Which is the radius of a circle whose equation is (x-7)^2+(y-10)^2=4

Answer:

[tex]\frac{52}{7}[/tex] [tex]units[/tex]

Step-by-step explanation:

Add up all the sides.

(2a - 3) + (3a + 1) + 2a = 7a - 2

Lets set it equal to 22 since it is the perimeter

7a - 2 = 22

add 2 both sides

7a = 24

a = [tex]\frac{24}{7}[/tex]

From the image, you can tell that 2a -  3 is the shortest side and 3a + 1 is the longest side.

(3a + 1) - (2a - 3)

Substitute [tex]\frac{24}{7}[/tex] in for a.

You should be able to get [tex]\frac{52}{7}[/tex]  units.

[tex] \huge\fbox\orange{ANSWER} [/tex]

[tex] \huge\mathsf \pink{90°}[/tex]

Chord of Contact:-

Equation of the normal chord at any point (at², 2at) of the parabola y² = 4ax is

y + tx = 2at + at³ ....(i)

Look at the attached figure

But if M (x₁, y₁) be it's middle point its equation must be also,

T = S₁

:⟹ yy₁ - 2a (x + x₁) = y₁² - 4ax₁

:⟹ yy₁ - 2ax = y₁² - 2ax₁ .....(ii)

Therefore, from eqs. (i) and (ii) are identical, comparing, them

[tex] \sf \frac{1}{y_1} = \frac{t}{ - 2a} = \frac{2at + {at}^{3} }{ {y_1}^{2} - 2ax} \\ \\ \sf \: from \: first \: two \: relations \: ,t = - \frac{2a}{y_1} ....(iii)\\ \\ \sf \: from \: first \: two \: relations \: , \: \frac{t}{ - 2a} = \frac{2at + {at}^{3} }{{y_1}^{2} - 2ax_1} [/tex]

[tex] \implies \sf \: \frac{{y_1}^{2} - 2ax_1}{ - 2a} = 2a + {at}^{2} \: \\ \\ \implies \sf \: \frac{{y_1}^{2} - 2ax_1}{ - 2a} = 2a + a \bigg \lgroup \frac{ - 2a}{y_1} { \bigg \rgroup}^{2} \qquad\{ \: from \: eqs. \: (iii) \} \\ \\ \implies \sf \:\frac{{y_1}^{2} - 2ax_1}{ - 2a} = \frac{2a{y_1}^{2} + 4 {a}^{3} }{{y_1}^{2}} \\ \\ \implies \sf \: {y_1}^{4} - 2ax_1 {y_1}^{2} = - 4 {a}^{2} {y_1}^{2} - 8 {a}^{4} \\ \\ \implies \sf \: {y_1}^{4} - 2a(x_1 - 2a){y_1}^{2} + 8 {a}^{4} = 0[/tex]

[tex] \sf hence, \: the \: locus \: of \: middle \: point \: (x_1,y_1) \: is \: \\ \\ \qquad \qquad \: \sf \: {y_1}^{4} - 2a(x_1 - 2a){y_1}^{2} + 8 {a}^{4} = 0[/tex]

Answer:

it's the top right.

Step-by-step explanation:

hope this helps.

Answer:

2x+4=y

Step-by-step explanation:

Y equals 2*x+4/2x+4 so you figure out what x equals the multiply it by 2, then add 4 and the number you get is how much y is.

If you didnt understand I am very sorry. I am trying my best to explain.

Answer:

69p each

Step-by-step explanation:

well if each daisy is 61p you want to multiply that price by 6 to get total daisy price, which is £3.66 Then you take £8.49 from £3.66 to get the total price of the daffodils, which is £4.83. Then you divide the the price by the number of daffodils which is 69p. :))(

Answer:

It will experience a low tide because water is drawn away from the area between the high tides.

Explanation:

The oceans on earth bulge outwards towards the sun and moon due to gravitational pull. This building is highest when the moon and sun are in line (same plane). The coastline within this plane will experience high tides while those at the right angle will have the lowest tides.  

Answer:

[tex]9[/tex]

Step-by-step explanation:

[tex](-3)+5+(-5)+12=\\-3+5-5+12=\\5-5-3+12=\\-3+12=\\12-3=\\9[/tex]

Whenever you are doing a problem that says [tex]+(-n)[/tex] (n for number), it's the same as subtracting that number.

Upper left corner

==========================================================

Explanation:

There are 2 red out of 1+2+2 = 5 total. The fraction 2/5 represents the probability of picking red on the first selection.

