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3 years ago

What is the equation, in standard form, of a circle with center (−5, −9) and radius 7?

Mathematics

1 answer:

dimulka [17.4K]3 years ago

7 0

Answer:

Solution given:

Centre(h,k)=(-5,-9)

radius (r)=7

we have

Equation of a circle is;

(x-h)²+(y-k)²=r²

Substituting value;

(x+5)²+(y+9)²=7²

<u>(x+5)²+(y-9)²=49 is a required equation of a circle</u>.

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Find the minimum value of <br> C=x+3y

Marysya12 [62]

Answer:

DNE

Step-by-step explanation:

If x and y may be any real number, there is no minimum value for C. It can approach negative infinity.

If C is a constant, and the domain of x is all real numbers, there is no minimum for y. It can approach negative infinity.

We're not sure what you want or what restrictions may exist. The given relation does not suggest any minimum. We'd have to say it Does Not Exist

5 0

3 years ago

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Please help with number 34 :) thank youu

kotykmax [81]

Proportion if im not mistaken
is over of percent over 100
14 over 168 and x over 100 . 14 times 100 divided b 168 i believe .

5 0

3 years ago

Select the correct answer.<br> Gio created a scatter plot and drew a line of best fit, as shown

MrRissso [65]

Answer:

y=3x+5 is the answer for this question

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3 years ago

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The projected value (in millions of dollars) of a large manufacturing company is modeled by the function V(t) - 230(1.12)', wher

Natali5045456 [20]

Answer:

The value of the company in 2018

Step-by-step explanation:

we know that

The equation of a exponential growth function is equal to

$V(t)=a(1+r)^t$

where

V(t) is the value of the company

t is the number of years after 2018

a is the initial value or y-intercept

r is the rate of change

we have

$a=230\\1+r=1.12\\r=1.12-1\\r=0.12\\r=12\%$

230 is the value of the company when the value of t is equal to zero

Remember that

t is the number of years since 2018

therefore

230 is the value of the company in 2018

3 0

3 years ago

TRIGONOMETRY - Given the complex numbers <img src="https://tex.z-dn.net/?f=z_%7B1%7D%20%3D20%20cis%20226" id="TexFormula1" title

Norma-Jean [14]

This is easily done after writing both complex numbers in exponential form:

$z_1=20\,\mathrm{cis}226^\circ=20e^{226^\circ i}$

$z_2=5\,\mathrm{cis}76^\circ=5e^{76^\circ i}$

Then

$\dfrac{z_1}{z_2}=\dfrac{20e^{226^\circ i}}{5e^{76^\circ i}}=4e^{(226-76)^\circ i}=4e^{150^\circ i}$

In trigonometric form, this is

$\dfrac{z_1}{z_2}=4\,\mathrm{cis}150^\circ=4(\cos150^\circ+i\sin150^\circ)=\boxed{-\dfrac{\sqrt3}2+\dfrac i2}$

8 0

3 years ago