Answer:
1 unit
Step-by-step explanation:
If point J is the midpoint of segment FG with endpoints F(1,4) and G(5,12), then its coordinates are
[tex]x_J=\dfrac{x_F+x_G}{2}=\dfrac{1+5}{2}=3\\ \\y_J=\dfrac{y_F+y_G}{2}=\dfrac{4+12}{2}=8[/tex]
If point K is the midpoint of segment GH with endpoints G(5,12) and H(-1,4), then its coordinates are
[tex]x_K=\dfrac{x_G+x_H}{2}=\dfrac{5+(-1)}{2}=2\\ \\y_K=\dfrac{y_G+y_H}{2}=\dfrac{12+4}{2}=8[/tex]
The measure of JK is
[tex]JK=\sqrt{(3-2)^2+(8-8)^2}=\sqrt{1^2+0^2}=1\ unit[/tex]
Given the coordinates of their endpoints, you find that the points of interest, J and K, have coordinates J(3,8) and K(2,8), respectively. You can then apply the distance formula to find the distance between these two points, resulting in 1.
Explanation:To find the distance between two points, we can apply the distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2).
Given that J is the midpoint of FG, the coordinates of J can be found using the midpoint formula ((x1 + x2) / 2, (y1 + y2) / 2). By applying this formula, we find that J = ((1 + 5) / 2, (4 + 12) / 2) = (3,8).
Similarly, the coordinates of K, as the midpoint of GH, are K = ((5 + (-1)) / 2, (12 + 4) / 2) = (2,8).
Now we can plug the coordinates of J and K into the distance formula to find JK: d = sqrt((x2 - x1)^2 + (y2 - y1)^2) = sqrt((2 - 3)^2 + (8 - 8)^2) = sqrt((1)^2 + 0) = sqrt(1) = 1.
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HELP ITS DUE TOMORROW
The area of a circle can be found using this formula: A = πr²
A = area
π = 3.14
r = radius (half of diameter)
A = (3.14)(12.5)^2
A = (3.14)(156.25)
A = 490.63
Will give brainliest The expression to find the perimeter of a rectangle is 2(length + width). What is the perimeter, in units, of a rectangle of length fraction 1 over 3 unit and width fraction 1 over 2 unit? (1 point) fraction 2 over 5 unit fraction 4 over 5 unit fraction 1 and 1 over 3 units fraction 1 and 2 over 3 units
Answer:
Option fraction 1 and 2 over 3 units is correct
Therefore [tex]Perimeter of a rectangle=1\frac{2}{3}[/tex]units
Step-by-step explanation:
Given rectangle of length is fraction 1 over 3 units and width is fraction 1 over 2 units
It can be written as [tex]l=\frac{1}{3}[/tex]units and [tex]w=\frac{1}{2}[/tex]units
To find the perimeter of a rectangle :
Perimeter of a rectangle=2(l+w)
Substitute the values of [tex]l=\frac{1}{3}[/tex]units and [tex]w=\frac{1}{2}[/tex]units in the above formula we get
[tex]Perimeter of a rectangle=2(\frac{1}{3}+\frac{1}{2})[/tex]
[tex]=2(\frac{1(2)+1(3)}{6})[/tex]
[tex]=2(\frac{2+3}{6})[/tex]
[tex]=\frac{5}{3}[/tex]
[tex]=1\frac{2}{3}[/tex]
Therefore [tex]Perimeter of a rectangle=1\frac{2}{3}[/tex]
Therefore option fraction 1 and 2 over 3 units is correct
Answer:
Option fraction 1 and 2 over 3 units
Step-by-step explanation:
x + 3 + x - 8 + x = 55
Answer:
x = 20
Step-by-step explanation:
Combine like terms
3x-5=55
Add the 4 on both sides
3x-5=55
+5 +5
3x=60
Divide both sides by 3
x = 20
Which ordered pair is a solution of the equation? y=7x-2
Answer:
(1, 5 )
Step-by-step explanation:
To obtain a solution, substitute any value for x into the equation and solve for y, that is
x = 1 → y = 7(1) - 2 = 7 - 2 = 5 → (1, 5 )
x = - 1 → y = 7(- 1) - 2 = - 7 - 2 = - 9 → (- 1, - 9 ) is also a solution
I am in the middle of a test! Will give brainliest and 30 points!!!!
It’s a circle has a circumference of a 28 Π centimeters (cm) then what is it’s area in centimeters squared?
Answer:
3.14 x 4.46^2= 62.39 square centimeters
Step-by-step explanation:
Of 98 bikes 37 are mountain bikes. How many are not
Answer:
61 bikes are regular the other 37 are moutain bikes.
