the area of and do the formula this helps
The radius of circle O is 24,and OC = 11. What is the length of AB?
Answer: The correct option is (A) 42.7 units.
Step-by-step explanation: Given that the radius of the circle center at O is 24 units and OC is 11 units.
We are to find the length of chord AB.
We have,
in the right-angled triangle OCB (m∠OCB = 90°),
OB = 24 units and OC = 11 units.
Using Pythagoras theorem in ΔOCB, we have
[tex]OB^2=OC^2+BC^2\\\\\Rightarrow BC=\sqrt{OB^2-OC^2}\\\\\Rightarrow BC=\sqrt{24^2-11^2}\\\\\Rightarrow BC=\sqrt{576-121}\\\\\Rightarrow BC=\sqrt{455}\\\\\Rightarrow BC=21.33.[/tex]
Since OC is perpendicular to chord AB, so AC = BC.
Therefore, we get
[tex]AB=AC+BC=2\times BC=2\times 21.33=42.66=42.7.[/tex]
Thus, the required length of AB is 42.7 units.
Option (A) is CORRECT.
PQ bisects ∠SPY. m∠SPQ =[tex] \frac{11}{2}
[/tex] x-5 and m∠YPQ= 4x- [tex] \frac{5}{2} [/tex]
Solve for x and find m∠SPY
What does the absolute value of a number tell you
how to solve -6<-2x<14
Darnell rented a moving truck.The weight of the empty truck was 7,860 pounds.When Darnell filled the truck with his items,it weighed 6 tons.what was the weight in pounds of the items was Darnell placed in the truck? show the work
the cost of $27 to produce 2 cameras $105 to produce 4 cameras whats the total cost to produce 5 cameras
Using polar coordinates to find area inside a rectangle.
The vertices are (0,0), (0,4), (2,4), (2,0).
This is a calculus level question, please help :(
Use the vertices to find the length and width of the rectangle:
Length = (0,0) (0,4) = 0-0 = 0, 4-0 = 4
Length = 4
Width = (0,0) (2,0) = 2-0 = 2, 0-0 = 0 = 2
Width = 0
Area = 4 x 2 = 8 square units
35x^7+15x^5-10x^3/5x^3
the sum is a prime number the sum is less than 4
There is no such sum of two numbers that is a prime number and less than 4.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
It is not possible to have a sum of two numbers that is a prime number and less than 4.
The only possible sums of two numbers less than 4 are:
1 + 1 = 2
1 + 2 = 3
2 + 2 = 4
Out of these, only 2 and 3 are prime numbers.
However, the sum of any two numbers less than 4 that is equal to 2 or 3 necessarily involves at least one number equal to 1, and 1 is not a prime number.
Therefore,
There is no such sum of two numbers that is a prime number and less than 4.
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What is radius???????
A radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. Set up the formula for the area of a circle. The formula is A = π r 2 it equals the area of the circle, and r equals the radius.
Solve for the radius.
Plug the area into the formula.
Divide the area by.
Take the square root.
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Dexter has a gift card for $20.00 to an electronics store. He also has a coupon for 25% off his entire purchase, so he will be paying 75% of the total cost. He plans to buy a video game for $10.00 and batteries for $2.00. Select the equation that represents how much money will be left on his gift card after his purchases if x represents his remaining balance.
Answer:
The linear equation that represent the situation is [tex]x=20-0.75(10+2)[/tex]
The remaining balance on his gift card is [tex]\$11[/tex]
Step-by-step explanation:
Let
x------> represents the remaining balance
we know that
The linear equation that represent the situation is equal to
[tex]x=20-0.75(10+2)[/tex]
Solve
[tex]x=20-0.75(12)[/tex]
[tex]x=20-9[/tex]
[tex]x=\$11[/tex]
Answer:
its B
Step-by-step explanation:
rate of 33.00 for 11 pounds of meat
Which graph represents the given inequality?
y > 4x - 2
I need help with the first three please!!!
What is the output value for the following function if the input value is 3.2?
y = 2x - 1
1
2
4.2
5.4
The given function is y = 2x -1 which is of the form of a straight line with the form y = mx + c
now, we have been given that the value of x is 3.2 as it says input value is 3.2
we plug in x =3.2 in the equation
y = 2x -1
y = 2*3.2 -1
y = 6.4 -1
y = 5.4
So the value of y we get is 5.4
Answer = 5.4 (option D)