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Fudgin [204]
3 years ago
14

Geometry Find a: Fill in the blank

Mathematics
1 answer:
Nataly_w [17]3 years ago
3 0

Answer:

a=15

Step-by-step explanation:

a^{2} =9*25\\a^{2} =225\\\\\sqrt{a} =\sqrt{222\\a=15

Hope it helps

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3 years ago
What is the y-value of the vertex of the function f(x)=-(x-3)(x+11)
lutik1710 [3]

so, this is a quadratic equation, meaning two solutions, and we have a factored form of it, meaning you can get the solutions by simply zeroing out the f(x).

\bf \stackrel{f(x)}{0}=-(x-3)(x+11)\implies 0=(x-3)(x+11)\implies x= \begin{cases} 3\\ -11 \end{cases} \\\\\\ \boxed{-11}\stackrel{\textit{\large 7 units}}{\rule[0.35em]{10em}{0.25pt}}-4\stackrel{\textit{\large 7 units}}{\rule[0.35em]{10em}{0.25pt}}\boxed{3}

so the zeros/solutions are at x = 3 and x = -11, now, bearing in mind the vertex will be half-way between those two, checking the number line, that midpoint will be at x = -4, so the vertex is right there, well, what's f(x) when x = -4?

\bf f(-4)=-(-4-3)(-4+11)\implies f(-4)=7(7)\implies f(-4)=49 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{vertex}{(-4~~,~~49)}~\hfill

7 0
3 years ago
How many feet are in 100meters
77julia77 [94]

Answer: 328 feet, 1 inch

Step-by-step explanation:

3.281 feet makes 1 meter

To solve the question, Multiply the value by 3.281:

100 meters = 100 x 3.281 feets

=328.1 feet

I hope this helps.

5 0
3 years ago
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