Answer:
11.25
Step-by-step explanation:
The equation for a parabola is:
y − k = 1/(4p) (x − h)²
where (h, k) is the vertex and p is the distance from the focus to the vertex.
1/(4p) = 1/45
4p = 45
p = 11.25
The distance from the vertex to the focus is 11.25 inches.
Area = Length x Width (A = L x W)
A = 264, W = 11, L = ?
Rewrite the equation to find L. In order to reverse multiplication, you must divide.
L = A / W
L = 264 / 11 = 24 yards
The answer is: [A]: "right [triangle]" .
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Explanation:
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Given: Side lengths:
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" <span>24 in., 32 in., and 40 in " ;
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Divide each side length by "8" ;
</span><span>
24 in. / 8 = 3 in. ;
32 in. / 8 = 4 in. ; and
40 in. / 8 = 5 in. .
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3 in . , 4, in, 5 in. ; is a "right triangle" ;
since: 3</span>² + 4² = 5² ;
→ 9 + 16 = 25 ;
according to the Pythagorean theorem: " a² + b² = c² " .
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Answer:
y=0, x=1
Step-by-step explanation:
6x-3y= -6 ...... equation 1
y =2x+2 ..... equation 2
subtract 2x from both sides
y-2x=2x-2x+2
y-2x=2
6x-3y= -6
y-2x=2
Rearrange
6x-3y= -6 ........x1
-2x +y=2............x3
6x-3y= -6
-6x +3y=2
0y=0
y=0
substitute y=0 in equation 1
6x-3xo= -6
6x= -6
x-6/6
x = -1
Answer:
$27.99
Step-by-step explanation:
34.99*.20 = 6.998
34.99-6.998 = 27.992
the answer rounded would be $27.99
Hope this helps