Answer:
A
Step-by-step explanation:
Equation for a circle of radius r, centered at (h,k):
(x-h)² + (y-k)² = r²
The coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.
What is a circle?A circle is a shape or a curve in a plane that has a fixed distance, called the radius, from a given point, called the center. A circle is also the set of all points that are equidistant from the center.
Given is an equation of a circle, we need to find coordinates of the center and the measure of the radius for a circle,
The equation of the circle =
(x - 3)² + (y - 7)² = 2
The standard equation for a circle of radius r, centered at (h,k):
(x-h)² + (y-k)² = r²
Comparing both we get,
(h, k) = (3, 7)
r² = 2
r = √2
Hence, the coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.
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A line includes the points (4,1) and (8, 2). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
[tex]y = \frac{1}{4} x[/tex]
Step-by-step explanation:
1) First, find the slope of the equation. Use the slope formula [tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the given points into the formula and solve:
[tex]m = \frac{(2)-(1)}{(8)-(4)} \\m = \frac{2-1}{8-4}\\m = \frac{1}{4}[/tex]
Thus, the slope is [tex]\frac{1}{4}[/tex].
2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation in point-slope form (from there we can convert it to slope-intercept). Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].
Since [tex]m[/tex] represents the slope, substitute [tex]\frac{1}{4}[/tex] for it. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, the end result will be the same) and substitute its x and y values into the formula as well. (I chose (4,1), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the answer.
[tex]y-(1) = \frac{1}{4} (x-4)\\y-1 = \frac{1}{4} x-1\\y = \frac{1}{4} x+0\\y=\frac{1}{4}x[/tex]
What is the value of x?
Answer:
x=14/3
Step-by-step explanation:
According to the corresponding angles theorem, when parallel lines are cut by a transversal, the corresponding angles are congruent. These 3 lines are all parallel, so 70 = 12x +14.
Subtract 14 from both sides
56 = 12x
Divide both sides by 12
14/3 = x
x=14/3
What is an equation of the line that passes through the point (-4,3) and is
perpendicular to the line 4x – 5y 20?
Answer:
y=-5x/4-2
Step-by-step explanation:
4x – 5y = 20
y = (4/5)x - 4
slope is 4/5
let new slope m:
(m)(4/5)=-1
m=-5/4
point slope form:
(y-3)/(x+4)=-5/4
y-3=-5x/4-5
y=-5x/4-2
Someone please help me answer this!!
Please help me on this
Answer:
Step-by-step explanation:
3) Find AB
B
30°
28
59
A) 24
B) 20
C)27
D) 25
7) Taylor has a bag of marbles that are all the same size. Of all the marbles
in the bag, there are 5 red, 6 pink, 7 blue, 3 green, and 4 yellow marbles.
Using a probability model for this experiment, predict how many times
Taylor would pick up a red marble if she choses a marble 300 times. *
I
Answer:
60 times
Step-by-step explanation:
There are a total of 5+6+7+3+4=25 marbles
Out of those 25 marbles, 5 are red.
Since there would be a 5/25=1/5 chance of selecting a red marble one time, then we can set up a proportion to find out how many red marbles Taylor will select out of 300 marbles.
1/5=x/300
(1)(300)=(5)(x)
300=5x
60=x
x=60
Therefore, using a probability model for this experiment, Taylor would pick up a red marble 60 times if she chooses a marble 300 times.
A circle has a circumference of 46n meters. What is the radius of the circle?
Answer:
r≈7.32
Step-by-step explanation:
You're welcome
A student is playing a number game and starts with number -15
Find x from the given triangle in simplest radical form. (4b)
Answer:
8 is its opposite,
Step-by-step explanation:
100 points need help for unit test please!!! don't answer if you don't know
question attached
Answer:
Solution given:
when
(-3,-2)
in equation;
7×-3-5×-2=28
-11≠28(not satisfied)
when
(-2,-3)
equation will be
7×-2+5×3=28
1≠28(not satisfied)
when
(0,4)
equation will be:
7×0-5×4=28
-20≠28
(not satisfied)
when
(4,0).equation will be
7×4-5×0=28
28=28(satisfied)
so
(4,0) is a required answer.
