Answer:
B
Step-by-step explanation:
we are given a equation of a line
we want to figure out the equation of the perpendicular line passes through the (6,5) points
in order to do so
recall that,
[tex] \displaystyle m_{ \text{perpendicular}} = - \frac{1}{m} [/tex]
we got from our given equation that m=2
because equation of a line is y=mx+b
thus
[tex] \displaystyle m_{ \text{perpendicular}} = - \frac{1}{2} [/tex]
remember that, when we want to figure out perpendicular line or parallel line we should the formula given by
[tex] \displaystyle y - y_{1} = m(x - x_{1})[/tex]
since we got our perpendicular m is -½, [tex]x_1=6[/tex] and [tex]y_1=5[/tex], substitute
[tex] \displaystyle y - 5 = - \frac{1}{2} (x - 6)[/tex]
to get the perpendicular equation you should simplify the above equation to y=mx+b form
distribute -½:
[tex] \displaystyle y - 5 = - \frac{1}{2} x + 3[/tex]
add 5 to both sides:
[tex] \displaystyle y = - \frac{1}{2} x + 8[/tex]
hence,
our answer choice is B
A ski area has a high-speed lift that can move 2,400 skiers to the top of the mountain each hour. Write an expression describing how many skiers can be lifted in ℎ hours. Do not use spaces.
Answer:
2,400h
Step-by-step explanation:
You multiply the amount of skiers per hour (2,400) by the amount of hours (h).
Sara has 45 comic books. Each month
her collection of novels triples. Write
an expression that represents the
number of comic books she has, y, as
a function of months, X
A population of 2200 beetles is too large to sustain and decreases in population each
month at a rate of 5%. How would you write your growth rate, b?
Answer:
2200-b(5) ?
I'm not 100% but here's my 2 cents
HELPPP If _ABD and ZACD are both right angles, CD = 15, and BD = 4x-9, what is the value
of x?
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
[tex]BD[/tex]≅[tex]CD[/tex]
[tex]4x-9=15[/tex]
[tex]4x=15+9[/tex]
[tex]4x=24\\[/tex]
[tex]x=6[/tex]
---------------------
hope it helps....
have a great day!!
PLEASE HELP ME!!!
Tim is sorting his book collection into groups. He places each group onto bookshelves that can each hold a maximum of 25 pounds. His collection includes hardcover books that weigh 3 pounds each and softcover books that weigh 2 pounds each.
Select all of the possible numbers of hardcover books that could be on one bookshelf.
3
4
8
9
12
Answer:
3 and 4
Step-by-step explanation:
The number of hardcover books will be 3,4, and 8.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Tim is sorting his book collection into groups. He places each group onto bookshelves that can each hold a maximum of 25 pounds. His collection includes hardcover books that weigh 3 pounds each and softcover books that weigh 2 pounds each.
Total weight = 25 pounds
The number of hardcover books which weigh less than 25 pounds is,
3 x 3 pounds = 9 pounds
4 x 3 pounds = 12 pounds
8 x 3 pounds =- 24 pounds
Therefore, the number of hardcover books will be 3,4, and 8.
To know more about an expression follow
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19. There are 3 roses in a bouquet of assorted flowers. The roses represent 5 15% of the bouquet. How many flowers are in the bouquet? flowers (do not enter label)
Translate The verbal sentences into an algebraic inequality
(1) x is at most 50 _________
(2) the sum of 5x and 2x is at least 70 __________
(3) the maximum value of 4x-6 is 54 _________
Step-by-step explanation:
1. x>50
2. (5x+2x)<70
3 (4x-6)>54
1)A pitcher throws a ball at 40.0 m/s, and the ball is electronically timed to arrive at home plate 0.4625 s later. What is the distance from the pitcher to the home plate?
2) radio signal travels from the earth and through space at a speed of 300,000 km/s. How far into space would the signal travel in 80 seconds?
3) bullet leaves a rifle with a speed of 1,230 m/s. How much time elapses before it strikes a target 5000m away?
Will give a brainliest if you are correct
Answer:
the answer to number one is 18.5. i'm not sure about two or three, sorry.
Step-by-step explanation:
1. I think you can use the formula for speed:
speed = distance / time
2. Transpose the equation to find distance and you'll get:
distance = speed x time
3. Substitute the given inputs...
distance = (40 m/s)(0.4625s)
4. Cancel "s".
distance = (40m)(.4625)
5. Calculate.
distance = 18.5 m -- ANSWER
1) The distance be 18.5 meter.
The Velocity of ball is v = 40.0 m/s and it taking t = 0.4625 seconds to arrive at home plate.
What is the relation between velocity, distance and time?
Velocity equals distance travelled divided by the time it takes to get there.
