Perpendicular Line: y = 3x - 10
Explanation:[tex]\sf {Given:} \ y = -\dfrac{1}{3} x-4[/tex]
Comparing it with slope intercept formula: [tex]\bf y = mx + b[/tex]
where m is the slope, b is y interceptIdentify the slope for this particular function:
[tex]\star \ \ \sf slope = -\dfrac{1}{3}[/tex]
Now given that the line passes perpendicularly, then the slope shall be negatively inverse of the parallel slope.
[tex]\implies \sf \ perpendicular \ slope : \ -(\dfrac{1}{m} ) \ = \ -(\dfrac{1}{-1/3} ) \ = \ 3[/tex]
Now, find the equation:
[tex]y -y_1 = m(x - x_1) \ \ \ \ \textsc where \ (x_1, y_1 ) \ are \ points[/tex] given points : (6, 8)
equation:
[tex]\rightarrow \sf y - 8 = 3(x-6)[/tex]
[tex]\rightarrow \sf y = 3x-18+8[/tex]
[tex]\rightarrow \sf y = 3x-10[/tex]
On comparing to y=mX+b
Slope =m=-1/3Perpendicular lines have slopes negative reciprocal to each other
Slope of perpendicular line
3Equation in point slope form
y-8=3(x-6)y-8=3x-18y=3x-10What Probability that any random music purchased in 2004 was not a Music video. If the total American music sells in 2004 for Cd was 80 and Digital single was 15 and music video was 3 and other was 2??????? ( When it says other it means random music)
Answer:
97%
Step-by-step explanation:
a piece of string measures 2 16/20 meters which of the following is equivalent to the length of the string in meters
The equivalent to the length of the string in meters is 14 / 5 meters
How to find the equivalent length of a string?The length of the string is expressed in a mixed fraction form.
length of the string = 2 16 / 20
let's express it in a simplified form. This is usually in an improper fraction form.
Therefore,
2 16 / 20 = 56 / 20
Hence,
56 / 20 = 14 / 5 meters
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HELP!!!! NO ABSURD ANSWERS IF YOU DON'T WANT TO GET YOURSELVES REPORTED!! NEED HELP AS SOON AS POSSIBLE!!!!
What is the circumference of a circle with a radius of 3 and a diameter of 14?
PLSSSSS
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
What is the circumference of a circle with a radius of 3 and a diameter of 14?
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
Formula for Circumference of a circle:-[tex]\bold{Circumference_{(circle)}=\pi d}[/tex]
First, we multiply the radius times 2 in order to get the diameter (the radius is exactly one-half of the diameter).
Now, we substitute 6 (3•2) for d:-
[tex]\sf{C=\pi *6}[/tex] [π=3.14]
[tex]\bigstar[/tex]On simplification,
[tex]\sf{C=3.14\times6}[/tex]
[tex]\bigstar[/tex] Which results in
[tex]\sf{C=18.84\:cm}[/tex]
[tex]\rule{200}{2}[/tex]
Now, let's find the circumference of a circle whose diameter is 14:
[tex]\sf{C=\pi d}[/tex]
Substitute 14 for d:-
[tex]\sf{C=14\pi }[/tex] Next, substitute 3.14 for pi:-
[tex]\sf{C=14\times3.14}[/tex]
[tex]\bigstar[/tex] Which results in:-
[tex]\sf{C=43.96\:units}[/tex]
Good luck with your studies.[tex]\rule{290}{2}[/tex]
Solve the formula V = b²h fo O A. b = VЗV - h О в. b - V D 3V Ось = √ву OD. b = √3Vh D for b.
Answer:
The answer is option C
Step-by-step explanation:
The solution is in the image
Michael glues pipe cleaners around the edges of a rectangular poster. he uses a total of 14 pipe cleaners with 5 pipe cleaners each on the longer sides of the poster. how many pipe cleaners does he use for each of the shorter sides of the poster?
The total pipe used for each of the shorter sides of the poster is 2 if Michael uses a total of 14 pipe cleaners, with 5 pipe cleaners each on the longer sides of the poster.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We have:
Michael glues pipe cleaners around the edges of a rectangular poster. He uses a total of 14 pipe cleaners, with 5 pipe cleaners each on the longer sides of the poster.
Total pipe Michael uses = 14
He used a total of 5 pipe cleaners on each long side.
Total pipe cleaner on two long sides = 5×2 = 10
The pipe used on shorter side = 14 - 10 = 4
Total pipe for each of the shorter sides of the poster = 4/2 = 2 pipes
Thus, the total pipe for each of the shorter sides of the poster is 2 if Michael uses a total of 14 pipe cleaners, with 5 pipe cleaners each on the longer sides of the poster.
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what interest rate do you need for an $5000 investment compounded annually to double in 10 years?
Answer:
The investment rate that you need for a 5000$ invest compounded annually to double in 10 years is 55,000
Step-by-step explanation:
how do you measure the perimeter of a shape
Perimeter is a measure of the area or distance around a two-dimensional shape. On a rectangle, for instance, the perimeter is the total length of the rectangle's outline, including the two widthwise borders and the two lengthwise borders.
