Answer:
The coordinates of the points on the unit circle help us to find the tangent of each angle. As you can see with this equation, the tangent of an angle is equal to the y-coordinate divided by the x-coordinate. For each angle, start by dividing each y-coordinate by the x-coordinate to get the tangent of that angle.
i hoped this helped a little :D
A line contains the points (-6, -4) and (0,4). What is the equation of this
line in slope-intercept form?
4
OA) y=3*+
x+4
(
4
OB) y=
3
ОВ)
X-4
OC) y=x-4
OD) y=x+4
As y=4x−2 can be written as y=4x+(−2) . Hence, it's slope is 4 and intercept on y -axis is −2
A) [tex]y=\frac{4}{3}x+4[/tex]
Step-by-step explanation:Write the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
________________________________________________________
Substitute and calculate
[tex]Substitute:[/tex] [tex]x_1=-6\\ x_2=0\\ y_1=-4\\ y_2=4[/tex] [tex]into\ m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute
[tex]m=\frac{4-(-4)}{-(-6)}[/tex]
Determine the sign
[tex]m=\frac{4+4}{6}[/tex]
Calculate the sum or difference
[tex]m=\frac{8}{6}[/tex]
Cross out the common factor
[tex]m=\frac{4}{3}[/tex]
________________________________________________________
Substitute and calculate
[tex]Substitute[/tex] [tex]m=\frac{4}{3}\\ x=-6\\ y=-4[/tex] [tex]into\ y=mx+b[/tex]
Substitute
[tex]-4=\frac{4}{3}\times(-6)+b[/tex]
Reduce the expression to the lowest term
[tex]-4=-4\times2+b[/tex]
Calculate the product or quotient
[tex]-4=-8+b[/tex]
Rearrange variables to the left side of the equation
[tex]-b=-8+4[/tex]
Calculate the sum or difference
[tex]-b=-4[/tex]
Divide both sides of the equation by the coefficient of variable
[tex]b=4[/tex]
________________________________________________________
Substitute
[tex]Substitute[/tex] [tex]y=\frac{4}{3}x+4\\ m=\frac{4}{3}[/tex] [tex]into\ y=mx+b:[/tex]
[tex]y=\frac{4}{3}x+4[/tex]
________________________________________________________
Rewrite the equation of the line
[tex]Rewrite\ y=\frac{4}{3}x+4\ in\ slope-intercept\ form:[/tex]
[tex]y=\frac{4x}{3}+4[/tex]
I hope this helps you
:)
(-4,1); perpendicular to y= -5/6x +3
Answer:
y = (6/5)x + 29/5
Step-by-step explanation:
To avoid confusion please enclose the fractional exponent inside parentheses: y= -5/6x +3 => y= (-5/6)x +3
The new line is to be perpendicular to the given line (above). The slope of this new line must be the negative reciprocal of (-5/6), which is (6/5).
Usig the slope-intercept formula, we get y = mx + b, or
1 = (6/5)(-4) + b
The LCD here is 5. Multiplying all 3 terms by 5, we get:
5 = 6(-4) + 5b, or
5 = -24 + 5b, or
5b = 29
Then b = 29/5, and the desired equation is:
y = (6/5)x + 29/5
A castle has to be guarded 24 hours a day. 7 knights are ordered to split each day's guard duty equally. How long will each knight spend on duty? Record your answer in minutes
Answer:
≈206 Minutes
Step-by-step explanation:
We know that the castle has to be guarded for 24 hours a day. Since there are 60 minutes in an hour, that means it must be guarded for 1,440 minutes (60 * 24 = 1,440). If we split this evenly between each of the 7 knights, through division, we know that they must each be on guard for 205.714285714 minutes, or approximately 206 minutes.
A hotel has a rectangular-shaped meeting room that is 13.4 yds. wide and 15.1
yds. long. If carpet costs $1.71 per ft^2
, what would be the cost of carpeting the
meeting room?
A hotel has a rectangular shaped meeting room that is 13.4 yards wide and 15.1 yards long. If the carpenter cost $ 1.71 per feet² what would be the cost of carpenting the room ?
