Answer:
36
Step-by-step explanation:
Evaluate P(3, 3)
A. 1
B. 9
C. 6
Answer:
6
Step-by-Step explanation:
P (n,k) where n=k is equal to n!
So, P (3,3) = 3! = 6
Generally, P (n,k) = n!/(n-k)!
Triangle ABC is defined by the points A(2,9), B(8,4), and C(-3,-2).
?
Complete the following equation for a line passing through point C and perpendicular AB.?
Answer:
5y - 6x = 8 or y = 6x/5 + 8/5
Step-by-step explanation:
let M1= gradient of line AB and M2= gradient of the second line
When two lines are perpendicular, the product of their gradients is -1
i.e, M1M2= -1
M2= -1/M1
A(2,9) and B(8,4)
gradient= (y2-y1)/(x2-x1)
M1= (4-9)/(8-2)
= -5/6
M2= -1÷ -5/6
-1 × -6/5= 6/5
Equation of the line passing through C(-3,-2)
[y-(-2)]/[x-(-3)= 6/5
(y+2)/(x+3)= 6/5
5(y+2)= 6(x+3)
5y+10=6x+18
5y= 6x + 8
y= 6x/5 + 8/5
As per the slope-intercept form of a straight line, the equation of the required line is 5y = 6x + 8.
What is the slope-intercept form of a straight line?The slope-intercept form of a straight line is: y = mx + c
Here, m = slope of the line , c = y-intercept
What is the relation between the slope of a line perpendicular to another line?If the slope of a line is 'a', then the slope of the line that is perpendicular to the given line is (- 1/a).
The given coordinates of the points A, B, C are (2, 9); (8, 4); and C(- 3, - 2) respectively.
Therefore, the slope of the line AB is (m)
= (y₂ - y₁)/(x₂ - x₁)
= (4 - 9)/(8 - 2)
= (- 5)/6
Slope of the required line is perpendicular to AB.
Therefore, the slope of the required line is
= - 1/(- 5/6)
= 6/5
This line passes through point C(- 3, - 2).
- 2 = - 3(6/5) + c
⇒ c = -2 + 18/5
⇒ c = 8/5
The equation of the required line is
y = (6/5) x + (8/5)
⇒ 5y = 6x + 8
Learn more about the slope-intercept form of a straight line here: https://brainly.com/question/19465597
#SPJ3
Rachel is 10 years older than her sister, Renee. In six years from now, the sum of their ages will be 40. How old is each girl?
(Systems of Equations Word Problem)
Answer: I say the answer is 20 years old, 30 years old
Step-by-step explanation: If rachel is 10 years old than her sister in six years from now, the sum of their ages will be 40. So rachel is 10 years older than her sister so the younger sister has to be 20 years old and and rachel is 30 years old.
can someone help me learn transforming linear functions? i need to know how to move the linear equation up or down on the y axis, and increase and decrease the slope. please be a virtuso or higher.
I'll make the person that helps me through it brainliest and answering and helping is worth 35 pts.
Answer:
Step-by-step explanation:
Earlier in this chapter we have expressed linear equations using the standard form Ax + By = C. Now we're going to show another way of expressing linear equations by using the slope-intercept form y = mx + b.
In the slope-intercept form you use the slope of the line and the y-intercept to express the linear function.
y=mx+b
Where m is the slope and b is the y-intercept.
Solve for X. Please help ASAP.
Answer:
x = 36.87
Step-by-step explanation:
Find the length of the missing side.
x^2 + 12^2 = 15^2
x^2 + 144 = 225
x^2 = 81
x = 9
Now use the law of sines:
sin(90)/15 = sin(x)/9
Multiply each side by 9
9 * sin(90)/15 = sin(x)
0.6 = sinx
sin^-1 = 36.86989 rounded to 36.87
8 + 2 + (1/2) + (1/8) +...... Find the sum of the infinite series.
Add the expression. (3x + 2) + (2x + 5) *
Answer:
5x+7
Step-by-step explanation:
Order these numbers from least to greatest
Answer:
5.125, 5.14, ¹⁰³/₂₀, 5²/₉
Step-by-step explanation:
When you convert 103/20 to decimal you get 5.15 which is greater than 5.125 and 5.14.
When you convert 5²/₉ to fraction you get ⁴⁷/₉ which when converted to decimal is 5.222 which is greater than 5.125, 5.14 and 5.15.
For what value of y is the perimeter of the Shape 220 cm? and given sides are 5y+4 and 2y+36
Given that:
Length of the rectangle = (5y+4) cm
Breadth of the rectangle = (2y+36) cm
We know that formula for
Perimeter of a rectangle = 2(l+b) units
⇛P = 2(5y+4+2y+36) cm
⇛ P = 2(7y+40) cm
⇛ P = 14y+80 cm
According to the given problem
The perimeter = 220 cm
⇛ 14y+80 = 220
⇛14y = 220-80
⇛14y = 140
⇛y = 140/14
⇛y = 10 cm
Therefore, the value of y = 10 cm Ans.
