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2 years ago

) Write an expression that is equivalent to 3(7 + x).

Mathematics

1 answer:

nata0808 [166]2 years ago

8 0

Answer:

=21 + 3x

Step-by-step explanation:

use distributive property

=3(7 + x)

=21 + 3x

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What property is (3x+7)+(2x+8)=3x+7+2x+8

Alex_Xolod [135]

Answer:

distributive property

Step-by-step explanation:

(3x + 7) + (2x + 8)

each of the parenthesis has a multiplier of 1 , placed outside the parenthesis.

then multiplying the terms inside the parenthesis by 1 gives

3x + 7 + 2x + 8

4 0

1 year ago

PLZ SOMEONE HELP ME

Sphinxa [80]

Answer:

9 teaspoons of cocoa

Step-by-step explanation:

3*3=9

6 0

2 years ago

Find the surface area of the surface given by the portion of the paraboloid z=3x2+3y2 that lies inside the cylinder x2+y2=4. (hi

natta225 [31]

Parameterize the part of the paraboloid within the cylinder - I'll call it $S$ - by

$\mathbf r(u,v)=\langle x(u,v),y(u,v),z(u,v)\rangle=\left\langle u\cos v,u\sin v,3u^2\right\rangle$

with $0\le u\le2$ and $0\le v\le2\pi$ . The region's area is given by the surface integral

$\displaystyle\iint_S\mathrm dS=\int_{u=0}^{u=2}\int_{v=0}^{v=2\pi}\|\mathbf r_u\times\mathbf r_v\|\,\mathrm du\,\mathrm dv$
$=\displaystyle\int_{v=0}^{v=2\pi}\int_{u=0}^{u=2}u\sqrt{1+36u^2}\,\mathrm du\,\mathrm dv$
$=\displaystyle2\pi\int_{u=0}^{u=2}u\sqrt{1+36u^2}\,\mathrm du$

Take $w=1+36u^2$ so that $\mathrm dw=72u\,\mathrm du$ , and the integral becomes

$=\displaystyle\frac{2\pi}{72}\int_{w=1}^{w=145}\sqrt w\,\mathrm dw$
$=\displaystyle\frac\pi{36}\frac23w^{3/2}\bigg|_{w=1}^{w=145}$
$=\dfrac\pi{54}(145^{3/2}-1)\approx101.522$

7 0

2 years ago

What would be the slope of a line perpendicular to y=2x + 1 be?

coldgirl [10]

The slope of the given line is 2.

The slope of the line perpendicular to the given line is the negative reciprocal of 2 or -1/2.

Answer: -1/2

3 0

3 years ago

Katie went shopping with her friends Erin. Katie bought 3 shirts and 2 pairs of pants for $80. Erin bought 3 shirts and 4 pairs

Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

shirt = x, pants: y

Katie equation: 3x + 2y = 80, Erin equation: 3x + 4y = 116

3x + 2y = 80

3x = 80 - 2y

x = 80/3 - 2y/3

3(80/3 - 2y/3) + 4y = 116

80 - 2y + 4y = 116

80 + 2y + 116

2y = 36

y = 18, pants cost $18

3x + 4(18) = 116

3x + 72 = 116

3x = 44

x = 14.66... (66 is repeating), shirts cost $14.66

check work:

Katie: 3(14.66) + 2(18) = 79.98 which is roughly 80.

6 0

3 years ago