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2 years ago

Determine if S could lie on the perpendicular bisector of QR with the given coordinates

Mathematics

1 answer:

Alex2 years ago

5 0

Step-by-step explanation:

The distance between two points, and is given by:

The endpoints are: Q(-5, -1), R(3, 7)

Point S is (4,-2).

The distance of S to Q is:

The distance of S to R is:

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Which equation has the solutions X=1 +-SQRT 5?

Vesna [10]

Answer:

D is correct. $x^2-2x-4=0$

Step-by-step explanation:

We are given the root of the equation

$x=1+\pm \sqrt{5}$

If we are given solution of the equation then find equation using formula.

If a and b are the solution of equation then equation would be (x-a)(x-b)=0

Here, $a=1+\sqrt{5} , b=1-\sqrt{5}$

Equation form would be $(x-1-\sqrt{5})(x-1+\sqrt{5})=0$

Now we simplify the above equation to get correct option.

$x^2-x+x\sqrt{5}-x+1-\sqrt{5}-x\sqrt{5}+\sqrt{5}-5=0$

$x^2-2x-4=0$

So, D is correct. $x^2-2x-4=0$

8 0

3 years ago

Read 2 more answers

Which equation is the inverse of y = 9x2 - 4?

m_a_m_a [10]

Answer:

The inverse will be:

$y' = \frac{\sqrt{x+4}}{3}$

Step-by-step explanation:

In order to find the inverse of the equation, we do a variable change, since we are finding the inverse, :

$f(x) = 9x^{2} - 4$

$y = 9x^{2} - 4$

$x = 9y' ^{2} - 4$

Now solve for y'.

First add 4 in both sides of the equation and change to the left y'.

$x + 4= 9y'^{2} - 4+4$

$9y'^{2}$ = x + 4

Second divide by 9

$9y'^{2}$ /9 = (x + 4)/9

$y'^{2}$ = (x + 4)/9

Now you will have to clear y, with the square root.

$[tex]y'^{\frac{2}{2}} = \sqrt{x + 4} / \sqrt{9}$ [/tex] =

Simplifying terms

$y' = \frac{\sqrt{x+4}}{3}$

$f^{-1}(x) = \frac{\sqrt{x+4}}{3}$

You can check the answer by doing the evaluation of the following equation:

(f o $f^{-1}$ ) (x)

substitute the equation for y' or inverse function $f^{-1}$

f( $\frac{\sqrt{x+4} }{3}$ )

Now substitue the value into f(x)

You will have

$= 9(\frac{\sqrt{x+4} }{3}} )^{2} - 4\\\\Solving\\\\9(\frac{{x+4} }{9}} ) - 4$

5 0

3 years ago

4. Owen and his family are discussing how to pay for his college education. The cost of tuition at the college that Owen wants t

MrMuchimi

Answer:

400

Step-by-step explanation:

12000 X 60%=7200-parents

12000-7200=4800-owen

4800/12=400 is what owen will save monthly

6 0

2 years ago

. Samantha is three times as old as Jason. The sum<br> of their ages is 56 years. How old is each?

8_murik_8 [283]

Step-by-step explanation:

let age of samantha be 3x and age of jason be x.(since samantha is three times as old as jason)

Now,

3x+x=56 (sum of their ages is 56)

or 4x=56

or x=56/4

or x=14

therefore age of samantha=3x=3×14=42

age of jason = x = 14

4 0

2 years ago

After a storm damages the community center, Shanika and her friends hold fundraising events to help pay for repairs. After the f

pantera1 [17]

Answer:

Step-by-step explanation:

The total they want to raise is $2,400 if that is what you're asking?

3 0

2 years ago