2 years ago

Using the graph, determine the coordinates of the x-intercepts of the parabola. Y

Mathematics

1 answer:

GarryVolchara [31]2 years ago

6 0

Answer: -2 and 4

Step-by-step: You see the horizontal line? now look at the the numbers -2 and 4 on that line. Notice how the line passes through them? those are your x-intercepts.

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Lynna [10]

$\cos^{2}(2x)-\sin^{2}(2x)=0$
$\rightarrow \sin^{2}(2x)=\cos^{2}(2x)$
$\rightarrow \frac{\sin^{2}(2x)}{\cos^{2}(2x)}=1$
$\rightarrow \tan^{2}(2x)=1$
$\rightarrow \tan(2x)=\pm 1$

$2x$ can range anywhere in $[0, 4\pi)$
So:
$\rightarrow 2x=\frac{\pi}{4}, \frac{3\pi}{4}, \frac{5\pi}{4}, \frac{7\pi}{4}, \frac{9\pi}{4}, \frac{11\pi}{4}, \frac{13\pi}{4}, \frac{15\pi}{4}$
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Combine like terms for the following expression:<br> -3x +14 - 11+ 11x

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2 years ago

On the road trip, the speed limit changed to 50 miles per hour in a construction zone. Traffic moved along at a constant rate (5

navik [9.2K]

Answer:

d= 12.50 miles

Step-by-step explanation:

Kinematic equation of uniform motion (constant speed) :

v= d/t Formula (1)

v: velocity in miles per hour (mph)

d: distance in miles

t: time in hours

Data

v= 50 mph

t= 0.25 hours

Problem development

We replace data in formula (1)

50 mph=d/0.25 hour

$50 \frac{miles}{hour} = \frac{d}{0.25 hour}$

$d= 50\frac{miles}{hour} *0.25 hour$

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d= 12.50 miles

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Answer:

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Step-by-step explanation:

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