Write an equation in standard form for the line whose slope is undefined and and passes through (-6,4).

1 answer:

6 0

A line whose slope is undefined has no finite slope; the line is a vertical one.
A vertical line has an equation of the form x = k. In this case, since the line passes thru (-6,4), the eq'n of the line is x = -6.

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The height in inches (h) of a tomato plant growing in a garden is given by the equation h=2t+3, where t represents time in days.

Klio2033 [76]

<span>since h=2t+3 i.e. at h=13 we find 13= 2t+3
i.e. 13-3= 2t
10=2t i.e. t=10/2
i.e. t=5 days
similarly at h=27
we find 27= 2t+3
i.e. 27-3= 2t
24=2t i.e.
t=24/2 i.e.
t=12 days
hence in 5 and 12 days the height of the tomato plant will be between 13 and 27 inches respectively.</span>

5 0

4 years ago

Read 2 more answers

What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form?

Pavel [41]

$\boxed{x_{1}=\frac{-5 + \sqrt{5}}{2}} \\ \\ \\ \boxed{x_{2}=\frac{-5 - \sqrt{5}}{2}}$

<h2>Explanation:</h2>

Using the quadratic formula:

$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \\ Here: \\ \\ f(x) = x^2 + 5x + 5 \\ \\ \\ So: \\ \\ a=1 \\ \\ b=5 \\ \\ c=5 \\ \\ \\ x=\frac{-5 \pm \sqrt{5^2-4(1)(5)}}{2(1)} \\ \\ x=\frac{-5 \pm \sqrt{25-20}}{2} \\ \\ x=\frac{-5 \pm \sqrt{5}}{2} \\ \\ \\ Two \ solutions: \\ \\ \boxed{x_{1}=\frac{-5 + \sqrt{5}}{2}} \\ \\ \\ \boxed{x_{2}=\frac{-5 - \sqrt{5}}{2}}$