Answer:
x² + y² = 49
Step-by-step explanation:
The circle being centred at the origin simplifies things a lot. Also, given an x-intercept point makes it easy to find the origin.
The equation for a circle is:
(x - x₁)² + (y - y₁)² = r²
Where (x₁, y₁) is the centre point of the circle.
In this case, the centre of the circle is (0, 0), giving us:
x² + y² = r²
We are told that the circle intercepts (-7, 0), which tells us that it has a radius of 7.
We can simply plug that into the given equation and say:
x² + y² = 7²
x² + y² = 49
More:***NOTE***
This is not part of the answer to the question, just an expansion of it.
Generically speaking, The equation for a circle is:
(x - x₁)² + (y - y₁)² = r²
Which applies when the centre of the circle is not at the origin. For example, if the given circle was centred around the point (6, 8), with the same radius of 7, then the circle's equation would be (x - 6)² + (y - 8)² = 49.
The other complication that could show up is if the given border point does not have the same x or y coordinate as the circle's centre. For example, if we are given a centre point of (-4, 6) and a border point of (-1, 2), we would first need to use the Pythagorean theorem to find the circle's radius:
r² = (x - x₁)² + (y - y₁)²
r² = (-4 - (-1))² + (6 - 2)²
r² = (-3)² + 4²
r² = 9 + 16
r² = 25
r = 5
We can then plug that into the proper equation, giving us:
(x + 4)² + (y - 6)² = 25
You can also expand and group terms to express that in general form:
x² + 8x + 16 + y² - 12y + 36 = 26
x² + y² + 8x - 12y + 26 = 0
Again, note that this part of the answer is not related to the original question, but an expansion on it.
ILL GIVE BRAINLEST, please no links and show work :)
Answer:
80
Step-by-step explanation:
x + (2x-60) = 180
combine like terms
3x - 60 =180
add 60 to both sides
3x = 240
divide both sides by 3
x = 80
plug it back in to check
80 + (2(80) - 60 = 180
80 + (160 -60) = 180
80 + (100) = 180
180 = 180
Solve the system of equations.
y = 4x
y= x^2+ 3
Answer:
x=3 and x=1
Step-by-step explanation:
find roots of the equation by equating 4x and x^2+3 to eachother
During a 5% off sale Diego pays $74.10 for a new hockey stick what was the original price
Answer:
3.705
Step-by-step explanation:
do 5% of 74.10
tell me if you get it right!!! :)
Paul and Tammy went out to dinner and the total of their meals was $37.85. Paul spent $12.55 less than what Tammy spent. How much did Paul spend?
Answer:
Paul spent $12.65
Step-by-step explanation:
Create a system of equations where p is how much Paul spent and t is how much Tammy spent.
p + t = 37.85
p = t - 12.55
Solve by substitution:
p + t = 37.85
(t - 12.55) + t = 37.85
2t - 12.55 = 37.85
2t = 50.4
t = 25.2
Find how much Paul spent by plugging in 25.5 as t into p = t - 12.55
p = t - 12.55
p = 25.2 - 12.55
p = 12.65
So, Paul spent $12.65
Explain how u got the answer
Answer:
rectangle = 2(50) +2(70) + 2(35) = 310
square = 2(32) + 2(12) + 2(24) = 136
Add
136 + 310 = 446 cm^2
SA = 446 cm^2
hope you can give me brainliest !
Step-by-step explanation:
I need help answering this
Megan earned the following test grades for the third nine weeks: 95, 84, 90, 78, 83. Find the mean absolute deviation of the data. Do not round, enter any decimal.
Answer:the answer is FREE COINS!
Step-by-step explanation:
From the figure below, Prove that segment JP is parallel to segment LM.
1. Slope of JP
(Write answer as a fraction. Ex 5/6. No spaces)
2. Slope of LM
(Write answer as a fraction. Ex 5/6. No spaces)
3. The two segments are Parallel or Perpendicular?
(spell out the correct
answer. No caps needed)
Answer:
1. Slope of JP is 2/3
2. Slope of LM is 2/3
3. The two segments are Parallel.
Step-by-step explanation:
1. Slope is easy to find out if you have a graph. Rise/Run is how I remember it. The only thing you have to do is count. If you count from P to J Down 2 unites, and left 3 units you get your answer.