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How many combined points do lee high school and rye high school have lee high school has 85.9 points scored in two track meets and peters high school has 15.5 points scored in two track meets and rye high school has 23.4 points scored in two track meets what is the combined total points for all three highschools? Lee high school and rye high school have _ combined points
Answer:
124.8 points (Total)
109.3 points (Lee High School & Rye High School)
Step-by-step explanation:
Points by Lee High School = 85.9 pointsPoints by Peters High School = 15.5 pointsPoints by Rye High School = 23.4 pointsTotal
85.9 + 15.5 + 23.4101.4 + 23.4124.8 pointsLee HS and Rye HS
85.9 + 23.4109.3 pointsHello can some one please help me
go follow its datgurlmaribel
Step-by-step explanation:
what is this........???
PLEASE HELP QUESTION IN PICTURE 15 POINTS
PLS HELP TY!!
Two functions, function A and function B, are shown below:
Function A
x y
7 14
8 16
9 18
Function B The first quadrant of a coordinate grid is shown from 0 to positive 8 on both axes at intervals of 1. The title is Function B. Only the even numbers are shown on the scale. A line is drawn by connecting the points on ordered pairs 1, 3 and 2, 6 and 3, 9.
Which statement best compares the rate of change of the two functions? (1 point) The rate of change of both functions is 2.
The rate of change of both functions is 3.
The rate of change of function A is greater than the rate of change of function B. The rate of change of function B is greater than the rate of change of function A.
Answer:
The rate of change of function B is greater than the rate of change of function A
Colby worked three more hours
on Tuesday than he did on Monday. On
Wednesday, he worked one hour more
than twice the number of hours that he
worked on Monday. If the total number
of hours is two more than five times the
number of hours worked on Monday,
how many hours did he work on
Mondav?
At what point does the terminal side of the angle 7pi /4 in standard position intersect the unit circle
Answer: it’s A
Step-by-step explanation: I just did the quiz
PLS HELP! 31 POINTS!!)) John plans to practice piano at least 2 1/2 hours this weekend. If he practices 1 1/6 hours on Saturday and 1 1/4 hours on Sunday, will he meet his goal? A. Yes; he will practice a total of 2 5/12 hours, and 2 5/12 > 2 1/2 . B. No; he will practice a total of 2 5/12 hours, and 2 5/12 < 2 1/2 . C. Yes; he will practice a total of 2 7/12 hours, and 2 7/12 > 2 1/2 . D. No; he will practice a total of 2 7/12 hours, and 2 7/12 < 2 1/2 .
Answer:
2 hours 30 minutes = goal
Saturday = 1 hour 10 minutes
Sunday = 1 hour 15minutes
Total = 2 hours 25 minutes
No he will not meet his goal. He will be short 5 minutes of practice.
Explanatiory:
if I’m wrong, I’m sorry. If I’m right, mark me brainlest!
Answer:
ill see im on the yest rn
Step-by-step explanation:
May I please receive help?
Match each verbal description with the algebraic expression it represents.
Answer:
Brainly.com
Question
Match each expression to the correct verbal description.
Answer · 12 votes
(7x)3+8 8 added to the cube of 7x(7x+8)3 The cube of the sum of 7x and 87(x+8)3 7 times the cube of the sum of x and 87x3+8 8 added to 7 and x cubed
Will mark brainly :)
Which interval contains all the x-values where f(x)=log0.75x is positive?
x>0.75
0 1
0
Given the function f(x) = log 0.75x
The interval that contains all the x-values must be greater than 1.333
For the function to be positive, the expression 0.75x must be greater than and equal to 1 as shown:
0.75x ≥ 1Divide both sides by 0.75
0.75x/0.75 ≥ 1/0.75
x ≥ 1/0.75
x ≥ 1.333
Hence the interval that contains all the x-values must be greater than 1.333
Learn more on inequalities here: https://brainly.com/question/11613554
Mir. White has a beach lot that is 60 feet wide.
What is the width of his lot in yards?
Answer:
20 Yards
Step-by-step explanation:
3 feet = 1 yard
60 / 3 = x yards
20 yards
In order to make a specific shade of green paint, a painter mixes 1/2
of a gallon of blue paint with 4/5
of a gallon of yellow paint.
How many gallons of each color are needed to make 26 total gallons of this color?
10 gallons of blue paint was mixed with 16 gallons of yellow paint to make 26 total gallons.
Let x represent the total amount of paint.
