Answer:
4
Step-by-step explanation:
write the standard form of the equation of the circle for which the endpoints of a diameter are (0,0) and (4,-6)
Given:
The endpoints of a diameter are (0,0) and (4,-6).
To find:
The equation of the circle.
Solution:
The endpoints of a diameter are (0,0) and (4,-6). So, the length of the diameter is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(-6-0)^2+(4-0)^2}[/tex]
[tex]d=\sqrt{36+16}[/tex]
[tex]d=\sqrt{52}[/tex]
[tex]d=2\sqrt{13}[/tex]
Now, radius is half of the diameter.
[tex]r=\dfrac{2\sqrt{13}}{2}[/tex]
[tex]r=\sqrt{13}[/tex]
Center of the circle is the midpoint of the endpoints of a diameter.
[tex]Center=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Center=\left(\dfrac{0+4}{2},\dfrac{0+(-6)}{2}\right)[/tex]
[tex]Center=\left(\dfrac{4}{2},\dfrac{-6}{2}\right)[/tex]
[tex]Center=\left(2,-3\right)[/tex]
Standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where, (h,k) is center and r is radius.
The center of the circle is (2,-3) and radius is [tex]\sqrt{13}[/tex]. So,
[tex](x-2)^2+(y-(-3))^2=(\sqrt{13})^2[/tex]
[tex](x-2)^2+(y+3)^2=13[/tex]
Therefore, the standard form of the circle is [tex](x-2)^2+(y+3)^2=13[/tex].
Use the rules of transformations to compare the graphs of the functions, f(x) =1/x
and g(x) =5/x-1
following options represents the asymptotes of the functions, f(x) and g(x) Select all that apply.
y= -1
y=0
x=-1
y=1
X= 2
Answer:
first and second
Step-by-step explanation:
asymptote of 1/x is y= 0 and x=0 (buut x=0 isn't on here)
asymptote of 5/x-1 is the same as 1/x-1, so y = -1 and x= 0
you can graph it on desmos
Determine the input value for which the statement
f(x) = g(x) is true.
From the graph, the input value is approximately .
f(x) = 3 and g(x) = x – 2
3 = x – 2
5 = x
The x-value at which the two functions’ values are equal is .
Answer:
The x-value at which the two functions' values are equal is 5.
Step-by-step explanation:
Let [tex]f(x) = 3[/tex] and [tex]g(x) = x-2[/tex], if [tex]f(x) = g(x)[/tex], then:
[tex]x - 2 = 3[/tex]
[tex]x = 3+2[/tex]
[tex]x = 5[/tex]
The x-value at which the two functions' values are equal is 5.
Hello! :)
Please help me solve this + explain your answer :)
I will indeed give you Brainlst <3
Answer:
C. 350 - acres of pumpkins
Step-by-step explanation:
The Uncle owns 510 acres, and wants 190 more acres of pumpkin than squash totaling at 510.
When looking at the possible answers D is automatically wrong since the Uncle only owns 510 acres. When I added A and C I got 510 as an answer;
160 + 350 = 510
So he wants 190 more pumpkin acres than squash so 160 represents the squash and 350 represents the pumpkin.
160 + 190 = 350
--------------------------------------------------------------------------
Another way to find the answer is by taking 510 and subtracting 190 then dividing by two;
510 - 190 = 320
320 / 2 = 160
160 + 190 = 350
Then 160 would be squash and 350 would be pumpkin.
I hope this helps!
