Answer:
[tex]x^2 + y^2 + 2x - 2y - 7 = 0[/tex]
Step-by-step explanation:
Given
See attachment for circle
Required
The circle equation
First, we get the radius of the circle.
From the attachment, we have:
[tex]r = 3[/tex]
Next, the center of the circle
[tex](h,k) = (-1,1)[/tex]
The equation of the circle is:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
This gives:
[tex](x - -1)^2 + (y - 1)^2 = 3^2[/tex]
[tex](x +1)^2 + (y - 1)^2 = 3^2[/tex]
Expand
[tex]x^2 + 2x + 1 + y^2 - 2y + 1 = 9[/tex]
Collect like terms
[tex]x^2 + y^2 + 2x - 2y + 1 + 1 - 9 = 0[/tex]
[tex]x^2 + y^2 + 2x - 2y - 7 = 0[/tex]
Hence, the equation in general form is:
[tex]x^2 + y^2 + 2x - 2y - 7 = 0[/tex]
A baseball league is holding registration for both a men's league and a women's league. Only a total of 400 players can register, and each team consists of exactly 10 players. If 24 women's teams have already registered, which inequality could be used to find m, the number of men's teams that can register?
A.
24(10) + 10m < 400
B.
24(10) + 10m > 400
C.
24(10 + 10m) > 400
D.
24(10 + 10m) < 400
Augusto nació en Roma el 23 de septiembre del año 63 a. C y fue el primer emperador romano que gobernó entre el año 27 a. C y 14 d. C considerándose como el emperador con el reinado más prolongado de la historia. Después de su muerte el 19 de agosto del año 14 d. C el senado romano lo inmortalizó glorificando su legado, por esta razón, varios de los emperadores que lo siguieron adoptaron sus nombres. ¿Cuántos años cumplidos vivió Augusto?
Answer:
Augusto vivió durante 75 años cumplidos, muriendo casi un mes antes de cumplir 76 años.
Step-by-step explanation:
Dado que Augusto nació en Roma el 23 de septiembre del año 63 a. C y fue el primer emperador romano que gobernó entre el año 27 a. C y 14 d. C considerándose como el emperador con el reinado más prolongado de la historia, y después de su muerte el 19 de agosto del año 14 d. C el senado romano lo inmortalizó glorificando su legado, por esta razón, varios de los emperadores que lo siguieron adoptaron sus nombres, para determinar cuántos años cumplidos vivió Augusto se debe realizar el siguiente cálculo:
Nacimiento: 23/09/63 AC
Primer año: 23/09/62 AC
Tercer año: 23/09/60 AC
Sesenta y dos años: 23/09/01 AC
Sesenta y tres años: 23/09/01 DC
Setenta y tres años: 23/09/11 DC
Setenta y cinco años: 23/09/13 DC
Así, Augusto vivió durante 75 años cumplidos, muriendo casi un mes antes de cumplir 76 años.
Easy
a) -2,-5.-8.-11,...
Step-by-step explanation:
???????? what is easy??
Someone help me pls
47 as the sum of ______
9514 1404 393
Answer:
(a) 6² +3² +1² +1² = 47
(b) 5² +4² +2² +1² +1² = 47
(c) 3³ +4² +2² = 47
Step-by-step explanation:
It can work reasonably well to start with the largest square less than the target number, repeating that approach for the remaining differences. When more squares than necessary are asked for, then the first square chosen may need to be the square of a number 1 less than the largest possible.
The approach where a cube is required can work the same way.
(a) floor(√47) = 6; floor(√(47 -6^2)) = 3; floor(√(47 -45)) = 1; floor(√(47-46)) = 1
__
(b) floor(√47 -1) = 5; floor(√(47-25)) = 4; ...
__
(c) floor(∛47) = 3; floor(√(47 -27)) = 4; floor(√(47 -43)) = 2
Given the function (Image below) [Algebra ll]
algebra 1 solve − 0.32 + 0.18 = 0.25 − 1.95
Answer:
Step-by-step explanation:
Add 0.32 and 0.18 to get 0.5.
0.5=0.25 - 1.95
subtract 1.95 from 0.25 to get —1.7.
0.5=—1.7
compare 0.5 and —1.7.
flase
Given PQR, R=90º....
Answer:
RQ = 9 units
Step-by-step explanation:
bobby drove 110 miles and his car used 5 gallons of gas. How many miles can he drive with 16 gallos of gas
Answer:
Bobby can drive 352 miles with 16 gallons of gas.
