Answer:
(1/2), (3/2)
Step-by-step explanation:
midpoint fomula
(x1+x2)/ 2, (y1+y2)/2
(5-4)= 1 1/2 = (1/2)
(-1+4)=3 3/2=(3/2)
A : (x₁ , y₁) = (-4 , 4)
B : (x₂ , y₂) = (5 , -1)
Formula of [tex]\tt{midpoint}[/tex] is given by
◈ (x , y) = (x₂ + x₁)/2 , (y₂ + y₁)/2
_________________________________
⇒ (x , y) = (x₂ + x₁)/2 , (y₂ + y₁)/2
⇒ (x , y) = [5+(-4)]/2 , [-1+4]/2
⇒ (x , y) = 1/2 , 3/2
⇒ (x , y) = (0.5 , 1.5)The width of a rectangle is 1/2 of its length. What are the sides of the rectangle if its perimeter is 63 in.? pls help asap i will award brainliest
Answer:
[tex] \boxed{ \sf{length \: of \: a \: rectangle = 21 \: in.}}[/tex]
[tex] \boxed{ \sf{width \: of \: a \: rectangle = 10.5 \: in.}}[/tex]
Step-by-step explanation:
Let the length of a rectangle be ' l '
Width of a rectangle ( w ) = [tex] \sf{ \frac{1}{2} l}[/tex]
Perimeter of a rectangle ( P ) = 63 in.
First, finding the length of a rectangle ( l )
[tex] \boxed{ \sf{perimeter \: of \: a \: rectangle = 2(l + b)}} \:[/tex]
[tex] \dashrightarrow{ \sf{63 = 2(l + \frac{1}{2} l}})[/tex]
Distribute 2 through the parentheses
[tex] \dashrightarrow{ \sf{63 = 2l + 2 \times \frac{1}{2} l}}[/tex]
[tex] \dashrightarrow{ \sf{63 = 2l + l}}[/tex]
Add the like terms : 2l and 3l
[tex] \dashrightarrow{ \sf{63 = 3l}}[/tex]
Swap the sides of the equation
[tex] \dashrightarrow {\sf{3l = 63}}[/tex]
Divide both sides by 3
[tex] \dashrightarrow{ \sf{ \frac{3l}{3} = \frac{63}{3}}} [/tex]
Calculate
[tex] \dashrightarrow{ \sf{l = 21 \: in.}}[/tex]
Length of a rectangle = 21 in.
Now, replacing / substituting the value of l in 1/2 l in order to find the width of a rectangle
[tex] \dashrightarrow{ \sf{width = \frac{1}{2} l}}[/tex]
[tex] \dashrightarrow{ \sf{width = \frac{1}{2} \times 21}}[/tex]
[tex] \dashrightarrow{ \sf{width = 10.5 \: in.}}[/tex]
Width of a rectangle = 10.5 in.
Hope I helped!
Best regards! :D
y+z+ 2; use y=-6, and z = 5
Answer:
1
Step-by-step explanation:
y + z + 2
first you have to replace the variables with the numbers
This is your equation now.
-6 + 5 + 2
Now you just have to solve it.
-6 + 5 = -1 + 2 = 1
or
7 - 6 = 1
The mean of 6 numbers is 3 the median is 6. List the numbers
Answer:
Step-by-step explanation:
We have 6 numbers, the mean is the average of all 6, so adding all 6 numbers together and dividing by 6 will give you 3. Because of this we know the 6 numbers will have to add up to 18.
The median is the middle number, but we have an even number so the median is found by adding the 2 middle numbers and dividing by 2.
Because the mean is low, we can guess the first 2 numbers will be small, so let's try 1.
1 + 1 + _ + _ + _ + _
The remaining 4 numbers will have to add up to 16, and the next 2 numbers need to add up to 12. There would not be any possible combination where this would work. Now we know our first 2 numbers are too big.
Now we try 0.
0 + 0 + _ + _ + _ + _
Now our remaining 4 numbers neet to be 18, but the middle 2 need to add to 12 (so when we divide by 2 we get 6) so 0 is still too big!
-2 + -2 + _ + _ + _ + _
If we try -2 now the next 4 numbers need to add to 22, but that's still not going to work because 22-12 = 10 and the last 2 numbers have to be the same, or larger than the middle 2.
