Can h help with this?

Answer:

[tex](x-5)^2+(y-6)^2=5[/tex]

Step-by-step explanation:

Equation of the Circle

A circle centered at (h,k) and radius r can be written with the equation:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

We are given the center (5,k), thus:

[tex](x-5)^2+(y-k)^2=r^2[/tex]

We know the point (3,7) belongs to the circle. This means the distance between the center and this point is the radius.

Given two points (x1,y1) and (x2,y2), the distance between them satisfies:

[tex]d^2=(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Calculating the radius, we have:

[tex]r^2=(7-k)^2+(3-5)^2[/tex]

[tex]r^2=(7-k)^2+4\qquad\qquad [1][/tex]

Now we use the fact that the line y=2x+1 and the circle are tangent at (3,7). The radius and the line are perpendicular at that point. Two perpendicular lines with slopes m1 and m2 satisfy the condition:

[tex]m_1\cdot m_2=-1[/tex]

The line y=2x+1 has a slope of m1=2, thus the slope of the segment from (5,k) to (3,7) has a slope of -1/2:

The slope is calculated as:

[tex]\displaystyle \frac{7-k}{3-5}=-\frac{1}{2}[/tex]

Operating:

[tex]\displaystyle \frac{7-k}{-2}=-\frac{1}{2}[/tex]

Multiplying by -2

[tex]\displaystyle 7-k=1[/tex]

Solving:

k=6

From [1] the radius is:

[tex]r^2=(7-6)^2+4[/tex]

[tex]r^2=1+4[/tex]

[tex]r^2=5[/tex]

Finally, substituting into the equation of the circle:

[tex]\mathbf{(x-5)^2+(y-6)^2=5}[/tex]

The graph can be seen in the figure below.

Answer:

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

hi

Answer:

64%

Step-by-step explanation:

The first step is to calculate the increase

= 4100-2500

= 1600

Therefore the percentage increase can be calculated as follows

= increase/original number × 100

= 1600/2500 × 100

= 0.64 × 100

= 64%

Hence the percentage increase is 64%

Answer:

288

Step-by-step explanation:

1 foot= 12 inches

24x12=288

Answer:288

Step-by-step explanation:24x12=288 hope this helps

Answer:

18

Step-by-step explanation:

t = Number of trucks counted

c = Number of cars

Ratio of trucks to cars = [tex]\dfrac{t}{c}=\dfrac{3}{8}[/tex]

Total number of cars and truck = 66

[tex]t+c=66[/tex]

Divide the left and right side by the number of cars

[tex]\dfrac{t+c}{c}=\dfrac{66}{c}\\\Rightarrow \dfrac{t}{c}+1=\dfrac{66}{c}\\\Rightarrow \dfrac{3}{8}+1=\dfrac{66}{c}\\\Rightarrow \dfrac{11}{8}=\dfrac{66}{c}\\\Rightarrow c=66\times \dfrac{8}{11}\\\Rightarrow c=48[/tex]

Total number of cars is 48

so

[tex]t=66-c\\\Rightarrow t=66-48\\\Rightarrow t=18[/tex]

Total number of trucks counted is 18.

Answer:

1. 9461000000000

move the desimal in 9.461 12 places to the right to get:

9461000000000

2.

5.85 x 10^-3,

2.5 x 10^-1,

3.6 x 10^8,

8.5 x 10^8,

8.5 x 10^12

the smallest exponent is the smallest. Since 8.5 x 10^8 and 3.6 x 10^8 have the same exponent, go to the desimal

Use the distance formula to find base and height.

Answer:

48 degrees

Step-by-step explanation:

Answer:

-3 celcius

Step-by-step explanation:

Answer:

6 ℃

Step-by-step explanation:

by substacring u will see it

Answer:

2.7

Step-by-step explanation:

The 3 does not round up the 7, so it stays as 2.7

Answer:

2.7

Step-by-step explanation:

the tenths place is the first number after the decimal. When rounding numbers 5 and higher can increase the number next to it by 1. So 2.736 becomes 2.74 then becomes 2.7 as the 4 is not able to round the number since it is below 5.

