Answer:
y = m x + b equation of a straight line
m m' = -1 condition for perpendicular lines
If y = 4 x - 7 then m = 4 so m' = -.25
Y = -.25 X + A we need to find A
A = Y + .25 * 8 = 2 + 2 = 4
Y = -.25 X + 4
Check:
2 = -.25 * 8 + 4 = -2 + 4 = 2
Answer:
The consecutive negative integers are -3, -4 and -5.
Step-by-step explanation:
Let the three consecutive negative integers be k, (k-1) and (k -2)
Now, according to the question:
6(Largest Integer) = 2( Sum of smaller two Integers)
or, 6 (k) = 2( (k-1) + (k-2))
⇒ 6k = 2(2k -3)
or, 6k = 4k - 6
or, 6k - 4k = -6
or, 2k = -6 ⇒ k = -3
Hence, the largest negative integer = -3
The next two consecutive negative integer are (k-1) and (k-2) = (-3-1) and (-3-2)
= -4 and -5
Hence, the consecutive negative integers are -3, -4 and -5.
Answer:
y = -2x - 6
Step-by-step explanation:
Find the gradient: y difference/x difference
0 - (-6) / -3 - 0
6 / -3
= -2
y = mx + c
-6 = -2 × 0 + c
-6 = c
= C = -6
Answer:
£312
Step-by-step explanation:
Amount spent on 60 jumpers = £120
80% of the jumpers :
0.8 * 60 = 48 jumpers
Sales price for 80% = £8 each
Total = £8 * 48 = £384
The remain at an half price offer :
Half price = £8 / 2 = £4
£4 * (60 - 48)
£4 * 12 = £48
Total sales revenue = £(48 + 384) = £432
Total profit made :
Total sales revenue - purchase price
£432 - £120
= £312
