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2 years ago

What are the center and radius of the circle whose equation is x2 + y2 + 4x = 5?

Mathematics

1 answer:

prisoha [69]2 years ago

5 0

The center is (-2,0)
The radius is -3

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The expression x−y equals 0.7 if x and y have certain values. Evaluate the following expressions with the same values of x and y

lisov135 [29]

Answer:

-0.7

Step-by-step explanation:

$x-y=0.7$

You can choose any digits you wish for $x$ and $y$ but the difference must be 0.7. I chose 1.0 and 0.3.

$x=1\\y=0.3\\x-y=0.7\\\\y-x=\\0.3-1=\\-0.7$

3 0

2 years ago

You have your heart set on buying a new car in 2 years. You invest $3,200 at 3.75% interest compounded continuously. How much mo

SCORPION-xisa [38]

Answer:

The available amount for the down payment of car and invested $3,200 at 3.75% interest compounded continuously is 3449.23$

Explanation:

We know final amount is given by

Where,

$A=P \times e^{r t}$

A = final amount

P = initial principal balance = $3200

r = interest rate = 3.74%

t = number of time periods elapsed = 2 years

Substituting the values in the formula

$r=\frac{3.75}{100}=0.0375$

A= $3200 \times e^{(0.0375 \times 2)}$

We know, e = 2.72

So we get A = 3449.23$ which is the available amount for the down payment of car .

7 0

2 years ago

At a video arcade action video games usually cost $12.50. This week they are on sale for 30% off. What is the sale price of the

Juliette [100K]

Answer: 8.75

Step-by-step explanation:

12.50 x 30% or .03

= 3.75

3.75 - 12.50

= 8.75

5 0

2 years ago

Read 2 more answers

. If α and β are the roots of

Lostsunrise [7]

Answer:

$18x^2+85x+18 = 0$

Step-by-step explanation:

Given Equation is

=> $2x^2+7x-9=0$

Comparing it with $ax^2+bx+c = 0$ , we get

=> a = 2, b = 7 and c = -9

So,

Sum of roots = α+β = $-\frac{b}{a}$

α+β = -7/2

Product of roots = αβ = c/a

αβ = -9/2

Now, Finding the equation whose roots are:

α/β ,β/α

Sum of Roots = $\frac{\alpha }{\beta } + \frac{\beta }{\alpha }$

Sum of Roots = $\frac{\alpha^2+\beta^2 }{\alpha \beta }$

Sum of Roots = $\frac{(\alpha+\beta )^2-2\alpha\beta }{\alpha\beta }$

Sum of roots = $(\frac{-7}{2} )^2-2(\frac{-9}{2} ) / \frac{-9}{2}$

Sum of roots = $\frac{49}{4} + 9 /\frac{-9}{2}$

Sum of Roots = $\frac{49+36}{4} / \frac{-9}{2}$

Sum of roots = $\frac{85}{4} * \frac{2}{-9}$

Sum of roots = S = $-\frac{85}{18}$

Product of Roots = $\frac{\alpha }{\beta } \frac{\beta }{\alpha }$

Product of Roots = P = 1

The Quadratic Equation is:

=> $x^2-Sx+P = 0$

=> $x^2 - (-\frac{85}{18} )x+1 = 0$

=> $x^2 + \frac{85}{18}x + 1 = 0$

=> $18x^2+85x+18 = 0$

This is the required quadratic equation.

5 0

2 years ago

Read 2 more answers

1000ml:300ml to its simplest form

Diano4ka-milaya [45]

<h2>HI MATE YOUR ANSWER SHOULD BE 10/3</h2>

5 0

1 year ago