Step-by-step explanation:
110 miles uses 5 gallons of gas.To find how many miles can be driven with one gallon we divide 110 by 5.
110 ÷ 5 = 22
Therefore to find the amount of miles that can be driven with 16 gallons we multiply 16 × 22 = 352
Problem: Construct a triangle with interior angle measures of 60° and 60°. Let one of the side lengths be 10. What are the lengths of the other sides?
Answer:
The lengths of the other sides would be 10, as well.
Step-by-step explanation:
Since we already know two of the three angles, we can subtract to find the other angle. The interior angles of a triangle will always add up to 180°. We have 60° and 60°, giving us 120°. 180 - 120 is equal to 60°, so that's the missing angle. Because all of the angles are the same, this is an equilateral triangle, which means the sides also have to be the same length. If one of the sides is 10, all of the sides are 10.
The triangle with sides 10 , 10 and 10 and all angles at 60° is an equilateral triangle
What is an Equilateral Triangle?An equilateral triangle is a triangle in which all three sides have the same length.
Let the triangle be ΔABC , and
∠A = ∠B = ∠C = 60° and AB = BC = CA
Given data ,
Let the triangle be represented as ΔABC
Let the side length of the triangle be AB = 10
Now , the measure of ∠ABC = 60°
And , the measure of ∠BAC = 60°
So , the total sum of all the angles in a triangle = 180°
And , the measure of ∠ACB = 180° - ( 60° + 60° ) = 60°
Therefore , all the angles of the triangle are 60°
So , it is an equilateral triangle
And , the measure of side lengths of the triangle is 10
Therefore , AB = BC = CA = 10
Hence , it is an equilateral triangle
To learn more about equilateral triangle click :
https://brainly.com/question/17824549
#SPJ3
The side of an equilateral triangle is 22. Find the exact length of the altitude.
Use the exact value, meaning leave your answer with a radical.
PLEASE HELP THE TEST IS DUE IN 5 MINS
Step-by-step explanation:
here's the answer to your question
Which numbers are solutions to the inequality X > 14- 5? Check all that apply.
fractions larger than
14.
decimals larger than 14
145
whole numbers larger than 14
the number 14
fractions smaller than 14
2
Answer:
fractions larger than 14 and one-half
decimals larger than 14 and one-half
whole numbers larger than 14 and one-half
Step-by-step explanation:
Which numbers are solutions to the inequality x greater-than 14 and one-half? Check all that apply.
Given that the inequality is represented by [tex]x>14\frac{1}{2}[/tex], i.e. x > 14.5
This inequality represent all the set of real numbers which are greater than 14.5. Whereas numbers including 14.5 and below are not involved. Hence the numbers that are a solution to this inequality are:
fractions larger than 14 and one-half
decimals larger than 14 and one-half
whole numbers larger than 14 and one-half
Find the measure of the missing angle using the exterior angle sum theorm
Step-by-step explanation:
the sum of angels of a triangle is 180°
130+ ? + (180-160) = 180
130+ ? +20= 180
150+ ? = 180
? = 30°
the missing angle is 30°
pls help beestar is not fun
Write a phrase in words to match each expression.
5+3
——
n
Answer:
sum of five and 3 is divided by n
need help w question in this pic thanks!!
Given:
A figure of a circle.
To find:
The value of x.
Solution:
First label the given figure as shown below.
In triangle ABO,
[tex]OA=OB[/tex] (Radii of same circle)
[tex]\Delta ABO[/tex] is an isosceles triangle. (By the definition of isosceles triangle)
[tex]\angle OAB\cong \angle OBA[/tex] (Base angles of an isosceles triangle)
[tex]m\angle OAB=m\angle OBA[/tex]
[tex]42^\circ=m\angle OBA[/tex]
In triangle ABO,
[tex]m\angle AOB+m\angle OAB+m\angle OBA=180^\circ[/tex] (Angle sum property)
[tex]m\angle AOB+42^\circ+42^\circ=180^\circ[/tex]
[tex]m\angle AOB=180^\circ-42^\circ-42^\circ[/tex]
[tex]m\angle AOB=96^\circ[/tex]
Now,
[tex]m\angle AOB+m\angle BOC=180^\circ[/tex] (Linear pair)
[tex]96^\circ+x=180^\circ[/tex]
[tex]x=180^\circ-96^\circ[/tex]
[tex]x=84^\circ[/tex]
Therefore, the value of x is 84 degrees.
help please i need help help
Answer: here is a picture of all of them I hope this helps :). This picture will clearly show the answers for 1 and 2
Step-by-step explanation:
The graph plots four equations, A, b,c,and d
Which pair of equations has (0.8) as its solution?
