What is the length of the unknown<br> leg of the right triangle?

Look at the picture for the question<br> Please answer

Anvisha [2.4K]

Answer:

$\large\boxed{D.\ 12x^2-29x+14}$

Step-by-step explanation:

Use FOIL: <em>(a + b)(c + d) = ac + ad + bc + bd</em>

$(3x-2)(4x-7)=(3x)(4x)+(3x)(-7)+(-2)(4x)+(-2)(-7)\\\\=12x^2-21x-8x+14\qquad\qquad\text{combine like terms}\\\\=12x^2+(-21x-8x)+14=12x^2-29x+14$

7 0

3 years ago

Evaluate the surface integral. S xz ds, s is the part of the plane 2x 2y z = 4 that lies in the first octant

maksim [4K]

The value of the given surface integral is 4.

The given plane intercepts the coordinate axes at (2, 0, 0), (0, 2, 0), and (4, 0, 0). These point are the coordinates of a triangular region that we can parameterize using.

$S(u,v)=(1-u)((1-u)(2,0,0)+u(0,2,0)+u(4,0,0)\\S(u,v)=(2(1-u)(1-v),2u(1-v),4v)$

<h3>What is the surface integral?</h3>

A surface integral is a generalization of multiple integrals to integration over surfaces. It can be thought of as the double integral analog of the line integral. Given a surface, one may integrate a scalar field over the surface or a vector field.

with 0≤u≤1 and 0≤v≤1. Then the surface element ds is equivalent to

$ds=\||\:\left(s_u\times \:\:S_v\right)||dudv=12\left(1-v\right)dudv$

The surface integral is then

$\int \:\int \:_Sxzds=12\int _0^1\:\int _0^1\:\left(2\left(1-u\right)\left(1-v\right),2u\left(1-v\right),4v\right)dvdu=4$

Therefore the value of the given surface integral is 4.

To learn more about the integral visit:

brainly.com/question/14295614

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6 0

2 years ago

A new patio will be an irregular hexagon. The patio will have two long parallel sides and an area of 360 square feet. The area o

irina [24]

The problem ask to calculate the corresponding distance on the new patio where as the the patio will have two long parallel side and an area of 360 square feet and the area of the similar patio is 250 square feet and its long parallel sides are 12.5 feet apart. To calculate this the ratio of the distance of the two polygon is P:Q so it means that the are is also P^2:Q^2 so the ratio of the area is 36:25 so the the distance of the new patio is 18 feet

5 0

3 years ago

Read 2 more answers

Can someone help me!!!

Alex

Answer:

Step-by-step explanation:

$\frac{x}{3}+\frac{2}{5} =\frac{1}{15} \\\\\frac{x}{3} =\frac{1}{15} -\frac{2}{5} \\\\\frac{x}{3} =\frac{1-10}{15}\\\\x=\frac{-9}{15}*3=\frac{-9}{5}$