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3 years ago

Factorise x2 + 5x - 84

Mathematics

1 answer:

lana [24]3 years ago

7 0

(x - 7)(x + 12)

Answer:

${x}^{2} + 5x - 84 \\ {x}^{2} + 12x - 7x - 84 \\ x(x + 12) - 7(x + 12) \\ (x - 7)(x + 12)$

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The answer is 62

Step-by-step explanation:

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The total surface are of a can is 296.73in ^2. if the radius of the can is 4.5 inches what is the height of the can

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3 years ago

Suppose a punter kicks a football so that the upward component of its velocity is 80 feet per second. If the ball is 3 feet off

Alexxandr [17]

So hmm check the picture below

$\bf \qquad \textit{initial velocity}\\\\ h = -16t^2+v_ot+h_o \qquad \text{in feet}\\
\\
v_o=\textit{initial velocity of the object}\\
h_o=\textit{initial height of the object}\\
h=\textit{height of the object at "t" seconds}\\\\
-----------------------------\\\\
h(t)=3+80t-16t^2\iff h(t)=-16t^2+80t+3$

a)

well, clearly is 80 ft/s

b)

when t = 1? well 80(1)

c)

in the picture, x-axis is the time and y-axis is the height
so, it reaches its maximum at the vertex, after "x" seconds

$\bf \begin{array}{lcccll}
h(t)=&-16t^2&+80t&+3\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)$

so it reached the vertex after $\bf -\cfrac{{{ b}}}{2{{ a}}}\quad seconds$

d)

the maximum height of the ball is $\bf {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\quad feet$

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3 years ago