F(x) =2x^2+4x+5 Find: (a+h)

So if the question says at most 30 sq ft than most likely the > is going to go this way even if it has a line that symbolizes equal or more so that kinda narrows it down to 2 and 4. The L is -3ft x 2 Id say 4. Hope I helped

5 0

3 years ago

(3,4) and (12,19) find the equation of the line that passes through it

harina [27]

Answer:

The equation of the line will be:

$y=\frac{5}{3}x-1$

Step-by-step explanation:

Given the points

(3, 4)

(12, 9)

Finding the slope between (3, 4) and (12, 9)

$\left(x_1,\:y_1\right)=\left(3,\:4\right),\:\left(x_2,\:y_2\right)=\left(12,\:19\right)$

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{19-4}{12-3}$

$m=\frac{5}{3}$

The equation of the line can be obtained using the point-slope form of the equation of the line

$y-y_1=m\left(x-x_1\right)$

substituting the values m = 5/9 and the point (3, 4)

$y-4=\frac{5}{3}\left(x-3\right)$

$y-4+4=\frac{5}{3}\left(x-3\right)+4$

$y=\frac{5}{3}x-1$

Therefore, the equation of the line will be:

$y=\frac{5}{3}x-1$

5 0

2 years ago

Evaluate the expression Arcsec(sqrt 2). Do not use your calculator to answer this question. Do not express answer in decimals.

Igoryamba

Pi/4 radians
You're looking for the angle that has a secant of sqrt(2). And since the secant is simply the reciprocal of the cosine, let's take a look at that.
sqrt(2) = 1/x
x*sqrt(2) = 1
x = 1/sqrt(2)
Let's multiply both numerator and denominator by sqrt(2), so
x = sqrt(2)/2
And the value sqrt(2)/2 should be immediately obvious to you as a trig identity. Namely, that's the cosine of a 45 degree angle. Now for the issue of how to actually give you your answer. There's no need for decimals to express 45 degrees, so that caveat in the question doesn't make any sense unless you're measuring angles in radians. So let's convert 45 degrees to radians. A full circle has 360 degrees, or 2*pi radians. So:
45 * (2*pi)/360 = 90*pi/360 = pi/4
So your answer is pi/4 radians.

5 0

3 years ago

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