Equation A and Equation C
Equation B and Equation
Equation C and Equation D
Equation B and Equation D
Answer:
equation A and equation c
Answer:
Equation A and Equation C
HELPP!
The functions f(x) and g(x) are described using the following equation and table:
f(x)=-4(1.09)x
Answer:
A: The y-intercept of f(x) is equal to the x-intercept of g(x)
Step-by-step explanation:
From the equation of f(x) given, we have;
f(x) = -4(1.09)^(x)
Now,the y-Intercept will be the point where x = 0.
Thus;
f(0) = -4(1.09)^(0)
f(0) = -4
Now,from the table given for g(x), we can see that at x = 0,g(x) = -4.
Thus,it means that the y-intercept of f(x) is equal to the x-intercept of g(x)
[tex]\text{Solve for x.}\\\\5x + 10 = 35[/tex]
Answer:
x = 5
Step-by-step explanation:
5x + 10 = 35
Subtract 10 from both sides
5x + (10-10) = 35 - 10
Simplify
5x = 25
Divide both sides by 5
5x/5 = x
25/5 = 5
We're left with x = 5
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\boxed{x = 5}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'....}}\\\\5x + 10 = 35\\-------------\\\rightarrow 5x + 10 - 10 = 35 - 10\\\\\rightarrow 5x = 25\\\\\rightarrow \frac{5x=25}{5}\\\\\rightarrow \boxed{x = 5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
ASAP !!
If using the method of completing the square to solve the quadratic equation x^2+3x-17=0x
2
+3x−17=0, which number would have to be added to "complete the square"?
Answer:
17
Step-by-step explanation:
What is the value of the power? Negative StartFraction 9 Over 12 EndFraction Negative StartFraction 27 Over 64 EndFraction StartFraction 9 Over 12 EndFraction StartFraction 27 Over 64 EndFraction
Answer:
[tex](\frac{-3}{4})^3 = -\frac{27}{64}[/tex]
Step-by-step explanation:
Given
[tex](\frac{-3}{4})^3[/tex]
Required
Evaluate
The expression can be represented as:
[tex](\frac{-3}{4})^3 = (\frac{-3}{4})*(\frac{-3}{4})*(\frac{-3}{4})[/tex]
So, we have:
[tex](\frac{-3}{4})^3 = \frac{-3*-3*-3}{4*4*4}[/tex]
[tex](\frac{-3}{4})^3 = \frac{-27}{64}[/tex]
Rewrite as:
[tex](\frac{-3}{4})^3 = -\frac{27}{64}[/tex]
Answer:
B -27/64
Step-by-step explanation:
Someone tell me where everyone is going right please !!
Answer:
1min = 0.25miles
5.25miles / 0.25miles = 25 = 25minutes
Step-by-step explanation:
Hope this is right I'm not the best at worded time/distance math questions.
9514 1404 393
Answer:
0 ≤ t < 52.5 minutes
Step-by-step explanation:
Riko will be behind Yuto until her distance traveled matches his. That is, she will be behind for ...
0.35t < 5.25 +0.25t
0.10t < 5.25
t < 52.5
Riko will be behind Yuto on the interval 0 ≤ t < 52.5 minutes.
_____
Additional comment
distance = speed × time
Here, time is measured from when Riko starts riding. In addition to the 5.25 miles that Yuto has already gone, his distance will be the product of his speed (0.25 mi/min) and the travel time (t min). Then Yuto's total distance is 5.25+0.25t miles. The speed×time product is also used to find Riko's distance traveled. In her case, it is 0.35t miles.
Carol ran a 100 meter race in 13. 4 seconds. But, it was wrongly
measured as 14.1 seconds. What is the percent error involved in the
measurement?
Answer: Approximately 5.22%
========================================================
Work Shown:
A = true value = 13.4 seconds
B = measured value (erroneous value) = 14.1 seconds
C = percent error
C = [ (B-A)/A ] * 100%
C = [ (14.1-13.4)/(13.4) ] * 100%
C = 0.0522 * 100%
C = 5.22%
This value is approximate.
Given that is a standard normal random variable, find for each situation (to 2 decimals). a. The area to the left of is . (Enter negative value as negative number.) b. The area between and is . c. The area between and is . d. The area to the left of is . e. The area to the right of is . (Enter negative value as negative number.)
