Answer:
[tex](x-7)^2+(y-1)^2=100[/tex]
Step-by-step explanation:
1) Find the radius
We can do this by using the distance equation with the centre (7,1) and the given point (-1,-5):
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the points (7,1) and (-1,-5)
[tex]d=\sqrt{(-1-7)^2+(-5-1)^2}\\d=\sqrt{(-8)^2+(-6)^2}\\d=\sqrt{64+36}\\d=\sqrt{100}\\d=10[/tex]
Therefore, the radius of the circle is 10 units.
2) Plug the data into the equation of a circle
Equation of a circle (when not centred at the origin):
[tex](x-h)^2+(y-k)^2=r^2[/tex] where the centre is [tex](h,k)[/tex] and r is the radius
Plug in the centre (7,1) as (h,k)
[tex](x-7)^2+(y-1)^2=r^2[/tex]
Plug in the radius 10
[tex](x-7)^2+(y-1)^2=10^2\\(x-7)^2+(y-1)^2=100[/tex]
I hope this helps!
What’s the volume of this ? Guys please help I’ll mark you brainliest ! Be genuine !
Hi, check the comment. It is the answer. I wrote my own comment and rated myself 1.0 for no reason lol!! (Oh mah gawd I was joking this is not the answer, do NOT take this as your answer!
Answer:
256 m^3
Step-by-step explanation:
Area for 3d Trapezoid = 1/2x(a + b) * h
A = 1/2(10 + 22) * 16
A = 16 * 16
A = 256 m^3
Calculate (1/4)^4
A. 1/256
B. 1
C. 1/4
D. 1/16
Which diagrams show XY tangent to circle C? Check all that apply
Answer:
middle and right pictures are correct answer
Step-by-step explanation:
answer attached
The Figure 2 and 3 shows that XY tangent to circle C.
What is Tangent on circle?Tangent is a line that touches the circle and passes through at a touching point.
Need to prove that xy is a tangent line on the circle.
The circle of radius r and center z.
Sine the tangent of the circle and radius of the circle meet at 90 degrees.
Hence, a right-angle triangle is formed so we can apply the Pythagoras theorem.
Here,
xz = 7 cm
xy = 10 cm
Then
10² = 7² + b²
b² = 100 - 49
b² = 51
Hence, the first one doesn't show the XY tangent to circle C.
Similalry for the rest two figures,
When a segment is tangent to a circle, it is perpendicular to the radius.
Therefore, Figure 2 and 3 shows that XY tangent to circle C.
More about Tangent link is given below.
brainly.com/question/1503247
#SPJ2
1. Becky needs to earn an average of 85% on her Stats tests in order to maintain her current GPA. IF
she has gotten the following scores so far, what does she need to get on her next test to maintain at
least an 85% average?
85, 78, 92, 84, 93
Answer:
78%
Step-by-step explanation:
85 × 6 = 510
85 + 78 + 92 + 84 + 93 = 432
510 - 432 = 78
Check
85 + 78 + 92 + 84 + 93 + 78 = 510
510 ÷ 6 = 85
Robert works for Southern Consulting as a sales executive. He is paid a monthly salary of $3,350.00 plus a straight commission of 4.3% on all sales over $10,100.00. If he sells $15,300.00, what is his total gross pay for the month?
Answer:
$3,573.60
Step-by-step explanation:
.043 x (15300 - 10100) = 223.60
223.60 + 3350.00 = 3573.60
Correct answer please i need help
9514 1404 393
Answer:
-368.8 ft
Step-by-step explanation:
distance = velocity × time
Here, we'll use a negative for speed downward, and positive for speed upward.
elevation = (-4.5 ft/s)(98 s) +(1.9 ft/s)(38 s) = -441 ft +72.2 ft
elevation = -368.8 ft
Im currently in Algebra 2
This is supposed to be a substitution method problem.
2x-2y=2 and x-3y=6
In a large company, the proportion of employees who were promoted during the last year was 0.10. If 100
employees were chosen from this company randomly, what is the probability that at least 15 of them were
promoted during the last year?
O 0.5
O 0.4525
O 0.0475
O 0.9525
Answer:
0.0475
Step-by-step explanation:
We use the binomial approximation to the normal to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
In a large company, the proportion of employees who were promoted during the last year was 0.10.
