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2 years ago

Anybody want to answer this?

Mathematics

2 answers:

sertanlavr [38]2 years ago

8 0

Answer:

y = 38°

x = 89°

Step-by-step explanation:

y = 38°

( because y and 38° are pair of alternate interior angle )

2. x + 53° + 38° = 180°

( because sum of all interior angles of the triangle is 180° )

x + 91° = 180°
x = 180° - 91°
x = 89°

timurjin [86]2 years ago

4 0

Answer:

x = 89, y = 38

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the given angles and equate to 180

x + 53 + 38 = 180

x + 91 = 180 ( subtract 91 from both sides )

x = 89

y and 38 are alternate angles and are congruent, then

y = 38

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For f(x)=4sin(x2) between x=0 and x=3, find the coordinates of all intercepts, critical points, and inflection points to two dec

telo118 [61]

Answer:

Intercepts:

x = 0, y = 0

x = 1.77, y = 0

x = 2.51, y = 0

Critical points:

x = 1.25, y = 4

x = 2.17 , y = -4

x = 2.8, y = 4

Inflection points:

x = 0.81, y = 2.44

x = 1.81, y = -0.54

x = 2.52, y = 0.27

Step-by-step explanation:

We can find the intercept by setting f(x) = 0

$4sin(x^2) = 0$

$sin(x^2) = 0$

$x^2 = n\pi$ where n = 0, 1, 2,3, 4, 5,...

$x = \sqrt(n\pi)$

Since we are restricting x between 0 and 3 we can stop at n = 2

So the function f(x) intercepts at y = 0 and x:

x = 0

x = 1.77

x = 2.51

The critical points occur at the first derivative = 0

$f^{'}(x) = 4cos(x^2)2x = 8xcos(x^2) = 0$

$xcos(x^2) = 0$

$x = 0$ or

$cos(x^2) = 0$

$x^2 = \frac{\pi}{2} + n\pi$ where n = 0, 1, 2, 3

$x = \sqrt{\pi(n+1/2)}$

Since we are restricting x between 0 and 3 we can stop at n = 2

So our critical points are at

x = 1.25, $y = f(1.25) = 4sin(1.25^2) = 4$

x = 2.17 , $y = f(2.17) = 4sin(2.17^2) = -4$

x = 2.8, $y = f(2.8) = 4sin(2.8^2) = 4$

For the inflection point, we can take the 2nd derivative and set it to 0

$f^[''}(x) = 8(cos(x^2) - xsin(x^2)2x) = 8cos(x^2) - 16x^2sin(x^2) = 0$

$cos(x^2) = 2x^2sin(x^2)$

$tan(x^2) = \frac{1}{2x^2}$

We can solve this numerically to get the inflection points are at

x = 0.81, $y = f(0.81) = 4sin(0.81^2) = 2.44$

x = 1.81, $y = f(1.81) = 4sin(1.81^2) = -0.54$

x = 2.52, $y = f(2.52) = 4sin(2.52^2) = 0.27$

3 0

3 years ago

Question part points submissions used consider the following. g(x)={((x**2-a**2)/(x-a) text(if ) x != a,4 text(if ) x =

EastWind [94]

For $x\neq a$ , we have

$\dfrac{x^2-a^2}{x-a}=\dfrac{(x-a)(x+a)}{x-a}=x+a$

So for $g(x)$ to be continuous at $x=a$ , we require that the limit as $x\to a$ is equal to 4.

$\displaystyle\lim_{x\to a}g(x)=\lim_{x\to a}(x+a)=2a=4\implies a=2$

4 0

3 years ago

Help me please I really need help

lianna [129]

Answer:

im pretty sure its A

Step-by-step explanation:

7 0

3 years ago

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Alexus [3.1K]

10/10 = 1

There is no decimal form unless you do 1.0, 1.00, 1.000, and so on.

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3 years ago

If x varies directly as y, then what is y when x = 4, knowing that x = 60 when y = 5?

Basile [38]

Answer: The answer would be 1/2

Step-by-step explanation:

Y varies DIRECTLY as x. Find the constant of variation, k, if y = -5x

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It is a linear equation meaning equation of a straight line.

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remember that distance = speed times time.

or d=Vt

so car goes 105 miles on 3 hours

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if you know that, then you can tell how far it goes in 5 hours.

Hope I made it non tough enough

Please give me Brainliest

4 0

4 years ago

Read 2 more answers

Anybody want to answer this?​

Anybody want to answer this?