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Masteriza [31]
3 years ago
5

What is the slope of a parallel to the graph?

Mathematics
1 answer:
Lelechka [254]3 years ago
6 0

Answer:

3

Step-by-step explanation:

slopes in parallel are equal

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Find an equation for a line that is normal to the graph of y=xe^x and goes through the origin
Marina CMI [18]
Y = xe^x
dy/dx(e^x x)=>use the product rule, d/dx(u v) = v*(du)/(dx)+u*(dv)/(dx), where u = e^x and v = x:
= e^x (d/dx(x))+x (d/dx(e^x))
y' = e^x x+ e^x
y'(0) = 1 => slope of the tangent
slope of the normal = -1
y - 0 = -1(x - 0)
y = -x => normal at origin
3 0
3 years ago
Find the distance between the points given. (-3, -6) and (3, 2)
vlada-n [284]

Answer:

10 units

Step-by-step explanation:

Moving from (-3, -6) to (3, 2), x increases by 6.  Draw a triangle and use this 6 as the length of the base.  y increases by 8.  Label the height of the triangle with this 8.  Then find the hypotenuse (which is also the desired distance) by using the Pythagorean Theorem:

6^2 + 8^2 = d^2, where d is that distance:

36 + 64 = 100 = d^2, and so d = 10.  The distance in question is 10 units.

5 0
3 years ago
PLSS HELP IF YOU TURLY KNOW THISS
yaroslaw [1]

Answer:

x = 11

Step-by-step explanation:

(0.3x - 2.1)/3 = 0.4

0.3x - 2.1 = 0.4 * 3

0.3x - 2.1 = 1.2

0.3x = 1.2 + 2.1

0.3x = 3.3

x = 3.3/0.3

x = 11

6 0
3 years ago
Read 2 more answers
What is the solution to this system of equations?
damaskus [11]

Since this is multiple choice ...

• check if B is correct:

x = 0, y = 4, z = 1   ⇒   3x - y + 4z = -4 + 4 = 0 ≠ -10

(it's not)

• check if C is correct:

x = -2, y = 4, z = 0

⇒   3x - y + 4z = -6 - 4 + 0 = -10

⇒   3x - y + 4z = 2 + 4 + 0 = 6

⇒   3x - y + 4z = -4 - 4 + 0 = -8

While this solution does satisfy the system, it can still have infinitely many other solutions that would work.

• check if D is correct:

Eliminate one of the variables from each equation. For instance,

(3x - y + 4z) + (-x + y + 2z) = -10 + 6

2x + 6z = -4

x + 3z = -2

and

(2x - y + z) + (-x + y + 2z) = -8 + 6

x + 3z = -2

but now it's impossible to eliminate one of the variables.

Therefore there are infinitely many solutions to the system [D].

3 0
1 year ago
Is this a function? Yes or No
tester [92]

Answer:

No

Step-by-step explanation:

Because the number 4 repeats itself in a function no numbers repeat themselves

4 0
3 years ago
Read 2 more answers
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