Now,
Velocity = distance/ time
So, Distance = time x velocity
⇒ Distance = 0.4625 x 40.0
= 18.5 m
Thus, the distance be 18.5 meter.
2) Distance of the signal travel is [tex]24 *10^{6}[/tex] [tex]km/sec^{2}[/tex].
Here, Speed of radio signal is 300,000 km/s
Time taking in travel is 80 second.
Speed = distance/ time
Distance = speed x time
= 300,000 x 80
= 24,000,000
Hence, Distance of the signal travel is [tex]24 *10^{6}[/tex] [tex]km/sec^{2}[/tex].
3) Time taking to elapses before it strikes a target is 4.06 second.
Here, Speed of bullet is 1230 m/s
Distance travel by bullet is 5000m
Now,
Speed = distance/ time
Time = distance / speed
= 5000/1230
= 4.06 second
Hence,
Time taking to elapses before it strikes a target is 4.06 second.
Learn more about the Velocity, time, distance visit:
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Find the mean of the following numbers.
64, 82, 74, 60
Answer:
70
Step-by-step explanation:
Simple math Add the numbers and devide by the number of numbers
(64+82+74+60)/4
Answer: 70
Step-by-step explanation:
To find the mean you add the numbers up then divide by how many numbers there are so when you add them up you get 280 and then divide that by 4 which is 70. hope this helps! :')
A 258-inch board is cut into two pieces. One piece is five times the length of the other. Find the length of the shorter piece.
Answer:
43in
Step-by-step explanation:
Let the length of the pieces be x and y
Since the total length is 258in, then;
x+y = 258... 1
If One piece is five times the length of the other, then x = 5y ....2
Substitute 2 into 1
From 1:
x+y = 258
5y+y = 258
6y = 258
y = 258/6
y = 43
Since x = 258-y
x = 258-43
x = 215
Hence the length of the shorter piece is 43in
SOMEONE PLS HELP ASAP DUE SOON PLS AND TY PLSSS I NEED HELP
Answer:
1.48
Step-by-step explanation:
Formula:
degrees × (π)/180
85 × (π)/180
85π/180
17/36π
1.483
Rounded to nudredths: 1.48
Answer:
1.48
Step-by-step explanation:
pleasee help, thank you so much
Answer:
-2
Step-by-step explanation:
Use the slope formula when given two points
Slope formula = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
( the x and y values are determined by the given points )
Given the points ( 0 , 5 ) and ( 1 , 3 )
Plug in the x and y values of the given points into the formula
( remember y values on top x values on bottom )
[tex]slope=\frac{5-3}{0-1} \\5-3=2\\0-1=-1\\slope=\frac{2}{-1} =-2[/tex]
Hence, the answer is D
What are the coordinates of point P on a directed line segment from R to Q such that P is 5/6 the length of the line segment.
Answer:
[tex]P = [-3/5,2.33][/tex]
Step-by-step explanation:
Given
See attachment for line segment RQ
[tex]P = \frac{5}{6}[/tex] of RQ
Required
The coordinates of P
Using line segment ratio formula, we have:
[tex]P = [\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n}][/tex]
If P is at:
[tex]P = \frac{5}{6}[/tex]
Then:
[tex]m : n = \frac{5}{6} : 1 -\frac{5}{6}[/tex]
Solve
[tex]m : n = \frac{5}{6} : \frac{6-5}{6}[/tex]
[tex]m : n = \frac{5}{6} : \frac{1}{6}[/tex]
Multiply by 6
[tex]m : n = \frac{5}{6} *6: \frac{1}{6} * 6[/tex]
[tex]m : n = 5 : 1[/tex]
By comparison
[tex]m=5\ \& n = 1[/tex]
From the attached line segment
[tex]R(x_1,y_1) = (4,-1)[/tex]
[tex]Q(x_2,y_2) = (-5,3)[/tex]
So, we have:
[tex]P = [\frac{5*-5 + 1*4}{5+1},\frac{5*3 + 1*-1}{5+1}][/tex]
[tex]P = [\frac{-25 + 4}{6},\frac{15 -1}{6}][/tex]
[tex]P = [\frac{-21}{6},\frac{14}{6}][/tex]
[tex]P = [-3/5,2.33][/tex]
There are 5 blue, 4 red, 6 magenta, and 3 yellow chips in a bag. One chip is selected at random and then a second is chosen without replacement. Find the probability that the second event will occur.
a) The second was red given that the first was blue.
b) The second was yellow given the first was magenta.
c) The second was green given that the first was red.
d) The second was red given the first was not red.
Answer:
Step-by-step explanation:
help pls! I will mark u brainliest if its correct. but pls dont put one of those links.. ty
This is a rectangular prism,
Here length = 16 m
Width = 6 m
Height = 3 m
Surface area of rectangular prism = 2( bl + lh + hb )
Where,
b – base length of the rectangular prism.
l – base width of the rectangular prism.
h – height of the rectangular prism.
