Answer:
equation y =7/4x+1
slope = 7/4
Step-by-step explanation:
We have two points so we can find the slope
m =(y2-y1)/ (x2-x1)
= (4--3)/(2--2)
= (4+3) / (2+2)
= 7/4
We know the slope and the y intercept
We can write the equation using y = mx+b where m is the slope and b is the y intercept
y= 7/4x +1
We put at dot at (0,1) and then go up 7 and to the right 4 . We put another dot
Connect the dots and we have our line.
We could also put dots at (-2,-3) and (2,4) and connect the dots.
Answer:
2 cows and 5 chickens.
Step-by-step explanation:
NOTE: This will be solved using simultaneous equations.
Let x = cows and y = chickens
1. form two equations
4x + 2y = 18 ... (1)
x + y = 7 .... (2)
2. make y (or x) the subject of one equation
x + y = 7
y = 7 - x ... (3)
3. Substitute (3) into (1)
4x + 2( 7 - x) = 18
4. solve for x
4x + 14 - 2x = 18
2x = 4
x = 2
5. Now substitute x value into equation (2)
x + y = 7
2 + y = 7
y = 5
∴ cows (x) = 2
chickens (y) = 5
We know that
surface area of sphere=4*pi*r²
r=√[surface area/(4*pi)]
for surface area=27648
r=√[27648/(4*3)]-------> r=√2304-----> r=48 units
volume of a sphere=(4/3)*pi*r³-----> (4/3)*3*48³---> 442638 units³
the answer is
<span>442368</span>
Answer:
there were 17 players left on the pitch
Step-by-step explanation:
17x24=408
648-408=240
Answer:
see explanation
Step-by-step explanation:
(a)
A recursive formula allows any term in the sequence to be found by adding the common difference d to the previous term.
Here d = - 4 , then recursive formula is
=
- 4 with a₁ = 2
(b)
The explicit formula for an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = - 4, thus
= 2 - 4(n - 1) = 2 - 4n + 4 = 6 - 4n ← explicit formula
(c)
Using the recursive formula
a₁ = 2
a₂ = 2 - 4 = - 2
a₃ = - 2 - 4 = - 6
Using the explicit formula
a₅ = 6 - 4(5) = 6 - 20 = - 14
a₁₀ = 6 - 4(10) = 6 - 40 = - 34
a₁₀₀ = 6 - 4(100) = 6 - 400 = - 394