Answer:
Step-by-step explanation:
Area = 3.14r^2
Area = 3.14(5)^2
Area = 3.14(25)
Area = 78.5
What is the slope of -2,-5 and 18,-5
Answer:
Quadrant III and Quadrant I
Step-by-step explanation:
Answer:
Zero; 0
Step-by-step explanation:
(-5+5)/(18+2) = 0
Please discuss the relationship between the value of "a" in a quadratic function [y = a(x - h)2 + k or y = ax2 + bx + c] and the distance the focus is from the vertex. Please give examples to support your conclusion.
Please Help!
Answer:
The given equations are;
y = a·(x - h)² + k or y = a·x² + b·x + c
We have;
(x - h)² = 4·p·(y - k),
Where;
(h, k) are the x, and y coordinates of the vertex
p = The distance from the focus to vertex distance;
Comparing, we have;
y - k = a·(x - h)²
(y - k)/a = (x - h)²
(x - h)² = 4·p·(y - k)
4·p·(y - k) = (x - h)²
∴ 4·p = 1/a
p = 1/(4·a)
Therefore, the focus to vertex distance inversely proportional to the value of a
The distance of every point on the parabola is equidistant from the directrix and the focus
Therefore, the equation of the directrix is y = k - p
For example, we have;
y = 2·x² + 3·x + 1
h = -b/2a = -3/4
k = (4ac - b²)/4a = (4×2×1 - 3²)/(4×2) = -1/8
The coordinate of the focus is (h, k + p) = (-3/4, -1/8 + 1/8) = (-3/4, 0)
The directrix, y = k - p = -1/8 - 1/8 = -1/4
For a point x = 2, we have, y = 2·2² + 3·2 + 1 = 15
The coordinate of the point is (2, 15)
The distance of the point from the directrix = 15 - (-1/4) = 15 + 1/4 = 15.25
The distance of the point from the focus is √((2 - (-3/4))² + (15 - 0)²) = 15.25
Therefore, all points on the parabola have equal distances from the focus and the directrix
Step-by-step explanation:
f(x) = x + 6
x=-2, 0, and 5
Answer:
f(x)=x+6
-2+6
4
when x=0
0+6
6
when x=5
5+6
11
Step-by-step explanation:
Divide using polynomial long division. (Show your work)
Hint: don’t forget the 0x
(x^3-2x^2+4) ÷ (x+3)
Answer:
x^3−2x2+4x+3=x2−5x+15+−41x+3
Step-by-step explanation:
1.Divide the leading term of the dividend by the leading term of the divisor: x3x=x2.
Write down the calculated result in the upper part of the table.
Multiply it by the divisor: x2(x+3)=x3+3x2.
Subtract the dividend from the obtained result: (x3−2x2+4)−(x3+3x2)=−5x2+4.
2.Divide the leading term of the obtained remainder by the leading term of the divisor: −5x2x=−5x.
Write down the calculated result in the upper part of the table.
Multiply it by the divisor: −5x(x+3)=−5x2−15x.
Subtract the remainder from the obtained result: (−5x2+4)−(−5x2−15x)=15x
3.Divide the leading term of the obtained remainder by the leading term of the divisor: 15xx=15.
Write down the calculated result in the upper part of the table.
Multiply it by the divisor: 15(x+3)=15x+45.
Subtract the remainder from the obtained result: (15x+4)−(15x+45)=−41.
For each question, solve for the length of the unknown side, as
denoted by the variable. You may round your answers to the nearest
tenth, if necessary. Make sure you show all steps needed to solve the
problem.
Answer:
[tex]a=9[/tex]
Step-by-step explanation:
In this problem, you can use the Pythagorean Theorem ([tex]a^{2} +b^{2} =c^{2}[/tex]) to find what a is. The steps are shown below:
Steps (variables a, b, and c are in italics):
-You can rearrange the formula from the Pythagorean Theorem, which is[tex]a^{2} +b^{2} =c^{2}[/tex] to only get a because we want to know what a is.
Rearranged: [tex]a=\sqrt{c^{2}-b^{2} }[/tex] or [tex]a=-\sqrt{c^{2}-b^{2} }[/tex] It has to ways/options for a because when finding the square root of a number, it can be either positive or negative. But in this problem, it’s going to be positive because we’re finding the length of something.
-Since we know what c and b are, you can plug them into the new formula:
[tex]a=\sqrt{15^{2}-12^{2} }[/tex]
-Simplify it:
[tex]a=\sqrt{225-144}[/tex]
-Subtract inside the radical:
[tex]a=\sqrt{81}[/tex] Then simplify it to get [tex]a=9[/tex].
