Which point lies outside the circle with equation (x - 2)2 + (y + 3)2 = 4?
(1, -4)
(0, -3)
(2, 0)
(2, -4)
Answers
(2, 0)
The only point outside of the line is (2, 0)
In order to find if a point is outside, inside or on the line, you simply have to put the number into the equation. If the result is both sides are equal, then it is on the line. If the left side is bigger than the right side, then it is outside of the line. If the right side is bigger than the left, then it is inside of the line. So lets plug in and see where (2, 0) falls.
(x - 2)^2 + (y + 3)^2 = 4
(2 - 2)^2 + (0 + 3)^2 = 4
0^2 + 3^2 = 4
0 + 9 = 4
9 = 4
Since the left side is bigger than the right, we know it is outside of the line
Related Questions
Please help me.......
Answers
A circle has a radius of 2 yards and a central angle aob that measures 145°. what is the area of sector aob? use 3.14 for pi and round your answer to the nearest tenth.
Answers
A = (S '/ S) * (pi) * (r ^ 2)
Where,
S '/ S = relation of arcs
r: radius of the circle
Substituting values we have:
A = (145/360) * (3.14) * (2 ^ 2)
A = 5.058888889
Rounding off we have:
A = 5.1 yd ^ 2
Answer:
the area of sector "aob" is:
A = 5.1 yd ^ 2
A rock is projected directly upward from ground level with an initial velocity of 90 ft/sec. After how many seconds will it return to the ground?
Answers
h (t) = -16t ^ 2 + 90t
Equaling the equation to zero we have:
-16t ^ 2 + 90t = 0
We look for the roots of the polynomial:
(t) (- 16t + 90) = 0
t1 = 0 (initial position)
t2 = 90/16 = 5.625 s (time it reaches the ground again)
Answer:
it will return to the ground in:
t = 5.625 s
Which right triangular prism has the greatest volume?
Answers
Answer:
So Prism D has the greatest volume.
Step-by-step explanation:
Since volume of a triangular prism = A × h
where A = Area of base of prism
h = height
For prism (A) ⇒ Volume = ( 6 × 7 ) × 9
= 42 × 9 = 378m³
Prism (B) ⇒ Volume = ( 5 × 6 ) × 13
= 30 × 13 = 390m³
Prism (C) ⇒ Volume = ( 11 × 8 ) × 8
= 88 × 8 = 704m³
Prism (D) ⇒ Volume = ( 10 × 8 ) × 9
= 80 × 9 = 720m³
So prism D has the maximum volume.
Write a report to the president of the company explaining the solutions.
Answers
Answer:
The negative part of the solution set is ignored, because you cannot produce a negative number of phones.
The company has at least an 80% success rate if the next 25 or more phones that are assembled work.
Because the company has already made 10 phones and 7 are not working, if the next 25 phones work, the 35th phone puts the company at its goal of 80% or more.
Step-by-step explanation:
Maci has a family photograph with a width of 4 in and a height of 6 in. She wants to enlarge the photograph so that its width is 10 in. What will the height of the enlarged photograph be?
A. 13 in
B. 14 in
C. 12 in
D. 15 in
Answers
If it’s the weekend, the chances of Allison going to the store is 4/5. If its a weekday, the chances are 2/5. Given that Allison will not go to the store, what is the probability that it’s the weekend?
Answers
If its a weekday, the chances are 2/5.
Given that Allison will not go to the store the probability that it’s the weekend? will be:
1-(it's a weekend and Allison will go to the store)
=1-4/5
=1/5
Answer: 1/5
Brendan has 33 coins in his pocket, all of which are dimes and quarters. if the total value of his change is 615 cents, how many dimes and how many quarters does he have?
Answers
Brendan has 14 dimes and 19 quarters.
If a section of a line graph falls to the right, what does that indicate?
an increase
a decrease
no change
a mistake in the graph
Answers
Debbie’s pizza shack cuts a large pizza into 10 equal slices. The diameter of the pizza is 16 inches. Bob eats two slices of pizza. How much pizza does he eat ?
Answers
Debbie’s pizza shack cuts a large pizza into 10 equal slices. The diameter of the pizza is 16 inches. Bob eats two slices of pizza. How much pizza does he eat ?