Answer:
-0.80
1.66
0.26
2.56
-0.50
Step-by-step explanation:
The values are the probability values either to the right or left of a given z - value ;
The Z - values could be obtained using the standard normal distribution table or a calculator :
Using the Z probability calculator ;
Area to the left of z is 0.2119
1.)
P(z < z) = 0.2119
z = - 0.8
2.)
Area between - z and z = 0.9030
Area to the left of z = 0.9030 plus
Area to the right of z = (1 - 0.9030) / 2 = 0.097/2 = 0.0485
(0.9030 + 0.0485) = 0.9515
P(z < z) = 0.9515
z = 1.66
3.)
Area between - z and z = 0.2052
Area to the left of z = 0.2052 plus
Area to the right of z = (1 - 0.2052) / 2 = 0.7948/2 = 0.3974
(0.2052 + 0.3974) = 0.6026
P(z < z) = 0.6026
z = 0.26
D.)
The area to the left of z is .9948
P(Z < z) = 0.9948
z = 2.562
E.)
The area to the right of z is .6915.
P(Z < z) = 1 - 0.6915
P(Z < z) = 0.3085
z = - 0.5
ABCD is a quadrilateral.
a) Calculate the value of x.
b) When ABCD is drawn to scale, would the lines AD and BC be parallel or not? A You must justify your answer without using a scale drawing.
Answer:
A) 45=x
B) Yes, since both A and B are 90°
6x+90=360
6x=270
x=45
No lines are not parallel
Given f(x)= 2^x and g(x)=x^2 answer the questions that follow
a. Your friend claims the graph of f(x)=2x increases at a faster rate than the graph of g(x)=x2 when x ≥ 0. Is your friend correct? Explain your reasoning.
b. How are the 2 functions different?
PLEASE HELP
Answer:
a. Yes it's correct, reasons;
I) let x=1, f(1)=2^1=2, g(x)=1^2=1 this proves that when a higher number is used the value of f(x) will be higher than g(x).
ii) As x approaches zero f(x) approaches 1, but g(x) approaches 0. Which will make the rate at which the graph of f(x) increase be faster than g(x)
b. f(x) has an infinite degree but g(x) has a finite degree of 2.
Which of the following is the explicit rule for a geometric sequence defined by
a recursive formula of a, - 138-1 for which the first term is 7?
Answer:
C
Step-by-step explanation:
What you wrote is not the same thing as what the question is, or at least I don't think so. I'll answer the printed question.
First of all, the 13 is what separates each of the terms. In other words 7 is the first term. 13 must be raised to the n - 1 power.
It is written like this
an = 7 * 13^(n - 1)
you want a1 to be 7. The only way that can happen is if 13^0 which gives you 1.
So the correct answer is C
Which equation in slope-intercept form represents a line that is parallel to y=1/2x-2 and passes through the point (-8,1)?
Answer:
[tex]\displaystyle y=\frac{1}{2}x+5[/tex]
Step-by-step explanation:
We want to find the slope in slope-intercept form of a line that is parallel to:
[tex]\displaystyle y=\frac{1}{2}x-2[/tex]
And passes through the point (-8, 1).
Recall that parallel lines have equivalent slopes.
Since the slope of our given line is 1/2, the slope of our new line must also be 1/2.
We are also given that it passes through the point (-8, 1). Since we are given a slope and a point, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Substitute 1/2 for m and (-8, 1) for (x₁, y₁). Hence:
[tex]\displaystyle y-(1)=\frac{1}{2}(x-(-8))[/tex]
Since we want the equation in slope-intercept form, we can isolate y. Distribute:
[tex]\displaystyle y-1=\frac{1}{2}x+4[/tex]
Therefore, our equation is:
[tex]\displaystyle y=\frac{1}{2}x+5[/tex]
Pier is a teacher
There are 13 boys and 17 girls in the class
Pier chooses one student at random
Workout the probability the student is a boy
Answer:
I think its 43%
Explanation
math
The probability of Pier choosing a boy is 0.43 or 43%.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
The total number of students in the class is:
13 boys + 17 girls
= 30 students
The probability of Pier choosing a boy is the number of boys in the class divided by the total number of students:
Probability of choosing a boy.
= number of boys / total number of students
Probability of choosing a boy.
= 13 / 30
Probability of choosing a boy.
= 0.4333 or approximately 0.43
Therefore,
The probability of Pier choosing a boy is 0.43 or 43%.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2
How many triangles are there in the picture?
five I think I am not sure