Answer: (x - 2)^2 + (y - 15)^2 = 13^2
Step-by-step explanation:
We know that the general equation for a circle is:
(x - a)^2 + (y - b)^2 = R^2
Where:
(a, b) is the center of the circle
R is the radius of the circle.
First, we know that the center of the circle is the point P, (2, 15)
Now, we also know that point M, (7, 3), is located at the circle.
Then we know that the radius of the circle will be equal to the distance between point P and point M.
Remember that the distance between two points (a, b) and (c, d) is:
Distance = √( (a - c)^2 + (b - d)^2)
Then in our case, we have:
Distance = √( (2 - 7)^2 + (15 - 3)^2) = √(25 + 144) = 13
This means that the radius of the circle is R = 13.
Now we know the radius of the circle and the center of the circle, then we can write the equation of the circle as:
(x - 2)^2 + (y - 15)^2 = 13^2
Jimmy is eating appetizers that have 120 calories each. He only plans to eat 550 calories overall.
Write an inequality and determine the most appetizers he can eat without exceeding the limit.
Answer:
4
Step-by-step explanation:
Jimmy is eating appetizers that
have 120 calories each. He only
plans to eat 550 calories overall.
Write an inequality and determine
the most appetizers he can eat
without exceeding the limit.
He can eat 4.
A company has offices in 3 different cities and a rotal of 480 workers there are 90 workers in newyork and 130 workers in denver the rest of the workers are in san diego
Answer:
Workers in San Diego = 260 workers
Step-by-step explanation:
Total workers = 480
Number of offices = 3
In each office in different cities
New york = 90 workers
Denver = 130 workers
San Diego = x workers
Find x
Total number of workers = workers in New York + workers in Denver + workers in San Diego
480 = 90 + 130 + x
480 = 220 + x
480 - 220 = x
260 = x
x = 260 workers
Workers in San Diego = 260 workers
Answer:
Step-by-step explanation:
250
A bridge spans a distance of 1012m. Large cables are attached to the tops of the towers, 45 m above the road. The road is suspended from the large cables by many smaller vertical cables. The smallest vertical cable measures about 1.5m. Determine a quadratic equation for the large cables.
Answer:
A quadratic equation for the large cables is [tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]
Step-by-step explanation:
The shape of the quadratic equation representing the large cables is a parabola
Taking the point of the smallest vertical cables as the vertex, (h, k) with coordinates, (0, 1.5), we have;
h = -b/(2·a)
∴ 0 = -b/(2·a), from which we have, b = 2·a × 0 = 0
k = 1.5 = c - (b²/(4·a) = c - (0/(4·a)) = c
∴ c = 1.5
The standard form of the quadratic equation, a·(x - h)² + k is therefore, given as follows;
f(x) = a·(x - 0)² + 1.5 = a·x² + 1.5
At the towers which are on either side of the bridge, when x = 1012/2 = 506, f(x) = y = 45
Therefore, we have;
45 = a·506² + 1.5
a = (45 - 1.5)/506² = 87/512072 ≈ 1.699 × 10⁻⁴
The quadratic equation for the large cables, f(x), can therefore be presented as follows;
[tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]
Sadie's sweets is having a sale on all their baked goods they are regularly priced at $4 but they are marked down to $2.6 what percent off are they
Answer:
35% off
Step-by-step explanation:
= |4 - 2.6|/((4 + 2.6)/2) = 1.4/3.3 = 0.42424242424242 = 42.424242424242%
Percentage of decrease = |4 - 2.6|/4 = 1.4/4 = 0.35 = 35%
2.6 is a 35% decrease of 4.
Hey can yall help me with this question thank you
Step-by-step explanation:
a. 2x+5
b. 3x+5
c. 5x+4
i hope it will help you
12. Why is the Yellow River also known as "China's Sorrow?"
A. There have been many devastating floods on its banks.
B. Many ancient Chinese were killed by the Mongols there.
C. Many ancient Chinese were killed in a major battle there.
1. D. Many people drowned in the river.
Answer:
A
Step-by-step explanation:
;)
Which statement about these triangles is true?
3 which number line best represents 2÷1/4
Answer:
the second choice
Step-by-step explanation:
2 has to be divided into 8 parts in total which is shown by option B
HURRY I NEED THIS IN 20 mins please help me
Write an equation for the function g whose graph is the graph off
f(x) = -100(1.05)
translated to the right 5 units and up 50 units.
Answer:
f(x) = -100(1.05)^(x+5) + 50
Step-by-step explanation:
Here, we want to write an equation that represents the transformation
5 units right means 5 units on the positive x-axis
50 units up means we add this to the total y value
So the resulting equation will be;
f(x) = -100(1.05)^(x+5) + 50
Find the average rate of change
f(x)=x^2−6x+8 when x2=1 and x1=3
Answer:
Average rate of change for given function is: -2
Step-by-step explanation:
Given function is:
[tex]f(x)=x^2-6x+8\\x_12= 1\\x_1 = 3[/tex]
In order to find the rate of change, we have to find the value of function on x1 and x2
So,
[tex]f(x_1) = (3)^2-6(3)+8 = 9-18+8 = -1\\f(x_2) = (1)^2-6(1)+8 = 1-6+8 = 3[/tex]
The formula for finding the rate of change is:
[tex]Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
Putting the values, we get
[tex]=\frac{3-(-1)}{1-3}\\=\frac{3+1}{-2}\\=\frac{4}{-2}\\= -2[/tex]
Hence,
Average rate of change for given function is: -2
Answer:
Average rate of change for given function is: -2
Step-by-step explanation:
A train moves at a constant speed. The train travels 13
miles in 7 hour. What is the train's speed in miles per
hour?
Answer:
1.86 Miles per hour
Step-by-step explanation:
13/7
A real estate agency an agent salty house for 313,000. The commission rate is 4.5 for the real estate agency in the commission rate for the agent is 20% of the amount the real estate agent gets. How much did the agency make on the house? How much did the agent earn in comission
Answer:
313000/100 X 4.5 = 14085
14085/100 X 20 = 2817
14085 - 2817 = 11268
agency = 11268
agent = 2817
CL 3-115. Jermaine has a triangle with sides 8, 14, and 20. Sadio and Aisha both think that they have triangles that are similar to Jermaine's triangle. The sides of Sadie's
triangle are 2, 3.5, and 5. The sides of Aisha's triangle are 4, 10, and 16. Decide who, if anyone, has a triangle similar to Jermaine's triangle. Be sure to explain how
you know
pening
1
CL 3-116. For the points R(-2, 7) and P(2,1) determine each of the following:
9514 1404 393
Answer:
Jermaine and Sadie have similar triangles. Aisha's is not similar.
Step-by-step explanation:
The side lengths can be arranged smallest-to-largest and reduced to mutually-prime integers. If the triangles are similar, their side ratios will be the same.
Jermaine's triangle has side ratios ...
8 : 14 : 20 = 4 : 7 : 10
Sadie's triangle has side ratios ...
2 : 3.5 : 5 = 4 : 7 : 10 . . . . (same as Jermaine's)
Aisha's triangle has side ratios ...
4 : 10 : 16 = 2 : 5 : 8 . . . . . (different from Jermaine's)
Sadie and Jermaine have similar triangles.
What expression -5+(-5r)+10
Find the value of x
Step-by-step explanation:
By Exterior Angle Theorem, the sum of the 2 inner angles of the triangle is equal to the exterior angle by a straight line.
Therefore we have x + 72° = 90° + 34°.
=> x + 72° = 124°, x = 52°.
Hence the value of x is 52°.
PLEASEE HELP ASAP IM BEGGIMG YOUUUUUU
I WILL GIVE BRAINLIEST ASAP
Answer:
Below
Step-by-step explanation:
Problem 1
Blank 1 = 6
Blank 2 = 17
(5*3)+2
Blank 3 = 4
(4*1)
Problem 2
Blank 1= (-5)^3=-5*-5*-5=-125
Blank 2= 18
(6*3)
Blank 3= 12
(4*3)
Please help I’m confused also if you can’t see it just click on the picture.
Find the slope: change in y over change in x:
Slope = 30 - -5/ 6- -1 = 35/7 = 5
Find y intercept (the y value when x is 0)
Y = 5(0) = 0
There is no y intercept
The function rule would be:
Y = 5x
Solve by factorisation
2x2 + 3x - 20 = 0
Which of the following is not a geometric tool?
