Step-by-step explanation:
So we go backwards, since we have x= 1/2 , 7
Now we have to foil to get the quadratic
We must simplify the terms
Our final result comes out to be
Let u =(3,4). What is 3u? (6,7) (6,12) (9,7) (9,12)
2 answers:
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Answer: y= 3x -
Step-by-step explanation:
Since we know the slope and a set of coordinates we can insert them into the formula y=mx+b and find what b is.
y=mx+b
-1/2=3(2)+b
-1/2=6+b
-1/2-6=6-6+b
-6 1/2=b
Therefore the equation is y=3x -
Answer:
2nd option
Step-by-step explanation:
given an exponential function in the form y = a
to find a and b use the coordinate points it passes through
using (0, 4 ) , then
4 = a [
= 1 ] , that is
a = 4 , so
y = 4
using (2, 100 )
100 = 4b² ( divide both sides by 4 )
25 = b² ( take the square root of both sides )
= b , that is
b = 5
then exponential function is
y = 4 .
Answer:
diagonal = = 12.8 inches (to the nearest tenth of an inch)
Step-by-step explanation:
As shown in the diagram attached to this solution:
Let the Length of the rectangular board = a
Let the width = b
Let the diagonal = d
where:
a = 10 inches
b = 8 inches
d = ?
Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:
(hypotenuse)² = (Adjacent)² + (Opposite)²
d² = 10² + 8²
d² = 100 + 64
d² = 164
∴ d = √(164)
d = 12.806 inches
d = 12.8 inches (to the nearest tenth of an inch)
<em>N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.</em>
