hi
You have two points A ( X;Y) and B ( X ; Y)
slope is : ( Yb -Ya) / (Xb -Xa )
A(2 ; 1) and B (17 ; - 17)
so : (-17 - 1 ) / (17 -2) = -18/ 15 = - 6*3 / 5*3 = -6/5
Julie has a square-shaped driveway with an area of 256 square feet. What are the dimensions of the driveway?
Answer:
16 ft^2
Step-by-step explanation:
If it is a perfect square, all you have to do is find the square root of the area, which in this case, is 16.
A ball is dropped from a height of 8 feet. If every time it bounces, it bounces 60% of its previous height, what is the total distance traveled by the ball?
Answer:
20feetStep-by-step explanation:
Initial height of the ball = 8feet
If it bounces 60% of its previous height, its new height will be;
60% of 8
= 60/100 * 8
= 480/100
= 4.8 ft
If it bounces 60% of its current distance, new height will be expressed as;
60% of 4.8
= 0.6 * 4.8
= 2.88
The height of the ball will keep reducing and form a geometric progression of the form 8, 4.8, 2.88...
In order to get the total distance traveled by the ball, we need to calculate the sum to infinity of the sequence;
S∞ = a/1-r where;
a is the first term = 8
r is the common ratio
[tex]r = \frac{4.8}{8} = \frac{2.88}{4.8}\\r = 0.6[/tex]
Substitute into the formula;
S∞ = a/1-r
S∞ = 8/1-0.6
S∞ = 8/0.4
S∞ = 20feet
Hence the total distance traveled by the ball is 20feet
A scuba diver dove from the surface of the ocean to an elevation of -59 9/10 feet at a rate of -18.4 feet per minute. After spending 12 minutes at that elevation, the diver ascended to an elevation of -18 9/10 feet. The total time for the dive so far was 19 1/8 minutes. What was the rate of change in the diver's elevation during the ascent? Round your answer to the nearest hundredth.
The rate of change of the diver's elevation was _______ ft/min.
Please include all of the work required to complete the mathematical problem. I would really appreciate it! <3
Answer:
The rate of change of the diver's elevation was 10 53/89 ft./min
Step-by-step explanation:
The given parameters are;
The initial elevation of the diver = 0 feet (Ocean surface level)
The depth to which the diver dove = -59 9/10 feet
The rate at which the diver descended = -18.4 feet/minute
The duration the diver spends at the elevation, t₁ = 12 minutes
The depth to which the diver ascended to = -18 9/10 feet
The total time the diver takes so far in the ocean, [tex]t_{(tot)}[/tex] = 19 1/8 minutes
Therefore, we have;
The time it takes the diver to descend to -59 9/10 feet t₂ = -59 9/10/(-18.4) = 3 47/184 minutes
The duration of the divers ascent = [tex]t_{(tot)}[/tex] - t₁ - t₂ = 19 1/8 - 12 - 3 47/184 = 3 20/23 minutes
The rate of change of the divers elevation in ascent = Distance of elevation/Time
The rate of elevation of the divers elevation in ascent = (-18 9/10 - (-59 9/10))/(3 20/23) = 41/(3 20/23) = 943/89 feet/minute = 10 53/89 feet/minute
The rate of change of the diver's elevation = 10 53/89 ft./min ≈ 10.6 ft./min.
An arts academy requires there to be teachers for every students and for every . How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has ?
This question is incomplete
Complete Question
An arts academy requires there to be 5 teachers for every 90 students and 3 tutors for every 30 students.
How many students does the academy have per teacher?Per tutor?
How many tutors does the academy need if it has 80 students
Answer:
a) 18 students per teacher
b) 10 students per tutor
c) 8 tutors
Step-by-step explanation:
a) How many students does the academy have per teacher?
5 teachers for every 90 students
Hence,
5 teachers = 90 students
1 teacher = x students
Cross Multiply
5 × x = 1 × 90
5x= 90
x = 90/5
x = 18 students
We have 18 students per teacher
b) How many students Per tutor?
3 tutors = 30 students.
1 tutor = x students
3 × x = 30 × 1
x = 30/3
x = 10 students
We have 10 students per tutor
c) How many tutors does the academy need if it has 80 students
3 tutors = 30 students.
30 students = 3 tutors
80 students = x tutors
Cross Multiply
30 × x = 80 × 3
x = 80 × 3/30
x = 8 tutors
The school needs 8 tutors for 80 students.
£800 is divided between Natasha, Richard & Stephen so that Natasha gets twice as much as Richard, and Richard gets three times as much as Stephen. How much does Richard get?
Answer:
Richard gets £240
Step-by-step explanation:
Let
Stephen's share = x
Richards share = 3x
Natasha's share = 2(3x)
Total money = £800
Total money = Stephen's share + Richards share + Natasha's share
800 = x + 3x + 2(3x)
800 = 4x + 6x
800 = 10x
Divide both sides by 10
x = 800 / 10
= 80
x = £80
Stephen's share = x = £80
Richards share = 3x
= 3(80)
= £240
Natasha's share = 2(3x)
= 2(240)
= £480
Richard gets £240
Question 3 of 10
What is the measure of RST?
A. 72°
B. 162°
C. 324°
D. 81°
Answer:
D. 81
Step-by-step explanation:
This answer was confirmed by two people in the comments.
What I did to get this answer was subtract 162 by 81 so the math that I did was to make sure I got the same number as the answers.
[tex]162-81=81[/tex] ☑
[tex]162-72=90[/tex] ☒
[tex]162-162=0[/tex] ☒
[tex]162-324=-162[/tex] ☒
So, therefore the answer is [tex]81[/tex].
I hope this helped you. :)
What are the coordinates of point S”?
Answer:A
Step-by-step explanation:
please help , giving brainliest, ONLY NUMBER 2
Answer:
-10
Step-by-step explanation:
In *W * X * Y , y = 7.8 cm angle W=26^ and angle X=76^ Find the length of w, to the nearest of a centimeter
Answer: 3.5
Step-by-step explanation:
Can you guys help with these questions!!
Answer:
You line up the letters
what is the akis of symmetry
y=2x^2-8x+1
Answer:
2
Step-by-step explanation:
Add. 8x - 7 + 6x + 8
Help. I might be dumb for not knowing this but please help
Answer:
1
Step-by-step explanation:
Answer:
14 x + 1
Step-by-step explanation:
You aren't dumb, your teacher can't teach!
First we must add the x values together:
8x - 7 + 6x + 8
8 + 6 = 14
14x -7 + 8
Now we add the constants (regular numbers):
14x -7 + 8
-7 + 8
14x +1
There we go!
8x -7 + 6x +8
is
14x +1
identify the property of equality which yields step 4
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]Division \: \: \: Property[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is (( A )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Pls help I will give u 50 points
Answer:
y=13.50x
Explanation:
Answer:
Step-by-step explanation:
stop the cappppppppppp
Randy bought 6 candy bars for $7.20. What is the cost per candy bar? PLS HELP FAST IT IS WORTH 45 POINTS AND MY GRADE
Answer:
$1.20 per candy bar
Step-by-step explanation:
7.2 ÷ 6 = 1.2
Miguel bought 4 pounds of walnuts for $10.92. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of walnuts, x?
2.73
For each pound of walnuts, it costs $2.73.
All you have to do is divide 10.92 by 4.
the sum of three and a number is added to twenty four I need to translate each verbal expression in to a algebraic expression
Answer:
(3+x)+24
Step-by-step explanation:
24+(3+x)
Since addition is communitive, you could take out the parenthesis.
24+3+x
Hope this helps. Have an AWESOME night!!! :)
Bob uses 16 planks of wood to make 4 beehives. How many planks of wood will he need to make 9 beehives?
Answer:
36
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Of the 25 fish that Karl caught
from the lake, 7 were trout. The
estimated population of the lake is
6,500 fish. About how many trout
would
you expect to be in the lake?
Answer:
1,820 trout
Step-by-step explanation:
Set up a proportion where x is the number of trout in the lake:
[tex]\frac{7}{25}[/tex] = [tex]\frac{x}{6,500}[/tex]
Cross multiply and solve for x:
25x = 45,500
x = 1820
So, you could expect 1,820 trout to be in the lake.
What would be the missing angels
Answer:
X=51
y=39
Step-by-step explanation:
x=90-39=51
y=90-51=39
How many positive divisors does the number 24 have?
HELP!!BRAINLIEST AND 10 POINTS !! <3 ALSO THIS SAYS -X SO PLEASE HELP WITH THAT !! THANK YOU
Use the formula (n−2)×180◦ figure out the sum of the angle measures of the Trapezoid.
Answer: 360 degrees
Step-by-step explanation: There are 4 sides in an angle. Substitute that value in for n and u have: (4-2) x180. After doing that, subtract inside the parenthesis and multiply your difference by 180. You should get 360 degrees. I hoped this helped.
Answer:
360!!!!!!!!!!!!!!!!!!!! ;)
Step-by-step explanation:
25+25= so first u want to add 5+5so that equals 10 so u put the one on the top of 2 then u add2+2+1 so that equals 5 so ur answer would be 50
Answer:
So you pretty much just solved your math by yourself :)
Step-by-step explanation:
The question is in the image! Please help if u can its due really soon
Answer:
Angle STR = 78°
Step-by-step explanation:
So, since line QS is a straight line, we know that it's 180°. We also know that angles QTR and STR both add up to 180°. That gives us an equation:
20x + 12 + 10x + 33 = 180
Combine like terms
30x + 45 = 180
Subtract 45 from both sides
30x = 135
Divide both sides by 30
x = 4.5
Now we know the value of x. We just need to plug it into angle STR's given value:
10(4.5) + 33 = angle STR
45 + 33 = angle STR
78° = angle STR
At time t minutes, the position of a body moving along the s-axis is s= t cubed - 27t squared + 200t feet. a. Find the body's acceleration each time the velocity is zero.
Step-by-step explanation:
Given the expression for the position of a body moving along the s-axis expressed as;
[tex]s = t^3-27t^2+200t[/tex]
The acceleration of the body function will be gotten by finding the second derivative of the displacement function as shown;
[tex]\frac{ds}{dt} = 3t^2-2(27)t+200\\ \frac{ds}{dt} = 3t^2-54t+200\\\\\\a = \frac{d^2s}{dt^2} = 2(3)t-54\\a = \frac{d^2s}{dt^2} = 6t-54\\[/tex]
First we need to get the time taken when the velocity is zero.
[tex]Given \ v(t) = \frac{ds}{dt} = 3t^2-53t+200\\at \ v(t) = 0\\0 = 3t^2-54t+200\\[/tex]
factorize;
t = 54±√54²-4(3)(200)/2(3)
t = 54±√2916-2400/2(3)
t = 54±√516/6
t = 54±22.72/6
t = 54+22.72/6 and 54-22.72/6
t = 12.79s and t = 5.21s
Get the acceleration;
at t = 12.79
a = 6t-54
a = 6(12.79)-54
a = 76.74-54
a = 22.74m/s²
at t = 5.21
a = 6t-54
a = 6(5.21)-54
a = 31.26-54
a = -22.74m/s²
Hence the body's acceleration each time the velocity is zero are 22.74m/s² and -22.74m/s²
What is an equation of the line that passes through the point (-2,8) and has a slope 3?
Answer:
y=3x+8
Step-by-step explanation:
i need some help please
Answer: 2.4 x 10^8
Step-by-step explanation:
Answer: 2.4x10^8
Step-by-step explanation:start from the end and move the decimal point all the time way up to the middle of 2 and 4 and u move 8 times to get there which is how we got the exponent 8
Which of the following best describes the function graphed below? (1 point) A graph shows a straight slanting line that starts at a point on the y-axis and goes down to touch the x-axis. Question 14 options: 1) Nonlinear increasing 2) Nonlinear decreasing 3) Linear increasing 4) Linear decreasing
Answer:
linear decreasing
Step-by-step explanation:
cause it is a straight line and it's going down so it's decreasing.
Answer:
linear decreasing
Step-by-step explanation:
the answer that will appear before mine is right
408 = 12x + 16y solve for both x and y?
Answer:
Slope= − 1.500/2.000
= -0.750
x intercept= 102/3
= 34
y−intercept= 102/4
= 51/2
= 25.50000
Step-by-step explanation:
sorry if this is wrong, I tried!