(1/2)x + (4/5)x = 26
1.3x = 26
x = 20
Therefore:
Amount of blue paint = (1/2)x = (1/2)*20 = 10 gallons
Amount of yellow paint = (4/5)x = (4/5)*20 = 16 gallons
10 gallons of blue paint was mixed with 16 gallons of yellow paint to make 26 total gallons.
Find out more on equation at: https://brainly.com/question/2972832
[tex] \huge{꧁\: \large \frak{ \huge question } \: \huge꧂}[/tex]
what's the Answer ?
[tex]5 - 5 \div 5[/tex]
Answer:
[tex]5 \div 5 = 1[/tex]
[tex]5 - 1 = 4[/tex]
Hence , 4 is the answer !!Answer:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Step-by-step explanation:
5/5 =1
5-1 = 4
*4 is the ANSWER
(Have a Great Day)
what's 5+5+5+5+5+5? and then times 1 ?
When you multiply a number by 25, subtract the result from 2000, and divide everything by 5, you will get 150. What is the initial number?
Answer:
110
Step-by-step explanation:
150*5=750
750+2000=2750
2750/25=110
Answer:
The number is 110
Explanation:
To find the number you have to reverse everything so we will start by the number 150, it says that after dividing by 5 we get 150 so we will multiply 150 with 5 because the opposite of decision is multiplication the answer we get is 750. Then you go a step back again and it says to subtract 2000 and the opposite of subtraction is addition so we add 2000 to 750 and we get 2750. Now we go a step back again and it says to multiply by 25 and the opposite of multiplication is division so we will divide 2750 with 25 and we get 110
Step by step:
150×5= 750
=> 750+2000= 2750
2750÷25= 110
Two cars leave an intersection at the same time. One drives east while the other travels south at 25 miles per hour faster than the other. After 2 hours, the cars are 250 miles apart. How fast is the southbound car driving?
Step-by-step explanation:
Pythagoras :
c² = a² + b²
c is the Hypotenuse (side opposite of the right angle), which is in our case the distance of the 2 cars.
after 2 hours the east car was driving x miles. and the south car was driving x + 2×25 = x + 50 miles.
x² + (x + 50)² = 250²
x² + x² + 100x + 2,500 = 62,500
2x² + 100x = 60,000
x² + 50x = 30,000
x² + 50x - 30,000 = 0
the solution for a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 50
c = -30,000
x = (-50 ± sqrt(2500 - 4×1×-30000))/(2×1) =
= (-50 ± sqrt(2500 + 120000)/2 =
= (-50 ± sqrt(122500))/2 = (-50 ± 350)/2 =
= -25 ± 175
x1 = -25 + 175 = 150 miles
x2 = -25 - 175 = -200 miles.
negative distances don't make any sense here in our scenario, so the solution is x = 150 miles.
therefore, the east car was going 75 mph (traveled in 2 hours 150 miles).
and the south car was going 75 + 25 = 100 mph (traveled in 2 hours 200 miles).
Alondra says that (12 + 31) × 5 is equivalent to 12 + 31 × 5 because of the associative property. Determine if Alondra is correct. Justify your answer.
Answer:
No
Step-by-step explanation:
(12 + 31) × 5 = 215
12 + 31 × 5 = 167
order of operations are the rules that state the sequence in which the multiple operations in an expression should be solved.
Order of Operations :
1. Parentheses
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction
Describe the location of point (4,2) on a coordinate plane. Enter a number in each box to complete the sentence.
The point is
units up from the origin on the y-axis and
units to the right of the origin on the x-axis.
Answer:
2 units up and 4 units to the right.
Step-by-step explanation:
It is 2 units up and 4 units to the right because since the x-coordinate is positive, that means the point is to the right of the origin and since the y-coordinate is positive, that means the point is above the origin.
Can someone help me with this one I would appreciate it very much!!
Answer:
12.5 pounds
Step-by-step explanation:
16 ounces = 1 pound
200 ounces = 1 × 200/16 = 12.5 pounds
Alisha has a five–year car loan of $15,000 with an interest rate of 6 percent. If the interest is compounded annually, how much will she pay in total for her car?
Answer:
$20,073.38
Step-by-step explanation: Step 1: Find the percentage. The formula for annual compound interest is A = P(1 + r)^t, where A = amount (total amount), P = principal (initial amount), r = rate (percentage), and t = time (in years). Our rate is 6%, which is 0.06 in decimal form. Add it to 1. 1 + 0.06 is 1.06.
Step 2: Raise 1.06 to the 5th power. Because we are finding the amount in 5 years, we do that step. 1.06^5 is 1.3382255776.
Step 3: Do not delete the decimal from the calculator. Multiply it by 15,000 to find the total amount. When you do, you get 20,073.383664 or 20,073.38 when rounded to the nearest hundredth.