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4 years ago

Find the equation of the line.

Mathematics

1 answer:

Lapatulllka [165]4 years ago

8 0

Y= -3x+7 im pretty sure this is the answer

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The sum of two numbers is 36. their difference is 4. determine the two unknown numbers.

Rasek [7]

So you know if a and b are the numbers that a+b=36 and a-b=4 so you can solve one I solved the second equation for a a=4+b and plugging that a value into equations gives you 4+b+b=36
This simplified to 4+2b=36
2b=32
B=16 so you know one number is 16 and you can plug it in to find a a-16=4 so a=20

Therefore the two numbers are 16 and 20

6 0

4 years ago

Find an equation of the plane. The plane that passes through the line of intersection of the planes x − z = 3 and y + 2z = 3 and

IgorLugansk [536]

Answer:

x-y-3=0

Step-by-step explanation:

Choose two common points on the line of intersection of the planes x − z = 3 and y + 2z = 3:

1st point: if x=0, then z=-3 and y=3-2z=3+6=9, so the 1st point is (0,-3,9);
2nd point: if x=3, then z=0 and y=3-2z=3-0=3, so the 2nd point is (3,0,3).

The perpendicular plane to the plane x+y-4z=6 is parallel to the vector with coordinates (1,1,-4) (normal vector of the given plane).

Hence, the equation of needed plane is

$\left\|\begin{array}{ccc}x-0&y-(-3)&z-9\\3-0&0-(-3)&3-9\\1&1&-4\end{array}\right\|=0\Rightarrow \left\|\begin{array}{ccc}x&y+3&z-9\\3&3&-6\\1&1&-4\end{array}\right\|=0$

Thus,

$\left\|\begin{array}{ccc}x&y+3&z-9\\3&3&-6\\1&1&-4\end{array}\right\|=0\Rightarrow \\\\-12x-6(y+3)+3(z-9)-3(z-9)+6x+12(y+3)=0\\ \\-6x+6(y+3)=0\\ \\-x+y+3=0\\ \\x-y-3=0$

4 0

4 years ago

zahra earns $80 each day plus a 6% commission on her sale at an appliance store. on friday zahra has $900in sales.how much does

goldenfox [79]

<h3>Zara earned $ 134 on friday including commission</h3>

<em><u>Solution:</u></em>

Given that,

zahra earns $80 each day plus a 6% commission on her sale at an appliance store

zahra has $900 in sales

<em><u>Find the commission amount</u></em>

commission amount = 6 % of 900

$commission\ amount = \frac{6}{100} \times 900\\\\commission\ amount = 54$

Zara earnings including commission amount = 80 + 54 = 134

Thus Zara earned $ 134 on friday including commission

3 0

3 years ago

Which graph represents a function with direct variatio?

worty [1.4K]

Answer:

In short, you are looking a diagonal line passing through the origin. And yes diagonal line is a straight-edged line that is running diagonally.

Step-by-step explanation:

If you want a better answer you can post the graphs.

I will tell you the trick, direct variations is another words for the relation is proportional.

The graph will have equation y=kx where k (k can't be zero) is the slope and your y-intercept is 0. The graph should be a diagonal line.

In short, you are looking a diagonal line passing through the origin. And yes diagonal line is a straight-edged line that is running diagonally.

8 0

3 years ago

I really need help with my homework

LekaFEV [45]

Answer:

1. 22

2. 8

3. 31

4. 20

5. 38

6. 22

4 0

3 years ago