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3 years ago

WATU

Mathematics

1 answer:

blondinia [14]3 years ago

7 0

Answer:

12.24

Step-by-step explanation:

13.48-1.24=12.24

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What is the slope of the line that passed through (3,-4) and (4,9)

Advocard [28]

Step-by-step explanation:

<u>Step 1: Find the slope</u>

<u /> $m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{9-(-4)}{4-3}$

$m =\frac{9+4}{1}$

$m=13$

Answer: The slope is 13

5 0

3 years ago

Evaluate the integral. (remember to use absolute values where appropriate. Use c for the constant of integration.) 5 cot5(θ) sin

ozzi

$I=5\int \frac{cos^{4}\theta }{sin\theta }\times cos\theta d\theta \\\\I=5\int \left ( 1-sin^{2}\theta \right )^{2}\times \frac{cos\theta }{sin\theta }d\theta \\put\ \sin\theta =t\\\\dt=cos\theta d\theta \\\\I=5\int\frac{t^{4}+1-2t^{2}}{t}dt\ \ \ \ \ \ \ \ \ \ \because (a-b)^2=a^2+b^2-2ab\\\\I=5\left ( \int t^{3}dt + \int \frac{1}{t} -2\int t \right )dt$

by using the integration formula

we get,

$\\I=5\left ( \frac{t^{4}}{4} +logt -t^{2}\right )\\\\I=\frac{5}{4}t^{4}+5\log t-5t^{2}+c$

now put the value of t=\sin\theta in the above equation

we get,

$\int 5\cot^5\theta \sin^4\theta d\theta=\frac{5}{4}sin^{4}\theta+5\log \sin\theta - 5sin^{2} \theta+c$

hence proved

7 0

3 years ago

One zero of f(x)=x^3-2x^2-5x+6 is 1 what are other zeros of the function

elena-s [515]

Answer:

The other zeros are -2 and 3.

Step-by-step explanation:

As 1 is a zero then (x - 1) is a factor so we divide:

x - 1 )x^3-2x^2-5x+6(x^2-x-6

x^3-x^2

-x^2-5x

-x^2+x

-6x+6

...........

x^2 - x - 6 = 0

(x - 3)(x + 2)

x = -2, 3.

7 0

3 years ago

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josiah is taking his friends to the movies each ticket cost $10, and popcorn is $5 a bag. there is a 3$ service fee for the enti

musickatia [10]

X = total amount paid
y = number of tickets
z = number of bags

your equation:
x = 10y + 5z + 3

hope this helps

4 0

4 years ago

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What is the slope of the line given by the equation y = -3x?

s2008m [1.1K]

The answer to this question would be B, -3. The reason for this is because when you have an equation in slope intercept form, it would be y = mx + b. In this case your b is equal to 0 so you have only y = mx. The variable m represents the slope, which is in this case, equal to -3. Hope this helps. Please rate, leave a thanks, and mark a brainiest answer. (Not necessarily mine). Thanks, it really helps! :D

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3 years ago

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