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3 years ago

What property is shown 7(m+9)=(7m)+(7*9)

Mathematics

2 answers:

SCORPION-xisa [38]3 years ago

5 0

Answer:

This is the distributive property of multiplication.

Step-by-step explanation:

dedylja [7]3 years ago

5 0

Distributive property of multiplication.
The number outside the parentheses is multiplied and added or subtracted to each successive term.
So x(y+z)=xy+yz

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Evaluate the integral by making an appropriate change of variables.

VARVARA [1.3K]

By inspecting the integrand, the "obvious" choice for substitution would be

u = y + x

v = y - x

Solving for x and y, we would have

x = (u - v)/2

y = (u + v)/2

in which case the Jacobian and its determinant are

$J=\begin{bmatrix}x_u&x_v\\y_u&y_v\end{bmatrix}=\dfrac12\begin{bmatrix}1&-1\\1&1\end{bmatrix}\implies|\det J|=\left|\dfrac12\right|=\dfrac12$

The trapezoid R has two of its edges on the lines x + y = 8 and x + y = 9, so right away, we have 8 ≤ u ≤ 9.

Then for v, we observe that when x = 0 (the lowest edge of R), v = y ; similarly, when y = 0 (the leftmost edge of R), v = -x. So

-x ≤ v ≤ y

-(u - v)/2 ≤ v ≤ (u + v)/2

-u + v ≤ 2v ≤ u + v

-u ≤ v ≤ u

So, the integral becomes

$\displaystyle\iint_R5\cos\left(7\frac{y-x}{y+x}\right)\,\mathrm dA=\int_8^9\int_{-u}^u\frac52\cos\left(\frac{7v}u\right)\,\mathrm dv\,\mathrm du$

$=\displaystyle\frac52\int_8^9\frac u7(\sin7-\sin(-7))\,\mathrm du$

$=\displaystyle\frac57\sin7\int_8^9u\,\mathrm du$

$=\displaystyle\frac5{14}\sin7(9^2-8^2)=\boxed{\frac{85}{14}\sin7}$

4 0

3 years ago

PLEASE HELP!!!! I will mark brainliest

strojnjashka [21]

Answer:

I think B.

Step-by-step explanation:

3 0

3 years ago

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Write the standard form of the equation of the circle with the given characteristics.

SOVA2 [1]

<h2>Circle Equations</h2>

<h3>Write the standard form of the equation of the circle with the given characteristics.</h3><h3>Center: (0, 0); Radius: 2</h3>

To determine the equation of a circle, use the standard form of a circle (x - h)² + (y - k)² = r² where,

(h, k) is the center; and
r is the radius

Substitute the values of the center and radius to the standard form.

Given:

(0, 0) - center

2 - radius

(x - h)² + (y - k)² = 2²
(x - 0)² + (y - 0)² = 4
x² + y² = 4

Answer:

The equation of the circle is x² + y² = 4.

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2 years ago

A store is selling a shirt for 1/4 off the original price of 28. what is the sale price of the shirt

Sedaia [141]

1/4 off means 0.25 * 28
7
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Which graph represents a function with an initial value of 1/2

melisa1 [442]

The initial value is the value of the y-coordinate when the x-coordinate is equal to 0. That is the same to say the value at which the graph intercepts the y-axis. So, you justt have to pick the graph whose line intercepts the y-axis at 1/2.

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4 years ago

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What property is shown 7*(m+9)=(7*m)+(7*9)

What property is shown 7(m+9)=(7m)+(7*9)