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3 years ago

A pie can be cut into more than seven pieces by making four diameter cuts.

2 answers:

8 0

True
a diameter cut goes through the middle of the pie

if we do one cut, we get 2 pices
if we do another one, perpendicular to first, we get 4 pieces
another cut (3rd), with a line that is an angle bisector of the other 2 lines, we get 6 pieces
4th, with a line perpendicular to the 3rd, we get 8 pices

8>7 so true

iVinArrow [24]3 years ago

3 0

I'm pretty sure it's true

You might be interested in

Slope is -2/3, and (-6,-5) is on the line

UNO [17]

Answer:

You can use the point intercept equation that uses the slope and a coordinate pair to get the equation

Step-by-step explanation:

in photo

8 0

2 years ago

I really need help.... i am doing k12 online and i have SO much overdue and i need help, I MIGHT FAIL 6th GRADE!! i know thats n

Nutka1998 [239]

Answer:

Table 1(red)

Step-by-step explanation:

A proportional relationship will have a constant of proportionality between y and x all through the data given.

Constant of proportionality, k = y/x

Table 1 (red):

y/x = 5/1 = 10/2 = 20/4 = 5

k = 5 all through, therefore, this table show a proportional relationship between x and y

Table 2 (blue):

y/x = 1/6 ≠2/9 ≠ 4/15

This doesn't have a constant of proportionality, k, that is the same all through in the given table of values. Therefore, it doesn't show any proportional relationship between x and y

4 0

2 years ago

Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not more than 3, whereas quadratic f

vladimir2022 [97]

Answer:

Yes, I agree

Step-by-step explanation:

For the cubic function

A cubic function is represented as:

$f(x)=ax^3+bx^2+cx+d$

A cubic function may have 1, 2 or 3 x intercepts. This is shown below

For 3 x intercepts

$y = x^3 - x$

Equate y to 0

$x^3 - x = 0$

Expand

$x(x^2 - 1) = 0$

Express $x^2 - 1$ as difference of two squares

$x(x - 1)(x +1 ) = 0$

x = 0 or 1 or -1

For 2 x intercepts

$y = x^3 - x$

$y =(x-5)^2)(x+7)$

Equate y to 0

$(x-5)^2(x+7) = 0$

Expand

$(x-5)(x-5)(x+7) = 0$

x= 5 or x = -7

For 1 x intercept

$y = x^3$

Equate y to 0

$x^3 = 0$

Take cube roots of both sides

$x = 0$

It has been shown above that a cubic function may have 1, 2 or 3.

So, I agree to the statement

For the quadratic function

A quadratic function will not have any x intercept when the function can not be factorized;

E.g.

$y = x^2 + x + 17$

The above function has no x intercept.

A quadratic function will have at least 1 x intercept when the function can be factorized;

E.g.

$y = x^2- 6x + 9$

Equate y to 0

$x^2- 6x + 9 = 0$

Expand

$x^2 - 3x - 3x + 9 = 0$

$(x - 3)(x-3) = 0$

$x = 3$

We've shown that a quadratic may have no x intercept, and it may also have x intercept(s)

Hence, I agree to both statement

3 0

2 years ago

A jar contains 8 marbles numbered 1 through 8. an experiment consists of randomly selecting a marble from the jar, observing the

zepelin [54]

There are 8 possible outcomes for a marble being drawn and numbered.
{1,2,3,4,5,6,7,8}
There are 4 possible outcomes for a card being selected from a standard deck.
{ hearts, diamonds, clubs, spades}
So the number of outcomes in the sample space would be 8 x 4 = 32.

In the event "an even number is drawn", there are only 4 possible outcomes for a marble being drawn, {2,4,6,8}, whereas there are still 4 possible outcomes for a suit. So the number of outcomes in the event is 4 x 4 = 16.

In the event "a number more than 2 is drawn and a red card is drawn", there are 6 possible outcomes for the marble being drawn, {3,4,5,6,7,8}, whereas there are only two possible suits for a card being selected as red, {heart, diamond}. So the number of outcomes in this event is 6 x 2 = 12.

In the event "a number less than 3 is drawn or a club is not drawn", the number drawn could be 1 or 2 whereas a spade/heart/diamond could be selected. So the number of outcomes is 2 x 3 = 6.

3 0

2 years ago

Does anyone know the answer?

gulaghasi [49]

Answer:

A. g(x) = 42 - 0.6x

Step-by-step explanation:

7 0

3 years ago