Sand for use on icy roads is stored in a conical pile 14.2 m high and with a base diameter of 34.4 m calculate the volume of the pile if one sander can take 6.9 m of sand, how many sanders can be filled from the pile
Answer:
1. The volume of the pile is 4,399.7719 m^3
2. The number of sanders to be filled from a pile is 638
Step-by-step explanation:
Here, we firstly would calculate the volume of the pile
Mathematically, that will be;
V = 1/3 * pi * r^2 * h
from the question, h = 14.2
Mathematically, r = d/2
r = 34.4/2 = 17.2 m
So the volume will be:
V = 1/3 * 3.142 * 17.2^2 * 14.2
V = 4,399.7719 m^3
To find the number of sanders to be filled,
we simply divide the volume obtained by the volume a sander can take
That will be;
4,399.7719/6.9
= 637.6 which is 638
write a polynomial in factored form with solutions of
Answer:
The factored form of a polynomial means it is written as a product of its factors. The factors are also polynomials, usually of lower degree.
Sophie, Leroy, Jose, and Maddie all work for the same IT company. Match each employee with their type of earned income.
a. Sophie is an independent contractor.
b. Leroy is a salaried employee.
c. Jose works on commission.
d. Maddie is an hourly employee.
1. This employee is paid a specific amount for each hour that they work.
2. This employee does not have payroll taxes withheld from their paycheck.
3. This employee is paid a percentage of all revenue that they generate for the company.
4. This employee will often work 50 hours per week but receives the same amount of pay for the weeks that they only work 40 hours.
2(5x+7)=16
what the answer?
Answer:
x = 1/5
Step-by-step explanation:
2(5x + 7) = 16
2 * 5x + 2 * 7 = 16
10x + 14 = 16
10x = 16 - 14
10x = 2
x = 2/10
x = 1/5
Simplify 6(5x-1)-3(2x-10)
Answer:
30x-6-6x-30
30x-30x-6-6
0-12
-12
At HEB 8 bags of chips costs $24. At this rate, how much would 3 bags cost
Answer: $9.00
Step-by-step explanation:
Mia is making pickles. She uses 3/4 cup of salt when she has 9 pounds of cucumbers. How much salt will Mia use when she has 3 pounds of cucumbers?
Answer:
1/4 cup of salt. .........
One-third of Olivia’s age, increased by 12, is equal to twice her age, decreased by 3. How old is Olivia?
Answer:
the answer is 9
Step-by-step explanation:
Why do you think most people who have lived
on our planet would have been suspicious of negative
numbers?
Answer:
I do not know
Step-by-step explanation:
I guess because negative represents going down :/
if there are 45 seats in 9 rows how many seats are in 1 row.
Answer: Their is 5 seats in 1 row.
Step-by-step explanation: 9x5=45 and 45÷9=5
PLEASE HELP!! ITS ALMOST DUE!! ILL MARK BRAINLIEST!!!
Answer:
25 units should be right
Step-by-step explanation:
prove me wrong
Which set of ordered pairs represents a function?
{(-3,1), (8, -2), (0,0), (8,6)}
{(-1,-8),(-8, –3), (-8,-7), (4,1)}
{(-3,-8),(-3,-7), (2,-7), (6,-4)}
{(1,-1),(-3,-8), (8, -1),(0,5)}
B.
explanation:
whhdhdhdhehehgaahakkabdvdvhabs
An osprey flying horizontally 100 feet above a lake spots a fish below. It tilts its flight path downward by 45°. If the osprey is diving at 45 mph, at what rate is its altitude changing (rounded to the nearest foot per second)?
Answer: the rate at which its altitude is changing is -47 ft/s
Step-by-step explanation:
Given that;
ds/dt = 45 mph = 45 × 5280/3600 = 66 ft/sec
no we have to determine dx/dt
so
cos∅ = dx/dt / ds/dt
cos45° = dx/dt / 66
dx/dt = 0.7071 × 66
dx/dt = 46.6686 ≈ 47 ft/s ( as altitude is decreasing, its negative - )
so the rate at which its altitude is changing is -47 ft/s
20 to the power of 3 divided by 2
Answer:
4000
Step-by-step explanation:
20 to the power of 3 is 8000 and 8000/2 is 4000
help help help with this
Answer:
11/2
Step-by-step explanation:
y = mx + b is the equation
m = slope is change of y over change of x
(7)- (-4) / (-4) - (-6) = 11/2
please help ASAP pleassssseeeee
Answer:
4 miles.
