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3 years ago

What's the answer to these two hard questions?

Mathematics

2 answers:

Alja [10]3 years ago

3 0

The second equation is y= -2x+8
so they intersect. they are opposite reciprocals. there is one solution.

vladimir2022 [97]3 years ago

3 0

Number six is three or c

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Write an equation of the line that passes through the given points.

Ratling [72]

$(\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})\qquad(\stackrel{x_2}{4}~,~\stackrel{y_2}{-1})\\\\\\% slope = m\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{-1}-\stackrel{y1}{4}}}{\underset{run}{\underset{x_2}{4}-\underset{x_1}{(-1)}}}\implies \cfrac{-5}{4+1}\implies \cfrac{-5}{5}\implies -1$

$\begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-1}[x-\stackrel{x_1}{(-1)}]\\\\\\y-4=-1(x+1)\implies y-4=-x-1\implies \blacktriangleright y = -x+3 \blacktriangleleft$

4 0

3 years ago

Evaluate the line integral, where C is the given curve. (x + 4y) dx + x2 dy, C C consists of line segments from (0, 0) to (4, 1)

zubka84 [21]

Parameterize the line segments (call them $C_1$ and $C_2$ , respectively, by

$\vec r_1(t)=(1-t)(0,0)+t(4,1)=(4t,t)$

$\vec r_2(t)=(1-t)(4,1)+t(5,0)=(4+t,1-t)$

both with $0\le t\le1$ . Then

$\displaystyle\int_C(x+4y)\,\mathrm dx+x^2\,\mathrm dy$

$=\displaystyle\int_0^1\bigg((4t+4t)(4)+(4t)^2(1)\bigg)\,\mathrm dt+\int_0^1\bigg((4+t+4(1-t))(1)+(4+t)^2(-1)\bigg)\,\mathrm dt$

$=\displaystyle\int_0^115t^2+21t-8\,\mathrm dt=\boxed{\frac{15}2}$

6 0

3 years ago

5. Are the slidutu pun - Complete: 1 = = = 8 It’s asking me to complete 1/2=

meriva

Answer:1/2=2/4=4/8

Step-by-step explanation:It's quite simple if you do 1/2 times 2 you would get 2/4 1*2=2 2*2=4 2/4 same with 2/4 time 2 2*2=4 4*2=8 4/8.

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4 years ago

Six classes from a school in Indiana collected a total of 2,166 pounds of paper to recycle. if each class collected the same amo

GuDViN [60]

I believe it’s 361, tell me if I’m wrong though!

6 0

3 years ago

When a decimal is written in word form, what indicates whether the number can be written as a mixed number or as a fraction less

vekshin1

9514 1404 393

Answer:

"and"

Step-by-step explanation:

Properly written, the word "and" separates the integer portion from the fractional portion of the number. If there is no "and", then there is no integer portion, so the number is a fraction less than 1.

Examples:

one and three tenths = 1 3/10

thirty-one thousandths = 31/1000

8 0

3 years ago