Answer:
Standard form is - (x - 7)² + (y - 4)² = 5²
General form is - x² + y² - 14x - 8y + 40 = 0
Step-by-step explanation:
Given - The CB radio of a trucker covers the circular area of (7,4).
Find the equation of that circle.
To find - Find the equation of that circle. Give your answer in both
standard and general form.
Proof -
Given that,
Center of CB radio = (7, 4)
Point on the Boundary = (10, 0)
Now,
We know that radius, r is
r = [tex]\sqrt{(7-10)^{2} + (4-0)^{2} }[/tex]
= [tex]\sqrt{(-3)^{2} + 4^{2} }[/tex]
= [tex]\sqrt{9 + 16}[/tex]
= [tex]\sqrt{25} = 5[/tex]
⇒r = 5
∴ we get
Standard form is - (x - 7)² + (y - 4)² = 5²
General form is -
x² + 7² - 2·7·x + y² + 4² - 2·4·y = 25
⇒x² + 49 - 14x + y² + 16 - 8y = 25
⇒x² + 65 - 14x + y² - 8y = 25
⇒x² + 65 - 14x + y² - 8y - 25 = 0
⇒x² - 14x + y² - 8y + 40 = 0
So, the general form is -
x² + y² - 14x - 8y + 40 = 0
Amir has 103 days to finsih project he works 7 days a week on the project how many week and days does amir have to finish the project
Answer: 14 weeks 5 days
Step-by-step explanation:
From the question, we are informed that Amir has 103 days to finish a project and that he works 7 days a week on the project.
The number of weeks and days that he has to finish the project will be:
= 103/7
= 14 5/7
= 14 weeks 5 days
Free 100 points! Solve this equation
2x + x + 20 = 200
ANSWER is 60
2x + x = 3x
200-20=180
180 divided by 3x = 60
You may copy and paste the answer and explanation .
Have a nice day .
Answer:
60
Step-by-step explanation:
tysm! have a great day
thank you
have a good day...❤
after spending 2/5 of her pocket money,Joyce realised she has spent $18.00. find her pocket money.
Answer:
1235674895
Step-by-step explanation8
For the smart person to answer.
Step-by-step explanation:
GCF: greatest common factor of any two (or more) numbers
Top left:
GCF of 4, 10, 14: 2
Top right:
GCF of 14, 35, 84: 7
Bottom left:
GCF of 9, 18, 42: 3
Right left:
GCF of 8, 32: 8
Unit 8: Right Triangles & Trigonometry
Homework 2: Special Right Triangles
Answer:
17.
78\sqrt{3},\ 39\sqrt{3},\ 78\sqrt{3}
19.
6,\ 12,\ 12\sqrt{2}
Step-by-step explanation:
The required values of the x, y, and z in the given triangle are 26√3, 13√3, and 39×√2 respectively.
If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.
Here,
For triangles,
sin45 = 39/x
z = 39×√2
xsin60 = 39×√2 cos45
x ×√3/2 = 39
x = 39 × 2 / √3
x = 26√3
Now,
cos60= y / x
1/2 = y / 26√3
y = 13√3
Thus, the required value of the x, y, and z in the given triangle are 26√3, 13√3, and 39×√2 respectively.
Learn more about trig ratios here:
https://brainly.com/question/14977354
#SPJ5
PLEASE HELP ME!!! IVE BEEN STUCK ON THIS FOR SO LONG!!
the answer is 3x^3 +13x^2 +6x -8.
Answer:
I can simplify it for u but not sure the product
3x(x²+3x-2)+4(x²+3x-2)
3x³+9x²-6x+4x²+12x-8
=3x³+13x²+6x-8
that's the final answer
If the lengths of the two legs of a right triangle are 12 and 16, what's the length of the hypotenuse?
Question options:
A)
14
B)
16
C)
20
D)
28
Solve for r:
r over 15 = 4.3
1. r = 3.48
2. r = 64.5
3. r = 0.286
What shape is created by the rotation and what is the approximate circumference of the base? Circumference of a circle: C = 2πr
Answer:
50inches
Step-by-step explanation:
Complete question;
The square shown(image attached) has a perimeter of 32 units. The square is rotated about line k. What shape is created by the rotation and what is the approximate circumference of the base? Circumference of a circle: C = 2πr a cone with a base circumference of about 25 units a cone with a base circumference of about 50 units a cylinder with a circumference of about 25 units a cylinder with a circumference of about 50 units.
The figure shown is a square
Perimeter of a square = 4L
L is the length of the side of the square
32 = 4L
L =32/4
L = 8units
Since the square is rotated about a line k forming a circular shapr, hence the radius of the circular shape is equal to the length of the side of the rotated square. Hence r = 8units
Get the circumference of the circle
C = 2πr
Substitute r = 8 into the formula
C = 2π(8)
C = 16π
C = 16(3.14)
C = 50.24in
Hence the approximate circumference of the circle is 50inches
Help me please.......
9514 1404 393
Answer:
a) -2.7
d) 0.4
Step-by-step explanation:
I like a graphing calculator as a tool for finding the solution to problems like this. The two function graphs intersect at x-values of -2.7 and +0.4.
Help ASAP I’ll mark you as brainlister PLEASE!!’
Answer:
A = 76.8 yd²
Step-by-step explanation:
The area (A) of a regular polygon is calculated as
A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter and a the apothem )
Here p = 8 × 4 = 32 yd and a = 4.8 yd , then
A = [tex]\frac{1}{2}[/tex] × 32 × 4.8 = 16 × 4.8 = 76.8 yd²
Leann works at a restaurant for dinner there is a choice of three main dishes and two sides main dish Burger chicken pasta sides Apple fry Rena list possible ways a person could order your main dinner see this these combination is in the correct you to drop down menu to explain your reasoning
Answer:
(a) Leann is incorrect
(b) For every main dish, there are 3 sides
(c) 6 selections
Step-by-step explanation:
See attachment for complete question
Given
Main Dish: Burger (B), Chicken (C), Pasta (P)
Sides: Apple (A), Fries (F)
Solving (a): Is Leann list correct?
From the question, the list is: BA, BF, CA, CF, PA, PF, AB, FB, AC, FC, AP, FP
This list is incorrect because:
AB is the same BA, BF is the same as FB and so on
Solving (b): Number of sides for each Main dish
From the question:
[tex]Main\ dish = 2[/tex]
[tex]Sides = 3[/tex]
This implies that:
For every main dish, there are 3 sides
Solving (c): Total number of selection
In (b), we have:
[tex]Main\ dish = 2[/tex]
[tex]Sides = 3[/tex]
So: the total is:
[tex]Total = Main\ dish * Sides[/tex]
[tex]Total = 2 * 3[/tex]
[tex]Total = 6[/tex]
I have 4 sandwiches that each measure 12 inches long. If they were cut into 3 2/3 inches, how many sandwiches will you have?
Answer: 13
Step-by-step explanation:
Given
there are 4 sandwiches that each measures 12 inches
If they were cut into
[tex]3\ \dfrac{2}{3}\ in.=\dfrac{3\times 3+2}{3}=\dfrac{11}{3}\ in.[/tex]
Now, it becomes
[tex]\Rightarrow \text{No of sandwiches}=\dfrac{4\times 12}{\frac{11}{3}}=\dfrac{4\times 12\times 3}{11}=13.09\approx 13[/tex]
Now, there are 13 sandwiches
Someone help me its timed!!!
Answer:
C!
Step-by-step explanation:
what is the H.C.F of 7 and 13
Answer:
Step-by-step explanation:
the factors and prime factorization of 7 and 13. The biggest common factor number is the GCF number. So the greatest common factor 7 and 13 is 1.
A lap around a track is
2/5 of a mile
How many laps is a 11/2
Answer: 4 laps
Step-by-step explanation:
Find the point P along the directed line segment from point A(–13, 6) to point B(2, 20) that divides the segment in the ratio 2 to 3.
Answer:
(-4, 14.4)
Step-by-step explanation:
The midpoint formula is expressed as;
M(X, Y) = {(ax1+bx2/a+b), ay1+by2/a+b}
Get X;
X = ax1+bx2/a+b
X = -13(2)+ 2(3)/2+3
X = -26+6/5
X = -20/5
X = -4
Get Y:
Y =ay1+by2/a+b
Y = 2(6)+3(20)/2+3
Y = 12+60/5
Y = 72/5
Y = 14.4
Hence the coordinate of point P dividing A and B in the ratio 2 to 3 is
(-4, 14.4)
Arrange the following expressions in order of their value from least to greatest. a. 4-6 b. -4 + 6 C.-4 - 6
The arrangement of expressions from least to greatest is c, a and b
The given expressions are
a. 4-6
b. -4+6
c. -4-6
We need to arrange from least expression to greatest
What is Ascending Order?
