Answer:
6 units
Step-by-step explanation:
Given data
x1=4
y1=6
x2=5
y2=0
substitute in the formula for the distance between two points
d=√((x_2-x_1)²+(y_2-y_1)²)
d=√((5-4)²+(0-6)²)
d=√((1)²+(6)²)
d=√36)
d=6
Hence the distance is 6 units
Compare fractions<span> using a </span>benchmark fraction<span>. Compare two </span>fractions<span> with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a </span>benchmark fraction<span> such as 1/2. Recognize that comparisons are valid only when the two </span>fractions<span> refer to the same whole.</span>
Answer:
A. y + 1 = 7(x + 6)
Step-by-step explanation:
1) Point slope form is
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is a point on the line
2) Parallel lines have the same slope
in this case m = 7
-------------------------------
Plug in m = 7 and (x1, y1) = (-6, -1)
y + 1 = 7(x + 6)
which is answer A
Answer:
Step-by-step explanation:
Let income=X
Given he spend 1/5of his income on food.=X/5
He spend 1/3 of his income on car=X/3
Left with=286
So
x-(X/5+X/3)=286
x-8x/15=286
7x/15=286
X=286×15/7
X=612.85
His income is 612.85.
This is the concept of business mathematics, the profit will be given by:
profit=selling price-(buying price+overheads)
overheads=20/100*240=$48
thus the profits will be:
profit=240-(160+48)
=240-208
=$32