2. Slope LM is the exact same as Slope PJ because they are parallel.
3They are parallel because they both have the same slope.
Which statements are true about the number 2One-fourth? Check all that apply.
Answer:
wheres the picture
Step-by-step explanation:
Will mark brainiest if u give a real answer not a link
create an exponential function given 2 point
1. (-1,2) and (1,8)
2. (1,1) and (-1,4)
1. y = 4 * 2^x
2. y = 2(1/2)^x
I hope this helps you, have a good day!
A. 49
B. 7
C. 17
D. 61
Answer:
B:17
Step-by-step explanation:
Because it logically is the only answer that makes sense.
49
Step-by-step explanation:
i dont even know tbh i just guessee
Help Help Help Help Help FAST GO ZOOOOOOOOOOOOM WITH THIS QUESTION PLEASE
Answer:
A. 60+x=90
Step-by-step explanation:
Complimentary angles are angles that add to 90.
Isabella is bouncing a rubber ball that has a density of 1.5 g/cm3 . The rubber ball has a volume of 113 cm³.
What is the mass of the rubber ball?
Answer:
The mass of the rubber ball is 169.5g
Step-by-step explanation:
we know that
The density is equal to the ratio of the mass by the volume
D=m/V
Solve for m
m=D*V
In this problem we have
V=113 cm^3
D=1.5 g/cm^3
substitute
m.1.5*113=169.5g
[4 + (3.5 × 10 – 7 × 2)] ÷ 5 A. 5 B. 24 C. 25 D. 46
Answer:
njkbjkb
Step-by-step explanation:
Answer:
A. 5
Step-by-step explanation:
4+(3.5)(10)−(7)(2) /5
Remove parentheses:
4+3.5*10-7*2/5
=[tex]\frac{25}{5}[/tex]
Divide the numbers:
[tex]\frac{25}{5}[/tex]=5
Find the scale factor of ΔABC to ΔFGH.
Answer:
4:3
Step-by-step explanation:
AC=8
FH=6
8/6=4/3=4:3
Calculate the volume of the shape below:
of
10 m
25 m
16 m
Answer:
4,000
Step-by-step explanation:
The length of each of the legs of an isosceles triangle is represented by the
expression 6x – 2 inches. The length of the base of the isosceles triangle is
represented by the expression 3x + 1 inches. The perimeter of the isosceles
triangle is 42 inches. What is the length of the base?
Answer:
10 inches
Step-by-step explanation:
6x-2+6x-2+3x+1=42
12x-4+3x+1=42
15x-3=42
15x=45
x=3
Plug x=3 into 3x+1
3*3+1
9+1=10
Length of base is 10 inches
The ordered pairs (20, -29.5),(21, -31), and (22, -32.5) are points on the graph of a linear equation. Which
of the following graphs show all of the ordered pairs in the solution set of this linear equation?
The graph that contains the 3 points is the bottom right graph.
Which line contains the 3 points?We want to see which of the graphs contains the 3 ordered pairs:
(20, -29.5),(21, -31), and (22, -32.5)
So we just need to look at the graphs and see which one has these points, notice that as x increases y decreases, so we have a decreasing line.
The slope of the decreasing line is:
a = (-31 + 29.5)/(21 - 20) = -1.5
The graph with this slope is the last one (bottom right, the other decreasing line has a slope of -1). So that is the correct option.
If you want to learn more about lines:
https://brainly.com/question/1884491
#SPJ2
Use the compass and ruler to construct the bisector of the angle given below.
Help anyone and can anyone explain this too!
Answer:
X = 9
Step-by-step explanation:
Vertical angles equal to each other, the example shows vertical angles.
6x + 2 = 54
-2 -2
6x/6 = 54/6
X = 9
Hope this helps you have a nice day!
NEED ANSWER ASAP TYY SO MUCH IN ADVANCE
Answer:
13.70
Step-by-step explanation:
a^2+b^2=c^2
a = side 1
b = side 2
c = hypotenuse
9.2^2 + b^2 = 16.5^2
272.25 - 84.64 = 187.61 =b^2
√187.61 = b = 13.697 = 13.70
Answer:
see I hope u understand
Find the equation of the line that goes through the point (4, -3) and has a slope of 0.