Solution:
There are 10 equal slices of pizza
Out of 10 slices bob eats 2 slices.
So, out of one pizza bob eats [tex] \frac{2}{10} [/tex] or [tex] \frac{1}{5} [/tex] th of the pizza
Calculating in terms of area,
Diameter of Pizza= 16 inches
So, Radius of Pizza= [tex] \frac{Diameter}{2} [/tex]
Radius of pizza=[tex] \frac{16}{2} [/tex]=8inches
Area of complete pizza= πr²=π8²=64π=200.96inches²
Area of the part had by Bob=[tex] \frac{1}{5} [/tex]*200.96 inches²
=40.192inches²
Bob had 40.192 inches² out of 200.96 inches² pizza
Can someone help me with these four questions? They're the pictures (including possible answers)
Answers
Start by drawing a dot on each y-coordinate of every given x value in the interval table (-13, -10, -5, -2, and 0). Then, for each interval, draw a straight line between the two y-coordinates of the two x-values given in the interval. So, for interval A, you would draw a straight line from f(-13) to f(-10). This line would have a steep downward slope; this means that the average rate of change over this interval is negative, or less than zero. A satisfies the question.
Interval B has a positive slope between the two y-coordinates, so it doesn’t satisfy the question. Interval C has a line with a slope of 0, but does satisfy the question because it’s asking for average changes less than or equal to zero.
The answer for this problem would be intervals A and C, the answer that is selected.
One competitor in a 100-mile bicycle race took a total of 5 hours to complete the course. his average speed in the morning was 23 miles per hour. his average speed in the afternoon was 13 miles per hour. how many hours did he ride in the morning, and how many hours did he ride in the afternoon?
Answers
We set up two different equations to represent the given info in the description. The first one is morning time + afternoon time = total time to complete the course. So it's x + y = 5. Next, we do morning average multiplied by morning ride time + afternoon average multiplied by afternoon ride time = total distance. So it's 23x + 13y = 100. Then, set up a system of equations:
x + y = 5
23x + 13y = 100
Now, we must pick which variable we want to solve for first. This way we can plug the number we solve for back into one of the original equations to find the other missing variable. I'm going to solve for x first so we multiply by the first equation by - 13. You'll see why in a bit.
- 13(x + y = 5) >> - 13x - 13y = - 65
Your new system of equations is:
- 13x - 13y = - 65
23x + 13y = 100
Now we combine like terms amongst the two equations. Notice the y-variables will cancel each other out, leaving us with just the x to solve for like I want.
10x = 35
Divide by 10 on both sides to isolate variable x
x = 35/10 or 3.5
Now that we have x, we solve for y. Plug your x-value back into either equation; I choose the first because it's easiest.
3.5 + y = 5
Subtract 3.5 from both sides to isolate variable y.
3.5 + y - 3.5 = 5 - 3.5
y + 0 = 1.5
y = 1.5
So the competitor rode 3.5 hours in the morning and 1.5 hours in the afternoon.
OR
The competitor rode 3 hours, 30 minutes in the morning and 1 hour, 30 minutes in the afternoon.
One quadratic function has the formula h(x) = -x 2 + 4x - 2. Another quadratic function, g(x), has the graph shown below
Which option below best describes the maximums of these two functions?
Functions g and h have the same maximum of -2.
Functions g and h have the same maximum of 2.
Function h has the greater maximum of -2.
Function g has the greater maximum of 2.
Answers
Complete the square of h(x) = -x^2 + 4x - 2:
h(x) = -x^2 + 4x - 2 = -(x^2 - 4x) -2
= -(x^2 - 4x + 4 - 4) - 2
=-(x^2 - 4x + 4) -2+4
= -(x-2)^2 + 2 The equation describing this parabola is y=-(x-2)^2 + 2, from which we know that the maximum value is 2, reached when x = 2.
The 2 graphs have the same max, one at x = -2 and one at x = + 2.
Answer:
Functions g and h have the same maximum of 2.
Step-by-step explanation:
Jacqueline is deciding between two mortgages for her new home. The first mortgage is an 80/20 mortgage with interest rates of 4.75 and 7.525%, respectively. The second mortgage is a 30-year mortgage with a 5.25% and a $58.30 monthly PMI. If the house price is $145,000, which mortgage payment will be lower initially, and by how much?
