1. To transform from standard form to vertex form you need to complete the square.
To transform from vertex form to standard form multiply the equation out and combine all the like terms.
2. The attributes from vertex form would be the roots ( zeros)
From standard form the attribute would be the lowest point, also known as the vertex.
1. Could you use an inscribed prism to derive the volume of a hemisphere? Why or why not? Are there any other ways you could approximate a hemisphere, and what problems would you encounter in finding its volume?
2.Could you use a circumscribed regular n-gon as the base of a pyramid to derive the formula for the volume of a cone? Explain.
We can always get the volume of the figure whenever we get enough data to recreate that considered figure, because it provides us with necessary measurements needed for finding the volume.
When can we find the volume of a considered figure?For finding volume of the considered figure, we somehow needs measurement of its correct dimensions by which we would be able to recreate the figure. By any means, if we could get enough measurement, then we'd be able to characterize the figure, and thus, get its volume.
Case 1. Could you use an inscribed prism to derive the volume of a hemisphere? Why or why not? Are there any other ways you could approximate a hemisphere, and what problems would you encounter in finding its volume?
Yes, if the prism fits perfectly, and we know about the prism, then it would tell us about the radius of the hemisphere. For example, we can fit a cubic prism inside it, and diagonal of that cube's base will give diameter of that hemisphere.
Case 2.Could you use a circumscribed regular n-gon as the base of a pyramid to derive the formula for the volume of a cone?
Yes, because the the base of the pyramid can give the details about radius of the cone's base, and due to the n-gon being regular and circumscribed, the height of the cone would be same as that of the height of that n-gon.
Thus, we can always get the volume of the figure whenever we get enough data to recreate that considered figure, because it provides us with necessary measurements needed for finding the volume.
Learn more about volume here:
https://brainly.com/question/2952465
What force is required to lift a 50-N load with this pulley system
Answer:
The minimum force required would be 50-N!
a pair of jeans is normally priced at $56, but is currently marked down for with a 35% discount. What is the final cost of the pair of jeans?
Answer:
36.4
Step-by-step explanation:
56x.35=19.6
56-19.6=36.4
How much interest does a $407 investment earn at 6% over seven years?
Answer:
$204.98
Step-by-step explanation:
407(1+0.06)^7
611.98
611.98-407
204.98
So it made $204.98
Hope this helps
Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 42%. If they have five children, what is the probability that at least two of their five children will have that trait? Round your answer to the nearest thousandth.
ANSWER IS 0.697
Answer:
answer is 0.697 !
Step-by-step explanation:
Fine the missing length indicated.
Answer:
144
Step-by-step explanation:
the height is sqrt(65^2-25^2) = 60
the length of the unknow side of the largest triangle is sqrt((25+x)^2-65^2)
or also sqrt(x^2+60^2)
set them to equal
sqrt((25+x)^2-65^2) = sqrt(x^2+60^2)
==> x = 144
Answer:
The answer would be x=144
Can someone help me i will give extra points
For the top part, both equations are vertical angles, so both equations will equal the same angle.
(4 + 23x) = (24x)
4 + 23x = 24x
4 = 24x - 23x
4 = x
Plug in x = 4 into both equations.
4 + 23(4) = 24(4)
4 + 92 = 96
96 = 96
Since x = 4 is a solution for both equations, the angle that is equal to both is 96 degrees.
Answer: 96 degrees is the angle--------------------------------------------------------------------------------------------------------------
For the bottom part, both equations lie on the same straight line, so adding both equations together will equal 180 degrees.
(x + 120) + (x + 80) = 180
x + 120 + x + 80 = 180
2x + 200 = 180
2x = 180 - 200
2x = -20 (don't worry about having a negative solution)
x = -10
Plug in x = -10 into both equations.
(-10) + 120 + (-10) + 80 = 180
110 + 70 = 180
180 = 180
Since x = -10 is a solution for both equations, the angle for equation (x + 120) is 110 degrees and angle for equation (x + 80) is 70 degrees.
Answer: Since the question asked to find a measure of the angle indicated in bold, the angle measure is 70 degrees.Anna likes to skate at a candy store that is due south of her school and due west of her favorite skate park. If the candy store is 8 miles from her school and the straight-line distance between the school and the skate park is 10 miles, how far is the candy store from the skate park?
Answer:
6 miles
Step-by-step explanation:
Given that the candy store that is due south of her school and due west of her favorite skate park, the distance between the the school and the skate park when considered with the distance between the candy store and her school and that between the candy store and her favorite skate park gives us a right angled triangle.
The distance between the school and the skate park is the longest side (hypotenuse of the triangle so formed). As such, using Pythagoras theorem
10^2 = 8^2 + x^2 where x is the distance between the Candy store and the skate park
100 = 64 + x^2
100 - 64 = x^2
36 = x^2
6^2 = x^2
x = 6
The distance between the candy store and the skate park is 6 miles
helllkkklppppppp plzzzzzzzzz
Answer:
4. 28 sq. inch
Step-by-step explanation:
First, Area of the square = l² = 2² = 4
Area of the triangle = 1/2 x b x h
= 1/2 x 2 x 6
= 6
Total surface area = Area of square + 4 x area of triangle
= 4 + 4 x 6
= 28
These problems are so confusinggggggg
Answer:
C (both)
step by step explanation:
Answer:
C. Both (1, 11) and (-1, -5)Step-by-step explanation:
y = 8x + 3Substitute the values of (x, y)
(1, 11)
11 = 8*1 + 311 = 11yes(-1, -5)
-5 = 8(-1) + 3-5 = -8 + 3-5 = -5 yesBoth pairs are solutions
Correct choice is C
If x=6 and y=−2, evaluate the following expression:2xy
Step-by-step explanation:
[tex]2(6)( - 2) = \\ = 2( - 12) = \\ = - 24[/tex]
Timberly spent 3 4/5 hours in Misty spent 2 1/10 hours at gymnastics practice over the weekend. How many more hours did Timberly spend than Misty at the gymnastics practice?