-3 + -3 + _ + _ + _ + _
With -3 then our total of the remaining 4 numbers needs to be 24 and 24-12 = 12 so this could be an option!
Our numbers could be:
-3, -3, 6, 6, 6, 6
Let's check:
-3 + -3 + 6 + 6 + 6 + 6 = 18 18/6 = 3 and our middle 2 numbers are 6 so our median would be 6.
If the numbers all have to be different we can come up with a different solution by making our first 2 numbers smaller.
-9, -5, 5, 7, 9, 11
Let's check
-9 + -5 + 5 + 7 + 9 + 11
-14 + 32 = 18 mean 18/6 = 3 median 5+7 = 12 and 12/2 = 6
So that could also work! There are actually many options that would be correct!
One of the set of numbers whose mean is 3 and median is 6 is 0, 1, 5, 7, 2 and 3.
What is Mean?Mean of a set of numbers is the average value of the numbers. Mean is calculated by taking the sum of the given numbers divided by the total number of numbers.
Let x₁, x₂, x₃, x₄, x₅ and x₆ be the six numbers.
We have mean = 3
⇒ (x₁ + x₂ + x₃ + x₄ + x₅ + x₆) / 6 = 3
⇒ x₁ + x₂ + x₃ + x₄ + x₅ + x₆ = 18
Median is the midpoint of the set of numbers arranged in ascending or descending orders.
If the number of set of numbers are odd, then median is the midpoint of the set and if the number of the set is even, then median is the average of the middle two elements.
Median = 6
Since there are 6 numbers here median = (x₃ + x₄) / 2
(x₃ + x₄) / 2 = 6
(x₃ + x₄) = 12
So x₁ + x₂ + x₅ + x₆ = 18 - 12 = 6
Lets just say x₁ = 0, x₂ = 1, x₅ = 2 and x₆ = 3, the sum of which equals 6.
Now, let x₃ = 5 and x₄ = 7, such that x₃ + x₄ = 12
So one of the set which satisfies the given conditions is x₁, x₂, x₃, x₄, x₅ and x₆ = 0, 1, 5, 7, 2 and 3 respectively.
Hence, one of the list of 6 numbers whose mean equals 3 and median equals 6 is 0, 1, 5, 7, 2 and 3.
To learn more about Mean, click:
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What is the inverse of the function f (x) = x2 - 49?
Answer: [tex]f^{-1}(x)=\sqrt{x+49}[/tex]
Step-by-step explanation:
To find the inverse of a function, you want to switch the x with y and y with x. After that, you solve for y.
y=x²-49 [switch x with y and y with x]
x=y²-49 [add both sides by 49]
x+49=y² [square root both sides]
[tex]y=\sqrt{x+49}[/tex]
Now, we know that [tex]f^{-1}(x)=\sqrt{x+49}[/tex].
How is adding and subtracting decimals similar to and different from adding and subtracting whole numbers?
Answer:
it is the answer here copy and paste
Step-by-step explanation:
adding and subtracting decimals are different from adding and subtracting whole number because of the values are not going to be the same any more.
extra; example 40.04 has hundredths and 4004 has hundreds.
Answer:
The answer is:
In both types of problems you rewrite the problem vertically, line up the decimals, and add zeros or rename where needed.
Step-by-step explanation:
Edge 2021
the ratio of the number of shaded sections to the number of unshaded sections is 4 to 2 what is the value of the ratio of the number of shaded pieces to the number of unshaded pieces
Answer:
erxytfgnb
Step-by-step explanation:
The formula d=rt is used to calculate the distance
an object travels over a period of time, t, at a
constant rate, r. Based on this formula, what is the
rate, r, in terms of d and t?
A) r = d/t
B)r = dt
C)r = t/d
D) r = r - t
Find the surface area of a square pyramid if the area of the base is 324 cm^2 and the height is 40 cm.
Answer:
Step-by-step explanation:
Yep!
100 POINTS!! ASAP - Plss SHOW WORK
Answer:
h ≈ 174.3 m
Step-by-step explanation:
Step 1: Define variables
∅ = 71°
b = 60 meters (horizontal leg of the triangle)
We are solving for height h (vertical leg of the triangle)
Step 2: Use Trig
tan∅ = opposite over adjacent
tan71° = h/60
Step 3: Evaluate
60tan71° = h
h = 174.253 m
h ≈ 174.3 m
Answer:
the height of the building is 174.3 m
Step-by-step explanation:
see attached image
height of building (h) = x tan Ф
where x = 60m
Ф = 71°
plugin values into the formula
h = 60 tan (71)
h = 174.3 m
therefore
the height of the building is 174.3 m
what place value are the 8s in 888,000?