To determine the perimeter of a shape, therefore, you add together all the dimensions that make up the shape's outer edge. Being able to find the perimeter of a shape has many applications in the real world. Say, for example, that you wanted to build a fence around your backyard. In order to purchase materials, you need to know how much fencing you'll need, and to determine that you have to figure out the perimeter of the area you want to fence in.
To which of the following situations can the function y=5x+10 best be applied?
A. The number of miles a person walks if he walks for 5 hours at the rate of 10 miles per hour
B. The total weight on a scale if 5 pounds is placed there initially and a series of 10-pound weights are added to it
C. The total wages earned by a waiter who is paid $5 per hour and earns $10 in tips
D. The combined length of 5 boards, each 10 feet longer than the width of a doorway
The situation in which the linear function y = 5x + 10 can be applied is given by:
C. The total wages earned by a waiter who is paid $5 per hour and earns $10 in tips.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, we want a function with a slope of 5(rate of change), and an y-intercept of 10(initial quantity), hence option C is correct.
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What fraction is equal to 0.4 (with a line over the four)
A. 44/9
B. 4/99
C. 4/9
D. 9/4
Answer:
4/9 = 0.4 with a line over the 4
Step-by-step explanation:
Answer:
C. 4/9
Step-by-step explanation:
On dividing 4/9 :
4/90.444....0.4 (bar on the 4)Option C gives the right answer.
A volleyball has a surface area of 1 465cm^2 Calculate the volume of five volleyballs. Round your answer to the nearest THOUSAND.
The volume of five volleyballs is 26310.15 cubic cm if the volleyball has a surface area of 1465 square cm.
What is a sphere?It is defined as three-dimensional geometry when half-circle two-dimensional geometry is revolved around the diameter of the sphere that will form.
We know the surface area of the sphere is given by:
SA = 4πr²
1465 = 4πr²
r = 10.79 cm
Volume of the sphere = 4πr³/3
V = 4π(10.79)³/3
V = 5262.03 cubic cm
Volume of five volleyballs = 5×5262.03 = 26310.15 cubic cm
Thus, the volume of five volleyballs is 26310.15 cubic cm if the volleyball has a surface area of 1465 square cm.
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Quadrilateral PQRS is inscribed in a
circle. The ratio of mP to mR is 2:4.
What is mR?
F 30°
H120°
G 60°
J Not here
Answer: H
Step-by-step explanation:
Parallel lines p and q are intersected by transversal r, as show.
Using the corresponding angles theorem, the value of x is 150°
Calculating the measures of anglesFrom the question, we are to determine the value of the angle marked x°
From the diagram,
The angle that supplements the angle marked 30° is corresponding to angle x
Since corresponding angles are equal
Then, we can write that
∴ x = 180° - 30°
x = 150°
Hence, the value of x is 150°
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Hey could you help me
Estimate
754÷12
Your answer is 62.8
Have a good day
Which has least value when x=100?
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
Which expression has least value when x=100?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
Substitute 100 for x and solve:-
[tex]\bold{\dfrac{1}{100}}[/tex]
[tex]\bold{\dfrac{10}{100}}[/tex]
[tex]\bold{1-100=-99}[/tex]
[tex]\bold{10-100=-90}[/tex]
Since -99 is the smallest number here, the expression with the least value when x=100 is Option C - [tex]\checkmark\dashrightarrow\boxed{\boxed{1-x}}}\dashleftarrow\checkmark[/tex]
Good luck.- - -- - - - - - - - - - - - - - - - - - - -- - - - -
Each edge of this cube is 6.7 cm long.
Work out
a) volume
b) surface area
Answer:
Hii.. The answer of the volume is 300.74 cm
And the surface area is 269.34 cm
Answer:
V=6.7×6.7×6.7
=300.763 cm^3
SA=6×6.7×6.7
=269.34 cm^2
Question 12 of 14
The perimeter of a rectangle is 32 inches. The length is 1 foot. What is the width of the rectangle in inches?
A.
4 inches
B.
10 inches
C.
15 inches
D.
20 inches
Find the magnitude of the sum of the vectors <4,5> and <-2,2>. Round your answer to the nearest 100th.
Answer:
[tex]||v||\approx7.28[/tex]
Step-by-step explanation:
Sum of the vectors
[tex]\langle4,5\rangle+\langle-2,2\rangle=\langle4+(-2),5+2\rangle=\langle2,7\rangle[/tex]
Magnitude of the resultant vector
[tex]||v||=\sqrt{x^2+y^2}=\sqrt{2^2+7^2}=\sqrt{4+49}=\sqrt{53}\approx7.28[/tex]
Sum= 5; Product = 6
Answer:
2 and 3
Step-by-step explanation:
[tex]3*2=6\\3+2=5[/tex]
5) Amber picked fruits from her family's fruit trees and put them into baskets. She put 10 apples into each of 4 baskets, 10 oranges into each of 3 baskets, and 12 peaches into each of 5 baskets. How much fruit did she pick in all?