✯ Explanation -Given :
Length of the meeting room = 15.1 yardBreadth of the meeting room = 13.4 yardRate of carpenting per feet² = $ 1.71Need to find :
Cost of carpenting the room.Solution :
THIS QUESTION IS BASED ON MEANSURATION TO SOLVE THIS QUESTION FIRST WE WILL CALCULATE THE AREA OF THE MEETING ROOM AND THEN WE WILL CALCULATE THE COST OF CARPENTING THE MEETING ROOM.
Calculating the area of the meeting room
[tex] \star \: \large \boxed{\sf{ Area_{(rectangle)} = Length × Breadth }}[/tex]
[tex] \large\rm{ Area_{(rectangle)} = (15.1 × 13.4) yard² = 202.34 \: yards²}[/tex]
Area of the meeting room = 202.34 yard²
Calculating the cost of carpenting the meeting room
First we will convert yards into feet
We know,
1 yard = 3 feet
202.34 yard = 202.34 × 3 = 607.02 feet
Now calculating the cost of carpenting the meeting room
Rate of carpenting = $ 17.1 per feet²
Cost of carpenting = $ ( 17.1 × 607.02) = $10,380.04
Final Answer -
Cost of carpenting the meeting room = $10,380.04.[tex] \rule{180pt}{3pt}[/tex]
Evaluate the expression :
( 4 \ \times \ 5 )^{2} \ - \ 6 \ + \ 3(4 × 5)
2
− 6 + 3 =
ANSWER
221
use a calculator
Annete completes a 6.8-mile bike route in 90 minutes. She rides her bike at a constant speed for the entire route. To find how fast she traveled, she solves the equation 6.8=x(90). What does x represent?
Answer:
Her speed in miles per minute
Step-by-step explanation:
Not sure if that's true but yeah
which numbers are irrational
Tutorial
An isosceles triangle has an angle that measures 100°. What measures are possible for the
other two angles? Choose all that apply.
80 100 40 50
The only measure that is possible for the other two angles is 40 degrees.
What is triangle ?
Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.
Let's call the two other angles in the isosceles triangle "x". We know that the sum of the three angles in a triangle is always 180 degrees. Therefore, we can set up an equation:
100 + x + x = 180
Simplifying this equation, we get:
2x + 100 = 180
Subtracting 100 from both sides, we get:
2x = 80
Dividing both sides by 2, we get:
x = 40
So the other two angles must both measure 40 degrees.
None of the other choices (80, 100, or 50 degrees) are possible for the other two angles in an isosceles triangle with one angle measuring 100 degrees.
Therefore, the only measure that is possible for the other two angles is 40 degrees.
To learn more about Triangle from given link.
https://brainly.com/question/2773823
#SPJ1
Solve for X Show and explain your work Please
x=8.385
Step-by-step explanation:
Angle EBD is a right angle since it's facing the diameter ED
Hence triangle BED is a right isosceles triangle since we also know that EB=BD
so A is the midpoint of ED since it's the center of the circle and ED is a diameter
which implies ED=2×AD=2×6=12
Using the Pythagorean theorem on a right isosceles triangle which states:
a²+b²=c²
x²+x²=12²
2x²=144
x²=72
x=√72=8.485
What is the solution of the system of equations shown below?
y = -x + 3
y = 4x - 2
A. (0,3)
B. (1,2)
C. (2,1)
D. (0, -2)
Answer:
B. (1,2) is the answer to the question
Step-by-step explanation:
i juts take the quiz
~brainliest ??
The solution of the linear equations y = -x + 3 and y = 4x - 2 will be (1, 2). Then the correct option is B.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equations are given below.
y = -x + 3 ...1
y = 4x - 2 ...2
From equations 1 and 2, then we have
4x - 2 = - x + 3
4x + x = 2 + 3
5x = 5
x = 1
Then the value of 'y' is given as,
y = - 1 + 3
y = 2
The solution of the linear equations y = -x + 3 and y = 4x - 2 will be (1, 2). Then the correct option is B.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Blake and Allie are keeping track of how many baskets they shoot each day. 1. In February, Blake shoots 350 baskets. 2. In February, Allie shoots 400 baskets. 3. In March, Blake plans to shoot 25 baskets a day. 4. In March, Allie plans to shoot 10 baskets a day. 1 point By the end of which date will Blake have shot more'total baskets than Allie? (Write out the whole month, don't abbreviate it. ) *
Answer:
Blake shoots 350 baskets. 2. In February, Allie shoots 400 baskets. 3. In March, Blake plans to shoot 25 baskets a day. 4.
