Answers
Answer:
(x - 5)² + (y - 5)² = 18
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (5, 5) , then
(x - 5)² + (y - 5)² = r²
r is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (5, 5) and (x₂, y₂ ) = (8, 8)
r = [tex]\sqrt{(8-5)^2+(8-5)^2}[/tex]
= [tex]\sqrt{3^2+3^2}[/tex]
= [tex]\sqrt{9+9}[/tex]
= [tex]\sqrt{18}[/tex] ⇒ r² = ([tex]\sqrt{18}[/tex] )² = 18
Then
(x - 5)² + (y - 5)² = 18 ← equation of circle
Related Questions
The ice cream cone has a radius of 3 cm and a height of 10 cm. If the scoop of ice cream is a sphere with radius of 3.5 cm, will all of the ice cream fit inside the cone?
Answers
Answer:
No, ice cream cannot fits inside the cone.
Step-by-step explanation:
radius of cone, r = 3 cm
height of cone, h = 10 cm
radius of ice cream sphere, R = 33.5 cm
The volume of the cone is
[tex]V =\frac {1}{3}\times \pi\times r^{2}\times h\\\\V = \frac{1}{3}\times 3.14\times 3\times 3\times 10\\\\V =94.2cc[/tex]
Volume of ice cream
[tex]V' =\frac{4}{3}\pi\times r^{3}\\\\V'= \frac{4}{3}\times 3.14\times 3.5^{3}\\\\V' = 179.5cc[/tex]
As the volume of ice cream is more than the volume of cone, so it cannot fit into the cone.
It doesn’t give options so I can’t guess
Answers
Answer:
x = 135
Step-by-step explanation:
The angles are vertical angles and vertical angles are equal
125 = x-10
Add 10 to each side
125+10 = x
135 =x
SOMEONE HELP ME ASAP IM STRESSING OUT
Answers
Answer:
Use SOHCAHTOA
Step-by-step explanation:
If you don't know what this is, it means Sin=opposite/hypotenuse, cos=adjacent/hypotenuse, tan=opposite/adjacent. There is more than 1 way to solve this, but here's how I did it.
Starting with part A, we are trying to find the hypotenuse of the triangle. We have an angle and the side opposite of that angle, so we can use the sin function.
Sin(54) = 12.2 / hypotenuse
Sin(54) * hypotenuse = 12.2
Hypotenuse = 12.2 / sin(54) = 15.1
Now for Part B
Finding the last angle
180-90-54=36
So now, we have this angle and the side adjacent to it. We are trying to find the opposite side, so let's use the tan function
Tan(36) = opp / 12.2
opp = tan(36) * 12.2 = 8.9
You can double check these answers using pythagorean theorem. Hope this helps
I need some help; if you don't know the answer, don't answer
Answers
Answer:
B is the right answer and if you want learn this, than learn algebric expression
I would like to see the answer for number one. You don't need to solve the rest.
Answers
Answer:3/4
Step-by-step explanation:
tan^2+1=sec^2
Plz help me!!!!!!!!! Whoever solves correct will mark brainlist
Answers
Answer:
in picture
Step-by-step explanation:
Brainliest please~
GIVEN: f(x)=3x-7, g(x)=2x^(2)-3x+1, h(x)=4x+1, k(x)=-x^(2)+3
FIND: (hg)(x)
a. 2x^2+x+2
b. none of these answers
c. 32x^2+4x
d. 8x^2-12x+5
Answers
Answer:
32x^2+4x
3x-7, g(x)=2x^(2)-3x+1, h(x)=4x+1, k(x)
An object starts at position 12 on a horizontal line with a reference point of 0. What is the position of the object if it
moves 14 units to the left?
0-26
-2.
02
O 26
Answers
Answer:
The answer would be B
Answer:
-2
Step-by-step explanation:
We know that the object is at 12 on a horizontal line.
The horizontal line of a graph is the x axis, so lets think of 12 as 12x
On a graph, left is negative, and right is postive.
In this case we need to move 14x to the right, or -14x.
We start at 12x, so its going to be:
12x-14x=-2x
So -2 is the postition of the object on the x axis.
This is answer B.
Hope this helps!
What is the relative frequency (to the nearest percent) of boys among those who cannot bike to school
Answers
Answer:
29%
Step-by-step explanation:
From the two way table given : the relative frequency of boys among those who cannot bike to school ;
Here, we are only concerned with thilose who cannot Bikento school and not all of the data :
The relative frequency of boys among those who cannot bike to school is :
Number of boys who can't bike to school / total number of people who can't bike to school
Number of boys who can't bike = 4
Total who cannot bike = 14
Hence, 4 /14 = 0.2857142
0.2857142 * 100% = 28.57% = 29% (nearest percent)
to multiply two fractions multiply the numerator by the and the denominator by the
Answers
Answer:
Multiply the numerator by the numerator and the denominator by the demoninator.
