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aleksklad [387]

3 years ago

9

Which shows the correct method for solving the equation below? 1/3 (y-9) =3

1 answer:

lyudmila [28]3 years ago

3 0

Answer:

$y=18$

Step-by-step explanation:

we have

$\frac{1}{3}(y-9)=3$

Multiply by $3$ both sides

$3*(\frac{1}{3}(y-9))=3*3$

$(y-9)=9$

Adds $9$ both sides

$(y-9)+9=9+9$

$y=18$

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How do you find the equation for the line that is parallel to the line y=2/3x-7 and passes through the point (3,-1)

Debora [2.8K]

parallel lines have the same exact slope hmmm what's the slope of y = 2/3x-7 anyway? well, low and behold, is already in slope-intercept form, therefore

$\bf \stackrel{\textit{slope-intercept form}}{y=\stackrel{slope}{\cfrac{2}{3}}x-7}$ .

so we're really looking for the equation of a line whose slope is 2/3, and runs through 3, -1.

$\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{-1})~\hspace{7em} slope = m\implies \cfrac{2}{3} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-1)=\cfrac{2}{3}(x-3) \\\\\\ y+1=\cfrac{2}{3}x-2\implies y=\cfrac{2}{3}x-3$

3 0

3 years ago

In parts (a) through (e) below, mark the given statement as True or False. Justify each answer. All vectors are in set of rea

Oxana [17]

Answer:

(c)

"The given statement is true, by definition of length of a vector $v$ , $||v|| = \sqrt{v\bullet v}$ "

Step-by-step explanation:

(a) $v \bullet v = || v ||^2$

That is completely correct Remember that if $v = (x_1,x_2,x_3)\\$ then

$v \bullet v = x_1*x_1+x_2*x_2+x_3*x_3 = x_1^2+x_2^2+x_3^2 = ||v||^2$

Therefore the correct answer would be (c).

"The given statement is true, by definition of length of a vector $v$ , $||v|| = \sqrt{v\bullet v}$ "

5 0

3 years ago

Will mark brainliest plz help!

Elan Coil [88]

Answer:

56

Step-by-step explanation:

hope it helps

4 0

3 years ago

A shopper keeper sold a total of 15 boxes of pencils on Monday and Tuesday. She still three more boxes on Monday then on Tuesday

Nookie1986 [14]

I think 180 that should be your answer sorry i did not get here quick enough

8 0

3 years ago

Marie has 8 hours to write a 45-page chapter

Anastasy [175]

Marie will NOT complete the chapter in time

Step-by-step explanation:

If Marie writes at a constant speed of 4 pages per hour, to write a 45-page chapter she will take;

45/4 = 11.25

= 11 ¼ hours

11 ¼ hours > 8 hours

Therefore Marie will NOT complete the chapter in time

Learn More:

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7 0

3 years ago