Step-by-step explanation:
can i have brainliest
Answer:
61 bikes are not mountain bikes.
Step-by-step explanation:
To figure this out you have to simply subtract the amount of mountain bikes from the total amount of bikes.
98 - 37 = 61
Now you know that 61 of the bikes are not mountain bikes.
I hope this helped! :)
~CaityConcerto
Emilio borrows $1200 from a bank with 8% simple interest per year. How much will he have to pay back total in 2 years?
Answer:
Step-by-step explanation:
1200÷2=600
Is 3 a solution of 2n - 6 = 5n - 15
Answer: Yes
Step-by-step explanation: Here, we want to decide if 3 is a solution for the equation 2n - 6 = 5n - 15. We can do this by simply plugging in 3 for n. If the statement holds true when 3 is plugged in for n, then 3 is a solution.
Plugging in 3 for n, we have 2(3) - 6 = 5(3) - 15.
2(3) is equal to 6 and if we subtract 6 we get 0.
On the right side, 5(3) is equal to 15 and if we subtract 15 we get 0.
0 = 0 is a true statement so yes,
3 is a solution for the equation 2n - 6 = 5n - 15
What is the steps for solving 3x-10=84 and tell me what x equals
Answer:
Step-by-step explanation:
you move the -10 to the other side of the equation
3x=84+10
3x=94
x=31 1/3
Answer:
Your goal is to get x by itself
3x-10=84
First you want to add 10 to each side
3x=94 (-10+10=0, 84+10=94)
Last step is divide each side by 3
x= 31 and 1/3 or 94/3
Hope this helps ;)
Help! Give me the answer. I'll give the BRAINLIEST
hi, i cant see the question :(
Is 3/x+4/y=2 linear or non-linear
The given equation is non-linear.
Solution:
Given expression is [tex]\frac{3}{x} +\frac{4}{y} =2[/tex].
To find the equation is linear or non-linear.
Linear equation is a straight line which is in the form ax + by + c = 0.
Otherwise it is non-linear equation.
⇒ [tex]\frac{3}{x} +\frac{4}{y} =2[/tex]
Do cross multiply for the fractions to make the denominators same.
⇒ [tex]\frac{3y}{yx} +\frac{4x}{yx} =2[/tex]
⇒ [tex]\frac{3y+4x}{yx} =2[/tex]
Do cross multiplication.
⇒ [tex]3y+4x=2yx[/tex]
⇒ [tex]4x+3y-2yx=0[/tex]
Here, there is no constant term.
So, the equation is not a straight line.
Hence, the given equation is non-linear.
Which expression is equivalent to (−2)x + (−6)x?
A) −8x
B) −4x
C) 4x
D) 8x
Can you tell which of the following triangles are right and explain
your answer? The numbers represent the lengths of the sides:
9, 12, 15
can someone please help with this.
The statement is not reversible.
A reversible statement is one where the implication goes both ways. In simpler terms, if the statement is true, its converse (reversing the hypothesis and conclusion) must also be true, and vice versa.
The statement is: "If (x=3) then (x²=9)". The converse, "If (x² = 9) then (x = 3)" is not always true. For example, if x = -3, then x² is also 9.
A biconditional statement is true if and only if both the statement and its converse are true. Because the converse of the original statement is not always true, the biconditional statement " (x = 3) if and only if (x² = 9)" is also not true.
To estimate the annual salary for a given hourly pay rate, multiply by 2 and insert “000” at the end.
Sample: $10 per hour is about $20,000 per year.
Explain why this works. Assume the person is working 40 hours a week:
Answer:20000
Step-by-step explanation:
He must have worked for 50 weeks in that year.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: hourly rate=10/hr and annual rate is $20000 and he worked 40 hours per week
Thus in a week he earns 40×10=$400
let the person work for x weeks then we have the equation
400×x=20000
x=50 weeks
Hence, He must have worked for 50 weeks in that year.
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solve -15=3/7b ''''''''''''''''''''''''''''''''
Answer:
Therefore,
[tex]b=-35[/tex]
Step-by-step explanation:
Solve:
[tex]-15=\dfrac{3}{7}b[/tex]
To Find:
b = ?
Solution:
[tex]-15=\dfrac{3}{7}b[/tex] ..............Given
Step 1 .Multiply Both the side by 7 we get
[tex]-15\times 7=7\times \dfrac{3}{7}b\\\\-105=3b[/tex]
Step 2. Divide Both the side by 3 we get
[tex]\dfrac{-105}{3}=\dfrac{3b}{3}\\\\-35=b\\b=-35[/tex]
Therefore,
[tex]b=-35[/tex]
16. Which point is the reflection of (-3, -2)
over the x-axis?