Answers
Final answer:
The initial payment for the first mortgage will be lower by $409.07.
Explanation:
To determine which mortgage payment will be lower initially and by how much, let's calculate the monthly payments for each option.
First Mortgage: 80/20 Mortgage
The first mortgage has two parts, with interest rates of 4.75% and 7.525% respectively. Assuming a house price of $145,000, the loan amount for the first part is 80% of $145,000 = $116,000, and the loan amount for the second part is 20% of $145,000 = $29,000.
Monthly payment for the first part: Principal * Monthly interest rate = $116,000 * (4.75% / 12) = $463.33
Monthly payment for the second part: Principal * Monthly interest rate = $29,000 * (7.525% / 12) = $183.23
Total monthly payment for the first mortgage: $463.33 + $183.23 = $646.56
Second Mortgage: 30-Year Mortgage with PMI
The second mortgage is a 30-year mortgage with an interest rate of 5.25% and a $58.30 monthly PMI.
Loan amount for the second mortgage: $145,000
Monthly payment for the second mortgage: Principal * Monthly interest rate + PMI = $145,000 * (5.25% / 12) + $58.30 = $1,055.63
Therefore, the initial payment for the first mortgage will be lower by $1,055.63 - $646.56 = $409.07.
Jacqueline's first mortgage option has a lower initial monthly payment of $808.04 compared to the second option's $859.69, making it $51.65 cheaper monthly.
Jacqueline is choosing between two mortgage options for a $145,000 house. Let's compare the monthly payments for each mortgage.
Option 1: 80/20 Mortgage
This option involves two loans: the first for 80% of the house price ($116,000) at 4.75%, and the second for 20% ($29,000) at 7.525%.
First loan monthly payment: Use the formula for the monthly payment on a mortgage:M = P[r[tex](1+r)^{n}[/tex]] / [[tex](1+r)^{n-1}[/tex]]
Where P is the loan amount, r is the monthly interest rate, and n is the number of payments.
P = $116,000, r = 4.75%/12 = 0.003958, n = 30*12 = 360First loan monthly payment: $606.69Second loan monthly payment: P = $29,000, r = 7.525%/12 = 0.006271, n = 30*12 = 360Second loan monthly payment: $201.35Total first option monthly payment: $606.69 + $201.35 = $808.04
Option 2: 30-year Mortgage
Total loan amount: $145,000, PMI = $58.30Calculate mortgage payment using the same formula: P = $145,000, r = 5.25%/12 = 0.004375, n = 30*12 = 360Monthly payment before PMI: $801.39Total second option monthly payment: $801.39 + $58.30 = $859.69Now, comparing the two, the first option has an initial monthly payment of $808.04, while the second option has an initial monthly payment of $859.69. So, the first mortgage payment is lower by $51.65.
Two angles are complementary. The measure of the largest angle is two times the measure of the smaller angle. What is the measure of the larger angle?
Please help! :D
Answers
one of the angles is twice as large as the smaller one
let the larger angle be x, and the smaller = y
x = 2(y)
x + y = 90
Plug in 2y for x
2y + y = 90
simplify, combine like terms
2y + y = 90
3y = 90
isolate the y, divide 3 from both sides
3y/3 = 90/3
y = 90/3
y = 30
plug in 30 for y in the equation x + y = 90
x + (30) = 90
isolate the x, subtract 30 from both sides
x + 30 (-30) = 90 (-30)
x = 90 - 30
x = 60°
The measurement of the larger angle is 60°
hope this helps
Find the volume of the cylinder in terms of pi. (h = 6 and r = 3)
Thank you!
Answers
so the volume of this slanted cylinder is really the same volume as a right-circular one,
[tex]\bf \textit{volume of a right-circular cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ -----\\ r=3\\ h=6 \end{cases}\implies V=\pi (3)^2(6)\implies V=54\pi [/tex]
HELP! - Chloe must pick a 6-digit personal identification number for her bank card. Each digit must be between 0 and 9. Which expression represents the number of different combinations of 6-digit numbers she can create?
|
A: 6+10
B: 6x10
C: 10x10x10x10x10x10
D: 6x6x6x6x6x6x6x6x6x6
Answers
to find the number of combinations you would multiply the number pf digits to choose from (10) by the number of digits required (6)
so you would have 10 x 10 x 10 x 10 x 10 x 10
the answer would be C.
