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2 years ago

Can you please help me with this question

Mathematics

1 answer:

Naily [24]2 years ago

3 0

Answer:

Paid her: 24 because 14+6+4=24

Step-by-step explanation:

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Find the center and radius of the circle whose equation is x 2 + y 2 + 10x − 1

Margaret [11]

we conclude that the center of the circle is the point (-5, 0).

<h3>How to find the center of the circle equation?</h3>

The equation of a circle with a center (a, b) and a radius R is given by:

$(x - a)^2 + (y - b)^2 = R^2$

Here we are given the equation:

$x^2 + y^2 + 10x - 1 = 0$

Completing squares, we get:

$x^2 + 10x + y^2 = 1$

Now we can add and subtract 25 to get:

$x^2 + 10x + 25 - 25 + y^2 = 1\\\\(x + 5)^2 -25 + y^2 = 1\\\\(x + 5)^2 + (y - 0)^2 = 26$

Comparing that with the general circle equation, we conclude that the center of the circle is the point (-5, 0).

If you want to learn more about circles:

brainly.com/question/1559324

#SPJ1

3 0

2 years ago

Can I get help with this?

blagie [28]

Answer:

y-4=7(x-1)

Step-by-step explanation:

Hi there!

We are given the slope of the line (7) and the point (1,4) and we need to find the equation in point-slope form.

Point-slope form is given as y- $y_{1}$ =m(x- $x_{1}$ ) where m is the slope and ( $x_{1}$ , $y_{1}$ ) is a point

We have all of the needed information for the equation, but let's first label the values of everything in order to avoid confusion

m=7

$x_{1}$ =1

$y_{1}$ =4

now substitute into the formula:

y-4=7(x-1)

Hope this helps! :)

6 0

2 years ago

Please help with this math

gladu [14]

Answer:

$\boxed{\textsf{ The correct option is \textbf{ option C } . }}$

Step-by-step explanation:

Given that Sara bought a car for $ 23,000 . The interest of loan is 2 .5% . And we need to write a equation g(t) to represent the amount of money that she will owe after t years. Also the amount is compound annually . We know the formula of CI as ,

Compound Interest :-

$\qquad\boxed{\boxed{ \sf CI =Amount\bigg( 1 +\dfrac{Rate}{100}\bigg)^{(time)} }}$

Let us take that ,

$\sf\implies f(x)=g(t)$

Put on the respective values :-

$\sf\implies f(x) = Amount\bigg( 1 +\dfrac{Rate}{100}\bigg)^{(time)} \\\\\sf\implies f(x)= 23,000 \bigg( 1 + \dfrac{2.5}{100}\bigg)^t\\\\\sf\implies f(x)= 23,000 \bigg( 1+\dfrac{25}{1000}\bigg)^t \\\\\sf\implies \boxed{\pink{\frak{ f(x)= 23,000 ( 1+0.025)^t }}}$

5 0

2 years ago

Find the vertical and horizontal asympotote for (×-2) (×+3)/ (2×+2)

nekit [7.7K]

$\bf \cfrac{(x-2)(x+3)}{2x+2}\implies \cfrac{x^2+x-6}{2x+2}~~ \begin{array}{llll} \leftarrow \textit{2nd degree polynomial}\\ \leftarrow \textit{1st degree polynomial} \end{array} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{vertical asymptote}}{2x+2=0}\implies 2x=-2\implies x=-\cfrac{2}{2}\implies x=-1$

when the degree of the numerator is greater than the denominator's, then it has no horizontal asymptotes.

quick note:

when the degree of the numerator is 1 higher than the degree of the denominator, then it has an slant-asymptote, so this one has a slant-asymptote.

6 0

2 years ago

Please help!!! I really confused

Viktor [21]

Answer:

91in in feet 7.5ft

Step-by-step explanation:

5 0

2 years ago