All categories

3 years ago

Determine whether each conjecture is true or false given: n is a real number

1 answer:

8 0

For the conjecture to be true, the square of all real numbers must be positive or zero.
The square of all negative and positive numbers is positive, and the square of zero is zero, so the conjecture is true.

You might be interested in

1/5(x-2)=1/10(x+6) and 0.35(x+4)=0.25(x-6) please

Mekhanik [1.2K]

Answer:

1) x=10 2) x= -7.25

Step-by-step explanation:

Im not sure

3 0

3 years ago

Write an equation for an ellipse centered at the origin, which has foci at (\pm\sqrt{8},0)(± 8 ,0)(, plus minus, square root o

Alchen [17]

Answer:

The equation of ellipse centered at the origin

$\frac{x^2}{18} +\frac{y^2}{10} =1$

Step-by-step explanation:

given the foci of ellipse (±√8,0) and c0-vertices are (0,±√10)

The foci are (-C,0) and (C ,0)

Given data (±√8,0)

the focus has x-coordinates so the focus is lie on x- axis.

The major axis also lie on x-axis

The minor axis lies on y-axis so c0-vertices are (0,±√10)

given focus C = ae = √8

Given co-vertices ( minor axis) (0,±b) = (0,±√10)

b= √10

The relation between the focus and semi major axes and semi minor axes are $c^2=a^2-b^2$

$a^{2} = c^{2} +b^{2}$

$a^{2} = (\sqrt{8} )^{2} +(\sqrt{10} )^{2}$

$a^{2} =18$

$a=\sqrt{18}$

The equation of ellipse formula

$\frac{x^2}{a^2} +\frac{y^2}{b^2} =1$

we know that $a=\sqrt{18} and b=\sqrt{10}$

Final answer:-

The equation of ellipse centered at the origin

$\frac{x^2}{18} +\frac{y^2}{10} =1$

8 0

3 years ago

Read 2 more answers

Describe the graph of the function f(x) = 2x^3 +14x^2 +13x +6. Include the y-intercept, x-intercepts, and the shape of the graph

vovikov84 [41]

$f(x) = 2x^{3} + 14x^{2} + 13x + 6$

The graph is attached below.

In order to find the y-intercept, check the graph and see where it hits the y-axis, so in this case the y-intercept would be at (0,6).

To find the x-intercept, check the graph and see where it hits the x-axis, and here it hits at x = -6.

3 0

3 years ago

Rewrite the equation y – 4x = –9 in slope-intercept form.

Vera_Pavlovna [14]

The answer to your question is A. Y= -4x-9 because is you look at the pre written equation it shows that 4x is negative and that 9 is negative too. Also, if you rewrite an equation you have to isolate Y. Therefore A is the correct answer

3 0

3 years ago

Read 2 more answers

How many different arrangements can be made with the letter of the word 'M O R O C C O'?

valentinak56 [21]

Since the order matters, it's a permutation of 7 letters, but mind you in
MOROCCO. you have 3 O's and 2 C's, Hence the arrangements are:

⁷P₇ /(3!2!) = 7!/(3!2!) = 5040/(3!2!) = 420 arrangements

8 0

3 years ago