Answer:
The times in seconds it took 6 finalists to run a 100 meter dash are 12.5 12.4 12.4 12.3 12.6 and 12.4. Mr. Brown picks out the time that appears the most to find the <u>mode</u> he arranges the times in increasing order and picks the middle value to find the <u>median</u>
We use the formula a^2 - b^2 = ( a - b )( a + b );
We have a = 5m - 2 and b = 3m - 4;
<span>(5m-2)^2-(3m-4)^2 = (5m - 2 -3m + 4) x (5m-2 + 3m - 4) = (2m + 2)(8m - 6) = 2(m +1) x 2(4m - 3) = 4(m+1)(4m-3);
</span>
Area of square= s^2
12.25=s^2
take the sqrt(12.25) = 3.5
Perimeter of square = 4s
P=4(3.5)
P= 14 m
Answer:
Option b and d.
Step-by-step explanation:
Given equation : -5x + 4y > -7
Putting the values of x and y one by one in the options,
a) Putting x as 6 and y as 4.
=> -5(6) + 4(4) > -7
=> -30 + 16 > -7
=> -14 > -7
This doesn't satisfy the inequality, hence this couldn't be the ordered pair.
Similarly,
b) Putting x as 5 and y as 5.
=> -5(5) + 4(5) > -7
=> -25 + 20 > -7
=> -5 > -7
This satisfies the inequality, hence this is the ordered pair.
c) Putting x as 3 and y as 2.
=> -5(3) + 4(2) > -7
=> -15 + 8 > -7
=> -7 > -7
This doesn't satisfy the inequality, hence this couldn't be the ordered pair.
d) Putting x as -2 and y as -4.
=> -5(-2) + 4(-4) > -7
=> 10 - 16 > -7
=> -6 > -7
This satisfies the inequality, hence this is the ordered pair.
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>:</em><em>)</em>
Answer:
work is shown and pictured
