John made a small rectangular table for his workroom. If the sides of the table are 32 inches and 26 inches, what should the tab
1 answer:
Answer:
The table should measure diagonally about 41.23 inches.
Step-by-step explanation:
To find the diagonal of a rectangle we use the formula :
+
=
A and B both represent the side lengths of the rectangle, while C is the diagonal part. Knowing this formula, let's plug in the values for A and B and see what happens.
+
=
1024 + 676 =
1700 =
The square root of 1700 is (rounded to the hundreth's place) = 41.23
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The complete question in the attached figure
we know that
the equation of a parabola is
y=a(x-h)²+k
where
(h,k) is the vertex --------> (h,k)--------> (-1,2)
so
y=a(x+1)²+2
point (2,20)
for x=2
y=20
20=a(2+1)²+2--------> 20=a*9+2--------> 9*a=18---------> a=2
the equation of a parabola is
y=a(x+1)²+2-------> y=2(x+1)²+2
therefore
the answer is the option
<span>C) f(x) = 2(x + 1)2 + 2</span>
we know that
the equation of a parabola is
y=a(x-h)²+k
where
(h,k) is the vertex --------> (h,k)--------> (-1,2)
so
y=a(x+1)²+2
point (2,20)
for x=2
y=20
20=a(2+1)²+2--------> 20=a*9+2--------> 9*a=18---------> a=2
the equation of a parabola is
y=a(x+1)²+2-------> y=2(x+1)²+2
therefore
the answer is the option
<span>C) f(x) = 2(x + 1)2 + 2</span>