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3 years ago

Graph y=5/3x -9 ......

2 answers:

5 0

Y=mx+b
m=slope
b=y intercept

ok, graph the y intercept first
at y=-9
so at y=-9 on the y axis, put a point
basically graph (0,-9)

then, use the slope
slope=rise/run=5/3
from (0,-9), go up 5 units and to the right 3 units and put a point there
you will have put a point at (3,-4)

connect the 2 points ((0,-9) and (3,-4)) and now you have graphed it

alisha [4.7K]3 years ago

4 0

Put a point at -9 because that is the y-intercept.then from the point -9 count up 5 and count over 3.

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Find a unit vector orthogonal to the plane containing the points A= 1,0,0 , B= 3,−1,−3 , and C= 1,3,−2 .

zysi [14]

Answer:

unit normal vector n will be n=(a,b,c) = (4/√171,11/√171,6/√171)

Step-by-step explanation:

There are several ways to solve this problem

1) build 2 vectors AB and BC such that the vectorial product ABxBC is the orthogonal vector to the plane , then find unit vector

2) since the 3 points belongs to the plane solve a linear system of 4 equation with 4 variables

for the second solution , the equation of the plane with normal vector n=(a,b,c) and containing the point (x₀,y₀,z₀) is

a*(x-x₀)+b*(y-y₀)+c*(z-z₀) =0

and

a²+b²+c² = 1 (unit vector)

then choosing A=(x₀,y₀,z₀)=(1,0,0)

a*(x-1)+b*(y-0)+c*(z-0) =0

for B

a*(3-1)+b*(-1-0)+c*(-3-0) =0

1) 2*a - b - 3*c =0

for C

a*(1-1)+b*(3-0)+c*(-2-0) =0

2) 3*b - 2*c=0 → b= 2/3*c

replacing in 1)

2*a - 2/3*c - 3*c =0

2*a-11/3*c=0 → a=11/6*c

thus

a²+b²+c² = 1

(11/6*c)²+(2/3*c)²+c² = 1

(121/36+4/9+1)*c² = 1

171/36*c²=1 → c= 6/√171

therefore

a=11/6*c = 11/6*6/√171= 11/√171

b=2/3*c= 2/3*6/√171= 4/√171

then the unit normal vector n will be

n=(a,b,c) = (4/√171,11/√171,6/√171)

5 0

4 years ago

The slope of a line parallel to y=2x+1 is 2

Ann [662]

Yes. Parallel means same slope as original line. So it’s 2

7 0

3 years ago

pl help it’s for a grade

kirill115 [55]

Answer:

area of lot: (2×2+7×+6)-1624= 2×2+7×-1618

Step-by-step explanation:

lot: (2×+3)(xt2)

2×2+4×t3×t6

a: 2×2+7×+6ft 2

house: 58×28= 1,624

a: 1624 ft 2

8 0

3 years ago

Find a? <br> 24=-3(2a-15)-a

trapecia [35]

Answer: A = 3

Step-by-step explanation:

Simplify by multiplying

-6a + 45 -a

add like terms

-7a + 45 = 24

-7a = -21

a = 3

3 0

4 years ago

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(HELP! I HAVE NO TIME) At 2pm, a store had sold 15 packs of toilet paper. By 5pm, the store had sold 57 packs of toilet paper. W

Novay_Z [31]

$\mathrm {Hey, there!}$

Let's solve your problem:

The answer would be 280%.

We know the following information:

2pm - 15 toilet paper rolls

5pm - 57 toilet paper rolls

We have to find the <u>percent rate of change.</u>

Here is how we will do this problem:

<h3><u>First, Set up a ratio:</u></h3>

Change in the quantity [15 - 57]

-------------------------------------

Original quantity [15]

57 - 15 = 42

<h3><u>Next, we will divide. the ratio.</u></h3>

Given quantity - 42

Number of packs sold at 2pm - 15

Fraction - 42/15

<h3><u>Convert the fraction to a decimal.</u></h3>

Fraction - 42/15

Decimal - 2.8

<h3><u>Make the decimal to a percent.</u></h3>

Decimal - 2.8

Percent - 28%

<h2><u>Our answer is 280%</u></h2>

4 0

3 years ago

Read 2 more answers