MATHEMATICS COLLEGE

True or False: The height is always twice the length of tue base edge of any triangular pyramid.

Answers

Answer 1

Answer:

Answer:

true

Step-by-step explanation:

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Please help me on this
; >-2Find at x=16Please show solving

What's the answer? It's not a fraction.

Answers

it would be 10 I'm sure

3/2x = 15
x = 15 *2/3
x = 30/3
x =10

2344x24553 math question please answer

Answers

Answer:

57552232

Step-by-step explanation:

2. The path of a high diver is given by y = + (2x2 – 9x – 56), where y is the height of the diverabove the water and x is the horizontal distance from the diving board (in feet). How far from the
end of the diving board is the diver when he hits the water?

Answers

Answer:

The diver will be 8 feet from the end of the board when he hits the water.

Step-by-step explanation:

The diver hits the water when y = 0.

To find the distance, we have to find the values of x when y = 0.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^(2) + bx + c, a\neq0$ .

This polynomial has roots $x_(1), x_(2)$ such that $ax^(2) + bx + c = (x - x_(1))*(x - x_(2))$ , given by the following formulas:

$x_(1) = (-b + √(\bigtriangleup))/(2*a)$

$x_(2) = (-b - √(\bigtriangleup))/(2*a)$

$\bigtriangleup = b^(2) - 4ac$

In this problem, we have that:

$y = 2x^(2) - 9x - 56$

$2x^(2) - 9x - 56 = 0$

$a = 2, b = -9, c = -56$

Then

$\bigtriangleup = b^(2) - 4ac = (-9)^(2) - 4*2(-56) = 529$

$x_(1) = (-(-9) + √(529))/(2*2) = 8$

$x_(2) = (-(-9) - √(529))/(2*2) = -3.5$

It is a horizontal distance, so the answer is a positive value.

The diver will be 8 feet from the end of the board when he hits the water.

Which expression is the greatest common factor of the two addends in 18x + 30x2?

Answers

Answer:

The answer is 6x

Step-by-step explanation:

I think common factors are

18 = 1 2 3 6 9 18

30 = 1 2 3 10 15 30

So highest common factor is 3

18x + 30x2

3x (6 + 10x)

F(x)=3x-7 and g(x)=(1/3)x+7 are inverses of each other.

.True
.False

Answers

Answer:

False

Step-by-step explanation:

Sorry for the lat reply hopefully you still have that question ready. But basically in order for these equations to be considered inverses of one another it has to map its domain value and switch it to the range value and in this case it does not match the inverse when graphed.

Final answer:

The functions f(x) = 3x - 7 and g(x) = (1/3)x + 7 are inverses of each other.

Explanation:

Two functions are inverses of each other if the composition of the functions results in the identity function. To check if f(x) = 3x - 7 and g(x) = (1/3)x + 7 are inverses, we need to find their composition.

Let's substitute g(x) into f(x) and simplify: f(g(x)) = f((1/3)x + 7) = 3((1/3)x + 7) - 7 = x + 7 - 7 = x.

Since f(g(x)) = x, it means that f(x) and g(x) are inverses of each other, and therefore the statement is True.

Learn more about Inverses of Functions here:

brainly.com/question/38141084

#SPJ2

The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, HCF). The cost for using 14 HCF of water is $ 32.68 , and the cost for using 52 HCF is $ 95.38 . What is the cost for using 19 HCF of water?

Answers

Answer:

$40.93

Step-by-step explanation:

Given

Linear function of:

14 HCF = $32.68
52 HCF = $95.38

To find:

19 HCF = ?

Solution

Linear equation in slope-intercept form:

y(x) = mx +b

We have points of: (14, 32.68), (52, 95.38):

y(14) = 14 m + b
y(52) = 52 m +b

Using the points we can find the value of m and b:

m= (y2-y1)/(x2-x1)
m= (95.38 - 32.68)/(52 - 14)
m = 62.7/ 28
m= 1.65

Then finding b:

14*1.65 +b = 32.68
b= 32.68 - 23.1
b= 9.58

So the function is:

y = 1.65 x + 9.58

Then y(19) is found as:

y(19) = 1.65*19 + 9.58
y(19) = 40.93

Answer: Cost of 19 HCF of water is $40.93

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The scale factor for the reduction is . The length of What is the length of B? B = feet