Total apples.
10(4)40Total oranges
10(3)30Total peaches
12(5)60Total fruits
60+40+30130Answer:
130
Step-by-step explanation:
We have given in the question 'she put 10 apples into each of 4 baskets.
Into = Multiplywe have to Multiply 10 with 4
=> 10 × 4
=> 40 Apples
Similarly, in the case of oranges we have to Multiply 10 with 3
=> 10 × 3
=> 30 Oranges
Same method will be followed to find the number of peaches that she picked .
=> 12 × 5
=> 60 Peaches
Total fruits Amber picked = Number of apples + Number of oranges + Number of peaches
=> Total fruits = 40 + 30 + 60
=> Total Fruits = 130 .
An airliner has 40 rows of seats. Each row has 2 seats on one side, 3 seats in the middle and 2 seats on the other side. How many seats are in the crows ? a) 280 b) 950 c) 400 d) 3,590
Answer:
280 seats
Step-by-step explanation:
40*7 = 280
Answer:
18
Step-by-step explanation:
what is 1 2/3 - 2 1/3
Answer:
-2/3
Step-by-step explanation:
[tex]= 1 \frac{2}{3} - 2 \frac{1}{3}\\=\frac{1 * 3 + 2}{3} - \frac{2 * 3 + 1}{3} \\= \frac{5}{3} - \frac{7}{3}\\ = \frac{5 - 7}{3} \\\\= \frac{-2}{3}[/tex]
100 points! plus brainlyist!
Answer:
x=2
Step-by-step explanation:
We must equate f(x)=g(x) ;
x+3=2x^2-3
2x^2-x-6=0, when we solve for x in this equation we get 2 solutions:
x=2, x=-1.5
Since -1.5 is not seen in the table, we consider the value 2.
At x=2 in the table both f(x) and g(x) have the same value 5 and proves f(x)=g(x) has a solution at x=2.
Answer:
x = 2
Step-by-step explanation:
Given:
f(x) = |x| + 3
g(x) = 2x² - 3
From inspection of the table, the equation f(x) = g(x) has a solution when
x = 2 as this is the only value of x when the two functions have the same value of 5.
See attached graph for proof. The points of intersection are the solutions: (-2, 5) and (2, 5). (Since x = -2 is not in the given table, this is not included in the answer to this question).
A customer in Arizona where sales tax is 5.6% orders a cheeze pleeze bites subscription that cost 5.40 every 2 months how much sales tax is collected in a year
Answer:
see the attachment.
the answer is $ 32. 40/ Year
Andy has 36 CDs. He buys a case
that holds 4 CDs in each section.
How many sections can he fill?
Answer:
9 sections
Step-by-step explanation:
We can find the number of section by dividing the total number of CDs by the number of CDs that each case holds.
[tex]\sf \text{Number of CDs =$\dfrac{36}{4}$}[/tex]
= 9
The car that Ms. Garcia is buying comes with a choice of 3 trim lines (standard, sport, or luxury), 2 types of transmission (automatic or manual), and 8 colors. How many different option packages does Ms. Garcia have to choose from? Explain.
Answer:
Number of different options for Ms. Garcia are
3 * 2 * 8 = 48
So 48 options
Step-by-step explanation:
There are m ways to make 1st selection and n ways to make 2nd selection and p ways to make 3rd selection so thats why I did (m * n * p)
What is the surface area of a cube with a side length of 3 inches?
54
Step-by-step explanation:
Find the area of on side of the cube...it's a cube so all sides are the same
3x3=9
multiply the area of one face by the number of faces, 9x6=54
ANSWER QUICK, FIRST ANSWER GETS BRAINLIEST! What is the interquartile range of this data set?
Enter your answer in the box.
Answer:
13
Step-by-step explanation:
13 will go inside this box
Answer:
13
Step-by-step explanation:
Finding Upper Quartile (Q₃)
31, 40, 41, 4940 + 41 / 2Q₃ = 40.5Finding Lower Quartile (Q₁)
20, 25, 30, 3025 + 30 / 2Q₁ = 27.5Interquartile Range = Q₃ - Q₁
40.5 - 27.513
find the area to the nearest hundredth use 3.14 for π
Answer:
50.24
Step-by-step explanation:
you can use pi r^2
----------What is the measure,in degrees,of angle VSR?
Answer:
Angle VSR = 135 degrees.
Step-by-step explanation:
since it is a straight line at the top, those angles are going to add up to 180 degrees. The corners of a square is 90 degrees. And we know the other side is 45. 90 + 45 = 135 so 180 - 135 = 45 and that is the measure of the other angle. An easier way to do it would be that theres another square and the corners are still 90 degrees so you just do 90 - 45 and get 45 now you add the 45 to 90 and get 135 which is the answer.
Eddie worked 50 hours this week. He gets paid $12.00 per hour for the first 40 hours and
then gets double-time (2) for the rest of the time. How much money did he make this
week?
Answer:
720
Step-by-step explanation: