Answer:
The equation of a vertical line in the graph, that is parallel to the y-axis is x = a. The slope of a vertical line is infinity or undefined as it has no y ...
1. Write the equation that models the height of the roller coaster. Start by writing the equation of the circle. (Recall that the general form of a circle with the center at the origin is x2 + y2 = r2. (10 points) Now solve this equation for y. Remember the roller coaster is above ground, so you are only interested in the positive root. (10 points)
Answer:
a.)x² + y² = 900
b.)y = √900 - x²
Step-by-step explanation:
P.S - The exact equation is as follows :
As given,
The shape of the roller coaster is a half of a circle. Center the circle at the origin and assume the highest point on this leg of the roller coaster is 30 feet above the ground.
a.)
Equation of circle be x² + y² = r²
As given , leg of the roller coaster is 30 feet above the ground.
⇒ r = 30
⇒x² + y² = 30²
⇒x² + y² = 900
∴ we get
Equation of height of Roller coaster - x² + y² = 900
b.)
As we have, x² + y² = 900
⇒y² = 900 - x²
⇒y = √900 - x²
The equation that models the height of the roller coaster is [tex]y = \sqrt{900 -x^2[/tex]
The general equation of a circle is:
[tex]x^2 + y^2 = r^2[/tex]
From the complete question, the radius of the circle is 30 units.
This means that:
r = 30
So, we have:
[tex]x^2 + y^2 = 30^2[/tex]
Express 30^2 as 900
[tex]x^2 + y^2 = 900[/tex]
Subtract x^2 from both sides
[tex]y^2 = 900 -x^2[/tex]
Take square roots of both sides
[tex]y = \pm \sqrt{900 -x^2[/tex]
Remove the negative root
This is so because the roller coaster is above the ground, and the height will be positive.
So, we have:
[tex]y = \sqrt{900 -x^2[/tex]
Hence, the required equation is [tex]y = \sqrt{900 -x^2[/tex]
Read more about equations of circle at:
https://brainly.com/question/10244007
A ladder leans against a building. If the ladder reaches 18 feet up the wall and contacts the ground 5 feet from the building, what is the angle formed between the top of the ladder and the building?
Answer:
I think it is 15 Tan^-1 (5÷18)
Plsssssssssssssss help
Answer:
B
Step-by-step explanation:
Which of the following word problems can be solved using the equation 10 x - 15=60
Answer:
Kit buys
Step-by-step explanation:
im right
will give brainliest to first correct answer
Answer:
A or C
Step-by-step explanation:
can someone please help me!
Answer:
60
Step-by-step explanation:
can yall do me a favor, i know this random but i got played by someone so can u spaam his ig, acc name is sturdyyyyy_ just spam his comments called him a cheater and tell him he weird. please. females help a person out.
Answer:
okkkkk
Step-by-step explanation:
need help with a question
so....wts the question?
What is the volume of a right circular cylinder with a radius of 5 cm and a height of 12 cm?
O 60 cm
O 1207 cm
O 300 cm3
O 1200 cm
Answer:
Step-by-step explanation:
Area of base = πr² = 25π sq cm
Volume = πr²h = 300π cu cm
Pls help pls thank you
Answer:
2 1/2 pounds
Step-by-step explanation:
The difference between 3/4 of a number (n) and 8 is 5/8 of the number. Wut is the number
Answer:
n = 64
Step-by-step explanation:
3/4n - 8 = 5/8n
-8 = 5/8n - 6/8n
-8 = -1/8n
-n = -64
n = 64
The unknown number is 64.
Important information:
The difference between [tex]\dfrac{3}{4}[/tex] of a number [tex](n)[/tex] and 8 is [tex]\dfrac{5}{8}[/tex] of the number.Linear Equation:[tex]\dfrac{3}{4}[/tex] of a number [tex](n)[/tex] is [tex]\dfrac{3}{4}n[/tex].
Difference between [tex]\dfrac{3}{4}[/tex] of a number [tex](n)[/tex] and 8 is [tex]\dfrac{3}{4}n-8[/tex].
[tex]\dfrac{5}{8}[/tex] of the number is [tex]\dfrac{5}{8}n[/tex].
Using the given information form a linear equation.
[tex]\dfrac{3}{4}n-8=\dfrac{5}{8}n[/tex]
Now, solve the equation.
[tex]\dfrac{3}{4}n-\dfrac{5}{8}n=8[/tex]
[tex]\dfrac{6n-5n}{8}=8[/tex]
[tex]\dfrac{n}{8}=8[/tex]
Multiply both sides by 8.
[tex]n=64[/tex]
Therefore, the unknown number is 64.
Find out more about 'Linear Equation' here:
https://brainly.com/question/7244488
3. In ΔABC, AB = 5 inches and BC = 3 inches. Which of the choices represents all possible values for AC, in inches?
Answer:
2< AC<8
Step-by-step explanation:
For a triangle to exits sum of two sides must always be greater than the the third side
⇒ AC< AB+ BC =5+3=8 in
⇒AC<8 in
Also, the difference of the two sides must be smaller than the length of third side
⇒ AC> | AB-BC| = |5-3| =2
AC> 2 in
therefore, we can say 2< AC<8. Hence, AC can takes 3,4,5,6 values
Solve the equation
3s-4s=28
Answer:
-28
Step-by-step explanation:
Answer:
s=[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
4x – y = 7 3y – 12x = –21
Answer:
y= 4x − 7 or 0=0
Step-by-step explanation:
4x−y+−4x=7+−4x
what is 18.75 rounded two decimals places
The answer would be 18.8
help pls :) it’s due in a few mins
The sum of 1 and a number divided by 7 is 66
461+1=462
462÷7=66
Your answer is 461
Answer:
461
Step-by-step explanation:
Work backwards.
7 X 66=462
462-1=461
So 461 is the answer
A store offers 30% off all items. If x is the original purchase price, select all of the expressions which represent the final price with the discount.
a 0.7x
b x
c x + 0.3x
d x - 0.3x
e 12x
Answer:
D c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
not really an explanation
Hey all pls help it is urgent
Answer:
Exact Form:
32/5
Decimal Form:
6.4
Mixed Number Form:
6 2/5
Step-by-step explanation:
your gonna wanna if possible cancel the common factors.
Corey spent $17.00, inculding sales tax, on 2 sanwiches cost $5.25 each and the total sales tax was $0.92. What was the cost of each drink.
Answer:
Well to start you already know the sandwich cost 5.25 and the total sales tax .92.
To find the cost of each drink
5.25 x 2= 10.50
10.50+.92=11.42
17.00-11.42= 5.58
5.58/3= 1.86
So the cost per Drink is $1.86
Step-by-step explanation:
Hope this helped!
What is the solution to the equation −4(2y − 4) − 4y = 4? (put number answer only)
Answer:
y=1
Step-by-step explanation:
Let's solve your equation step by step.
Step 1: Simplify both sides of the equation.
−4(2y−4)−4y=4
(−4)(2y)+(−4)(−4)+−4y=4(Distribute)
−8y+16+−4y=4
(−8y+−4y)+(16)=4(Combine Like Terms)
−12y+16=4
−12y+16=4
Step 2: Subtract 16 from both sides.
−12y+16−16=4−16
−12y=−12
Step 3: Divide both sides by -12.
y=1
WILL GIVE BRAINLIEST AND 50 POINTS
what is the reactants and products of Fe2O3+3CO→2Fe+3CO2
Step-by-step explanation:
The compounds that are found on the left of a chemical reaction (the side with the arrow's tail) are the reactants. Therefore our reactants are Iron(III) oxide and Carbon monoxide.
The compounds found on the right-hand side of a chemical reaction/after the arrow are the products. Therefore our products are Iron and Carbon dioxide.
Answer:
[tex]\large \boxed{\sf Reactants \rightarrow Fe_2O_3, \ CO}[/tex]
[tex]\large \boxed{\sf Products \rightarrow Fe, \ CO_2}[/tex]
Step-by-step explanation:
The substance(s) to the left of the arrow are called reactants
The substance(s) to the right of the arrow are called products
which graph models the solution of the Inequality -6 ≤ -3x
We know that graph (B) models the solution of the given inequality -6 ≤ -3x.
What are graphs?Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) represents the function.Line graphs, bar graphs, pie charts, scatter plots, and histograms are examples of common graph types. Graphs are a fantastic tool for displaying statistics and visualizing data. To depict numerical data that is unrelated to one another, a bar graph or chart may be utilized.So, in the given inequality:
-6 ≤ -3xWe know that:
Make x subject: -6/-3 ≤ xWhich is 2 ≤ x, represented in a graph (B).Therefore, we know that graph (B) models the solution of the given inequality -6 ≤ -3x.
Know more about graphs here:
https://brainly.com/question/28953186
#SPJ2
A lion's heart beats 6 times in 8 seconds. How many heartbeats will it have in 40 seconds?
Answer:
30 times
Step-by-step explanation
Answer:
30
Step-by-step explanation:
Which polynomial is a quintic trinomial?
A.−x4−5x2+1
B. 3x5+7x2−9x4
C. x3+2x2−8x+16
D. x² + 4
Answer:
D. x^2+4Step-by-step explanation:
I have seen this exact question and this was the answer.
Hope it helps.
Two different linear functions are shown below with two points given from each function. Use slope-intercept form or point-slope form to find the equation of each. Linear Function A Points: (–5, –2), (–5, 7) Linear Function B Points: (7, –5), (–2, –5) Function A has a slope of -7a slope of 0a slope of 9no slope. The equation of line A is x = -5y = -5x = -2y = 7. Function B has a slope of -7a slope of 0a slope of 9no slope. The equation of line B is x = -5y = -5x = -2y = 7.
Answer:
5
Step-by-step explanation:
If y varies directly as x, and y =-4 when x=8, find y when x=3
Answer: Another way of looking at it!
y
=
10
Explanation:
This is a ratio question in disguise.
By parts of the question:
"When y varies directly with x"
→
y
x
"
"if y=8 when x=4"
→
.
.
y
x
=
8
4
"how do you find y when x=5"
→
y
x
=
8
4
=
y
5
so
y
=
8
×
5
4
=
10
This is the same thing as using 'k' in the other solution
Step-by-step explanation:
Carl earned grades of 62 78 59 and 89 on four math tests what is the mean if his grades
Answer:
The answer is 72
Step by step Explanation:
You add 62 + 78 + 59 + 89
And it equals 288
Then divide that answer by 4
And the answer is 72
TOPIC: You and two friends have $20 to spend on snacks after school.
Explain how you would divide the money between the three of you.
Explain where you would go and what you would buy with your money.
The Richter scale magnitude reading m is given by m=log10x , where x represents the amplitude of the seismic wave causing ground motion. Determine the reading of an earthquake that is 10 times less intense than an earthquake that measures 4.5 on the Richter scale.
Answer: The reading would be 5.5 on the Richter scale.
Step-by-step explanation:
The intensity of an earthquake that measures 4.5 on the Ritcher scale can be found by solving:
4.5 = log₁₀(x)
for x.
remember that:
logₐ(x) = ln(x)/ln(a)
Then we can rewrite our equation as:
4.5 = ln(x)/ln(10)
4.5*ln(10) = ln(x)
we also know that:
ln(exp(x)) = exp(ln(x)) = x
Then we can apply the exponential equation to both sides to get:
exp( 4.5*ln(10)) = exp( ln(x) ) = x
exp( 4.5*ln(10)) = x
x = 31,622.8
Now, if we have an intensity 10 times larger than this, we will have:
x = 10*31,622.8 = 316,228
The reading on the Richter scale will be:
m = Log₁₀(316,228) = 5.5