Answer:
1,000
10,000
100,000
Step-by-step explanation:
what is the acceleration of the object in the graph?
-0.8 m/s^2
1.25 m/s^2
-1.25 m/s^2
-0.4 m/s^2
Answer:
-0.8 m/s^2
Step-by-step explanation:
Acceleration is the slope of the velocity curve. Here the velocity decreases from 12 m/s to zero in 15 seconds. So, the slope is ...
(-12 m/s)/(15 s) = -0.8 m/s^2
i’m stuck on this question
Answer:
See below
Step-by-step explanation:
So you are moving the decimal to the right, right?
This action would make the number bigger.
For this explanation I will use the example 7.2
So lets move the decimal 3 to the right.
You get 7200.
Now try dividing 7200 by 100 = 72
This did not get us the original # 7.2
Now lets divide 7200 by 1000 = 7.2
Now that we got the original #, switch the operation and multiply 7.2 by 1000
7.2 x 1000 = 7200
Answer = multiplying the number by 1,000
PLEASE HELP ME SOLVE THIS ASAP WITH WORK!!
Answer:
6
Step-by-step explanation:
If you multiply a number from the big polygon by 2/3s, you will get the corresponding number on the small polygon. For example, 6 × 2/3 = 4To find x, find the corresponding number on the big polygon and multiply it by 2/3s. The number on the big polygon is 9. 9 × 2/3 = 6I hope this helps!
which equation is equivalent to the given expression
[tex]x {}^{2} - 6x = 8[/tex]
A.
[tex](x - 3) {}^{2} = 17[/tex]
B.
[tex](x - 6) {}^{2} = 20[/tex]
C.
[tex](x - 3) {}^{2} = 14[/tex]
D.
[tex](x - 6) {}^{2} = 44[/tex]
Answer:
[tex](x - 3)^{2} = 17[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 6x = 8 \\ {x}^{2} - 6x + 9 = 8 + 9 \\ (x - 3)^{2} = 17[/tex]
!!!!25 POINTS HELP NOW PLEASE!!!! Emily and Hunter tracked the average temperature in their city for the past 8 days. They recorded their temperature findings in this list. 66°F, 57°F, 61°F, 65°F, 54°F, 62°F, 59°F, 56°F What is the mean absolute deviation of this data set? Enter your answer in the box.
is 3 2/3 a whole number is it an integer is it an irrational number is it a rational number
Where is √95 located on a number line?
Answer:
[See Below]
Step-by-step explanation:
✦ [tex]\sqrt{95} =9.74679434[/tex]
~Hope this helps Mate. If you need anything feel free to message me.
-I have included a number line as well...
-2x+3-(5-6x) simplify please
Answer:
4x-2
Step-by-step explanation:
First, distribute the minus sign.
-2x+3-(5-6x)
-2x+3+ -1(5)+ -1(-6x)
-2x+3+ (-5) + (6x)
-2x+3-5+6x
Next, combine like terms.
-2x+3-5+6x
(-2x+6x)+(3-5)
4x+(-2)
4x-2
Answer:
4x - 2
Step-by-step explanation:
-2x + 3 - -5 + 6x ( First distribute the parenthess and apply minus-plus rules making it -2x+3-5+6x )
-2x + 6x + 3 - 5 ( Group the equation like this putting like terms together)
4x + 3-5 ( From there add -2x and 6x- like terms to get 4x)
4x -2( After that subtract 3-5 ad the answer is -2)
THE FINAL ANSWER BECOMES 4x - 2
HOPE IT HELPED
A grid that represents 1 whole , what would you shade for 0.4 and 0.04? 100 squares in rows of 10.
Select all the statements that are true.
π is irrational because π is a repeating decimal.
7√ is irrational because 7 is not a perfect square.
7.1234… is irrational because it is a nonterminating, nonrepeating decimal.
7√ is rational because 7 is not a perfect square.
π is irrational because π is not a repeating decimal.