Answer: c
C: 10x10x10x10x10x10
Jack rolls 6 sided number cube labeled 1-6 twice. to the nearest hundredth, what is the probability that the first roll is 4 and the second roll is an even number
Answers
The probability that the first roll is a 4 is 1/6, since there is one 4 out of six total possibilities.
The probability that the second roll is an even number is 3/6, since there are 3 even numbers out of 6 possibilities.
Together, we have 1/6(3/6) = 3/36 = 0.08
[tex] |\Omega|=6^2=36\\
|A|=1\cdot3=3\\\\
P(A)=\dfrac{3}{36}=\dfrac{1}{12}\approx8.3\% [/tex]
Confused, thanks.
Can you use a right triangle to represent the distance the distance between any two points on the coordinate plane? Explain.
Answers
Final answer:
A right triangle can represent the distance between two points on the coordinate plane using the Pythagorean theorem.
Explanation:
Yes, a right triangle can be used to represent the distance between any two points on the coordinate plane. By connecting the two points with a straight line, the path forms the hypotenuse of a right triangle, and the legs represent the distance along the x and y axes. Using the Pythagorean theorem, a² + b² = c², we can calculate the straight-line distance between the two points.
write “10 times the value of y” three different ways using symbols
Answers
10y
y*10
y(10)
Use a calculator to find the r-value of these data. Round the value to three decimal places.
Answers
It's calculated as
r = -108.2 / √((132.8)(90.8)) = -0.9853
Set your calculator to REG then LIN. Input the data as 5,19 then press M+. Continue doing this until the last data. To find r, press SHIFT then number 2 and look for r value. You can only follow this procedure if we have the same calculator. You can use an online calculator also in finding r. in socscistatistics (dot) com. Refer to the attached picture for the graph, values, and computation.
Answer:
i believe the answer is a.
Step-by-step explanation:
2. Draw a right triangle with side lengths of 3, 4, and 5 units.
Answers
Answer:
My options for triangles
PLEASEEE HALPPPPPP >.<
two boats start at the same point and speed away along courses that form 110 degree angle. if one boat travels at 24 miles per hour and the other boat travels at 32 miles per hour. how far apart are the boats after 30 minutes?
A. 21 miles
B. 22 miles
C. 23 miles
D. 24 miles
E. 25 miles
Answers
You divide 2 into 32 and get 16, then you add 16 plus 14 subtract 9 and get 21
The distance between the boats after 30 minutes is approximately 23.04 miles. Option C
How to find the distance between the two boats after 30 minutesTo find the distance between the two boats after 30 minutes, use the law of cosines. Let's denote the distance between the boats as "d".
We know that one boat is traveling at 24 miles per hour, and the other boat is traveling at 32 miles per hour. In 30 minutes (or 0.5 hours), the first boat would have traveled 24 * 0.5 = 12 miles, and the second boat would have traveled 32 * 0.5 = 16 miles.
Now, applying the law of cosines:
[tex]d^2 = (12)^2 + (16)^2 - 2 * 12 * 16 * cos(110^o)[/tex]
Calculating the equation:
[tex]d^2 = 144 + 256 - 384 * cos(110^o)[/tex]
Now, evaluate cos(110°):
cos(110°) ≈ -0.34202
Substituting the value:
[tex]d^2[/tex] = 144 + 256 - 384 * (-0.34202)
[tex]d^2[/tex] = 144 + 256 + 131.23808
[tex]d^2[/tex] ≈ 531.23808
Taking the square root:
d ≈ 23.04
Therefore, the distance between the boats after 30 minutes is approximately 23.04 miles.
Rounded to the nearest whole number, the answer would be 23 miles (Option C).
Read on boats on https://brainly.com/question/27727388
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Tell whether the study is an experimental study or an observational study.
You want to study the effects of regular exercise on a person’s heart rate. You measure the heart rate of a person at rest and again after jogging in place for 5 minutes. The control group is every other student who enters the room. The experimental group is those students who are not in the control group.
Answers
Final answer:
The study described is an experimental study. The independent variable is regular exercise and the dependent variable is the person's heart rate. The control group is the group of students who do not exercise, while the experimental group is the group of students who engage in regular exercise.
