Write the equation of the line in fully simplified slope-intercept form.

Answer: We can find the equation of a plane in point-normal form, which is given by:

Ax + By + Cz + D = 0

where (A, B, C) is the normal vector to the plane and (x, y, z) are the coordinates of any point on the plane, and D is a constant.

To find the normal vector, we can use the cross product of two vectors that lie on the plane. A convenient choice for these vectors is the direction vector of the line, which is given by:

v = <2-3, -1-4, 5-(-1)> = < -1, -5, 6 >

The normal vector to the plane is given by the cross product of the direction vector of the line and the vector pointing from any point on the line to the point (2,-3,1). Let's call this vector v2 = <2-3, -3-4, 1-(-1)> = < -1, -7, 2>

So the normal vector is given by:

n = v x v2 = ( -52 + 6-7)i + (6*-1 - -12)j + (-1-7 - -5*2)k = (14)i + (-7)j + (-11)k

Given that the point (2,-3,1) lies on the plane, we can substitute these values in the point-normal form equation:

A2 + B-3 + C*1 + D = 0

-142 + -7-3 + -11*1 + D = 0

-28 - 21 - 11 + D = 0

D = 58

So the equation of the plane is :

14x - 7y - 11z + 58 = 0

This is the equation that represents the plane that passes through (2,−3,1) and is normal to the line joining the points (3,4,−1) and (2,−1,5)

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

It is $0.59 cheaper this week.

▹ Step-by-Step Explanation

Generally - $2.69 EACH

This week - $6.30 for 3

$6.30 ÷ 3 = $2.10

$2.69 - $2.10 = $0.59

Hope this helps!

- CloutAnswers ❁

Answer:

$0.59

Step-by-step explanation:

Each water bottle was $2.69

Now it is 3 bottles for $6.30

If 3 bottles=$6.30 then each bottle must equal $2.10 ($6.30 divided by 3)

$2.10<$2.69 by how much?

well, $2.69-$2.10=$0.59

$0.59 is their difference.

for the promotion the cost is $0.59 less

Answer:

A. 100.48

Step-by-step explanation:

2(pi) 16

c= 2pi(radius)

Answer: I'm pretty sure

Step-by-step explanation:

The statement that is true based on the given equation is (c) The equation does not show a linear relationship or a proportional relationship.

How to determine the true statement?

The equation of the function is given as:

y = 25x^2 + 60

Linear equations can take any of the following forms

Ax + By = C

y = mx + c

y - y1 = m(x - x1)

Any equation that takes a form different from the above forms is not a linear equation

Hence, the statement that is true based on the given equation is (c) The equation does not show a linear relationship or a proportional relationship.

Answer:

425 is the answer.

Step-by-step explanation:

Answer:

Step-by-step explanation:

d

Answer:

$19.00

Step-by-step explanation:

The answer would obviously not be the first 2 due to those being lower than the sale price so it would have tot be one of the bottom 2 so i chose one of the two and figured out what 20% off those prices would be to see which matched with $15.20 :) pls give me brainliest

Answer:

C

Step-by-step explanation:

Because 20% of 15.20 is 3.04.

Then, 3.04+15.20= C) $18.24

Your answer would be C) $18.24

Answer: 1. a. 15     b. 11     c. 2     d. 7     e. 5.5

2.  Stem:                   Leaf:

        1                           9

        2                         5, 9

        3                        3, 3, 8

        4                        0, 7, 9

        5                          4, 5

        6                           1, 5

        7                           2, 7

        8                             1

3. a. 13 inches        b. I'm pretty sure that it is the second quarter because there is more snow.           c. The first quarter because it's section is more spread out among the numbers.

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

7(9+3) you multiply 7 to both numbers like this

63+21 and then you can simplify

84

If you need the other 3 done just comment on this question to tell me

Also please mark brainliest

Answer:

Step-by-step explanation:

1.84

2.32

3.30

4.88

1.

84 because PEMDAS(parenthesis/Exponents/Multiply/Divide/Add/Subtact) says you do parenthesis first. So you add 9 and 3 to get 12. The you do 12*7 to get 84.

Answer:

it should be 2.28

Step-by-step explanation:

srry if wrong

Answer: The Pyramid has 2 pairs of congruent faces

Step-by-step explanation:

The explanation of congruent is the face has the same shape and same size. On rectangle pyramid, the height triangle are 2 same faces and 2 same faces, so it has 2 pairs of congruent faces

Answer:

Step-by-step explanation:

The GCF is 2

14-6=2x(7-3)

Answer:

0.15=15%

0.12=12%

0.08%=8%

Step-by-step explanation:

Answer:

a's answer = E

b's answer = C

c 's answer= D

d 's answer= A

Answer:

with what

Step-by-step explanation:

Answer: D

Step-by-step explanation: it’s the last one, I think .

This is a system of three equations with two unknowns, x and y. To solve it, we can use the method of elimination. First, we can eliminate y by subtracting the first equation from the second equation:

x^2-2y=3 - (x-2y=3) => x^2-x=0

Then we can factor the resulting equation and find the values of x:

x^2-x=0 => x(x-1)=0 => x=0 or x=1

Next, we can substitute these values of x into any of the original equations and find the corresponding values of y. For example, using the first equation:

x-2y=3 => 0-2y=3 => y=-3/2 when x=0 x-2y=3 => 1-2y=3 => y=-1 when x=1

Finally, we can substitute these values of x and y into the expression x2y-2xy2 and evaluate it:

x2y-2xy2 => 02(-3/2)-2(0)(-3/2)2 => 0 when x=0 and y=-3/2 x2y-2xy2 => 12(-1)-2(1)(-1)2 => -3 when x=1 and y=-1

Therefore, the value of x2y-2xy2 can be either 0 or -3 depending on the values of x and y.

Answer:

A 9%

Step-by-step explanation:

There are 100 boxes and only 9 are shaded so a fraction of that would be 9/100 so if you convert that to a percentage it would be 9% of the boxes

so therefor 9% is you answer

Answer:

Step-by-step explanation:

The coordinate of point c is  4,3

I hope it help you

Answer:

it's Zac Efron for sure, Leonardo DiCaprio is just not the same...

The function for the points are  y = -15x - 5

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

Learn more about functions at: https://brainly.com/question/25638609

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The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

To know more about functions and points:

https://brainly.com/question/30721594

Answer:

c.

Step-by-step explanation:

Answer:

400/ 81

Step-by-step explanation:

16/25 × (5/3)^4

16/25 × (625/ 81)

10000/ 2025

400/81

Answer:

a ; 24

Apoximenly the same as 8th grade.

Answer:

H=16 L1=3 L2=2

Step-by-step explanation: First, we need to brainstorm the multiples of 32 and 48, 16 comes to mind. Because 48 and 32 are both multiples of 16, one can determine that since 16x3 is 48 then L1, should be 3. Finally 16x2 is 32 so L2 must be 2.

Answer: 48 + 32 = 16 (3+2)

Step-by-step explanation:

Find the area of the whole rectangle:

48 + 32 = 80

let's just say that the length is 5 broken up and the height is 16

16 x 5 = 80

All we need to do is break it up correctly to fit make the totals 48 and 32.

16 x 3 = 48

16 x 2 = 32

In the end we get the equation:

48 + 32 = 16 (3+2)

Your welcome! please give brainliest :)

Answer:

226.08

Step-by-step explanation:

Here are the pairs matched with their products:

- (-5)(4.2) matches with -21

- (-7)(-3) matches with 21

- (2.5)(-9) matches with -22.5

Pairs (4) and (5) do not have corresponding products in the given options.