The arrangement of numbers from least to greatest
Solve a, b and c expressions
a. 4-6=-2
b. -4+6=2
c. -4-6=-10
We know that -10<-2<2
Therefore the arrangement of expression from least to greatest is c, a and b
To learn more about ascending order click here: https://brainly.com/question/19597155
#SPJ2
Does anyone know the answer?
Answer:
6i+9j-15k
Step-by-step explanation:
multiply every thing by 3
ahshepfnshaudjfornds
(word count lol)
Answer:
455666
124
Step-by-step explanation:
I really need help with this one, I've been asking the same question like three or four different kinds. Can someone please help me I can't figure it out
Answer:
140
Step-by-step explanation:
The sum of one interior angle and one exterior angle is 180
180-40=140 so an interior angle of the regular polygon would be equal to 140
Which shows the solution to the equation x² = 121? Select all that apply.
A. 11
B. 12
C. -11
D. -12
Is each statement true for ⊙P? Drag “true” or “false” below each statement
guys I need help this is due at 4 o'clock.
the last number for each problem is a power number.
15 points
example:y=4x2 the number 2 is the power number and the number at the end of the problem is a power number. the x is a letter.
graph each function.
y=4x2
y=-3x2
Step-by-step explanation:
x = 3/2 + y/2
Help in 2 minutes I need an answer!!
Answer:
D
Step-by-step explanation:
A and D are the only ones that make sense but, A is incorrect because ice is an example of a solid, a solid isn't an example of ice.
Would a bottle of chocolate milk (for one person) measured with milliliters or liters
Answer:
the answer would be Milliters
from these numbers 5;33;27;72;36;61;81;45 choose a prime numbers a number which is the product of two prime numbers
Answer:
33.
Step-by-step explanation:
33 = 3 * 11.
The number that is a product of two prime numbers is 33.
What are prime numbers?
Prime numbers are those numbers that do not have any factors other than one and the number itself.
Example:
2, 5, and 7 are all prime numbers.
We have,
5, 33, 27, 72, 36, 61, 81, 45
We will write the possible factors.
5
- 1 x 5
33
- 3 x 11
- 1 x 33
27
- 3 x 9
- 1 x 27
72
- 2 x 36
- 3 x 24
- 4 x 18
- 12 x 6
- 8 x 9
36
- 2 x 18
- 3 x 12
- 4 x 9
- 6 x 6
81
- 3 x 27
- 9 x 9
45
- 3 x 15
- 5 x 9
We see that,
33 is the only number that is a product of two prime numbers.
i.e
3 x 11 = 33
Thus,
33 is the number.
Learn more about prime numbers here:
https://brainly.com/question/30358834
#SPJ2
What are the intercepts of this line?
A x-int: 0.5: y-int -1
B x-int: -0.5 y-int. 1
C x-int: 0.5. y-int: 1
D x-int: -0.5 y-int: -1
Answer:
I believe it would be B, very sorry if this didn't help!
Step-by-step explanation:
Answer: C x-int: 0.5. y-int: 1
Step-by-step explanation:
We first see the y-int of the graph, where x equal to 0.
Based on the graph, y is passed the y-axis on the positive sign, which means that y-int is (0,1), only b and c fits.
And we can clearly see the x-int is on the positive sign also, which is (0.5,0), c is the answer.
What is the
range of the function graphed below? ((Writing the answers in case you can’t read them well))
A. -infinity < y < 2
B. -2 < y < infinity
C. -infinity < y < -2
D. -infinity < y < infinity
Given:
The graph of a function.
To find:
The range of the graphed function.
Solution:
We know that, the domain is the set of x-values and range is the set of y-values values.
From the given graph it is clear that the functions is defined for all real values of x.
[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]
[tex]f(x)\to 2\text{ as }x\to \infty[/tex]
The values of the function lie in the interval [tex]-\infty<y<2[/tex].
Range of the function [tex]=-\infty<y<2[/tex]
Therefore, the range of the graphed function is [tex]-\infty<y<2[/tex] and the correct option is A.
The radius of the large sphere is twice
the radius of the small sphere.
Answer:
40 cm²
Step-by-step explanation:
Given the ratio of radii = a : b , then
ratio of areas = a² : b²
Here ratio of radii = 1 : 2
ratio of areas = 1² : 2² = 1 : 4
Thus
surface area of large sphere = 4 × 10 = 40 cm²