Step-by-step explanation:
We know that Molly travels 20 miles in 5 hours, so we can divide by 5 to find out how many miles she travels in 1.
20/5 = 4/1
Therefore, Molly travels 4 miles per hour.
Answer: 4 miles in one hour
Step-by-step explanation:
If molly goes 20 miles in 5 hours divide 20 miles by 5 hours and you get 4 miles in 1 hour
Need help if u do I will put brainliest
PLEASEEEE I WWILLL GIVE BRAINLEIST 6b. In Renton the sales tax is 9%. What is the total cost including tax on a $20 purchase?
Bo, Ryan and Zachary went for a walk. They walked 1/4 miles from school to Bocas House. Then they walked 4/6 miles From Paul’s house to the park. What is the total distance with the boys walked?
Answer:
Total distance walked by boys = [tex]\frac{11}{12}[/tex] miles
Step-by-step explanation:
Given that:
Distance walked from school to Bocas house = 1/4 miles
Distance walked from Paul's house to the park = 4/6 miles
Total distance walked = [tex]\frac{1}{4}+\frac{4}{6}[/tex]
Total distance walked = [tex]\frac{3+8}{12}[/tex]
Total distance walked = [tex]\frac{11}{12}[/tex] miles
Hence,
Total distance walked by boys = [tex]\frac{11}{12}[/tex] miles
PLEASE ANSWER GIVING 30 POINTS
Answer:
this is only 15points but ok
Step-by-step explanation:
answer: D)
Answer:
The answer should be 15.
Step-by-step explanation:
[tex]\sqrt[3]{125}[/tex] Factor 125 = [tex]5^{2}[/tex] x 5. Rewrite the square root of the product [tex]\sqrt{5^{2}X5 }[/tex] as the product of square roots. [tex]\sqrt{5^{2} }[/tex] [tex]\sqrt{5}[/tex]. Take the square root of [tex]5^{2}[/tex].
[tex]3[/tex] x [tex]\sqrt[5]{5}[/tex] Multiply 3 and 5 to get 15.
[tex]\sqrt[15]{5}[/tex]
What is the combined length of all the buttons longer than 1 inch
Answer:
Where is the problem to solve?
Step-by-step explanation:
Please help me. Thank you...
9514 1404 393
Answer:
V = (x)(10-2x)² . . . . factored form
V = 4x³ -40x² +100x . . . . standard form
Step-by-step explanation:
A square with corners cut out has no volume. It is a plane figure.
__
We presume you are interested in the volume of the open-top box obtained by folding up each "ear" of the cut figure. The length of each side of its square bottom is 10-2x. The depth of the box is x. So, the volume is ...
V = LWH = (10-2x)(10-2x)(x)
V = x(10 -2x)²
_____
The graph shows the volume is a maximum when x = 1 2/3 cm.
3/2 as a mixed number
Answer:
Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
1 1/2
Step-by-step explanation:
not eleven one and 1 half
Answer:
0 whole 3 upon 2
0[tex]\frac{3}{2}[/tex]
solve the inequality
Answer:
x>-1
Step-by-step explanation:
Subtract 0.7 from both sides
Find x
27 degrees and 32 degrees will give brainlist
Answer:
x = 121°
Step-by-step explanation:
If you add up all the angles of a triangle, you get 180°.
So you must add up all the angles.
[tex]27+32+x=180\\\\59+x=180[/tex]
Next you subtract 59 on both sides.
[tex]x=121[/tex]
x should be 121°.
If you would like to check your answer, you can add up 27, 32, and 121. If it all equals to 180, then your answer is correct.
Witch fraction is equivalent to 2/3
Answer: 4/6, 6/9, 8/12, 10/15, 12/18, 14/21
Step-by-step explanation:
These r just a few hope this helps ;)