Step-by-step explanation:
Answer:
Nope, to multiply two fractions = numerator × numerator / denominator × denominator
Step-by-step explanation:
For Example:
[tex]\frac{5}{3}[/tex] × [tex]\frac{8}{2}[/tex]
Multiply 5 by 8
40
Multiply 3 by 2
6
Result: [tex]\frac{40}{6}[/tex]
Finally Simplify
[tex]\frac{40}{6} =[/tex] [tex]40[/tex] ÷ 6 = [tex]6\frac{4}{6}[/tex] or 6.6 as a decimal
If 12 rolls of toilet paper cost $4 how many rolls of toilet paper can you buy for $8?
Answers
Answer:
24 rolls
Step-by-step explanation:
12 rolls x rolls
------------ = ------------------
4 dollars 8 dollars
Using cross products
12*8 = 4x
96 = 4x
Divide by 4
96/4 = 4x/4
24 =x
24 rolls
Quadrilateral ABCD has coordinates A(3,-5), B(5,-2), C(10,-4), D(8,-7). Quadrilateral is a
Answers
Answer:
Quadrilateral is another word for a shape with four sides.
Step-by-step explanation:
Answer:
Parallelogram
Step-by-step explanation:
AB=CD
AD=BC
BD not equal to AC (Diagonals are not equal)
AB not equal to BC (Adjacent sides are not equal)
Thus the quadrilateral is parallelogram
Brainliest please
A researcher shows Trey two containers of the same size, both containing the same amount of marbles. The researcher pours one container of marbles into container that is taller, but smaller in diameter so the level of marbles is higher than in the other container. When the researcher asks Trey which container has more marbles, Trey points to the taller, thinner container. What type of task has Trey been tested on
Answers
Answer:
Conservation
Step-by-step explanation:
Conservation is the principle that an object maintains the same size and shape even if it is repositioned or divided in certain ways.
what is the scale factor from figure a to figure b
Answers
Scale factor from figure a to figure b = DIVIDE BY 3
{Check:- 33/3 = 11 & 15/3 = 5}
hope this helps :)
Answer:
1/3
Step-by-step explanation:
These two quadrilaterals are similar because figure A's sides are 3 times figure B's sides. Figure A's bottom is 15, while figure B's bottom is 5. To get from 15 to 5, we multiply by 1/3. This is the scale factor. All the other sides of figure A are also 3 times bigger than figure B's.
what is the degree of the polynomial. 5x²+8x²- 4x⁴+x. (a) 2 (b) 1 (c) 4 (d) 8
Answers
Answer:
4
Step-by-step explanation:
5x²+8x²- 4x⁴+x
The degree is the highest power
The highest power is 4
The degree is 4
6.perimeter of the given shape above is
a) 20 feet
b) 40 feet
c) 30 feet
d) 25 feet
e) 10 feet
Answers
One side is 14 feet and the other is 6. Since it is a rectangle and a rectangle has four sides, we need to take 14 and multiply it by 2. That will get us 28. Same thing apply for the other side. 6 multiplied by 2 is 12. And if we take our 2 numbers which are 28 and 12 and we add them up, our Perimeter is 40.
Hope this helps and if it does, don't be afraid to rate my answer as well as maybe give it a "Thanks"? (Or even better a "Brainliest"). And if it’s not correct, I am sorry for wasting your time, and good luck finding the correct answer :)
first ,length(l)=14 feet,
bredth(b)=6feet.
now, perimeter = 2(l+b)
=2(14+6)
= 2×20
= 40 feeet
Hope this helps you....
Which point satisfies both f (x) = 2X and g(x) = 3?
Answers
Answer: uhh 76t4
Step-by-step explanation: words here
What is an equation of the line that passes through the point (-6,5) and is parallel
to the line 2 - 3y = 21?
Answers
Answer:
y=1/3x+7
Step-by-step explanation:
Hi there!
We're given the equation x-3y=21 and we want to find the equation of the line parallel to x-3y=21 that passes through (-6,5)
Parallel lines have the same slopes, but different y intercepts
So we need to find the slope of x-3y=21
To do that, we can convert x-3y=21 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept).
We'll need to isolate y onto one side
subtract x from both sides
-3y=-x+21
divide both sides by -3
y=1/3x-7
1/3 is in the place where m is, so 1/3 is the slope of the line
it's also the slope of the line parallel to x-3y=21
here's the equation of the line parallel to x-3y=21 so far:
y=1/3x+b
we need to find b
as the line passes through (-6,5), we can use it to solve for b
substitute -6 as x and 5 as y
5=1/3(-6)+b
multiply
5=-2+b
add 2 to both sides
7=b
Substitute 7 as b into the equation
y=1/3x+7
Hope this helps!