Putting these values, surface area = 2(16×6 + 16×3+ 3×6)
= 2( 96+48+18) = 2×162 = 324m
hope you get it well :)
What is the volume of the right prism with height h=14cm, if the base of the prism is a triangle ABC with side AB=9cm and the length of the altitude to that side is ha= 6 cm. It is not 476cm2 btw.
Answer:
378 cm
Step-by-step explanation:
Which is a right triangle formed using a diagonal through the interior of the cube?
triangle ABE
triangle ABD
triangle ADH
triangle ACE
Answer:
ABE
Step-by-step explanation:
River City Middle School has a weekly contest. The prize is a season pass
to the city amusement park. This week's contest is to guess the number
of lemon jellybeans in a jar of 800 jellybeans. Gerald counted in 3
different sections on the outside of the jar. Here are his results:
5 lemon jelly beans out of 30 jellybeans.
4 lemon jelly beans out of 22 jellybeans.
2 lemon jelly beans out of 12 jellybeans.
based on his sampling, how many lemon jellybeans should he guess are in the jar? Show the mathematics you used to support your answer !
PLEASE HELP
Answer:
150 lemon jellybeans
Step-by-step explanation:
Add the ratios up to get 12 lemon jelly beans out of 64 jellybeans.
[tex]\frac{12}{64} =\frac{x}{800}[/tex]
Cross multiply:
9600 = 64x
---> x = 150 lemon jellybeans
x+y=1212
x-y=518
please help me with it
Here,
x+y=1212••••••[tex]\bold{equation~I }[/tex] x-y=518••••••[tex]\bold{equation~II }[/tex]ADDITIONALL,both two equation.
we get that,
x+y+x-y=1212+5182x=1730x=865so,
x-y=518865-y=518y=860-518y=347The box plots below show the distribution of salaries, in thousands, among employees of two small companies.Which measures of center and variability would be best to use when making comparisons of the two data sets?
Answer:
mean and Interquartile Range (IQR)
Step-by-step explanation:
what is the taxi fare travel Rs.14 in the begining and then after 5 kilometre at the rate of Rs.38 per kilometre
the taxi fare travel rs.14=2 kilometer
Triangle theoroms, what is the value of x ?
Answer:
50.6
Step-by-step explanation:
MA=46.2-14=32.2
We have similar triangles.
That is, triangle MNP is similar to MAB.
This means, we have the following proportion to solve:
32.2/46.2=x/72.6
Multiply both sides by 72.6
32.2/46.2*72.6=x
50.6=x
WILL GIVE BRAINLIEST
Which expressions are difference of squares? Select all correct answers.
x2 + y2
x8 - 4
y2 - 25
x2 + 9
(the numbers next to the x's are exponents, i dont know how to write them on here)
Answer:
I think is x2-y2 cause the number have to be next to
Rosa says 4x and -6x are like terms, so they can be combined. Tiffany says 5a
and 5b are like terms, so they can be combined. Who is correct?
Answer:
Rosa. 5a and 5b are not like terms. The letters have to be the same
Academy sporting goods store sells two different models of a popular
fitness tracker. In one month the store sold 42 trackers for a total of
$6574. Model A costs $127 and Model B costs $189. How many of
each type of tracker was sold?
please help !! i need this done by today !!!!!! its applying systems and i suck at word problems !!
Answer:
I SUCK AT WORD PROBLEMS TOOOO LOL
Step-by-step explanation:
During math class, Erik draws a circle with a compass. The circle has a radius of 3 inches. What is the circle's diameter?
Answer: 6 inches
Step-by-step explanation:
The diameter is double the radius
The volume of a cube is 365cm3.
Work out the length of its side rounded to 1 DP.
Answer:
12.4
Step-by-step explanation:
rounded to 1dp
please mark as brainliest if correct
thank you
Answer:
12.4 is the answer.
Step-by-step explanation:
#CarryOnLearningfor mother's day, jen took her mother hiking. they hiked three trails. the arrowhead nature trail is 1 1/5 of a mile, the coquina bay walk is 2/10 of a mile, and the robinson preserve is 4 1/2 of a mile. how far did they hike in all?
Answer:
5 and 9/10 miles
Step-by-step explanation:
3 metal cubes that sit next to each other have sides of 5 yards are next to each other. How much total stuff can fit into the cubes?
Answer:
375[tex]yd^{2}[/tex]
Step-by-step explanation:
A ladder is placed against a building so that it reaches 35 feet up the side of the building when its base is 12 feet from the base of the building. How long is the ladder?
Answer:
35 multiplied by 12
Step-by-step explanation:
Because either you multiply it or you do sohcahtoa