You can check your answer by putting a back into the original Pythagorean Theorem formula ([tex]a^{2} +b^{2} =c^{2}[/tex]):
Steps
-Plug a, b, and c into the formula [tex]a^{2} +b^{2} =c^{2}[/tex]:
[tex](9)^{2} +(12)^{2} =(15)^{2}[/tex]
-Simplify to get:
[tex]81+144=225[/tex]
-Add:
[tex]225=225[/tex] This is very true. So our answer is correct.
ANSWER: [tex]a=9[/tex]
Sorry for the long explanation, but I hope you understand and that this helps with your question! :)
Answer:
a = 9Step-by-step explanation:
lets make is short and simple
Pythagorean theorem: a² + b² = c²
a² + 12² = 15²
a² = 15² - 12²
a = √81
a = 9
Evaluate f(x) = - 3x - 4 for x = 1 .
[tex]f(x)=-3x-4[/tex]
Substitute x = 1 in the equation.
[tex]f(1)=-3(1)-4\\f(1)=-3-4\\f(1)=-7[/tex]
Therefore, the answer is f(1) = -7
Jill has a photograph that is 4 inches wide by 6 inches high. If she enlarges it so that the width is 12
inches, what will be the height?
Answer:
The inches in height will be 18 inches.
Step-by-step explanation:
Okay so we know that the original width is 4 inches and she enlarged that to 12 inches
So what we first have to do is find out how much did the photograph "grow" per se. To find this we have to divide 12 by 4. 12 divided by 4 = 3.
So, the width of the photograph grew "times 3" inches
Now whatever you do to the width you have to do to the height. In this case, what is "3 times" 6 (which is the height). 3 times 6 = 18 inches
So in simpler words 12 divided 4 = 3 x 6 = 18 inches
The inches in height will be 18 inches.
Jill has a square with a width of 12 inches, and a height of 18 inches.
Have a wonderful day!
A car travels 60 miles due north then makes a turn due west. It travels 72 miles west. How far is the car from ils starting point?
Answer:
132 miles
Step-by-step explanation:
Answer: the answer is 93.7 miles
-8 + 2/3x + 4 = 2x -5-x
PLEASE FIND WHAT X IS!!! Also, please show steps so I can understand!♀️
I will give brainiest to correct answer WITH STEPS!!!
Answer:
3
Step-by-step explanation:
Let's isolate x on one side.
2x - x - 2/3x = -8+5+4
1/3x=1
x=3
Answer:
X = 3
Step-by-step explanation:
-8 + 2/3x + 4 = 2x - 5 - x
2/3x - 2x - x = -5 + 8 - 4
-1/3x = -1
x = -1 * -3
x = 3
2n + 3 = -3.2 what is the answer to n
Answer:n=-3.1
Step-by-step explanation:
2n + 3 = -3.2
Subtract 3 on both sides
2n+3-3=-3.2-3
2n=-6.2
Divide 2 on both sides
2n/2=-6.2/2
n=-3.1
Answer:
n= -3.1
Step-by-step explanation:
hope this helps have a nice day :)
|8|+|-7| its 15 right?
Answer:
Yes. |8|+|-7| = 15
Step-by-step explanation:
the absolute cancels out the -, so it would mean that -7 is now positive 7, so yes it'd be 15
Which expression is equal to 6(−3m)4
Answer: -18m x 4 (I think)
Step-by-step explanation:
If this isn’t correct, what you have to do is simplify, hopefully this helps
If∠
Answer:
where is tge other half question?
Ben ran for president of his class. If there are 410 students and he received 70% of the vote, how many students voted for Ben?
Answer:
287
Step-by-step explanation:
70/100*410
(cross out the zeroes then multiply 7 by 41 and you'll get 287)
PLEASE HELP ASAP DUE In 5 MINUTES
A boy saved over $5. His father gave him $2. The boy now had $y altogether. Write an inequality in y
Answer:
$7 total
Step-by-step explanation:
$5 + $2 = $7
This is 8 grade math plZ help me I’m stuck
9514 1404 393
Answer:
y = -3/4x -1
Step-by-step explanation:
The given equation is in the slope-intercept form, which lets you see that its slope is 4/3.
The slope of the perpendicular line will be the negative reciprocal of this:
-3/4
Then the slope-intercept form equation will be ...
y = -3/4x +b . . . . . . for some b
We can find the value of b that makes the line go through (4, -4) by using those values in this equation.
-4 = -3/4(4) +b
-4 +3 = b . . . . . . . . add 3
-1 = b
Then the equation you're looking for is ...
y = -3/4x -1
Find the discriminant and state the number and type of solutions.