Guys help on this I hate math !!!
Answers
Answer:
1. 194
2. 189
Step-by-step explanation:
1. 991 - 797 = 194
2. 826 - 637 = 189
Answer:
1. 194 people increased.
2. Edith has 189 stamps more than Parick.
Step-by-step explanation:
1. 991 - 797 = 194
2. 826 - 637 = 189
The picture up above
Answers
Answer:
its being reflected over the y-axis
Step-by-step explanation:
b = 9, c = 16
a =
help please ;(
Answers
Answer:
right triangle ?
a = 13.288 ?
Step-by-step explanation:
[tex]c^{2}[/tex] - [tex]b^{2}[/tex] = [tex]a^{2}[/tex]
256 - 81 = 175
[tex]\sqrt{175}[/tex] = 13.288
the gravitational acceleration on Earth is 9.8m/s^2 what is the weight of a car on earth if the mass is 1360
Answers
Answer:
13328 N
Step-by-step explanation:
9.8 m/s^2 • 1360 = X
13328 N = X
PLEASEEE I nEEED THE ANSWER TnT
NOTE: pls ignore another language just read the english one... ASAP
Answers
Answer:
x -1 1 3
y -2 -4 2
Step-by-step explanation:
y=x^2-x-4
when x=-1
y=(-1)^2-(-1)-4
y=1+1-4
y=-2
when x=1
y=(1)^2-(1)-4
y=1-1-4
y=-4
when x=3
y=(3)2-(3)-4
y=9-3-4
y=9-7
y=2
What is the ans of this?
Answers
Step-by-step explanation:
everything can be found in the picture
llus
Find the value of x that makes A || B.
2
4
3
5
Z2 = 2x + 10 and 24 = 4x + 80
x = [?]
Enter
Answers
Answer:
Step-by-step explanation:
If A is parallel to B, then angles 2 and 4 are same side interior and they are supplementary. Thus,
2x + 10 + 4x + 80 = 180 and
6x = 90 so
x = 15
Figure ABCD is a rhombus.
Rhombus A B C D is shown. Angle A is (5 x + 25) degrees and angle D is (7 x minus 1) degrees.
What is the value of x?
13
14
26
28
Answers
You can set it up as (5x+25)+(7x-1)=180 or 5x+25=7x-1 and both equal 13
The value of x is 13 in the rhombus ABCD
What is Quadrilateral?A quadrilateral is a four-sided polygon, having four edges and four corners
In figure ABCD is a rhombus
Given as Angle ∠ A = (5x + 25)
Angle ∠ D = (7x - 1)
Since adjacent angles of a rhombus add up to 180°
(5x + 25) + (7x - 1) = 180 and both equal
So, 5x + 25 = 7x - 1
Rearrange the terms in the equation,
7x - 5x = 1 +25
2x = 26
x = 13
Hence, the value of x is 13 in given figure.
To learn more on Quadrilateral click:
https://brainly.com/question/13805601
#SPJ7
solve for x, show work please! 25 points.
Answers
Answer:
C
Step-by-step explanation:
8x + 2 = 7x + 8
<=> 8x - 7x = -2 + 8
<=> x = 6
Answer:
Option CStep-by-step explanation:
Here,
8x + 2 = 7x +8 [Since Alternate interior angle]
=> 8x - 7x = 8 - 2
=> x = 6 (Ans) (Option C)
A plane and a line not in that plane which are parallel to the same line, are parallel to each other. Always, sometimes, or never
Answers
Answer:
a line and a plan are considered parallel if they have no points in common if two parallel planes are cut by a third plane then the lines of intersection are parallel
Lola's salary is $40,000 plus a 2% commission on all sales. The rate of change for her salary is a constant rate.
True
False
Answers
Answer:
False
Step-by-step explanation:
What’s the value of x?
G
53°
45
H
x°
Answers
Answer:
x = 98°
Step-by-step explanation:
95 + 53 + (180 - x) = 180
148 + 180 - x = 180
328 - x = 180
328 - x + x = 180 + x
x + 180 = 328
x + 180 - 180 = 328 - 180
x = 98°
The required measure of the remote exterior angle x is 98°.
Given that,
A triangle has shown,
Where two remote interior angles with measures 45° and 53° are given and a remote exterior angle with measure x is given, we have to determine the value of x.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the angle?The orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
There is a property of a triangle that, the sum of the remote interior angle is equal to the measure of the remote exterior angle. So,
x = 53 + 45
x = 98°
Thus, the required measure of the remote exterior angle x is 98°.
Learn more about Angles here:
https://brainly.com/question/13954458
#SPJ1
