MATHEMATICS HIGH SCHOOL

Which set of lengths might be used to represent the sides of a right triangle? A. (6, 7, 10)

B. (7, 15, 17)

C. (9, 12, 16)

D. (7, 24, 25)

Answers

Answer 1

Answer:

The set of side lengths (7, 15, 17) represents a right angled triangle

For the given set of side lengths to represent a right angled triangle, the

Pythagoras relation should be satisfied by the side lengths of the triangle.

We can write the given relation as -

h² = b² + p²

Consider the side length pairs as -

(7, 15, 17)

We can arrange the sides as -

17² = 15² + 7²

289 = 225 + 49

289 = 289

The set of side lengths (7, 15, 17) represents a right angled triangle.

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Answer 2

Answer:

Answer:

Step-by-step explanation:

What is Fraction?

A fraction is a way to describe a part of a whole. such as the fraction $(1)/(4)$ can be described as 0.25.

Given to us

Mike made 5/6 of his free throw attempts
Lisa made 7/9 of her free throw attempts

LCM of Denominator

To bring the denominator, we need to take the LCM of the denominator, therefore,

$(5)/(6),\ (7)/(9)$

we know that the LCM of 6 and 9 is 18. therefore,

$=((5* 3))/((6* 3)),\ ((7* 2))/((9* 2))\n\n=(15)/(18),\ (14)/(18)$

Thus,

Mike made $(15)/(18)$ of his free throw attempts
Lisa made $(14)/(18)$ of her free throw attempts

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Answer:

B and C

Step-by-step explanation:

First you have to find a common denominator which would be 18. Then you need to multiply the denominators to get to 18. 6x3 and 9x2. Now whatever you do to the bottom you have to do to the top. So you would mutiply 5x3 and 7x2. The fractions you are left with are, 14/18 and 15/18.

Which graph is an example of a cubic function?On a coordinate plane, a parabola is shown.
On a coordinate plane, a curve approaches x = negative 2 in quadrant 3, increases to a put of inflection at (0, 1), and then increases again and approaches x = 2.
On a coordinate plane, a straight line has a positive slope.
On a coordinate plane, a function has a line with positive slope that intersects with a line with a negative slope.

Answers

The graph that is an example of a cubic function is the one that approaches x = negative 2 in quadrant 3, increases to a point of inflection at (0, 1), and then increases again and approaches x = 2.

A polynomial function is what?

A polynomial function is a mathematical function that may be written as a sum of terms, where each term is made up of a variable raised to a non-negative integer power multiplied by a constant coefficient. The degree of the polynomial is the largest power of the variable in the function.

The graph that is an example of a cubic function is the one that approaches x = negative 2 in quadrant 3, increases to a point of inflection at (0, 1), and then increases again and approaches x = 2. This is because a cubic function is a polynomial function of degree three

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how to draw an arrow diagram that relates a number (0to9) to the number of lit segments required to display that number?

Answers

The numbers on electronic displays ... like on alarm clocks or digital
watches ... are made out of what's called "7-segment" displays.

For each digit, there's a set of 7 tiny LED's that are laid out
something like this: _
/_/
/_/

Then, all of the digits from 0 to 9 can be made just by lighting up
some of the segments, and keeping the rest turned off.

This question is asking for a table that shows how many segments
are lit up to make each digit ... not which ones, but just how many.
This is something the design engineers want to know, so that they
can be sure to provide enough power inside the clock to light up
all the digits.

Look at the picture I attached. It shows all the digits, 0 to 9, the way
they look in 7-segment displays, and on the right side, the number of
segments that are lit up to make each digit.

I think this is something like what the question is asking for.

The height of a ball when it is thrown into the air is shown by equation h = −16t2 + 20t + 3, where h is the height of the ball and t is time in seconds since the ball was released.A or B?
A.
linear model
B.
nonlinear model

Answers

From

h = -16t² + 20t + 3

This is a quadratic equation, it is degree 2 equation.

A degree 1 equation is a linear equation or model.

Any degree greater than 1, as 2 is a non linear.

So h = -16t² + 20t + 3, is a non linear model.

It is B.

I hope this helped.

Hello,

a quadratic equation is not a linear model.

Solve x/ x-2 + x+2/ x >2

Answers

$(x)/(x - 2) + (x + 2)/(x) \ \textgreater \ 2$
$(x(x))/(x(x - 2)) + ((x - 2)(x + 2))/(x(x - 2)) \ \textgreater \ 2$
$(x^(2))/(x(x - 2)) + (x^(2) - 4)/(x(x - 2)) \ \textgreater \ 2$
$(x^(2) + x^(2) - 4)/(x(x - 2)) \ \textgreater \ 2$
$(2x^(2) - 4)/(x(x - 2)) \ \textgreater \ 2$
$2x(x - 2) \ \textgreater \ 2x^(2) - 4$
$2x^(2) - 4x \ \textgreater \ 2x^(2) - 4$
$-4x \ \textgreater \ 4$
$x \ \textgreater \ -1$

Consider the exponential function f(x) = 1/5(15x). What is the value of the growth factor of the function?a.1/5
b.1/3
c.5
d.15