-3.02 - 6x + 5 = 8
barney has 14 dimes and quarters worth $2.15. write the system of equations
Answer: 14 dimes and 3 quarters
Step-by-step explanation:
14x10=140+25=165+25=190+25=215 aka $2.15 meaning that there is 14 dimes and 3 quarters
One-third cup of black beans provides 20% of the potassium you need daily. You must get the remaining 1,360 milligrams from other sources.
How many milligrams of potassium should you consume daily?
____ milligrams
find the slope of the line
Answer:
Up 5, 2 to the right (5/2)
Step-by-step explanation:
I just counted the units of the Cartesian Plane
HELP I WILL MARK U BRAINEST what is (29/59)*(42/24)
btw / means divide
Answer:
0.86016949152
Step-by-step explanation:
This is the answer because 29 divided by 59 is 0.49152542372 and 42 divided by 24 is 1.75 and 0.49152542372 multiplied by 1.75 is 0.86016949152
how many times larger then 2x10² is 2x10⁸
Answer:
1,000,000 times larger
Step-by-step explanation:
2 x [tex]10^{8}[/tex] = 200,000,000
2 x [tex]10^{2}[/tex] = 200
200,000,000 divided by 200 is 1,000,000
It can also be solved by subtracting the exponents from 10. Then dividing the two number being put the scientific notation.
[tex]10^{8} - 10^{2}[/tex] = [tex]10^{6[/tex]
2 ÷ 2 = 1
Now solve:
1 x [tex]10^{6[/tex] = 1,000,000
An amusement park has two types of season passes. Plan 1 charges a one-time fee of $175.00 for admission plus $8.00 every trip for parking
Plan 2 charges a one-time fee of $125.00 for parking plus $13.00 every trip for admission. For what number of trips is the cost of these plans
the same?
Answer:
The answer is stan twice
Step-by-step explanation:
simple
Answer:
x=10
Step-by-step explanation:
Enter the equation of the line in slope-intercept form. Enter the answer in fraction form.
The line perpendicular to y =
6
5
x + 2 that passes through (6, −2).
The equation of the line that passes through (6, −2) is y = .
Aubree invested $500 into a mutual fund that paid 3% interest each year compounded annually. Find the value of the mutual fund in 12 years.
Answer:
FV= $712.88
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $500
Number of periods (n)= 12 years
Interest rate (i)= 3% compounded annually
To calculate the future value, we need to use the following formula:
FV= PV*(1+i)^n
FV= 500*(1.03^12)
FV= $712.88
Answer:
25%
Step-by-step explanation:
Because she divided it
Stephanie is giving a presentation to a new client. It took her 1713 minutes to finish a 13-slide presentation. She took the same amount of time on each slide. How long did she spend on each slide?
Answer:
Time taken per slides = 131.77 minutes.
Step-by-step explanation:
Given the following data;
Total time, t = 1713 mins
Number of slides, n = 13
To find the amount of time spent on each slides;
Time taken per slides = t/n
Substituting into the equation, we have;
Time taken per slides = 1713/13
Time taken per slides = 131.77 minutes.
Therefore, the amount of time Stephanie spent on each slide is 131.77 minutes.
It took Stephanie about 1 minute to finish each slide of the 13-slide presentation.
EquationEquation is used to show the relationship between two or more numbers and variables.
Le x represent the amount of time spent on each slide.
Given that she spent 13 minutes to finish a 13-slide presentation. Therefore:
13x = 13Divide through by 13:
13x/13 = 13/13x = 1It took Stephanie about 1 minute to finish each slide of the 13-slide presentation.
Find out more on equation at: https://brainly.com/question/13763238
which one doesn’t belong?
come to your house to pick it lowest to go with D
Answer:
All of them have different answers so gonna say D because its only one number
Step-by-step explanation:
Hope this helps
sorry If its wrong
Please help I’m stupid
Answer:
it would be 70
Step-by-step explanation:
you are not stupid
Answer:
the answer is -50
Step-by-step explanation:
what's the pagathorium theorem
Answer:
c=a2+b2
Step-by-step explanation:
Find the value of x.
The side opposite the right angle is the side labelled x. ...
x=√100=10.
Maybe you remember that in an equation like this, x could also be –10, since –10 squared is also 100. ...
Find the value of y.
y=√80=√16×5=4√5.
x=√17.45≈4.18 miles.
Answer:
thats the formula
a^2 + b^2 = c^2
Step-by-step explanation:
a = side of the right angle/adjacent side
b = side of the right triangle/opposite side
c= hypotenuse