PLEASE HELP FOR BRAINLEST!!!!
Answer:
15 cm is the correct answer.
Answer:
x = 15 cm
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 9² + 12² = 81 + 144 = 225 ( take square root of both sides )
x = [tex]\sqrt{225}[/tex] = 15
find the circumference of a circle whose radius is 3 3/4 ft.
Applying the expression for the circumference of a circle we found the circumference to be 23.565 ft
Mensuration of flat shapesGiven Data
Radius = 3 3/4 ftLet us first convert to proper fraction
Radius = 15/4 ft
We know that the expression for the circumference of circle is given as
Circumference = 2πr
Substituting our given data for radius we have
Circumference = 2*3.142*15/4
Circumference = 94.26/4
Circumference = 23.565 ft
Learn more about circumference here:
https://brainly.com/question/24375372
Your cafeteria line requires 8 minutes on the average for each customer to proceed through the line and pay the cashier. The average time space between each customer is 30 seconds. If the line is open for 1 1/2 hours for lunch, how many customers can you serve for lunch?
Answer:
You can serve 81 customers for lunch during the 11,5 hours opening.
Step-by-step explanation:
11,5 hours is 690 minutes.
Each customer takes 8,5 minutes (8 + 0,5)
690 / 8,5 = 81,17
As we can't serve "part" of customer:
81,17 ≈ 81 customers
Need help on this question ASAP pleasee and thank you!!
Answer:
Step-by-step explanation:
Raising both sides to the power of 10, we get [tex]x^{2}+x+14=10^{3x-5}[/tex].
Answer:
Step-by-step explanation:
6. In a set of 10 questions ,4 marks are awarded for every correct answer and -2 marks
every wrong answer. Sunil gets 6 correct answers and 4 wrong answers. What is his
score?
Answer this question right , then I will award u brainlist and points
16 points
Step-by-step explanation:Hi there !
What is his score?
6×4 - 4×2 =
= 24 - 8
= 16 points
Good luck !
Answer:
marks awarded for each correct answer = 4
marks awarded for each incorrect answer = -2
No.of Sunil's correct answer = 6
therefore, mark of Sunil's correct answer = 6 x 4 = 24
No.of Sunil's incorrect answer = 4
therefore, mark of Sunil's incorrect answer = 4 x -2 = -8 (here + and - is multiplied therefore the final answer will be -)
Sunil's total score = 24(positive marks) - 8(negative marks)
=24-8 = 16
This also is an integer question right? ^_^
if the breadth of rectangle is one-fourth of its length and perimeter in60 CM find the length and breadth of rectangle
Answer:
Step-by-step explanation:
Let length be x
So breadth will be 1/4x
2(x+1/4x)=60
x+1/4x=60/2=30
find lcm and the lcm would be 4 and make denominators equal and add it
4/4x+1/4x=30
5/4x=30
x=30*4/50=6*4=24
Therefore the length is 24/4=6cm and breadth is 24cm.
The area of an isosceles triangular land whose base side length 10 meter is 60 square meter. Find the measure of its remaining sides.
Answer:
2√30m
Step-by-step explanation:
I hope it will be helpful to youFind the missing angle measures:
Answer:
B = 62°
W = 56°
X = 56°
Y = 62°
Answer this pls!!
-7k - 4k = 8 - 2k - 8k
Answer:
Step-by-step explanation:
Using the equation, first move all of the k to the left side, then, you'll get as what I write in the attachment, minus when move to the other side will be positive, and vice versa.
5 units 2 units 2 units 3 units 2 units the area of the figure is blank square units
Answer:
Your answer is 8 Square Units
Step-by-step explanation:
3 x 2 = 6
2 x 2 = 4 / 2 = 2
6 + 2 = 8
Hope this Helps!