Answer: 75%

Step-by-step explanation: So 15/20 simplified is 3/4 and 3 divided by 4 equals 0.75. To convert a decimal to a percentage, you multiply 0.75 by 100 to get 75%.

Answer:

i think that its D

Step-by-step explanation:

hopes this helps

Answer:

-13

Step-by-step explanation:

-13 since it's going down in price

Answer:

A. 81 miles

Step-by-step explanation:

Answer:

i have a feeling it is C because the lines intersect at (5,0)

Answer:

1 cup of flower makes 1/2 a batch of cookies

Step-by-step explanation:

2 divided by 2 is 1

1 divided by 2 is 1/2

Answer:

B. and D.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Here are the correct sums:

A. –2.0 + (–0.5) = -2.5

B. –4.5 + 6.5 = 2.0

C. 3.0 + (–0.5) = 2.5

D. 5.5 + (–2.5) = 3.0

Only D is correct.

Answer: D

Answer:

x=-3

Step-by-step explanation:

-5(x+1)=10

-5x-5=10

-5x= 15

x=-3

Answer:D.54

Step-by-step explanation: it takes 20 minutes in the car which is 1/3 of an hr so 42/3= 14 then that leaves 40 minutes left for the train which is 2/3 of 60 and 60/3=20 and 20x2= 40 so 40+14=54

Answer:

D. 54

Step-by-step explanation:

Give the guy above brainliest

Answer:

10 maybe sorry if wrong

Step-by-step explanation:

22-x x=20 so that should be 2 then u do 2x5 =10

Answer:

27/2

Step-by-step explanation:

Hope this helps! Also dont add comments to get gems like bruh ;-;

Answer: 27/2

Step-by-step explanation:

[tex]9\cdot \:1=x\frac{2}{3}[/tex]

[tex]x\frac{2}{3}=9\cdot \:1[/tex]

[tex]x\frac{2}{3}=9[/tex]

[tex]3x\frac{2}{3}=9\cdot \:3[/tex]

2x= 27

x= 27/2

Add Me Brainliest!

Answer:

A = h b/2

Step-by-step explanation:

Answer:

J =6,L=5,K=3

Step-by-step explanation:

this is kinda hard to do bur I'll try to do it.

Answer:

D:95 mm Hg

Step-by-step explanation:

Using the linear model, y=x+95, x represents the age and y represents the blood pressure.

For a newborn, x=0 this gives us

> y=0+95 = 95<

Answer: 1mm hg per year

Step-by-step explanation:

The answers 200 of u have an iPhone u can ask siri what the square root of whatever number is and it will tell u the correct answer

Answer:

C - 9

Step-by-step explanation:

pls give branliest

Answer:

The slope is -9/2

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=15-33/(-2)-(-6)

m=-18/4

m=-9/2

Answer:

f(-x)= -f(x) so, the given function [tex]f(x)= x^3-2x[/tex] is Odd

Step-by-step explanation:

We need to determine if the function [tex]f(x)= x^3-2x[/tex] is Even, Odd, or Neither.

Determining if a function f(x) is even or not we put x=-x and check

If f(-x)=f(x) the function is even

if f(-x)= -f(x) the function is odd

So, Putting x =-x and determining if the given function [tex]f(x)= x^3-2x[/tex] is Even, Odd, or Neither.

[tex]f(x)= x^3-2x\\Put \ x=-x\\f(-x)=(-x)^3-2(-x)\\f(-x)=-x^3+2x\\f(-x)=-(x^3-2x)\\f(-x)=-f(x)[/tex]

As f(-x)= -f(x) so, the given function [tex]f(x)= x^3-2x[/tex] is Odd

Answer: 10

Step-by-step explanation:

tbh its too long to explain i gtg now but plz just trust me