Answer:
(4,11)Step-by-step explanation:
Given two coordinates (x₁, y₁) and (x₂,y₂), the midpoint of the coordinates is expressed as M(X,Y) = [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex] where;
[tex]X = \dfrac{x_1+x_2}{2}\ and \ Y = \dfrac{y_1+y_2}{2}[/tex]
Given the midpoint (X, Y) = (1,6) and one end point to be (-2,1), to get the unknown endpoint (x,y), we will apply the formula above. from the coordinates given X = 1, Y = 6, x₁ = -2 and y₁ = 1
[tex]Given \ X = \dfrac{x_1+x_2}{2}\\1 = \dfrac{-2+x}{2}\\cross \ multiply\\2 = -2+x\\x = 2+2\\x = 4[/tex]
Similarly to get y;
[tex]Given \ Y = \dfrac{y_1+y}{2}\\6 = \dfrac{1+y}{2}\\cross \ multiply\\2*6 = 1+y\\12 = 1+y\\y = 12-1\\y = 11[/tex]
Hence the unknown endpoint (x,y) is (4,11)
The selling price of an article becomes 27/25 times the listed price due to the inclusion of sales tax. find the rate sales tax.
Answer:
8%
Step-by-step explanation:
If you subtract 1 times the original cost, the result is the tax rate:
27/25 - 1 = tax rate = (27 -25)/25 = 2/25 = 8/100 = 8%
The tax rate is 8%.
18. Identify the inverse function of
Answer:
[tex]\huge\boxed{D) \ f^{-1}(x) = (x-3)^2+2}[/tex]
Step-by-step explanation:
[tex]f(x) = \sqrt{x-2} + 3[/tex]
Replace f(x) by y
[tex]y = \sqrt{x-2} + 3[/tex]
Interchange x and y
[tex]x = \sqrt{y-2} + 3[/tex]
Solve for y
[tex]x = \sqrt{y-2} + 3[/tex]
Subtracting 3 to both sides
[tex]x - 3 = \sqrt{y-2}[/tex]
Taking square on both sides
[tex](x-3)^2 = y-2[/tex]
Adding 2 to both sides
[tex]y = (x-3)^2 + 2[/tex]
Replace [tex]y = f^{-1}(x)[/tex]
[tex]f^{-1}(x) = (x-3)^2+2[/tex]
A square has an area of 172 ftLaTeX: ^22 . What is the approximate length of each side of the square to the nearest tenth?
Answer:
13.1 feetStep-by-step explanation:
Area of a square = Length * Length
A = L²
Given the area of a square to be 172ft², to get the approximate length of each side of the square, we will substitute the area given into the formula above and calculate the value of L as shown;
[tex]A = L^2\\\\172 = L^2\\\\L^2 = 172\\\\[/tex]
take the square root of both sides;
[tex]\sqrt{L^2} = \sqrt{172} \\\\L = \sqrt{172} \\\\L = 13.11 ft\\\\L \approx 13.1ft[/tex]
Hence the approximate length of each side of the square to the nearest tenth is 13.1 feet
Which value of a from the set (16,18,20,22) makes the equation 2(42-a)=48 true
Steps to solve:
2(42 - a) = 48
~Distribute left side
84 - 2a = 48
~Subtract 84 to both sides
-2a = -36
~Divide -2 to both sides
a = 18
Best of Luck!
Jack is given an ice cream. It is equally likely that he is given a chocolate,vanilla or strawberry flavour
an image please because there is nothing explainign what you need
Use the interactive to solve the following problems:
What is the difference between -12 and -5?
What is the distance between -12 and -7 on a number
line?
units
Answer:
Use the interactive to solve the following problems:
What is the difference between –12 and –5?
✔ -7
What is the distance between –12 and –7 on a number line?
✔ 5
units
Step-by-step explanation:
The difference between -12 and -5 is 7.
The distance between -12 and -7 on a number line is 5 units.
What is a number line?""
1. The difference between -12 and -5 is
= (- 5) - (- 12)
= - 5 + 12
= 7
2. The distance between -12 and -7 on a number line is
= [(- 7) - (- 12)] units
= (- 7 + 12) units
= 5 units
Learn more about a number line here: https://brainly.com/question/13189025
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Please help with geometry ASAP
Answer:
≈ 0.39
Step-by-step explanation:
Area of circle:
S = πr² = π4² ≈ 50.27 cm²Area of triangle:
S = 1/2bh = 1/2*2*3 *(4+2.5) = 19.5 cm²Probability of the point within red shaded area:
P = 19.5/50.27 ≈ 0.39The last time Todd check,his dog weighed 10 kilograms. Todd just measures his dog again and found out that it weighs 10% less now how much does the dog weigh now
Answer:
9 kilograms
Step-by-step explanation:
Find the equation of a line in parallel to y=2x + 8 that passes through the point (4, 4).