This means that [tex]p = 0.1[/tex]
100 employees
This means that [tex]n = 100[/tex]
Mean and standard deviation:
[tex]\mu = E(X) = np = 100*0.1 = 10[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.1*0.9} = 3[/tex]
What is the probability that at least 15 of them were promoted during the last year?
This is [tex]P(X \geq 15)[/tex], which is 1 subtracted by the pvalue of Z when X = 15. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{15 - 10}{3}[/tex]
[tex]Z = 1.67[/tex]
[tex]Z = 1.67[/tex] has a pvalue of 0.9525
1 - 0.9525 = 0.0475.
0.0475 is the answer.
1
The graph of the linear function y = f(x)
passes through the points (1, 2) and
(5, -1). What is the rate of change of y
with respect to x?
4
A
с
3
4
3
3
B
mit
D
wie
4
Answer:
-3/4
Step-by-step explanation:
y2 - y1 divided by x2 - x1 so you would do 2 - (-1) divided by 1 - 5
simplified is
3 divided by -4 or just -3/4
W-6.67=2.27
I need help with this
twice a number x added to 10
2x + 10
x + 10
10x + 2
2x/2 + 10
Answer:
2x+10
Step-by-step explanation:
whatever your number is (x) you would multiply by 2 then add that to 10
Find the area of the complex figure.
Answer:
1,863
Step-by-step explanation:
PLZ HELP ASAP I WILL MARK BRANLIEST!!!
Answer:
Top left
Step-by-step explanation:
It’s the only one with a data point very far from the rest
Answer:
its diff for all of is but it deff right
Step-by-step explanation:
k12 right
A public health researcher wishes to study the dietary behavior of residents in Durham County. The researcher randomly contacts 35 county residents and collects data on their daily sugar intake and obtained a sample average of 37.4 grams of sugar per day and a sample standard deviation of 4.2 grams per day. Assume the mean daily sugar intake of all residents in the county is normally distributed. Construct a lower bound for a 95% confidence interval for the mean daily sugar intake of residents in Durham County using this data. (Give your answer to 3 decimal places)
Answer:
95% confidence interval for the mean daily sugar intake of residents in Durham County using this data
(35.9573, 38.8427)
Lower limit = 35.9573
Step-by-step explanation:
Step(i):-
Given that the size of the sample 'n' = 35
Given that the mean of sample x⁻ = 37.4gms
Given that the standard deviation of the sample 'S' = 4.2 gms
Level of significance = 0.05
Degrees of freedom
γ = n-1 = 35-1 = 34
t₀.₀₅ = 2.0322
Step(ii):-
95% confidence interval for the mean daily sugar intake of residents in Durham County using this data
[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} } )[/tex]
[tex](37.4 - 2.0322 \frac{4.2}{\sqrt{35} } , 37.4 + 2.0322 \frac{4.2}{\sqrt{35} } )[/tex]
(37.4 - 1.4427 , 37.4+1.4427)
(35.9573, 38.8427)
Final answer:-
Lower 95% confidence interval for the mean daily sugar intake of residents in Durham County using this data
Lower limit = 35.9573
The figure below shows ∠ABC formed by the hands of the clock at 4 o’clock. What is the measure of ∠ABC?
Answer:
120°
Step-by-step explanation:
30° x 4 = 120°
Full turn is 360
half is 180
and 180 degree = 6 parts
180÷6=30
Find the value of x.
6
14
3x-12
8
8
21
x = [?]
Answer:
Step-by-step explanation:
That line that separates the triangle vertically is an angle bisector. That creates a ratio between the resulting 2 triangles:
[tex]\frac{6}{3x-12} =\frac{14}{21}[/tex] and cross multiply:
14(3x - 12) = 21(6) and
42x - 168 = 126 and
42x = 294 and
x = 7
Which of the equations below could be the equation of this parabola?
10+
(0, 0)
10
Vertex
-10
O A. x = 3y2
B. y = 3x2
O C. X=-3y2
D. y = -3x2
Answer:
C. x=-3y^2
Step-by-step explanation:
The group of parabola opens left so, x=ay^2
parabola opens left so a in negative x=-3y^2
Hope it helps....
