You can use the distance formula
Sqroot((x2-x1)^2 + (y2-y1)^2)
(2,-1) and (5,3), use given points
Sqroot((5-2)^2 + (3-(-1))^2)
Sqroot((3)^2 + (4^2)
Sqroot(9+16) = squareroot of 25
Squareroot of 25 = 5
Solution: D. 5 units
Answer:
50% (52.5-ish) of the flips can be expected to be heads.
Answer:1.3 or 4/3
Step-by-step explanation: 1 to the fifth power is 1 so 1 times 3 is 3. Then 19 - 15 is 4. So you have 4/3 which can stay as 4/3 or you can divide 4 by 3 and get 1.3
The 1st equation, is the only one. PROOF:
f(x) = x⁴ - 2x² + 36x -80
1) f(2) = 2⁴ - 2(2)² + 36(2) - 80 = 0, hence 2 is a zero value (or a root)
2) f(-4) = (-4)⁴ - 2(-4)² + 36(-4) - 80 = 0, hence - 4 is another root.
Since x= 2 and x= -4, f(x) is then divisible by (x-2)(x+4) or if you proceed to this multiplication you will find:
(x-2)(x+4) = x² + 2x -8, that means f(x) is divisible by (x<span>² + 2x -8)
IDivide </span> (x⁴ - 2x² + 36x -80) / (x<span>² + 2x -8) you will find:
</span>
(x⁴ - 2x² + 36x -80) / (x² + 2x -8) = x² -2x +10. Now let's find the zeros of
x² -2x +10; x' = [-b+√(b²-4ac)]/2a and x" = [-b-√(b<span>²-4ac)]/2a, after plugging in the corresponding values you will find that:
</span>x' = 1+3i and x" = 1 - 3i ==> x<span>² -2x +10 = (x-1+3i)(x-1-3i)
and at last f(x) = </span>x⁴ - 2x² + 36x -80 = (x-2)(x+4)(x-1+3i)(x-1-3i), with following zeros: -2 , -4 , 1-3i and 1+3i
Answer:
£100.98
Step-by-step explanation:
Step 1: find total price of tickets
Total price of tickets = 6 adults (£12) + 3 child (£6) = 6(12) + 3(6)
= 72 + 18
Total of tickets = £90
Step 2: Find the extra added 10% booking fee
Booking fee added = 10% of £90
= 10/100 × 90
= 0.1 × 90
Adding booking fee = £9
Step 3: Calculate the added 2% that would be added for using credit card
Cheryl would be paying £99 with her credit card (price of tickets + added booking fee = £90 + £9)
2% of £99 = 2/100 × 99
Added credit card charges = 0.02 × 99 = £1.98
Step 4: Calculate the total charge to be paid by Cheryl if she uses her credit card for the payment
Total charge = cost of tickets + added booking fee + credit card charges
= £90 + £9 + £1.98
= <em>£100.98</em>