) Simplify.
| – 15 – (-5)
Answer:
-9
Step-by-step explanation:
1−15−(−5)
−14−(−5)
−9
Answer:
-15-(-5)
= - 15 +5 (Multiplying - and - we get a plus(+))
=-10 ( - stg + stg means to subtract and since 15 is greater than 5 and it's sign is - we should keep that)
The square root of 19 is an irrational number between 4 and 5.
1. How do you know it's irrational?
2. How do you know it's between 4 and 5?
Sam is 3 times older than her brother, Owen. In 5 years, Sam will be twice as old as Owen. How old are they now?
Answer:
Sam is 15; Owen is 5.
Step-by-step explanation:
Let s denote Sam's age and let o denote Owen's age.
So, Sam is three times older than Owen. Thus:
[tex]s=3o[/tex]
In 5 years, Sam will be twice as old as Owen. In other words, Sam's current age plus 5 years will be Owen's current age plus five years times 2. Thus:
[tex]s+5=2(o+5)[/tex]
We have a system of equations. Solve for substituting the first equation into the second. Thus:
[tex]3o+5=2(o+5)[/tex]
Distribute the right:
[tex]3o+5=2o+10[/tex]
Subtract 2o from both sides:
[tex]o+5=10[/tex]
Subtract 5 from both sides:
[tex]o=5[/tex]
So, Owen is currently 5 years old.
Sam is 3 times older than Owen, so Sam is 15 years old.
And we're done :)
evaluate the function for f(2)
f(t) =-t - 5; find f(2)
Answer:
[tex]f(2)=-7[/tex]
Step-by-step explanation:
So we have the function:
[tex]f(t)=-t-5[/tex]
To find f(2), substitute 2 for t. Thus:
[tex]f(2)=-2-5[/tex]
Subtract:
[tex]f(2)=-7[/tex]
And, we're done!
You are building a shelf that fits in a corner. In the figure, the entire shelf is △XYZ. Each unit in the coordinate plane represents one inch.
Complete Question: You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represents one inch find the area of the shelf.
Answer:
112.5 units²
Step-by-step explanation:
Area of the shelf = ½*base*height.
The base is the distance between Z(0, 5) and Y(15, 5)
The height is the distance between X(15, 20) and Y(15, 5).
Therefore area of the shelf = ½*ZY*XY
Use the distance formula to find ZY and XY.
Distance between Z(0, 5) and Y(15, 5):
[tex] ZY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] Z(0, 5) = (x_1, y_1) [/tex]
[tex] Y(15, 5) = (x_2, y_2) [/tex]
[tex] ZY = \sqrt{(15 - 0)^2 + (5 - 5)^2} [/tex]
[tex] AB = \sqrt{(15)^2 + (0)^2} [/tex]
[tex] AB = \sqrt{225 + 0} = \sqrt{225} [/tex]
[tex] AB = 15 [/tex]
Distance between X(15, 20) and Y(15, 5):
[tex] XY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] X(15, 20) = (x_1, y_1) [/tex]
[tex] Y(15, 5) = (x_2, y_2) [/tex]
[tex] XY = \sqrt{(15 - 15)^2 + (5 - 20)^2} [/tex]
[tex] XY = \sqrt{(0)^2 + (-15)^2} [/tex]
[tex] XY = \sqrt{0 + 225} = \sqrt{225} [/tex]
[tex] XY = 15 [/tex]
Area of shelf = ½*15*15 = ½*225 = 112.5 units²
3(2x+3)-4(3x-6)=16 show and explain.
Answer:
x = 17/6
Step-by-step explanation:
First of all remove parenthesis by using distribution
6x + 9 - 12x + 24 = 16
Then collect all like terms
-6x + 33 = 16
After that move the constant to the right
- 6x = 16 - 33
Calculate 16 - 33
-6x = -17
Divide both sides
x = 17/6
Hope this helps!
3(n-9)-2(n+4)=6n What is the solution
Answer:
3(n-9)-2(n+4)=6n
3n-27-2n-8=6n
n-35=6n
-35=5n
n= -7
Step-by-step explanation:
3(n-9)-2(n+4)=6n
open the brackets by multiplication
3n-27-2n-8= 6n
n-35=6n
35=-5nn=-7
A new car is purchased for 22400 dollars. The value of the car depreciates at 11% per year. To the nearest tenth of a year , how long will it be until the value of the car is 5000 dollars?
