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3 years ago

Find the value of x and y

Mathematics

1 answer:

erastova [34]3 years ago

4 0

Answer:

x = 15, y = 38

Step-by-step explanation:

2sides of the triangle are congruent, thus triangle is isosceles.

The 2 base angles are therefore congruent and since right isosceles triangle

Then each base angle = 45°, then

3x = 45 ( divide both sides by 3 )

x = 15

and

y + 7 = 45 ( subtract 7 from both sides )

y = 38

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3 years ago

Sin (3x) dx = ? find the integral

AVprozaik [17]

Answer:

$\displaystyle \displaystyle \int {sin(3x)} \, dx = \frac{-cos(3x)}{3} + C$

General Formulas and Concepts:

Calculus

Antiderivatives - Integrals

Integration Constant C

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

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U-Substitution

Step-by-step explanation:

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$\displaystyle \int {sin(3x)} \, dx$

Step 2: Identify Substitution Variables

u = 3x

du = 3dx

Step 3: Integrate

[Integral] Rewrite: $\displaystyle \frac{1}{3}\int {3sin(3x)} \, dx$
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3 years ago

Determine the intercepts of the line.

iogann1982 [59]

Answer:

y-intercept: (0,5)

x-intercept: (5/2,0)

Step-by-step explanation:

$-4x+7=2y-3$

$-4(0)+7=2y-3$

$0+7=2y-3$

$7=2y-3$

$10=2y$

$5=y$ <-- y-intercept: (0,5)

$-4x+7=2y-3$

$-4x+7=2(0)-3$

$-4x+7=-3$

$-4x=-10$

$x=\frac{5}{2}$ <-- x-intercept: (5/2,0)

4 0

3 years ago