8
.
y = 3x - 2
m=
b=

Answer:

Step-by-step explanation:

Given:

The center of the circle = (-2,1).

Circle passes through the point (-5,3).

To find:

The equation of the circle.

Solution:

Radius is the distance between the center of the circle and any point on the circle. So, radius of the circle is the distance between the points (-2,1) and (-5,3).

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]r=\sqrt{(-5-(-2))^2+(3-1)^2}[/tex]

[tex]r=\sqrt{(-5+2)^2+(2)^2}[/tex]

[tex]r=\sqrt{(-3)^2+(2)^2}[/tex]

On further simplification, we get

[tex]r=\sqrt{9+4}[/tex]

[tex]r=\sqrt{13}[/tex]

The standard form of a circle is:

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

Where, (h,k) is the center of the circle and r is the radius of the circle.

Substitute h=-2, k=1 and [tex]r=\sqrt{13}[/tex].

[tex](x-(-2))^2+(y-1)^2=(\sqrt{13})^2[/tex]

[tex](x+2)^2+(y-1)^2=13[/tex]

Therefore, the equation of the circle is [tex](x+2)^2+(y-1)^2=13[/tex].

Answer:

Step-by-step explanation:

a= b^c     << === >>    logb(a) = c

                 a      b    c

Convert    45 = 9^√x    << === >>   log9 (45) = √x  

                                                1.7324867604 = √x    

                                                              3.0    =    x          squared both sides

I used a log calculator on the internet when a Gaggled log calculators

Answer:

-9x^2+13x+8

Step-by-step explanation:

Combine like terms-

(x^2 + 8x + 8) + (-10x^2 + 5x)

8x+5x = 13x

(x^2 + 8x + 8) + (-10x^2 + 5x)

-10x^2+x^2 = -9x^2

(x^2 + 8x + 8) + (-10x2 + 5x)

and 8 is just left over, so we put that all together and get...

-9x^2+13x+8

Good luck, have a great day!

Answer:Hmm okay its C because i had that before

Step-by-step explanation:

if its wrong then i dont know because my brother told me

Answer:

261

Step-by-step explanation:

450 (.58)= 261

check answer 261/450 =.58

Answer:

31000

Step-by-step explanation:

hope this helps :)

Answer:

31000

Step-by-step explanation:

Answer:

Step-by-step explanation:

We have the system:

y+x=3

2y+x=-5

the question asks us to solve by substitution..

Let's subtract y from both sides of the first equation

y+x=3

-y    -y

x=3-y

now, let's substitute 3-y as x into the second equation

2y+3-y=-5

combine like terms

y+3=-5

subtract 3 from both sides

y=-8

so the value of y is -8

now let's use that information to solve for x; we know that x is 3-y, so let's substitute the value of y to find x

x=3-y

x=3--8

x=11

the value of x is 11

as a point, your answer is (11,-8)

Hope this helps! :D

Answer:

y = 3/4x + 7

Step-by-step explanation:

Put it in point-slope form:

y - 4 = 3/4(x - -4)

y - 4 = 3/4(x + 4)

y - 4 =3/4x + 3

y = 3/4x + 7

Answer:

(2•5y to the 7th power)

Step-by-step explanation:

Step 1:  (2y to the 4th power • 5) • y to the 3rd power

Step 2:  (2•5y to the 4th power) • y to the 3rd power

Step 3:  3.1    y to the 4th power multiplied by y to the 3rd power = y to the  (4 + 3) power = y to the 7th power

Final answer:  (2•5y to the 7th power)

The expression [tex]2y^{4} * 5y^{3}[/tex]  is equal to 10[tex]y^{7}[/tex].

When two expressions with exponents are multiplied, it is called multiplying exponents. The multiplication of exponents involves certain rules depending upon the base and the power.

When the terms with the same base are multiplied, the powers are added, i.e., [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{{m+n}}[/tex]

According to the question

[tex]2y^{4} * 5y^{3}[/tex]

Now,

Using the multiplying exponent rule :

the terms with the same base are multiplied, the powers are added, i.e., [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{{m+n}}[/tex]

Therefore,

As, base y is common in both the terms

= 10[tex]y^{4+3}[/tex]

= 10[tex]y^{7}[/tex]

Hence, the expression [tex]2y^{4} * 5y^{3}[/tex]  is equal to 10[tex]y^{7}[/tex].

To know more about multiplying exponent here:

https://brainly.com/question/219134

#SPJ3

Answer:

192

Step-by-step explanation:

at 1/4 unit length, each side of one cubic unit would be 4.

so each cubic unit would consist of 4x4x4 = 64 of the 1/4 cubic units.

64 x 3 = 192

Answer:

your answer will be 192

Step-by-step explanation:

hope it helps

Answer:

yes

Step-by-step explanation:

Alcohol abuse has long-term effects on both your physical and mental health such as liver damage, cancer, cognitive impairment, memory loss, psychosis, anxiety, and depression.