Answer:
y = - 3
Step-by-step explanation:
A line with a slope of 0 is horizontal and parallel to the x- axis with equation
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (4, - 3 ) with y- coordinate - 3, then
y = - 3 ← equation of line
HELPPP QUICK PLEASEE IM BEGGING YOU!!!!!!!!!!
Answer: 2 1/2
Step-by-step explanation:
That is the answer
Answer:
2 1/2
Step-by-step explanation:
A medication is 69 % effective against a bacterial infection. Find the probability that if 8 people take the medication at least 1 person's infection will not improve. Please round the final answer to three decimal places.
Answer:
5.52%
Step-by-step explanation:
there is a 5.52% chance of it not improving you do 69% of 8 and that determines if its not gonna get better.
WILL MAKE BRAINLIEST
find the slope of each line
Answer:
1) 7/3
2) Undefined
3) 1
4) 7/4
Step-by-step explanation:
Look at the right-angled triangle ABC.
32°
The square fits exactly inside the triangle.
Work out the sizes of angles x, y and z.
Answer:
∠x = 90°
∠y = 58°
∠z = 32°
Step-by-step explanation:
he dimensions of the angles given are;
∠B = 32°
Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;
∠A = 90°
∠B + ∠C = 90° which gives
32° + ∠C = 90°
∠C = 58°
∠x + Interior angle of the square = 180° (Sum of angles on a straight line)
∠x + 90° = 180°
∠x = 90°
∠x + ∠y + 32° = 180° (Sum of angles in a triangle)
90° + ∠y + 32° = 180°
∠y = 180 - 90° - 32° = 58°
∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)
58° + ∠z +90° = 180°
∴ ∠z = 32°
∠x = 90°
∠y = 58°
∠z = 32°
Will give brainlyist
The distance from New York City, New York, to Paris, France, is 3628 miles and the distance from New York City to London, England, is 3463 miles. Which distance is greater, and by how much?
A. The distance between New York City and London is greater by 65 miles.
B. The distance between New York City and Paris is greater by 65 miles.
C. The distance between New York City and Paris is greater by 165 miles.
D. The distance between New York City and London is greater by 165 miles.
Answer:
C. The distance between New York City and Paris is greater by 165 miles.
If you subtract 3628-3463 you get 165 miles
A puppy’s weight increased from 12 pounds to 15 pounds. By what percentage did the puppy’s weight increase?
=======================================================
Work Shown:
A = old value = 12 pounds
B = new value = 15 pounds
C = percent change
C = [ (B-A)/A ] * 100%
C = [ (15-12)/12 ] * 100%
C = (3/12)*100%
C = 0.25*100%
C = 25%
The positive C value indicates a percent increase
So effectively, we find the difference or change in weight (B-A) and divide it over the original weight (A). That leads to 0.25 which converts to 25%
Note that,
25% of 12 = 0.25*12 = 3
This says that the puppy gained 3 pounds, which is the value of B-A
Since the puppy gained 3 pounds, the new weight is 12+3 = 15 pounds
-----------
As an alternative, we could divide the two values B over A to find that
B/A = 15/12 = 1.25
Then subtract 1 from this result: 1.25 - 1 = 0.25 = 25%
evaluate the algebraic expression 18 + (- 31) =
Answer:
-13
Step-by-step explanation:
Which statement best explains conditional probability and independence?
When two separate events, A and B, are independent,
P(A and B) P(A).P(B)
P(BA)
P(B). This means that the
P(A)
P(A)
occurrence of event B first did not affect the probability of event A occurring next.
When two separate events, A and B, are independent,
P(A and B) P(A).P(B)
P(BA)
- P(B) This means that the
P(A)
P(A)
occurrence of event B first affected the probability of event A occurring next.
When two separate events, A and B, are independent,
P(A and B) P(A.P(B)
P(BA)
P(B)
P(A)
This means that the
PA
occurrence of event A first did not affect the probability of event B occurring next.
When two separate events, A and B are independent,
P(A and B) P(A).P(B)
P(BA)
P(B)
P(A)
P(A)
This means that the
Answer:
The answer of the question would be: C)
Step-by-step explanation:
When two separate events, A and B, are independent, P(A|B)=P(B). This means that the probability of event B occurring first has no effect on the probability of event A occurring next. Because of the evident independence.