Answer:
t= 12.9 years
Step-by-step explanation:
Value after t years = initial value ( 1 - r )^t
Where,
Value after t years= $5000
Initial value = $22,400
r= depreciation rate = 11%
t= length of time (years)
Value after t years = initial value ( 1 - r )^t
5000 = 22,400 ( 1 - 0.11)^t
5000 = 22,400(0.89)^t
Divide both sides by 22,400
(0.89)^t = 5000 / 22,400
(0.89)^t = 0.2232
Take the log of both sides
t log 0.89 = log 0.2232
t= log 0.2232 / log 0.89
= -0.6513 / -0.0506
= 12.87
t= 12.9 years
Simplify radical -81
Step-by-step explanation:
-81
[tex] \sqrt{ - 1} \: \times \sqrt{81} [/tex]
[tex] \sqrt{ - 1} = i [/tex]
[tex]i \times \sqrt{9 {}^{2} } [/tex]
[tex]i \times 9[/tex]
[tex]9i[/tex]
Write the following sentence using mathematical symbols. Twice x, plus 8 , is the same as -14 .
Answer:
2x + 8 = -14
Step-by-step explanation:
Twice x, plus 8 , is the same as -14.
2x + 8 = -14
Answer:
2x + 8 = -14
Step-by-step explanation
Because twice is 2 times and then you plus 8 i the same as -14
so 2 times= 2x then +8 so altoghther is 2x+8 and it says it's the same as -14
so the answer is 2x+8= -14
Brainly please!
Write the following set using roster notation. Do not include repeats.
C is the set of colors in a U.S. flag.
Answer:
Step-by-step explanation:C
The symbols "<" and ">" are called
Answer:
< is less than
> is greater than
Step-by-step explanation:
< is less than
> is greater than
What is the solution the equation 1/4x +2= -5/8x-5
Answer:
-8
Step-by-step explanation:
I've taken a picture of the way I solved the equation.
Mr. Lowe is setting up his room for art class. He has 6 boxes of crayons with 24 crayons each, 3 packages of pencils with 20 pencils each, and 9 packages of paint brushes with 15 brushes each. What is the difference between the total number of crayons and the total number of paint brushes?
so first we need to find the total number of crayons
to do that we're going to multiply 6 by 24 cause each box has 24 crayons
24 × 6 = 144
so the answer of total number of crayons is 144 crayons
next we're going to find the total number of paint brushes
to do that we're going to multiply 9 by 15 cause each package has 15 paint brushes
9 × 15 = 135
so the answer of total number of paint brushes is 135 crayons
finally we're going to calculate the difference
so its 144 crayons subtracted by 135 paint brushes
144 - 135 = 9
so the difference of total number of crayons and total number of paint brushes is 9
hope that helped :))
The difference between the crayons and the paintbrush the total. I just see which one is greater
plz help really. -4c - 9.6 + 5c = 0
Answer:
c= 48/5
Step-by-step explanation:
Need help with the question attached ASAP. Will give 5 stars & brainliest!
if sum of any two angles 90 then they are called complementary
A +B =90 let the complement of A is B
4x+2 +B =90
B= 90-4x-2
B = 88-4x
complementary angle = B = 88-4x
♡Hope it helps♡
Malik borrowed $105 from his brother and plans to repay $12 per week. He creates a table to help him determine the
number of weeks it will take to repay his brother. How many weeks will it take Malik to repay his brother?
( 5
9
оооо
10
11
Mark this and return
Save and Exit
Next
Submit
Answer:
9 weeks
Step-by-step explanation:
$12 times 8 weeks =$96. Since that is not enough to pay him back you have to add one more week $12 times 9 weeks to get $108.
in geometry, you can use deductive rules to
A. find patterns
B. define terms
C. make conjectures
D. prove conjectures
If a-b is true and b-c is true,
then a-c is true.
A. A syllogism
B.A converse statement
C.An inverse statement
D. A contrapositive statement
Answer:
A. A syllogism
Step-by-step explanation:
The other 3 make no sense in this scenario, also I am in middle school make me brainlyest
Answer:
A syllogism.
Step-by-step explanation:
Note the 2 'middle' element b are the same.
Solve for x: 4(x + 2) = 3(x - 2)
-2
-4
-10
-14
Answer:
x=-14
Step-by-step explanation:
A student can read 7 pages of a book in 10 minutes how many pages of the book can the student read in 30 minutes
Answer:
210 pages
Step-by-step explanation:
7 pages = 10 minutes
A pages = 30 minutes
A = 210 pages
The student read 21 pages in 30 minutes if the student can read 7 pages of a book in 10 minutes.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
A student can read 7 pages of a book in 10 minutes.
Let's suppose the student read x number of pages in 30 minutes.
Mathematically,
7 pages → 10 minutes
x pages → 30 minutes
7/x = 10/30
7/x = 1/3
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
x = 7×3
x = 21 pages
Thus, the student read 21 pages in 30 minutes if the student can read 7 pages of a book in 10 minutes.
Learn more about the fraction here:
brainly.com/question/1301963
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