Answer:

925000%

Step-by-step explanation:

Answer:

Ana:48

Lorna:24

Together they are a total of 72 yrs old

Answer:

92 minutes

Step-by-step explanation:

"Roughly" 17,150 miles per hour

(which is about 5 minutes per second)

this means that the space station orbits Earth once every 92 minutes.

hoped that helps you and God bless

Answer:

[tex] - x + 3 = {x}^{2} + 1[/tex]

[tex] {x}^{2} + x = 2[/tex]

Answer:

Step-by-step explanation:

1st y=-x+3

Let's solve for x.

y=−x+3

Step 1: Flip the equation.

−x+3=y

Step 2: Add -3 to both sides.

−x+3+−3=y+−3

−x=y−3

Step 3: Divide both sides by -1.

−x/−1= y−3/−1

Answer:

x=−y+3

2nd queastion: y=x^2+1

In the image

Hope this helps :)

PLS BRAINLIEST

Answer:

23.19°

Step-by-step explanation:

Given that,

The height of a drone = 12 yards

It has traveled a horizontal of 28 yards

We need to find the angle of depression from the drones current location down to its starting point. It can be calculated as :

[tex]\tan\theta=\dfrac{P}{B}\\\\\theta=\tan^{-1}(\dfrac{P}{B})\\\\=\tan^{-1}(\dfrac{12}{28})\\\\=23.19^{\circ}[/tex]

So, the angle of depression is equal to 23.19°.

Answer: $75,000

Step-by-step explanation:

The 28/36 rule is that the maximum that the person is to spend on household expenses is 28% of their monthly income. 36% of their monthly income is the maximum they can spend on debt and their household expenses.

This means that the maximum they are allowed to spend on debt is:

= 36 - 28

= 8%

If their maximum allowable debt is $500, this is 8% of their gross income. This Gross monthly income is therefore:

500 = x * 8%

= 500/ 8%

= $‭6,250‬

Their gross annual income is:

= 6,250 * 12

= $75,000

Answer:

$75,000

Step-by-step explanation:

e d g e

21 out of 28 cookies are chocolate chip

Answer:

21 cookies

Step-by-step explanation:

28 x 3/4 =

28 / 4 x 3 =

7 x 3 = 21

Hope that helps!

Answer:

1. No, Lin is incorrect. If you change both numbers to regular notation, you get that Panama has 4,000,000 residents, and Thailand has 70,000,000 residents. 4 million times 20 is 80 million, not 70 million.

2. 10^8. You need to put 10 to the 8th power because 1 × 10^7 is too little, so it is the next power to use that isn't too small

3. Label each increment 10^7, 2 × 10^7, 3 × 10^7... 9 × 10^7, 10^8.

4. Panama's point would be located 2/5 of the way between 0 and 10^7. Peru's point would be located 1/5 of the way between 3 × 10^7 and 4 × 10^7. Thailand's point would be located right on 7 × 10^7.

*There are files attached for both steps 3 and 4 if you need help visualizing.

Answer:

D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

Yaa!!! you are right option A is your answer

Answer:

C >:)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Due to the fact that you are surveying more people and that those people are differentiated there will be a more representative answer rather than a biased one.

Answer:

c

Step-by-step explanation:

you have a higher number therefore more results.

Answer:

t= 11.9

Step-by-step explanation:

Compounded Continuously:

A=Pe^{rt}

A=Pe  

rt

A=390\hspace{35px}P=290\hspace{35px}r=0.025

A=390P=290r=0.025

Given values

390=

390=

\,\,290e^{0.025t}

290e  

0.025t

Plug in

\frac{390}{290}=

290

390

​  

=

\,\,\frac{290e^{0.025t}}{290}

290

290e  

0.025t

​  

Divide by 290

1.3448276=

1.3448276=

\,\,e^{0.025t}

e  

0.025t

\ln\left(1.3448276\right)=

ln(1.3448276)=

\,\,\ln\left(e^{0.025t}\right)

ln(e  

0.025t

)

Take the natural log of both sides

\ln\left(1.3448276\right)=

ln(1.3448276)=

\,\,0.025t

0.025t

ln cancels the e

\frac{\ln\left(1.3448276\right)}{0.025}=

0.025

ln(1.3448276)

​  

=

\,\,\frac{0.025t}{0.025}

0.025

0.025t

​  

Divide by 0.025

11.8506326=

11.8506326=

\,\,t

t

t\approx

t≈

\,\,11.9

11.9

Round to the nearest tenth of a year

Answer:

P'(7,-3)

Q'(3,-1)

R'(7,-1)

Step-by-step explanation:

Switch signs of y-value when reflecting across x-axis.

Switch signs of x-value when reflecting across y-axis.

Hope this helped!

Answer:

It should be Ratio and Proportions .

Answer:

Step-by-step explanation:

a proportion.  Both ratios are the same thing. If you divide 15000 by 30 you get 500

If you divide 210 by 30, you get 7

It is always true that a proportion will have equal equal ratios on either side of the equal sign.

Answer is in the file below

tinyurl.com/wpazsebu

Your Welcome!!!!

The answer is in the picture!!!! :3