WILL GIVE BRAINLIEST! Find an equation of the circle and sketch it if it has: Tangent to y-axis, r=5, contains (10, 7)
Center = (5,7)
Radius = 5
======================================================
Explanation:
The circle must be tangent to the y axis, and it has a radius of 5, so that means the center (h,k) must either be on the line x = 5 or x = -5, since those vertical lines are exactly five units away from the y axis.
But we're also told that (10,7) must be on the circle. That rules out x = -5 because the distance from (10,7) to (-5,k) is going to be larger than 5. I recommend drawing out a right triangle to see why this is the case.
So the center (h,k) must be on the line x = 5.
The center is the point (h,k) = (5,k)
Plug that h value along with (x,y) = (10,7) and r = 5 into the equation below
Solve for k.
(x-h)^2 + (y-k)^2 = r^2
(x-5)^2 + (y-k)^2 = 5^2 .... plug in h = 5 and r = 5
(10-5)^2 + (7-k)^2 = 25 ... plug in x = 10 and y = 7
25 + (7-k)^2 = 25
(7-k)^2 = 25-25
(7-k)^2 = 0
7-k = sqrt(0)
7-k = 0
-k = 0-7
-k = -7
k = 7
The center is (h,k) = (5,7)
We have (x-h)^2 + (y-k)^2 = r^2 updating to (x-5)^2 + (y-7)^2 = 25
The equation of the circle is (x-5)^2 + (y-7)^2 is25 . The center of the circle is Center is (5,7) .Radius of the circle is 5
What is equation of the circle?Circle's basic equation is represented by:
(x-h)2 + (y-k)2 = r2
where the radius is r and the circle's center's coordinates are (h,k).
Let's first consider what a circle is before determining its equation. A circle is a collection of all points in a plane that are uniformly distanced from a fixed point. The fixed point is referred to as the circle's center. The radius of a circle is the separation between the center and any point along its circumference. In this article, we'll explain what a circle's equation looks like in standard form and show you how to calculate a circle's equation when its center is both the origin and another point.
The center (h,k) of the circle, which must be tangent to the y axis and have a radius of 5, must either be on the line x = 5 or x = -5 since both vertical lines are both located exactly five units from the y axis.
The need that (10,7) be on the circle is also stated, though. That eliminates the possibility of x = -5 because the distance from (10,7) to (-5,k) will be more than 5. To understand why this is the case, I advise you to sketch a right triangle.
Therefore, the line x = 5 must contain the center (h,k).
The point (h,k) = is the center (5,k)
Given ,
In the equation below, enter that h value along with (x,y) = (10,7) and r = 5.
Calculate k using the formula.
(x-h)^2 + (y-k)^2 = r^2
(x-5)^2 + (y-k)^2 = 5^2 add a h = 5 and r = 5 plug.
(10-5)^2 + (7-k)^2 = 25 Input x = 10 and y = 7
25 + (7-k)^2 = 25
(7-k)^2 = 25-25
(7-k)^2 = 0
7-k = sqrt (0)
7-k = 0
-k = 0-7
-k = -7
k = 7
(h,k) = is the center (5,7)
Updated to (x-5) + (y-7) = 25, we have (x-h) + (y-k) = r2.
Therefore The equation of the circle is (x-5)^2 + (y-7)^2 is25
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WILL GIVE BRAINLIEST If a triangle is acute, then all three angles have a measure of 60°. Provide a counterexample to show that the statement is false. A) The three angles could be 30°, 30°, and 30° B) The three angles could be 30°, 60°, and 90° C) The three angles could be 30°, 70°, and 80° D) The three angles could be 30°, 30°, and 120°
Answer:
Answer C
Step-by-step explanation:
This is because acute triangles have angles that are under 90 degrees and Option A would be true to what you are trying to make false and B & D are false because they have angles that go over 90 degrees.
The other statements that provide contradiction to the given expression are option (B) and (C).
What is a acute triangle?An elementary polygon having three sides and three vertices is a triangle. There are three internal angles since it has three sides. An acute angle is one that ranges in measurement from 0° to 90°. A form of triangle called an acute triangle has acute angles at each of its three internal angles.
In the option (A),
the three angles could be 30°, 30°, and 30°.
These angles contradict the basic property of triangle.
Which is sum of all the triangles are 180°.
In the option (B),
the three angles could be 30°, 60°, and 90°.
The above angles hold the property of an acute triangle.
In the option (C),
The three angles could be 30°, 70°, and 80°.
The above angles also hold the property of an acute triangle.
In the option (D),
The three angles could be 30°, 30°, and 120°.
Angle 120° greater than 90°.
This statement contradicts the basic property of an acute triangle.
Therefore, the other statements that provide contradiction to the given expression are option (B) and (C).
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what is the coefficient of the simplified expression?