The true statements are,
π is irrational because π is a repeating decimal.
7√ is irrational because 7 is not a perfect square.
7.1234… is irrational because it is a nonterminating, nonrepeating decimal.
7√ is rational because 7 is not a perfect square.
What are irrational numbers?Irrational number are real numbers that cannot be expressed as a ratio of two integers.
When an irrational number is expressed in decimal form, it goes on forever without repeating.square roots like √2 ,√3, √5.. are irrational number.Now we have,
→π is irrational because π is a repeating decimal.
Since, the value of π is called as infinite decimal-after the decimal point the digits go on forever and repeating.
Hence π is irrational.
⇒This statement is true.
→√7 is irrational because 7 is not a perfect square.
Since, 7 is a prime number this means 7 is without its pair and is not in the power of 2.
Therefore,√7 is irrational
⇒This statement is true.
→7.1234… is irrational because it is a non terminating, non repeating decimal.
Since,the value of decimal in 7.1234… goes on forever and repeating.
Therefore,7.1234… is irrational.
⇒This statement is true.
→√7 is rational because 7 is not a perfect square.
Since, 7 is a prime number this means 7 is without its pair and is not in the power of 2.
Therefore,√7 is irrational
⇒This statement is true.
→π is irrational because π is not a repeating decimal.
π is irrational because the value of π is called as infinite decimal-after the decimal point the digits go on forever and repeating.
⇒This statement is false.
More about irrational numbers :
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POSSIBLE POINTS
Sarah is making hairbows for 6 friends. She needs 1 yards of ribbon for each hairbow. How many total yards of ribbion will she use?
Answer:
6 yards
Step-by-step explanation:
she need 1 yard of ribbon for each hairbow and 6 friends to make them for
At the end of the day a bakery has9/10 of a pie left over. The employees decide to split the leftovers equally in each takes home 1/10 of the pie how many employees were at the bakery
Answer:
9 people
Step-by-step explanation:
9 pieces of the 10 pieces of pie were left. If all 9 of those are gone and each took 1, there were 9 employees.
(-1,-2) (2,7) in slope intercept form
I hope it will help you :)
Victor is selling lemonade to raise money for his school. The amount of money collected from his sales each day is summarized in the plot box below. What is the interquartile range of the data
Answer:
7
Step-by-step explanation:
Just put it
Answer:
7
Step-by-step explanation:
Did it in I ready
What is -945 x -56? i will mark brainliest if its right!
Answer:
52,920
Step-by-step explanation:
Answer:
52,920^^
Step-by-step explanation:
brains plss
A ____ is written as an if-then statement A.conjecture B.counterexample C.conditional D.negation
Answer: C
Definition of a conditional:
A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is called the hypothesis and Q is called the conclusion. Intuitively, “If P then Q” means that Q must be true whenever P is true.
I don’t know how to do it can someone help me?
Answer:f(g(0))= 1/5
g(f(0))= 7
Step-by-step explanation:
for f(g(0))=you solve for g(x) but you plug in 0 for x so g(0)= 8(0)+3
=3
so now you plug in the answer of the function of g(x) witch is 3 and plug it in as the x for F(x) so f(3)= 1/(3)+2
= 1/5
so f(g(0)) is equal to 1/5
Now for G(f(0)) you solve for f(x) by pluging 0 for x so F(0)= 1/(0)+2
=1/2
now you plug in 1/2 for the x of g(x) so g(1/2)= 8(1/2)+3
= 4+3
=7
so g(f(0)) is equal to 7
Hope this helps:)
Rewrite the following improper fraction as a decimal 15/2
Answer:
7.5
Step-by-step explanation:
Answer:
7.5
Step-by-step explanation:
all you need to do is divide 15 by 2
C is the midpoint of BD. If BC = 6x and BD = 13x - 6, what is BD?
B.
6x
с
D
13x - 6
Answer:
BD = 72
Step-by-step explanation:
C is the midpoint of BD.
Therefore,
BD = 2BC
13x - 6 = 2*6x
13x - 6 = 12x
13x - 12x = 6
x = 6
BD = 2*6X = 12*6= 72
Perpendicular lines AB and CD intersect at point E. If m ZAED = x+ 20, what is the value of ?
160
110
90
70
Answer: the value would be 90
Step-by-step explanation: