To solve this question, we have to find the equation of the circle with given center and where it passes. Doing this, we get that the equation of the circle is:
[tex](x - 16)^2 + (y - 30)^2 = 1156[/tex]
Equation of a circle:
The equation of a circle with center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
Center at (16, 30)
This means that [tex]x_0 = 16, y_0 = 30[/tex]
Thus
[tex](x - 16)^2 + (y - 30)^2 = r^2[/tex]
Passes through the origin:
We use this to find the radius squared, as this means that [tex]x = 0, y = 0[/tex] is part of the circle. Thus
[tex](x - 16)^2 + (y - 30)^2 = r^2[/tex]
[tex](0 - 16)^2 + (0 - 30)^2 = r^2[/tex]
[tex]r^2 = 16^2 + 30^2 = 1156[/tex]
Thus, the equation of the circle is:
[tex](x - 16)^2 + (y - 30)^2 = 1156[/tex]
For another example to find the equation of a circle, you can look at https://brainly.com/question/23719612
(x+4)^2-(x+2)(x-2)=20
⇒x²+ 4² - x²+ 2x - 2x + 4 = 20
⇒ x² - x² + 2x - 2x + 4² + 4 = 20
⇒ 16 + 4 = 20
⇒ 20 = 20
RHS = LHS hence proved
Answered by Gauthmath must click thanks and mark brainliest
Answer:
x = 0
Step-by-step explanation:
(a + b)² = a² +2ab + b²
(a +b)(a -b)= a² - b²
(x + 4)² - (x + 2 )(x - 2) = 20
x² + 2*4 *x + 4² - [x² - 2²] = 20
x² + 8x + 16 - [x² - 4] = 20
x² + 8x + 16 - x² + 4 = 20 {(-1) is distributed x² and (-4)²}
x² - x² + 8x + 16 + 4 = 20 {Combine like terms}
8x + 20 = 20
8x = 20 - 20
8x = 0
x = 0
Convert
4 feet to inches
5 kilometers to meters
6 quarts to gallons, and
2,000 grams to kilograms
Answer:
1. 4ft=48inches
2. 5km=5,000m
3. 6 quarts=1,5 gallons
4. 2,000 grams=2km
Step-by-step explanation:
1. To convert feet to inches, multiply the number (4) by 12.
2. 1 Kilometer (km) is equal to 1000 meters (m). To convert kilometers to meters, multiply the kilometer value by 1000.
3. divide the volume value by 4
4. To convert grams to kilograms, you divide the number of grams you have by 1000
4 feet = 48 inches
5 kilometers = 5,000 meters
6 quarts = 1.5 US gallons
2,000 grams = 2 kilograms
1 21.1.1 Study: Characteristics of Ecosystems
A population of Clark's nutcrackers like this one lives in a forest on a mountainside in
Colorado. Which two characteristics of this group of birds make it a population?
A. They live in the same area.
B. They have the exact same genes.
C. They are offspring of the same parents.
D. They belong to the same species.
Answer:
The two populations living habitats are different. Also they are only similar not the same. Although the physical features may look the same, the actual species may be totally different. :)
Step-by-step explanation:
(6 1/4)^4
Answer fast or i will report you
Answer:6
Step-by-step explanation: The rules of exponential says (a^x)^y=a^xy.
Therefore you will multiply 1/4 with 4 to get an exponent of 1. So the answer is 6^1 which is also written as 6
In this activity, you will create an equation for a function represented by a verbal description.
Vicky charged her phone’s battery to 100 percent. Then she took the phone off the charger. When her phone is off the charger, it loses 5 percent of its battery life every hour. What function models the percentage of battery life left in terms of the number of hours since Vicky took it off the charger?
What is the initial value of the function? Is it positive or negative? Explain your answer.
What is the function’s rate of change? Is it positive or negative? Explain your answer.
Answer:
1) The initial value of the function is the y-value when the x-value is zero. The number of hours is the x-value and the percentage of battery life left is the y-value. When the number of hours, x, is 0, the percentage of remaining battery life, y, is 100 percent. So, the initial value of the function is 100. The initial value is positive because the percentage of remaining battery life cannot be negative.
2) The rate of change is the rate at which the y-value changes with respect to a change in the x-value. When off the charger, the phone loses its battery life at a constant rate of 5 percent per hour. So, the function’s rate of change is -5. The rate of change is negative because the rate indicates that the percentage of remaining battery life decreases as the number of hours increases.
Step-by-step explanation: I just did the tutorial right now i hope this helps
Answer:
part a = The number of hours since Vicky took the phone off the charger is the independent quantity, so the variable x should represent it.
part b = The percentage of battery life left in hours is the dependent quantity, so the variable y should represent it.
part c = The initial value of the function is the y-value when the x-value is zero. The number of hours is the x-value and the percentage of battery life left is the y-value. When the number of hours, x, is 0, the percentage of remaining battery life, y, is 100 percent. So, the initial value of the function is 100. The initial value is positive because the percentage of remaining battery life cannot be negative.
part d = The rate of change is the rate at which the y-value changes with respect to a change in the x-value. When off the charger, the phone loses its battery life at a constant rate of 5 percent per hour. So, the function’s rate of change is -5. The rate of change is negative because the rate indicates that the percentage of remaining battery life decreases as the number of hours increases.
part e = The rate of change of the function, m, is -5, and the initial value of the function, b, is 100. Substitute the values of m and b in the equation y = mx + b. The equation of the function that models the phone’s remaining battery life in terms of the number of hours from the time Vicky took it off the charger is y = -5x + 100.
Step-by-step explanation:
All edmentum answers :)
<6 and <7 can be classified as?
a. vertical angles
b. alternate interior angles
c. same side interior angles
d. alternate exterior angles
Answer:
A. vertical angles
Vertical angles are supplementary angles when the lines intersect perpendicularly
Determinar la altura de una antena que, A cierta hora del día,Arroja una sombra de 2.85 m, En ese preciso momento Marta que Mide 1.65 m Proyecta una sombra de 1.16 m
Answer:
La altura de la antena es 4.054 metros.
Step-by-step explanation:
La altura del objeto es perpendicular a la longitud de la sombra, tanto el triángulo rectángulo de la antena como el triángulo rectángulo de Marta son semejantes. La altura de la antena se determina mediante la siguiente relación:
[tex]\frac{h}{l} = \frac{H}{L}[/tex] (1)
Where:
[tex]h[/tex] - Altura de Marta, en metros.
[tex]l[/tex] - Longitud de la sombra de Marta, en metros.
[tex]L[/tex] - Longitud de la sombra de la antena, en metros.
[tex]H[/tex] - Altura de la antena, en metros.
Si sabemos que [tex]h = 1.65\,m[/tex], [tex]l = 1.16\,m[/tex] y [tex]L = 2.85\,m[/tex], entonces la altura de la antena es:
[tex]H = h\cdot \left(\frac{L}{l} \right)[/tex]
[tex]H = 1.65\,m \times \left(\frac{2.85\,m}{1.16\,m} \right)[/tex]
[tex]H = 4.054\,m[/tex]
La altura de la antena es 4.054 metros.
This year, a small business had a total revenue of $42,900 . If this is 35% less than their total revenue the previous year, what was their total revenue the previous year?
if this value 35% less than the total, we conclude that:
42,900 = 65%
1% = 660
100% = 66,000
if you want to check the value, just do 65% of 66000, which equals to 42,900
hope it helps :)
x+y=4
x-2y=-5
If the first equation is multiplied by 2 and then the equations are added, the result is
=3
3 = 13
o3х=3 3
Answer:
3x = 3
Step-by-step explanation:
x + y = 4 × 2
= 2x + 2y = 8
2x + 2y = 8 + x - 2y = -5
3x = 3
Find the value of x.
Answer:
A - 55 degrees
Step-by-step explanation:
secant-tangent angle: 1/2(larger-smaller)
1/2(180-70)
1/2(110)
55 degrees
Which is the graph of f(x) = 4[½]^x?
Answer:
from left to right the second graph
Step-by-step explanation:
f(x) = 4(1/2)^x
y = 4(1/2)^x
-find the y-intercept
if x=0 then y = 4(1/2)^0 = 4*1 =4, the y-intercept is (0,4)
so is first or second graph
-look at the second graph and check if the function go trough the point (1, 2)
if x=1 then y = 4(1/2)^1 = 4/2 = 2
so the second graph it is
what is 15 out of 24 as a percent?
If [ -2 5 7 6] and |B| = -|A|, which matrix is matrix B?
|A| and |B| denote the determinants of the matrices A and B.
We have
[tex]|A| = \begin{vmatrix}-2&5\\7&6\end{vmatrix} = (-2)\times6-7\times5 = -12 - 35 = -47[/tex]
Then B is a matrix such that |B| = -|A| = +47.
The only choice satisfying this is C, since
[tex]\begin{vmatrix}12&1\\13&5\end{vmatrix} = 12\times5-13\times1 = 60 - 13 = 47[/tex]
50 POINTS. For what value of the variable is the value of the expression is -3(2x+1) is 20 greater than the expression 8x+5? Please answer correctly, don't show your work, just give the correct answer.
Answer:
my x is ;
x= -0.6205
this is because for the first equation to be equal to the second equation we need to multiply the second equation with 20
On a unit Circle, the terminal point of 0 is (sqrt3/2, 1/2) what is 0?
This is a point, so it has x- and y-coordinates. Both of these coordinates are positive, therefore the point must be in the first quadrant.
The pattern for the points on a unit circle is 3 - 2 - 1 starting at 0 and up to pi/2. The pattern for the radian denominators on a unit circle is 6 - 4 - 3 starting at 0 and up to pi/2.
(sqrt(3) / 2, 1/2) = pi / 6 radians
Hope this helps!