A. (-3,-2)
B. (3, -2)
C. (-3,2)
D. (3, 2)
Which system of equations has exactly one solution? 2 x - 4 y = 8. x + y = 7. 3 x + y = - 1. 6 x + 2 y = - 2. 3 x + 3 y = 3. -6 x -6 y = 3. 3 x - 2 y = 4. - 3 x + 2 y = 4.
Answer:
A) is the correct answer (6,1)
Step-by-step explanation:
can someone answer this with work :)
Answer:
A15+B10=cents
Step-by-step explanation:
What is 5 times 30 I don’t know
Answer:
150
Step-by-step explanation:
5*30=150
Start by multiplying 5*3, which is 15 then add the 0 back on. =150
Answer:
5 * 30 = 150
Step-by-step explanation:
5 * 30 = 5 * 3 * 10 = 15 * 10 = 150
Sharmaine works 30 hours at an exclusive restaurant. She earns
$3.50 per hour plus tips. In one week, she earned $1,250.00 in tips. What was Sharmaine’s total income?
Answer:
Sharmaine had an income of US$ 1,355 that week.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Hours per week Sharmaine works at an exclusive restaurant = 30
Salary of Sharmaine = US$ 3.50 per hour + tips
Tips of the week = US$ 1,250
2. What was Sharmaine’s total income?
Total income = Tips + Rate per hour
Total income = 1,250 + (3.5 * 30)
Total income = 1,250 + 105
Total income = 1,355
Sharmaine earned $105.00 from her hourly job and $1,250.00 in tips, making her total income $1,355.00 for the week.
Explanation:The student asked about Sharmaine's total income for a week. Sharmaine earns an hourly wage plus tips at a restaurant. To calculate her total income, we need to add her earnings from her hourly rate to her earnings from tips.
First, we determine her earnings from her hourly wage. She works 30 hours at $3.50 per hour. So, her income from her hourly wage is 30 hours × $3.50/hour = $105.00.
Next, we add her earnings from tips. Sharmaine earned $1,250.00 in tips for the week.
Her total income for the week is her hourly earnings plus her tips: $105.00 (hourly earnings) + $1,250.00 (tips) = $1,355.00.
Therefore, Sharmaine's total income for that week is $1,355.00.
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use the formula f=9/5c+32 to convert -20 degrees f
Answer:
c ≈ -29°
Step-by-step explanation:
To convert Fahrenheit to Celsius using the formula, substitute the degrees for Fahrenheit "f", then isolate Celsius "c".
f = [tex]\frac{9}{5}c[/tex] + 32
-20 = [tex]\frac{9}{5}c[/tex] + 32 Substitute "f" for -20
-20 - 32 = [tex]\frac{9}{5}c[/tex] + 32 - 32 Subtract 32 from both sides
-20 - 32 = [tex]\frac{9}{5}c[/tex] +32-32 cancels out to 0. Simplify left side
-52 = [tex]\frac{9}{5}c[/tex]
-52/[tex]\frac{9}{5}[/tex] = [tex]\frac{9}{5}c/\frac{9}{5}[/tex] Divide by 9/5 on both sides
-52/[tex]\frac{9}{5}[/tex] = c
-52[tex]*\frac{5}{9}[/tex] = c When dividing a fraction, flip the fraction and change to multiplication
[tex]\frac{-52*5}{9}[/tex] = c Multiply by combining into the numerator
[tex]\frac{-260}{9}[/tex] = c Use a calculator
c = -28.8888888889°
c ≈ -29° Round to the nearest degrees
Therefore -20°F is about -29°C.
What is negative 1/4 to the 3rd power
Answer:
-1/64
Step-by-step explanation:
Just do 4 to the 3rd and make that the denominator
4^3 = 64
-1 / 64
How many solutions does this system have? y = 3/4x - 5. - 3 x + 4 y = - 20.
Answer:
infinite
Step-by-step explanation:
Wills,Donald, and Maya found a quarter, a dime, a nickel, and 2 pennies when they were cleaning the house. They traded their dad for some other coins that were worth the same amount of money and split it evenly. How much did they get
The stadium has a form of a rectangle with two semicircles attached to the short sides. The long side of a rectangle is 2 times longer than the short one. Construct the expression for the area of the stadium in terms of x, where x denotes a shorter side of the rectangle
Answer: [tex]2x^2+\frac{\pi x^2}{4}[/tex]
Step-by-step explanation:
The area of a rectangle can be calculated with this formula:
[tex]A_r=lw[/tex]
Where "l" is the lenght and "w" is the width.
The area of a semi-circle can be found with this formula:
[tex]A_{sc}=\frac{\pi r^2}{2}[/tex]
Where "r" is the radius.
Let be "x" the shorter side of the rectangle (which is also the diameter of the semi-circle).
Based on the information given in the exercise, you know that:
[tex]w=x\\\\l=2x[/tex]
Since the radius is half the diameter:
[tex]r=\frac{x}{2}[/tex]
Observe the figure attached, which shows the stadium.
The area of the stadium is the sum of the areas of the semi-cirlcles and the rectangle.
Therefore, you can construct the following expression for the area of the stadium is terms of "x":
[tex](2x)(x)+\frac{\pi (\frac{x}{2})^2}{2}+\frac{\pi (\frac{x}{2})^2}{2}[/tex]
Simplifying it, you get:
[tex](2x)(x)+\frac{\frac{\pi x^2}{4}}{2}+\frac{\frac{\pi x^2}{4}}{2}=2x^2+\frac{\pi x^2}{4}[/tex]
The expression for the area of the stadium in terms of x is 2x^2 + πx^2/4.
Explanation:The area of the stadium can be calculated by first finding the area of the rectangle and then adding the areas of the two semicircles. The long side of the rectangle is 2 times longer than the short side, so the dimensions of the rectangle are x for the short side and 2x for the long side. Therefore, the area of the rectangle is A = x * 2x = 2x^2. The formula for the area of a semicircle is A = πr^2/2, where r is the radius of the semicircle. In this case, the radius is x/2 since it is half of the short side of the rectangle. So, the area of one semicircle is π(x/2)^2/2 = πx^2/8. Since there are two semicircles, the total area of the semicircles is 2 * (πx^2/8) = πx^2/4.
Adding the area of the rectangle and the area of the semicircles, we get the expression for the total area of the stadium: A = 2x^2 + πx^2/4.
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Julie and her brother go to Atlanta to ride the SkyView Ferris wheel. It measures 200 feet in diameter.
A)I want to know the distance around the Ferris Wheel. Would I use Circumference or Area?
B)What is the formula needed to solve this problem?Look in your notes!
C)What is the distance traveled in one rotation? Explain how you used the formula to solve the problem.
The distance around the wheel is 628 feet and distance traveled in one rotation is equal to 628 feet
Solution:
Julie and her brother go to Atlanta to ride the SkyView Ferris wheel.
It measures 200 feet in diameter
Diameter = 200 feet
We know that diameter is twice of radius
[tex]diameter = 2 \times radius\\\\200 = 2 \times radius\\\\radius = \frac{200}{2}\\\\radius = 100[/tex]
Thus radius of wheel is 100 feet
The distance around the ferris wheel is the circumference of wheel
Since, wheel is of circular shape, we can use circumference of circle formula
The circumference of circle is given as:
[tex]C = 2 \pi r[/tex]
Where "r" is the radius and [tex]\pi[/tex] is a constant equal to 3.14
Substitute r = 100 we get,
[tex]C = 2 \times 3.14 \times 100 = 628[/tex]
Thus distance around the wheel is 628 feet
Distance traveled in one rotation = circumference of wheel
The distance traveled in one rotation is equal to 628 feet
Solve the linear equation for y. -5x+y=7
Answer:
5x+7
Step-by-step explanation:
Name two number that are not integers but that are opposite. Explain how you know
Answer:
Decimals, fractions and mixed units are not integers.
Step-by-step explanation:
Final answer:
Opposite non-integer numbers are pairs like 1/2 and -1/2 or 3.5 and -3.5. These pairs are not integers due to their fractional parts, yet they add up to zero, confirming they are opposites.
Explanation:
When we refer to numbers that are not integers but are opposites, we are seeking pairs of numbers whose sum is zero. Integers are whole numbers such as -1, 0, and 1, which do not include fractions or decimals. On the other hand, rational numbers are ratios of integers like 2/1 or 3/4, and these can be non-integers.
Consider the rational numbers 1/2 and -1/2; these are opposite numbers because they add up to zero. Similarly, another pair could be 3.5 (which is the same as 7/2) and -3.5 (or -7/2). These numbers are not integers because they have fractional parts, yet they are opposites because their sum is zero.
In both cases, these pairs demonstrate the mathematical property that when a number is added to its opposite, the result is always zero, which is a fundamental aspect of additive inverses. This is how we can verify that 1/2 and -1/2, as well as 3.5 and -3.5, are non-integer opposites.
20 is 22% of what number
40
50
75
100
Answer: D. 100
Step-by-step explanation: