Answer:
d=-4
Step-by-step explanation:
20 = –d + 16
Subtract 16 from each side
20-16 = –d + 16-16
4 = -d
Multiply each side by -1
-1 *4 = -1 * -d
-4 =d
Since they are right triangles use Pythagorean Theorem.
a^2 + b^2 = c^2 where c is the hypotenuse.
a. 12^2 + b^2 = 13^2
144 + b^2 = 169
subtract 144 from both sides
b^2 = 25
take the square root of both sides
t = 5 This is also know as a Pythagorean Triple 5-12-13
b. a^2 + 9^2 = 12^2
a^2 + 81 = 144
subtract 81 from both sides
a^2 = 63
take the square root of both sides
a = √63
a = √(9 * 7)
a = 3√7
c. 6^2 + 9^2 = c^2
36 + 81 = c^2
117 = c^2
take the square root of each side
c = √117
c = √(9*13)
x = 3√13
Answer:
After 4secs
Step-by-step explanation:
Given the function of the height expressed as;
h(t)=-16^2 + initial height
If initial height = 256, then;
h(t) = -16t^2 + 256t
The pebble will hot the ground at when h(t) = 0
Substitute
0 = -16t^2 + 256t
16t^2 = 256
t^2 = 256/16
t^2 = 16
t = 4
Hence the pebble will hit the ground after 4secs
Answer:

Step-by-step explanation:
Here two points are given to us and we need to find the distance between the two points . The given points are , <u>A(</u><u>0</u><u>,</u><u>0</u><u>)</u><u> </u>and <u>B(</u><u>8</u><u>,</u><u>2</u><u>)</u> . The distance between the two points can be found out using the<u> </u><u>Distance</u><u> Formula</u><u> </u>, which is ,
<em>Distance Formula:- </em>
Therefore on substituting the respective values ,we can find the Distance as ,
<u>Simpl</u><u>i</u><u>fy </u><u>the </u><u>brackets</u><u> </u><u>,</u>
Square the numbers inside the squareroot ,

Add the numbers inside the squareroot ,
Find the value of squareroot,
<u>Hence</u><u> the</u><u> </u><u>distance</u><u> between</u><u> the</u><u> two</u><u> points</u><u> </u><u>is</u><u> </u><u>8</u><u>.</u><u>2</u><u>4</u><u> </u><u>units </u><u>.</u>