Convert 45ft from feet to yards
PLS.Answer
Answer:
15 yards
Step-by-step explanation:
3ft=1yard
45/3=15
A bank wonders if omitting the annual credit card fee for customers who charge at least $2400 in a year will increase the amount charged on its credit cards. The bank makes this offer to an SRS of 200 of its credit card customers. It then compares how much these customers charge this year with the amount that they charged last year. The mean increase in the sample is $332, and the standard deviation is $108.
Answer:
We reject the H0
Step-by-step explanation:
Given that:
Sample size, n = 200
x, = 332 ; s = 108
H0 : μ = 0
H1: μ > 0
The test statistic :
(x - μ) / s/sqrt(n)
332 / 108/sqrt(200)
332 / 7.6367532
Zstatistic = 43.47
Pvalue from Zstatistic at α = 0.05
P value is bet small < 0.00001
Pvalue < α
We reject the null
Conclusion: Amount charged on credit card under the no - fee plan increases
I need help and I don’t know how to check it
Answer:
y=2x+3
Step-by-step explanation:
Can someone please help
I think it might be the 3rd one because consecutive interior angles add up to 180 degrees
this was useless because a selected the exact answers and they where all wrong :(
Answer:
srry
Step-by-step explanation:
Maybe! I think people are all nice to help. Sometime is wrong but their is nice don't you think?
work out the area of this sem
Answer:
I’m not sure if this is free points or a question but the question is not clear
Step-by-step explanation:
Answer: Uhmm where is the problem?
What is the area of this composite figure?
5 cm
12 cm
3 cm
3 cm
2 cm
2 cm
Answer:
quit school its trash
Step-by-step explanation:
e
what is the value of p+9 when p=16
Answer:
25 :)
Step-by-step explanation:
well, if it's p+9 and you know that p=16 then you plug 16 in for p so the equation will be 16+9 and then you solve from there which is 25
Madeline sells five roses on the first day, seven roses on the second day, ten on the third day, fourteen on the fourth day. If Madeline continues her selling pattern, how many roses will she sell on the tenth day? How many will she sell on the fifteenth day?
Answer:
124, I believe
Step-by-step explanation:
each day you're adding on the amount of the day,
5,7,10,14,19,25,32,40,49,59,70,82,95,109,124
days below
(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)
5 on day 1
5+2=7 day 2
7+3=10 day 3
and so on
please help !! find the missing sides
1. What is 35% of 200?
Answer:
70 is 35% of 200
Step-by-step explanation:
Your welcome
Answer:
70 is 35 % of 200
Step-by-step explanation:
.35 × 200 = 70
5 The volume of the sphere below is approximately 904.78 cm". What is the diameter of the sphere?
Answer:
the diameter would be 12.
Alonso purchases a kayak for $2100. The sales tax is 7% of the cost of the kayak.
Find the total cost, including tax, of Alonso’s purchase.
Answer:
$2247
Step-by-step explanation:
2100+(2100*7/100)= 2100+147=2247
wirte an inequality to comepare the ratios 2/4 and 5/6
can someone help me with these answers I'll give brainly
1. -5
2. 6
3. -4
4. -1
5. 4
6. -4
Hi plz help me I am timed
Answer:
112.36 yd^2
Step-by-step explanation:
10.6 * 10.6 = 112.36
If ABCD is a parallelogram and angle A is 120 degrees, what is the measure of angle D?
Answer:
given angle A =120degree
angle D =60 degree
because angle A+angle B=180 degree
hope it is right answer for it!!
HELP FAST FAST FAST
IM GIVING BRAINLIEST!!!!
A trapezoid has an area of 13.5 inches. The bases are 3 inches and 6 inches. Determine the height of the trapezoid.
EXPLAIN THE PROCESS AND THE STEPS PLEASEEE
Answer:
h=3in
Step-by-step explanation:
A=a+b
2h
Solving forh
h=2A
a+b=2·13.5
3+6=3in
ILL GIVE BRAINLESTTTTTT
Answer:
Step-by-step explanation:
5/3 *2=10/6
10/6-6/6=4/6