3x+2-3x+7+5x
Answer:
5x+9 (im pretty sure but i could be wrong) but hope i helped
Step-by-step explanation:
can someone help me? i'm confunsed and I don't know anything
Answer:
See Below
Step-by-step explanation:
ABCD primes all correspond to x and y values on the graph.
A=
B=
C=
D=
1) y- intercept
2) time of max height
3) time when balloon hits ground
4) x-intercept
5) max height
6) Initial height
So lets look at (0,A)
This would count as the y - intercept as well as the height they started throwing the balloons.
Soo....
A = y-intercept; Initial height
Now, (B,C)
This is the highest point on the graph, therefore it would be the max time and max height.
If we look at this as a person behind the line throwing the ballon, the y would be the height and the x would be the time
B = Time of max height
C=Max height
(D,0)
From the visual above, this point would be where the balloon hits the ground
From the visual in our head, x is time and y is height
Since d is the x, it is the time when the balloon hits the ground. And since
y =0, D is also the x intercept
D = x intercept, Time when balloon hits ground
Therefore,
A = y-intercept; Initial height
B = Time of max height
C=Max height
D = x intercept, Time when balloon hits ground
Hope this helps! =D
Algebra, please help ASAP
Answer:
D
Step-by-step explanation:
What is the slope of a line parallel to y = -5x + 2?
Answer:
-5
Step-by-step explanation:
Parallel lines have the same slope, so it would just be -5
please please help me!!
Answer:
C. f(x)=3x-4
Step-by-step explanation:
slope formula is (y2-y1)/(x2-x1)
(-1+4)/(-1-0)
3/1=3
The slope is going up and to the right so it is positive
Escribe la expresión para "la diferencia de 10 y x".
Answer:
10-x=d
(d = diferencia de 10 y x)
715,000___7.15 x 10^5
>
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=
Which set of ordered pairs does not represent a function?
A.(0, 0), (2, 2), (5,5)
B.(0, 1), (3, 4), (4,3)
C. (1, 2), (3, 2), (7, 2)
D.(2,3), (3,5), (3,7)
Answer:
C does not represent a function
Step-by-step explanation:
you find 2 for each y- coordinate. Whenever you have a reputation in number for y axis means its not a function
9x - 8> 40 +7
help !!!!!!!!
Answer: x>55/9
Step-by-step explanation: Divide both sides by 9
x-(55/9) > 0
Add 55/9 to both sides
x > 55/9
Inequality plot for
9.000 x - 55.000 > 0
If m∠1 = 123°, m∠5=123
Answer:
Ayo dood whats the ?
Step-by-step explanation:
If Syn spends 15 minutes running, he burns 200 calories. How long will it take Syn to burn 150 calories?
Answer:
11 minutes and 15 seconds (11.25 minutes/ 11 and 1/4)
Step-by-step explanation:
create the corresponding ratio by dividing 200 by 15, 200 calories per 15 minutes. Which equates to 40 calories every three minutes which means 40/3 or 13 1/3 calories every minute. You can verify this by multiplying 15 and 40/3 to get 200 again.
The last step is to divide the calories burned by the corresponding ratio (40/3)
150/(40/3) = 11.25
and .25 or 1/4 of 60 seconds(in a minute) is 15 since 60/4 = 15.
A factory used 72 kg of tomatoes to make 8 batches of pasta sauce. What quantity of tomatoes did the factory put in each batch?
Answer:
9 kg in each patch
Step-by-step explanation:
because total quantity of tomatoes is 72kg and factory going to make only 8 batches of pasta sauce.therefore 72÷8=9
Terrence drove to his sister's house, a distance of d miles. For the first 150 miles, he was able to drive relatively quickly, at 60 miles per hour. For the remaining distance, the road was rougher, and he had to slow his speed by 20 miles per hour. For each part of the journey, he was able to keep a steady speed. The time he spent driving at the faster speed was twice the time he spent driving at the slower speed.
Answer:
The total distance he drove is 350 miles, with an average speed of 46.67 miles/hour.
Step-by-step explanation:
Let [tex]t_1[/tex] and [tex]t_2[/tex] be the time of driving at a slower rate and at a faster rate respectively.
Given that the total distance = d
The speed for the first 150 miles = 60 miles/hour.
So, [tex]150=60\times t_1[/tex] [ as distance = speed x time]
[tex]\Rightarrow t_1=2.5[/tex] hours.
The remaining distance [tex]= d-150[/tex] miles.
Speed for the remaining distance = 60 miles/hour.
As the time he spent driving at the faster speed was twice the time he spent driving at the slower speed,
So, the time of driving at a faster rate, [tex]t_2 = 2t_1=2\times2.5=5[/tex] hours
So, [tex]d-150=60\times t_2[/tex] [ as distance = speed x time]
[tex]\Rightarrow d-150=20\times 5=100[/tex]
[tex]\Rightarrow d = 100+150=350[/tex] miles.