100 points and brainlyest
Part 2 - Writing Equivalent Expressions - You will now use mathematical properties to create two expressions that are equivalent to Sara’s expression.
Property Used
Original/Changed Expression
New expression with property used
Commutative Property of Addition (rearrange the added terms in the parentheses to group like terms together.)
5(2j + 3 + j)
Combine Like terms after rearranging them
(put your answer from the previous row here)
Distributive Property of multiplication over addition (multiply the number outside the parentheses)
(put your answer from the previous row here)
(Use this final expression that you write in this box on the next slide.)
Answer:
Commutative Property of Addition: to change the order of numbers in an addition or multiplication operation does not change the sum or the product.
New expression with property used: 5(2j + j + 3)
Combine like terms: when combining like terms, add their coefficients
The like terms are 2j and j. Add their coefficients: 2 + 1 = 3, which means that the combination of like terms is 3j.
New expression with property used: 5(3j + 3)
Distributive Property of multiplication over addition: multiplying a sum by a number gives the same result as multiplying each added term by the number and then adding the products together.
So 5(3j + 3) = 5 · 3j + 5 · 3 = 15j + 15
New expression with property used: 15j + 15
What is the constant of proportionality from the following equation: s = 0.75u
u
A
0.75
u
S
Answer:
0.75
Step-by-step explanation:
The equation representing direct proportion is
y = kx ← k is the constant of proportionality
s = 0.75u ← is in this form
with k = 0.75
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
go 3 forward make a dot. and 8 down make a dot. then connect dots.
Answer:
all u do is get your mouse and move it and then do it TA-DA boom the answer XD
Step-by-step explanation:
comment below what u would say
Which of the following is a factor of 2x2-2
Answer:
2(x-1)
Step-by-step explanation:
Multiply 2 by the terms inside.
Answer:
this is both factors
2(x+1), (x−1)
Step-by-step explanation:
Algebra 1
> U.15 Solve a system of equations using any method: word problems GDQ
Tutor
Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks
Victor and Susan each want to run for president of their school's student body council. In
order to do so, they must collect a certain number of signatures and get a nomination. So far,
Victor has 23 signatures, and Susan has 19. Victor is collecting signatures at an average rate
of 9 per day, whereas Susan is averaging 11 signatures every day. Assuming that their rate of
collection stays the same, eventually the two will have collected the same number of
signatures. How long will that take? How many signatures will they both have?
In
days, Victor and Susan will each have collected
signatures.
Submit
O
к
Answer:
cl jsjsjsjnsmamansnsnannananann
Which expression can represent 70% of x?
3 ( x Over 4 ) minus one-half ( x Over 10 )
3 ( x Over 4 ) minus ( x Over 10 )
(x Over 2) + (x Over 10)
( x Over 2 ) + one-half ( x Over 4 )
Answer:
its b
Step-by-step explanation:
cuz
Alice makes a scale drawing of her bedroom. She uses a scale of 3 cm to represent 5 m. What ratio is Alice using?
Answer:
[tex]\frac{3}{500}[/tex]
Step-by-step explanation:
1m is 100 cm, so we have [tex]\frac{3}{500}[/tex]
The sales team at an electronics store sold 48 computers last month. The manager at the store wants to encourage the sales team to sell more computers and is going to give all the sales team members a bonus if the number of computers sold increases by 30% in the next month. a) What is the amount of increase in computers needed? b)What is the new amount of computers the team must sell?
Answer: a. 14 Computers
b. 62 Computers
Step-by-step explanation:
a) What is the amount of increase in computers needed?
Number of Computers sold last month = 48
Percentage increase required = 30%
Amount of increase in computers needed= 30% × 48
= 0.3 × 48
= 14.4
= 14 approximately
b)What is the new amount of computers the team must sell?
This will be the amount of Computers sold last month plus the increase.
= 48 + 14
= 62 Computers
Bella was out at a restaurant for dinner when the bill came. Her dinner came to $24. After adding in a tip, before tax, she paid $29.04. Find the percent tip.
Answer:
21%
Step-by-step explanation:
So we have to use percent change
The formula is subtracted/original multiply 100=percent change
so she added a $5.04 tip
5.04/24=0.21, then multiplied by 100=21
so she tipped 21%