Answer:
p =6w+8=6*(9/3)+8=46 so w =25/3ft and l=44/ 3
Step-by-step explanation:
Answer:
a. 9.48
b. 195.3
Step-by-step explanation:
convert the corresponding per cent into a decimal (you can move the decimal place to the left by 2 or divide by 100) then just multiply it with the "of" number
Answer:
The solution of the linear system is:
and 
Step-by-step explanation:
The following linear equation is solved as follows:
After some algebraic manipulation:
And finally,
The solution of the linear system is:
and
Answer:
1/3
Step-by-step explanation:
When the equation of a line is in standard form:
ax +by = c
We can find its slope by solving for y:
by = -ax +c
y = -a/bx +c/b
The slope is the coefficient of x. The slope is -a/b.
__
A perpendicular line has a slope that is the negative reciprocal of this:
slope of perpendicular line = -1/(-a/b) = b/a
In the given equation, a=3, b=1, so the slope of the perpendicular line is ...
b/a = 1/3
Answer:
- T(n) = 3n² - 4
- -189 doesn't belong
Step-by-step explanation:
<u>Given sequence:</u>
<u>The first differences:</u>
<u>The second differences:</u>
<u>If the sequence is T(n) = an² + bn + c, we have:</u>
<u>Using the first and second differences work out the value of zero term:</u>
This gives us c = - 4
<u>Now we have:</u>
<u>The first term is T(1) = -1, substitute n = 1 and find the value of b:</u>
- 3(1²) + b*1 - 4 = - 1
- 3 + b - 4 = - 1
- b = 0
<u>The nth term is:</u>
<u>Now lets find if -189 belongs to this sequence:</u>
- - 189 = 3n² - 4
- 3n² = - 185
The left side is positive and the right side is negative so the answer is also negative
