If f(x)=e^x, which of the following lines is an aymptote to the graph f

1 answer:

4 0

As x heads off to positive infinity, f(x) will do the same. This means f(x) grows without bound in the positive x direction.

However, in the other direction, as x goes to negative infinity things are a bit different. Instead of going off to infinity, f(x) will approach y = 0. It will never touch or cross this horizontal line. It will only get closer and closer. Think of it as an electric fence you can't touch.

So there is only one horizontal asymptote and it is the horizontal line y = 0. This is the horizontal line that overlaps the x axis.

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Sidana [21]

Answer:

Step-by-step explanation:

1) ΔCPD & ΔEPF

∠CPD = ∠EPF { Vertically opposite angles}

∠CDP = ∠PFE {CD║EF, FD is transversal, Alternate interior angles are equal}

ΔCPD ≈ΔEPF {AA criteria for similarity }

$\frac{DC}{EF} =\frac{PC}{EP}\\\\\\\frac{27}{EF}=\frac{15}{7.5}\\\\$

Cross multiply

EF * 15 = 27 * 7.5

$EF =\frac{27*7.5}{15}\\\\$

EF = 27 * 0.5

EF = 13.5 cm

ii) EF // AB, so Triangles ACB & ECF are similar triangles

$\frac{AB}{EF}=\frac{AC}{EC}\\\\\frac{22.5}{13.5}=\frac{AC}{22.5}$

$AC= \frac{22.5*22.5}{13.5}\\\\AC=37.5 cm$

AC = 37.5 cm

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Step-by-step explanation:

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55/100 or 11/20

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In the above figure (not drawn to scale), Find ∠AEC.

n200080 [17]

Answer:

C. 75°

Step-by-step explanation:

We have been given a circle and we are asked to find the measure of angle AEC.

We will use Intersecting chords theorem to find the measure of angle AEC, which states that measure of angle formed inside a circle by two intersecting chords is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

We can see that measure of arc AC is 110 degrees and measure of its vertical arc BD is 40 degrees.

$m\angle AEC=\frac{110^o+40^o}{2}$