Find the length of the third side. If necessary, write in simplest radical form
HERE,
the [tex]\huge{\triangle}[/tex]is a right angle traingle.
length of one side=[tex]\bold{ 1 }[/tex]
length of another side =[tex]\bold{\sqrt{3} }[/tex]
so,
the length of third side=
[tex]\bold{\sqrt{(1)^{2} +({\sqrt{3}})^{2}} }[/tex] [tex]\bold{\sqrt{1+3} }[/tex] [tex]\bold{\sqrt{4} }[/tex] [tex]{\huge{\fcolorbox{aqua}{navy}{\fcolorbox{yellow}{blue}{\bf{\color{yellow}{2}}}}}}[/tex][tex]\therefore[/tex],the length third side of the traingle is 2.
3/4 divded by 6/4 - PLEASE HELP
Answer:
Exact form: 1/2
Decimal form: 0.5
Step-by-step explanation:
Answer:
1/2 is the answer
Step-by-step explanation:
3/4 * 4/6
1/2
find the area of the shade sector of the circle
Step-by-step explanation:
We need to find the area of the shaded region. We see that the region next to that has a central angle of 120°. Also we know that angle in a straight line is 180° . So the measure of central angle of that shaded region will be 180° - 120° = 60° . Now we can use the formula of area of sector to find out the area of the shaded region.
[tex]\tt\to Area = \dfrac{\Theta}{360^o}\times \pi r^2 \\\\\tt\to Area = \dfrac{60^o}{360^o}\times \pi (8cm)^2 \\\\\tt\to Area =\dfrac{\pi \times 64}{6}cm^2\\\\\to\boxed{\orange{\tt Area_{(Shaded)}= 10.66\pi cm^2}}[/tex]
The term-to-term rule of a sequence is
Add 8 and divide by 2
The first term of the sequence is -24
Work out the next two terms.
Answer: 8 x 24 divided by 2 and 8
Step-by-step explanation:
The half-life of Palladium-100 is 4 days. After 12 days a sample of Palladium-100 has been reduced to a mass of 7 mg.
Answer:
I think this is correct but im not sure..
Step-by-step explanation:
12 days is 3 half-lives ... so, 1/8 initial ... (1/2)^3 = 1/8
... initial is 8 mg
4 weeks is 7 half-lives ... 8 mg * (1/2)^7 = ?
Answer:
56 mgStep-by-step explanation:
Let the initial mass of sample is x mgWe have the following equation:
x* [tex](\frac{1}{2}) ^{12/4}[/tex]= 7x*[tex](\frac{1}{2}) ^{3}[/tex] = 7x*[tex](\frac{1}{8} )[/tex] = 7x = 7*8x = 56 mgHow to Factor trinomials
If m R = 29, what is m O? The figure is not drawn to scale
A. 29
B. 61
C. 151
D. 58
Select the correct answer from each drop-down menu. Graph the function . The vertex of the graph is at ___. The direction in which the graph opens is ___.
Answer:
The vertex of the graph is at (0,12)
The direction the graph opens is upward.
Step-by-step explanation:
Answer:
The vertex is (0,12)
The graph opens in a upward direction
Step-by-step explanation:
I got this correct on my test, hope this helped
Show that A and B are not similar matrices. A = 2 1 −4 9 , B = 3 −1 −5 7 Since A has characteristic polynomial p() = and B has characteristic polynomial p() = , the two matrices are not similar.
Answer:hey besties
Step-by-step explanation:
Pew pew
help me please Graph y = - l x-4 l
Answer:
y= -41
Slope= -1
Step-by-step explanation:
On the Y-axis put a point on -41. After you did that do down one unit and right one unit. Repeat this step below the Y-axis. Above the Y-axis you do the opposite. Go up one unit and left one unit. Repeat this step above the Y-axis. Hope you understood me :)
what is y−(−3y) help plzz
Find the values of the constants p and q if the lines px + 5y = 7 and
4x + qy = 5 meet at the point (2, -1). If the lines meet the y-axis at A and B
obtain the distance AB.
Answer:
2/5
Step-by-step explanation:
3. Determine the x-intercept and y-intercept for the equation containing the following ordered pairs:
(-10,-32) (-5, -24) (0, -16) (5,-8) (10,0)
Answer:
Step-by-step explanation:
X-intercepts are: (-10,-5,0,5,10)
Y-intercepts are: (-32,-24,-16,-8,0)