Answer:
i) 20m/s
ii) 4s
iii) 144m
iv) 2 m/s
Step-by-step explanation:
Please see attached picture for full solution.
X^2-6x=13
(x-3)^2-9=13
(x-3)^2=22
(x-3)= +-sqrt22
x = sqrt22+3 or x = -sqrt22+3
7 out of 10 were carrying a backpack...and 3 out of 10 were not
that means 7/10 of the total students had backpacks and 3/10 of the total students did not
7/10 * 700 = 4900/10 = 490 had backpacks <==
3/10 * 700 = 2100/10 = 210 did not
Answer:
x=4 and x=3
Step-by-step explanation:
The first step to find all factors of 12
1,2,3,4,6,12
and their negative form
-1,-2,-3,-4,-6,-12
we must add two of these numbers to get -7
and the two numbers that add up to -7 are -3 and -4
we can simply plot them into the polynomial (x-3)(x-4)
since x-3=0
we add three to both sides to get x=3
and since x-4=0
add four to both sides
we get x=4
and now check out work which
we can use First out in last (foil) method
(x-3)(x-4)
first
x^2
out
-4x
in
-3x
last
12
now we simplify to get x^2-7x+12
so it x=4 x=3 works
It's an equilateral triangle. The angles have measure 60°.
Therefore we have the equations:
6x + 6 = 60 <em>subtract 6 from both sides</em>
6x = 54 <em>divide both sides by 6</em>
x = 9
5y + 10 = 60 <em>subtract 10 from both sides</em>
5y = 50 <em>divide both sides by 5</em>
y = 10
