Answer:
x = 27/5
Step-by-step explanation:
Step 1: Write equation
-12 = -5(x - 3)
Step 2: Solve for <em>x</em>
- Distribute -5: -12 = -5x + 15
- Subtract 15 on both sides: -27 = -5x
- Divide both sides by -5: x = 27/5
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-12 = -5(27/5 - 3)
-12 = -5(12/5)
-12 = -12
The equation to find the nth term is:
an = a+(n-1)d
Where a is the first term in the sequence, which is -1 and d is the difference, which in this sequence the next term is found by subtracting 3 from the previous term, so d = -3 and n is the term you want to find.
The equation becomes:
an = -1 +(n-1)(-3)
a24 = -1 + (24-1)(-3) = -1 + (23(-3)) = -1-69 = -70
The line rises to the left so the slope is negative.
Slope = rise / run = (3 - 1) / (-4-3) = 2 / -7
Answer is -2/7 (A)
Answer:
7.48m (3s.f.)
Step-by-step explanation:
Let the missing side be x m.
Applying Pythagoras' Theorem,
x² +5²= 9²
x² +25= 81
x²= 81 -25 <em>(</em><em>-25</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
x²= 56
x= 7.48 (3 s.f.)
∴ The missing side is 7.48 m (3s.f.)
