D=ABC for A solve for A

Image of question provided

inna [77]

Answer:

To solve this problem, we can use a system of equations.

We know the quadratic expression has the form

$f(t)=at^{2}+bt$

Using points (1,12) and (4,0), we can form the following system to find a and b.

$12=a+b$

$0=16a+4b$

We need to divide the second equation by -4 and sum both equations

$12=a+b\\0=-4a-b$

$12=-3a\\a=\frac{12}{-3}\\ a=-4$

Then, we use this value to find the other variable

$12=a+b\\12=-4+b\\b=12+4\\b=16$

<h3>Therefore, the quadratic function that models the situation is</h3>

$f(t)=-4t^{2} +16t$ or $f(t)=-4t(t-4)$

According to this expression, after 2 seconds, the height is 16 feet.

$f(2)=-4(2)(2-4)=-8(-2)=16$

7 0

3 years ago

What is 6x(13-6) =7 squared?

Novay_Z [31]

6 × (13 - 6) = 42, not 7, but 7² is 49 and 42² is 1,764.
I hope this helps!

4 0

3 years ago

Read 2 more answers

About 70% of Earth’s surface is covered by water. If the diameter of Earth is about 12,750 km, find the area not covered by wate

hichkok12 [17]

Earth diameter = 12,750 km
Earth radius = 6,375 km
Sphere Surface Area = 4 • π • r²
Sphere Surface Area = 4 * 3.14159 * 6375^2
Sphere Surface Area = 4 * 3.14159 * 40,640,625 
 Earth's Entire Surface Area = 510,704,724 square kilometers
Surface NOT covered by water = 510,704,724 * .3
Surface NOT covered by water = 153,211,417 square kilometers

4 0

2 years ago

REASONING IN ALGEBRA AND GEOMETRY Fill in the reason that justifies each step

pantera1 [17]

9514 1404 393

Answer:

1a. multiplication property of equality

1b. distributive property

1c. subtraction property of equality

1d. division property of equality

2a. distributive property

2b. addition property of equality

2c. division property of equality

Step-by-step explanation:

The properties that let you do the same thing to both sides of an equation are the properties of equality. These are usually given an additional qualifier according to the operation being performed: addition property ..., subtraction property ..., multiplication property ..., division property .... The property that lets you add or eliminate parentheses is the distributive property (of multiplication over addition).

To answer these questions, you need to compare each line to the previous to see what operation was performed. It will generally be use of one of the properties described above, or "simplification," in which like terms are combined.

1a. both sides are multiplied by 3: multiplication property of equality

1b. parentheses are eliminated: distributive property

1c. 18 is subtracted from both sides: subtraction property of equality

1d. both sides are divided by 2: division property of equality

__

2a. parentheses are eliminated: distributive property

2b. 24 is added to both sides: addition property of equality

2c. both sides are divided by 2: division property of equality

5 0

2 years ago

HHHHHEEEEELLLLLPPPPP!!!!!!!!!!!!!!!!!!!!!!!

Ira Lisetskai [31]

x/y where x and y are integers and y≠0 (rational)

2x where x is irrational (irrational)

(√2)/y where y is irrational (cannot be determined)

6 0

3 years ago