Assuming the marble picked is not put back, we have 2 green out of 5-1 = 4 left over. So 2/4 = 1/2 is the probability of picking green as the second selection, based on the previous event in the first paragraph.

Multipling those fractions gets us (2/5)*(1/2) = (2*1)/(5*2) = 2/10 = 1/5 as the probability of picking red, then green with no replacement.

Answer:

7 Bracelets

Step-by-step explanation:

Okay, you have 21$ to spend, since bracelets cost 3$ each (not including tax), you can do 21/3 which will get you 7 bracelets. Hope this helps!

Answer:

7 bracelets

Step-by-step explanation:

21/3 = 7

Answer:

3rd option

Step-by-step explanation:

- 1 ( [tex]\frac{3x}{2y}[/tex] )

- 1 is multiplying the complere fraction , not just 1 part of it , so

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

Answer:

5^-2 or 1/25

Step-by-step explanation:

use index laws.

1. (A^m)^n = a^mn

5^4 x (5^-3)^2=
5^4 x 5^-6

2. A^m x A^n = A^m+n

5^4 x 5^-6

5^-2=
1/5²=
1/25

Answer:

[tex]5^{4}\times \left( 5^{-3}\right)^{2} =5^{-2}[/tex]

Step-by-step explanation:

[tex]5^{4}\times \left( 5^{-3}\right)^{2} =5^{4}\times 5^{-6}=5^{4-6}=5^{-2}[/tex]

We can write:

[tex]5^{-2}=\frac{1}{5^{2}} =\frac{1}{25}[/tex]

Answer:

40 and 16 for 8 servings

25 and 10 for 5 servings

15 and 6 for 3 servings

Step-by-step explanation:

to G H I would be 2x2x3.

Using the z-distribution, it is found that the lower bound of the 99% confidence interval is given by:

d. 68.39%.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.

The sample size and estimate are given by:

[tex]n = 2002, \pi = 0.71[/tex]

Hence, the lower bound is given by:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.71 - 2.575\sqrt{\frac{0.71(0.29)}{2002}} = 0.6839[/tex]

Hence the lower bound is of 68.39%, which means that option D is correct.

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1

Answer:

the answer is a for approval

Answer:

the equation of the line is 2y-x-1

pls give brainliest

Answer:

325

Step-by-step explanation:

I got it right before

Answer:

325

Step-by-step explanation:

Answer:

If he mows 3/20 in 1/6 of an hour he'll mow 18/20 or 9/10 in one hour

which means the ratios are equal

1/6:3/20 = 1:18/20 = 1:9/10

Therefore, Jerry will mow 90% of the lawn in one hour

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting your time and may GOd bless you

Answer:

Too much

Step-by-step explanation:

I did the math myself

Answer:

Hi mate I got you

Step-by-step explanation:

A positive discriminant indicates that the quadratic has two distinct real number solutions. A discriminant of zero indicates that the quadratic has a repeated real number solution.

A negative discriminant indicates that neither of the solutions are real numbers.

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

34

Step-by-step explanation:

 122

This is a lengthy question ill go through all the formulas

This is a right triangle which means u can use pythagorean theorem to find QP

formula :

[tex]a^{2} +b^{2} =c^{2}[/tex]

Note that [tex]c^{2}[/tex] is always the hypotenuse(the hyp is always opposite to ninety degrees)

so lets substitute

=> [tex]a^{2} +17^{2} =28^{2}[/tex]

=> [tex]a^{2} +289 =784[/tex]

subtract 289 both sides

[tex]= > a^{2}=495[/tex]

Now square root both

[tex]\sqrt{ a}^{2}=\sqrt{495}[/tex]

==> [tex]3\sqrt{55}[/tex] or 22.2 (answer)

But for the other three u have to use another formula any of sin, tan,cos while using For example angle Q and then use any and do inverse it will be very easy after u know all the formulas of Sin,cos, tan

SOHCAHTOA

^

Thats an acronym   for the formula

Sin= Opposite/ hyp

Cos= Adjustent/Hyp

Tan= Opposite/Adjustent

Answer: x=3

Step-by-step explanation: This is a porportion, meaning that the numbers are set equal to each other. Look at your denominators, 4 and 8? What do they have in common? In this case, they have a factor of 2 in common, and 8 is 4x2. So then we look at the numerators now. What times 2 equals to 6? Your answer then becomes 3.

Answer:

It's good. Because over those 3 months your grade increased.

Step-by-step explanation:

Answer: hii

Thats really good, That means you have improved a lot!

Step-by-step explanation:

If you got a f and then get a c later on it means you gotten better at the topic for the exam.

Hopefully this helps you!

- Matthew :)