A.Compass
B.Pen
C.Protractor
D.Set Squares
Answer:
C. Protractor
Answer:
A
Step-by-step explanation:
A compass is for directions.
Help 39 point pic below Math
Step-by-step explanation:
Remember the Difference of Squares:
a² - b² = (a + b)(a - b)
Therefore (√20 - √3)(√20 + √3)
= (√20)² - (√3)² = 20 - 3 = 17. (C)
Step by step explanation
Answer: x = 4
Step-by-step explanation:
x/2=10/5
Multiply both sides of the equation by 2.
2⋅ x/2 = 10 /5 ⋅ 2
Simplify both sides of the equation.
Cancel the common factor of 2.
Rewrite the expression.
x= 2 ⋅ 10/5
Divide 10 by 5.
x= 2 ⋅ 10/5
Multiply 2 by 2.
x = 2 ⋅ 2
x = 4
please give brainiest :)
In a certain chemical, the ratio of zinc to copper is 4 to 11 . A jar of the chemical contains 308 grams of copper. How many grams of zinc does it contain?
Answer: 82.3 g
Step-by-step explanation:Moles Cu = 300 g x 1 mol Cu/63.55 g = 4.72 moles Cu
Moles Zn = 4/15(4.72) = 1.26 moles
mass Zn = 1.26 moles x 65.38 g/mol =
The plastic cylinder has a diameter of 2 cm. There is a rectangular 0.6 cm square prism through the middle of the cylinder, extending from the top to the bottom. The height of the cylinder is 6 cm. Find the volume of the cylinder without the prism.
Answer:
16.69 cm³
Step-by-step explanation:
In finding the volume of the cylinder without the prism you find the volume of the cylinder assuming it has no prism in it then minus the volume of the prism
Volume of the cylinder assuming there is no prism through it
V=πr²h where r is radius of the cylinder and h is height of the cylinder
Given that diameter = 2, then r= 1 cm and height, h = 6cm
V= π * 1 * 1 * 6
V= 18.85 cm³
Volume of the rectangular prism
V= l*w*h
V= 6*0.6*0.6
V= 2.16 cm³
The volume of the cylinder without the prism
18.85 cm³-2.16 cm³ = 16.69 cm³
Answer:
Not an answer
Step-by-step explanation:
Which is the better value?
A. 6 ounces of hot Cheetos for $2.16
B. 10 ounces of hot Cheetos for $2.70
Answer:
B
Step-by-step explanation:
2.16/6 = 0.36 cents per 1 ounce
2.70/10 = 0.27 center per 1 ounce
Therefore B. 10 ounces of hot Cheetos for $2.70
Which graph has a slope of -3?
D.
Its the only one going down 3 and over 1.
The answer would be D because it says -3 and not just 3.
HELP NEEDED HELP NEEDED!
Answer:
G. 8.625 [tex]ft^{2}[/tex]
Step-by-step explanation:
Area of first rectangle:
1.5 × 2.5 = 3.75 ftArea of second rectangle:
1.5 × 2.5 = 3.75 ftArea of triangle:
1.5 × 1.5 = 2.252.25 ÷ 2 = 1.125Put them together:
3.75 + 3.75 + 1.125 = 8.625 [tex]ft^{2}[/tex]I hope this helps!
need help with this
just focus on what the question asks and not the background
Answer:
A
Step-by-step explanation:
a drop means subtraction and rising means addition
lines m and n are parallel. what is the measure of angle 4?
a) 25 degrees
b) 55 degrees
c) 115 degrees
d) 145 degrees
Lisa says the factors of 18 are 1, 2, 3, 6, and 9. Is Lisa correct?
A.
Yes, she is correct.
B.
No, Lisa forgot the factor 4.
C.
No, Lisa forgot the factor 8.
D.
No, Lisa forgot the factor 18.
Answer:
I think the Answer is ( B. No Lisa forgot the factor 4.)
Step-by-step explanation:
HElp PLZ DUE RIGHT KNaw
Answer:
variables :)
Step-by-step explanation:
Answer:
[tex]....8. \to \: b) \: \: 3 \\......................9. \to \: c) \: coefficients \\............... 10. \to \: d) \: variables[/tex]