MATHEMATICS HIGH SCHOOL

The function h =-16t^2 +1000 gives an objects height, h in feet, at t seconds When will the object be 1000 feet above the ground?
How many seconds did it take for the object to hit the ground?
How many seconds did it take for the object to reach 1000 feet

Answers

Answer 1
Answer:

Answer:

time = 0 seconds

Time to hit ground = 7.906 seconds

time = 0 seconds

Step-by-step explanation:

t = 0

-16(0)^2 +1000 = 1000

Time for ball to reach ground:

-16t^2 +1000 = 0

-16t^2 = -1000

t^2 = -1000/-16

t = squareRoot (-1000/-16) = 7.906 seconds

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Set G is the set of positive integers divisible by 4 and Set F is the set of perfectsquares. List the first 5 elements of set H, which contains numbers in G that arealso elements of F.
Which equation represents a graph with a vertex at (–3, 2)
Need help with this HW solution. I have tried many times but just can't seem to work it out properly.
9 x (2 + 7) = (? x 2) + (? x 7)​
Name the property used to make the conclusion. If x=y and y=4, then x=4.

For each function below, choose the correct description of its graph.

Answers

The nature of graph of each function is given below.

What is the general equation of a Parabola? What is the general equation of a straight line?

A parabola is a curve which forms by joining all the points which are at an equal distance from a fixed point (the focus) and a fixed straight line (the directrix). The general equation of a parabola is -

y = ax² + bx + c

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Given is a table with some functions.

[A] -

g(x) = - 4x - 5

m = - 4

Line with a negative slope.

[B] -

k(x) = 5

y = 5

A horizontal line parallel to [x] - axis

[C] -

f(x) = - 4x² + 2x + 3

A parabola opening down.

Therefore, the nature of graph of each function is given above.

To solve more questions on Parabolas, visit the link below-

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Answer:

1. line with a positive slope    

2. Vertical line

3. Porabola opening down

Step-by-step explanation:

4X + 5Y = 21
-4X + 8Y = -8
And
X + 5Y = 5
3X - 5Y = 3

Answers

Answer:

for the first one

Step-by-step explanation:

(x,y)=(4,1)

What would the x point be if the y is 0 in equation y=-x+4

Answers

Answer:

4

Step-by-step explanation:

y = -x + 4

if y = 0, then

0 = -x + 4

x = 4

A.
Tell if the sequence is arithmetic, geometric or
neither: 5, 30, 180, 1080

Answers

Answer:

It is geometric

Step-by-step explanation:

Because it is increasing as 6 is being multiplied.

A 26-foot ladder is placed against a house and reaches the 24-foot roof. If you want to find the distance between the base of the ladder and the base of the house, which of the following triangles could you use to model the problem?PLEASE HELP! IT'S FOR A QUIZ!!! D:

Answers

Option B is correct, the second triangle would be used to find the  distance between the base of the ladder and the base of the house

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that a 26-foot ladder is placed against a house and reaches the 24-foot roof.

We have to find the distance between the base of the ladder and the base of the house.

The second triangle would be used to find the  distance between the base of the ladder and the base of the house

Hence, option B is correct, the second triangle with opposite side 24 ft and hypotenuse 26 ft is used to find the distance between the base of the ladder and the base of the house

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Answer:

b or the second one

Step-by-step explanation:

(2√5 + 3√7)^2 show your work and justify each step.

Thank you!

Answers

(2 √(5) + 3 √(7) )^2 \n \n (2 √(5) ) ^2 + 2 * 2 √(5) * 3 √(7) + (3 √(7) ^2 \n \n 2^2 √(5) ^2 + 2 * 2 √(5) * 3 √(7) + (3 √(7) )^2 \n \n 4 √(5) ^2 + 2 * 2 √(5) * 3 √(7) + (3 √(7) )^2 \n \n 4 * 5 + 2 * 2 √(5) * 3 √(7) + (3 √(7) )^2 \n \n 4 * 5 + 2 * 2 √(5) * 3 √(7) + 3^2 √(7) ^2 \n \n 4 * 5 + 2 * 2 √(5) * 3 √(7) + 9 √(7) ^2\n \n 4 * 5 + 2 * 2 √(5) * 3 √(7) + 9 * 7 \n \n 20 + 2 * 2 √(5) * 3 √(7) + 9 * 7 \n \n 20 + 2 * 2 * 3 √(5 * 7) + 9 * 7 \n \n 20 + 2 * 2 * 3 √(35) + 9 * 7 \n \n 20 + 12 √(35) + 9 * 7 \n \n 20 + 12 √(35) + 63 \n \n 83 + 12 √(35) \n \n

The answer is: 83 + 12√35.
(2√(5) + 3√(7))²
(2√(5) + 3√(7))(2√(5) + 3√(7))
2√(5)(2√(5) + 3√(7)) + 3√(7)(2√(5) + 3√(7))
2√(5)(2√(5)) + 2√(5)(3√(7)) + 3√(7)(2√(5)) + 3√(7)(3√(7))
4√(25) + 6√(35) + 6√(35) + 9√(49)
4(5) + 12√(35) + 9(7)
20 + 12√(35) + 63
20 + 63 + 12√(35)
83 + 12√(35)
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