The average speed of the journey = (Total distance)/(Total time taken )
[tex]=d/(t_1+t_2)[/tex]
=350/(2.5+5)
=350/7.5
=46.67 miles/hour.
Hence, the total distance he drove is 350 miles, with an average speed of 46.67 miles/hour.
PLZ HELP!!! BRAINLIEST
Only if you show your work for both Questions
Question 1
Evaluate 4m/12 when m=6
Question 2
Whats the value of X to make this True???
X/-3 = 10/-15
Answer:
Step-by-step explanation:
1)when m = 6 => [tex]\frac{4m}{12}=\frac{4.6}{12} =\frac{24}{12}=2[/tex]
2) to make [tex]\frac{x}{-3} =\frac{10}{-15}[/tex] true
=> [tex]x = \frac{10.(-3)}{-15}=\frac{-30}{-15}=2[/tex]
The line has been partitioned into three angles. Is there a triangle with these three angle measures? The degrees are 39,42,99 Please help quick!!!!!!!!!!
Answer:
yes it is
Step-by-step explanation:
a triangles measures are supposed to add up to 180, since 39+42+99=180 then its a traingle
Brainliest?
Yes, there is a triangle with these three angles measuring 39°, 42°, and 99°.
Given,
The line has been partitioned into three angles.
Is there a triangle with these three angle measures?
The degrees are 39,42,99.
What is the sum of angles in a triangle?The sum of the angles in a triangle is 180 degrees.
The sum of all the angles in a straight angle is 180 degrees.
We have,
39°, 42°, and 99°.
The sum of the angles is:
= 39 + 42 + 99
= 180 °
The sum of the angles in a triangle is 180 degrees.
Thus,
Yes, there is a triangle with these three angles measuring 39°, 42°, and 99°.
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IF 48% of the students in a class are girls:
that percentage are boys?
Represent the percentage of boys as a fraction in it's lowest term
The percentage is 52% and the fraction is 13/25
plz help i need it asap
Each day Marisa runs the same distance. She ran 35 miles in the last 5 days. What is the unit rate?
Answer:
7 miles
Step-by-step explanation:
As, we will take unit rate as "x"
So, for one day = x distance
For 5 days = 5(x)
For 5 days she covered 35 miles
So therefore,
5(x) = 35 miles
X= 35/5
X=7 miles
For a day= 7 miles are covered
The food truck also offers catering services. The food truck makes different kinds of salads for parties and other events. Tammy looks at the paper menu to
decide what to buy
Macaroni Salad
$5 per pound
Potato Salad
$8 por pound
Tammy will order both macaroni and potato salad. She estimates that she will spend a total of 538 on 7 pounds of salad. She uses this system of equations to
show how many pounds of macaroni salad, m, and potato salad, p, she plans to buy.
5m +6p = 38
m+p=7
How many pounds of each salad does Tammy plan to buy?
Answer:
4 pounds of mac 3 pounds of potato
Step-by-step explanation:
5+6=11+5+6=22+5+6=33+5=38
NEED HELP IM BEGGING YOU PLEASE !!!!!!
Step-by-step explanation:
what help do you need????
Answer:
i believe the answer is 569/115
Is (5, 7) a solution to the equation y = x + 2?
Answer:
5 + 2 = 7.
Step-by-step explanation:
If you mean the other way around then no.
2 + 7 doesn't equal 5.
Answer:
Yes i agree- 5+2=7 if you mean it that way
Step-by-step explanation:
Write a fraction that is equivalent to 3/4
PLEASE I WILL GIVE YOU BRAINLEIST
Answer:
6 / 8
Step-by-step explanation:
Just multiply by 2
Answer:
3/4=6/8=9/12=12/16 and so on
Step-by-step explanation:
Just use the multiples of 3/4
Pls mark me brainliest!!!
(02.01)The figure shows Triangle ABC and some of its transformed images on a coordinate grid:
Which of the four triangles was formed by a translation of Triangle ABC?
A:1
B: 2
C: 3
D:4
f(x)=-x+9
That’s it I just need someone to help me with my math homework
After completing 9 levels of his favorite video game, Sam had found 6 coins. How many coins will Sam have found after completing for 24 levels?
Answer:
I'm pretty sure it is 16 coins.
Step-by-step explanation:
What I did was to divide 24 levels by 9 levels and I got, specifically, 2.66666666667. Then I multiplyed it by 6 and got 16. Hope it helps.
I NEED HELP ASAP!!PLZ!!!
Answer:
5 cals per min
Step-by-step explanation:
slope is 2/1
evaluate the given algebraic expression
Answer: 20
Step-by-step explanation: We have to put the given x and y values into the equation, so 2(7) + 2(3) is the same thing as 14+6, so the answer would be 20.
Answer:
20
Step-by-step explanation:
2x+2y
2(7)+2(3)
14+6
20
I need help plz I have a quiz and idk how to do these
Answer:
c
Step-by-step explanation:
You have to use pemdas and you should get c