Answer:
A. pi/6 radians
Step-by-step explanation:
The ratio of the lengths of the sides of a 30-60-90 triangle is
1/2 : sqrt(3/2) : 1
sin theta = opp/hyp
tan theta = 1/2 / 1
tan theta = 1/2
theta = pi/6 radians
Answer: A. pi/6 radians
determine the equation of a perpendicular line to y= -3/5x + 14, y-intercept 8
9514 1404 393
Answer:
y = 5/3x +8
Step-by-step explanation:
The slope of the perpendicular line is the opposite reciprocal of the slope of the given line. The given slope is -3/5, so the perpendicular slope is ...
-1/(-3/5) = 5/3
That and the given y-intercept can be put into the slope-intercept equation ...
y = mx + b . . . . . line of slope m and y-intercept b
y = 5/3x + 8
4(2-3-1)+-5(6)--7to the power of 2
[tex]\\ \sf\longmapsto 4(2 - 3 - 1) + ( - 5)(6) - 7 {}^{2} \\ \\ \longmapsto 4( - 2) + ( - 30) - 7 {}^{2} \\ \\ \sf\longmapsto - 8 - 30 - 49 \\ \\ \sf\longmapsto - 38 - 49 \\ \\ \sf\longmapsto - 87[/tex]
Which of the following is the inverse of F(x) = -2x + 3?
Answer:
D
Step-by-step explanation:
y=-2x+3
y-3=-2x, x=(3-y)/2. f^(-1) (x) = (3-x)/2. The equation is (3/2)-x/2.
Answer:
c
Step-by-step explanation:
find the slope of a line perpendicular to y=-2/3x+4/5
PLEASE HELP!! WILL MARK BRAINLIEST
Answer:
x = 25/2
y = 5
Step-by-step explanation:
The angles are corresponding angles and corresponding angles are equal when the lines are parallel
4x+8y = 18y
We also know that 18y +90 = 180 since they form a straight line
18y +90 = 180
Subtract 90 from each side
18y+90-90=180-90
18y = 90
y =5
Now we can solve for x
4x+8y = 18y
4x+8y-8y = 18y-8y
4x = 10y
Since y = 5
4x = 10(5)
4x = 50
4x/4 = 50/4
x = 25/2
x = 50/4
in parallelogram ABCD, what is m
9514 1404 393
Answer:
(d) 25°
Step-by-step explanation:
Each diagonal represents a transversal between parallel lines. Alternate interior angles are congruent, so ...
∠BDC ≅ ∠DBA = 25°
(PICTURE) please answer whatever you can Its really urgent
1. Find 3 equivalent fraction for the following: a) 5/6 b) 7/11 c) 9/7
Answer:
Step-by-step explanation:
To find equivalent fractions, multiply the numerator and the denominator by the same table.
a) 5/6
[tex]\frac{5*2}{6*2}=\frac{10}{12}\\\\\frac{5*3}{6*3}=\frac{15}{18}\\\\\frac{5*4}{6*4}=\frac{20}{24}[/tex]
b) 7/11
[tex]\frac{7*3}{11*3}=\frac{21}{33}\\\\\frac{7*4}{11*4}=\frac{28}{44}\\\\\frac{7*5}{11*5}=\frac{35}{55}[/tex]
c)9/7
[tex]\frac{9*2}{7*2}=\frac{18}{14}\\\\\frac{9*5}{7*5}=\frac{45}{35}\\\\\frac{9*10}{7*10}=\frac{90}{70}[/tex]
If the length of the shorter arc AB is 22cm and C is the center of the circle then the circumference of the circle
is:
Answer:
22= 2(pi)(r)(45/360)
28.01
C=176
Step-by-step explanation:
Find the square root of 167281 by division method
Answer:
square root of 167281 is 409
Here's the Step-by-step explanation using division:
By visual inspection, determine the best-fitting model of the three types of regression for the data plot below.
A. Quadratic
B. Exponential
C. Linear
D. None of the above
Answer:
B. exponential
Step-by-step explanation:
The graph is clearly decreasing exponentially, shown by the downward curve. Therefore, the answer should be B.
A stock lost 8 3/8 points on Monday and then another 1 5/8 points on Tuesday. On Wednesday, it gained 13 points. What was the
net gain or loss of the stock for these three days?
Answer:
The stock in last three days has a net gain of 3.
Step-by-step explanation:
The net change of the stock is the sum of daily changes in last three days. Please notice that positive sign means means for gain, whereas negative one is for loss. Based on information given on statement, we determine the net change in the stock:
[tex]x = -\left(8 + \frac{3}{8} \right)-\left(1+\frac{5}{8} \right) + 13[/tex]
[tex]x = 3[/tex]
The stock in last three days has a net gain of 3.
HELP ASAP
The graph of f(x)= |x| is chosen below. Write the equation for the stretched graph, g(x).
Answer:
y = |3x|
Step-by-step explanation:
If (3+√5)(4-√5)=a+b√5, where a and b are integers, then what is the value of a + b?
given that f(m) = m/2, find m
Answer:
let f(m) = u
multipling both sides by 2
We have 2f(m)=m
therefore m=2