Explanation:
The study described is an experimental study.
In an experimental study, the researcher directly manipulates the independent variable to determine its effect on the dependent variable. In this case, the independent variable is regular exercise and the dependent variable is the person's heart rate.
The control group is the group of students who do not exercise, while the experimental group is the group of students who engage in regular exercise. By comparing the heart rates of the two groups before and after exercise, the researcher can determine the effects of exercise on heart rate.
What rate of simple interest is needed for $700 to double, in 3 years?
Answers
The rate of simple interest required for $700 to double in 3 years is found using the formula I=PRT. In this scenario, the rate comes out to be approximately 33.3%.
Explanation:The subject of this question is finding the rate required for simple interest to cause an investment of $700 to double in a duration of 3 years.
Generally, we use the formula for simple interest: I=PRT where P is the principal amount (700 in this case), I is the interest earned, R is the rate we want to find and T is the time period in years.
However, since the aim is for the $700 to double, the interest earned will be an additional $700, thereby making the total $1400. Thus, substituting these values into the formula, we get 700 = 700 * R * 3. Simplifying this, we find that R = 700/(700*3) = 1/3 or approximately 33.3%.
Hence, the rate of simple interest required for $700 to double in 3 years is approximately 33.3%.
Learn more about Simple Interest here:https://brainly.com/question/22621039
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R = 1/3 or 33.33%. So, the simple interest rate needed for $700 to double in 3 years is approximately 33.33%.
To find out the simple interest rate that is needed for $700 to double in 3 years, we can set up the equation based on the formula for simple interest, which is I = PRT (where I is the interest, P is the principal amount, R is the rate of interest, and T is the time period in years).
Since the student wants the money to double, the interest gained should be equal to the principal, which means I = $700. The time given is T = 3 years. Plugging these values into our formula, we get:
$700 = $700 × R × 3
By dividing both sides by $2100 ($700 ×3), the equation simplifies to:
R = $700 / $2100
Therefore, R = 1/3 or 33.33%. So, the simple interest rate needed for $700 to double in 3 years is approximately 33.33%.
1. a stockholder owns 381.881 shares. by the end of the year, he had increased his number of shares by 14.814. what is the total number of shares owned by the stockholder?
2. last week a sales representative earned a salary of $412.56 and a commission of $72.48. how much did she earn in all?
3.joan deposited a check for $48.51 in her checking account. if the previous balance was $381.49, how much money does joan now have in the account?
Answers
2 is 485.04
3 is 430
If AB=7 and AO=17.4 what is the length of the radius?
Answers
(AO)² = (AB)²+(OB)²
(17.4)²=(7)²+ r²
Therefore, Radius = 15.92 cm Approximately.
r² = 17.4² - 7² = 253.76
r = √253.76 ≈ 15.9
Determine the magnitude and the ordered pair that represents the vector from (18,3) to (-4,16)
Answers
(18,3), (-4,16), component form => (-4-18 , 16-3), => (-22 , 13)
[tex]\bf ||\ \textless \ -22,13\ \textgreater \ ||\implies \sqrt{(-22)^2+(13)^2}\implies \sqrt{497}[/tex]
Answer:
The answer is B.
Step-by-step explanation:
(-22,13); magnitude=25.6
I am taking the cumulative review.
EXTRA POINTS
Find an equation, in slope-intercept form, that passes through point (1, 5) with slope 1.
Select one:
a. y = -x + 1
b. y = x + 4
c. y = -x + 4
d. y = x + 1
Answers
The given point is (x,y) = (1,5) which means x = 1 and y = 5 pair up together.
Plug the three pieces of info (m = 1, x = 1, y = 5) into the y = mx+b equation. Then solve for b
y = mx+b
y = 1*x + b ... replaced m with 1
5 = 1*1 + b .... replaced x with 1, replaced y with 5
5 = 1+b
1+b = 5
b+1 = 5
b+1-1 = 5-1
b = 4
Since m = 1 and b = 4, we know that y = mx+b turns into y = 1x+4 which simplifies to y = x+4
-----------------------------------------------------------------------------------
Answer: y = x+4
. A circular window has a diameter of 40 centimeters. What is the circumference of the window? Use 3.14 for π π 251.2 cm