Answer:
Step-by-step explanation:
The common denominator of these 2 fractions is 10.
Turn the mixed number 3 4/5 into an improper fraction which would be
19/5.
Then multiply the numerator and denominator with 2 to get the denominator to be 10.
19/5 x 2 = 38/10
Now turn 2 1/10 into an improper fraction= 21/10
Now subtract...
38/10 - 21/10 = 17/10
So Timberly spent 17/10 or 1 7/10 more hours then Misty at the gymnastics practice
What is 13^2 ? Help me !
Answer:
13^2 is 169
Step-by-step explanation:
Answer:
169
Step-by-step explanation:
13^2 is 13x13= 169
Hope this helps :)
(PS I included an explanation on exponents)
when you have an exponent you multiply the base number by itself as many times as the exponent says.
Example: 13^5
13 x 13 x 13 x 13 x 13= 371,293
find the value of 9w - 10 given that -5w-8=7.
simplify your answer as much as possible.
Answer:
w= -3, therefore the value of 9w-10= -37
Step-by-step explanation:
i hope this helps :)
Write the equation of a line that is parallel to y = -2/3 x + 1 and passes through the point (-6,-1).
Jack has $37 and saves $6.50 per week. Diane has $9 and saves $8.25 per week. Define a variable, then write and solve an equation to find out how many weeks it would take for Jake and Diane to have saved the same amout of money.
Answer:
Defining variable: x = per week
Equation: 37 + 6.5x = 9 + 8.25x
Answer: 16 weeks
Step-by-step explanation:
x = per week
Jack:
37 + 6.5x
Diane:
9 + 8.25x
Equation:
37 + 6.5x = 9 + 8.25x
-1.75x = -28
x = 16
I'm d u m b so I can't figure this out lol
When you became a manager, your 49478 annual salary increased 22%. You found the new job too stressful and requested a return to your original job. You
resumed your former duties at a 23% reduction in salary. How much are you making at your old job after the transfer and return? Estimate your answer to 0
places after the decimal.
Answer:
$46,479
Step-by-step explanation:
22% of 49478 is 10885.
You add them.
60363.
Then take 23% of that which is 13883.
Then subtract them.
$46,479
Hope this helps
In the triangle shown below, the side lengths are given in terms of x.
What is the length of the longest side of the triangle when x=8
Step-by-step explanation:
In a triangle, the hypotenuse is the longest side
=>7x+3
=7(8)+3
=56+3
=59
Hometown Gym charges a $200 membership fee and $45 per month. Local Gym charges a $50 membership fee and $55 per month. Write an equation to represent the situation. After how many months will the total amount of money paid to both gyms be the same?
Answer:
=> membership fee = $50
=> monthly fee = $55
=> First month = 105$
=> 50 + 55(x)
=> 50 + 55 (15)
=> 50 + 825
=> 875
Workout gym
=> membership fee = $200
=> monthly fee = $45
=> First month = 245$
=> 200 + 45(x)
=> 200 + 45(15)
=> 200 + 675
=> 875
plz help me whoever first answers get brainliest
Answer:
J
Step-by-step explanation:
what is the area of the following shape
Answer:
23
Step-by-step explanation:
if you break this shape into 2 shapes it will be easier to solve
20 POINTS! PLEASE HELP ME! WILL GIVE BRAINLIEST! A large pizza has a circumference of approximately 43.96 inches. What is the diameter of the pizza? Use 3.14 for pi
Answer:
d = 14
43.96/3.14 = 14
hope that helps
Answer:
The diameter of the pizza should be 14.
help asap
which best describes this equation
10+6 x=15+9 x-3 x
a one real solution
b the solution is 0
c no real solutions
d an infinite number of solutions
Answer:
c. no real solutions
Step-by-step explanation:
because:
1. 10+6x=15+9x-3x
6x+10=15+9x-3x
2. 6x+10=15+9x-3x
6x+10=15+6x
3. 6x+10=15+6x
6x+10=6x+15
4. 6x+10=6x+15
6x+10-10=6x+15-10
5. 6x=6x+5
6. 6x=6x+5
6x-6x=6x+5-6x
Then you get:
0=5
remember, If you want to know if an equation has no equation:
the constants are the numbers alone with no variables. If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur. Use distributive property on the right side first.
I hope this helps :)
Type the expression that results from the following series of steps:
Start with n, add 5, multiply by 4, then subtract 7.
Answer:
n+5×4-7
Step-by-step explanation:
Please help ASAP! Will mark brainliest if correct :)
Answer:
x is equal to 12 mm
What is the slope of the line that contains the points (6,4) and (13,5)
Answer: 1/7
Step-by-step explanation:
Answer:
(4,2) (11,3)
Step-by-step explanation:
Please help me!! Thank you:)
Answer:
it should be C 444ft^2
Step-by-step explanation:
20*24=480
6*6=36
480-36=444
Organization by the largest component of an ecosystem to the smallest
Answer:
first 2, second 4, third 3, and the last one 1
Find the equation of the exponential function represented by the table below:
x у
0 0.01
1 0.02
2 0.04
3 0.08
Answer:
y = 0.01 * 2ˣ
Step-by-step explanation:
f(x) = xⁿ
0: 0.01 = 0.01 * 2⁰ = 0.01 * 1 = 0.01
1: 0.02 = 0.01 * 2¹ = 0.01 * 2¹ = 0.02
2: 0.04 = 0.01 * 2² = 0.01 * 2² = 0.04