Answer:
vertex = (- 7, - 87)
Step-by-step explanation:
given a parabola in standard form : ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= - 
p² + 14p - 38 is in standard form
with a = 1, b = 14, c = - 38, hence
= - 
= -7
substitute x = - 7 into the equation for corresponding value of y
y = (- 7)² + 14(- 7) - 38 = 49 - 98 - 38 - - 87
vertex = (- 7, - 87)
a) Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7
b) The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as 98 square feet
<h3>What is the perimeter?</h3>
The perimeter is defined as the sum of all the sides of the figure. Now we have The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.
The correct area =15(2x + 7).
= 30x + 105 square feet
The error in Shawn’s expression is
= 15(2x + 7)
= 30x + 7 square feet
Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7
The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as
30x + 105 square feet - 30x + 7 square feet
= 30x + 105 - (30x + 7)
= 30x - 30x + 105 - 7
= 98 square feet
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Use the Pythagorean theorem:
70^2 = 42^2 + width^2
4900 = 1764 + width ^2
Subtract 1764 from both sides
3136 = width^2
Take the square root of both sides
Width = 56 inches
Answer:
LA=72
TSA= 72+24root3 (about 113.57)
Explanation:
First you find the area of the circle, the formula is A=3.14(radius squared) so in this scenario it’s 3.14(4•4) 4 squared is 16, so now we have 3.14(16) which is 622.976, we round that to get our answer of 623
