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Juliette [100K]
3 years ago
15

Write an equation of a line that is perpendicular to the given line and that passes through the given point.

Mathematics
1 answer:
devlian [24]3 years ago
8 0
Here is the answer I believe. It goes in a x all it did was added to to each x and y (-3,0)
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Evaluate f(x)=-7x+3 when x=-2, x=0, and x=5
Bas_tet [7]

Answer:

-7× 2 +3= 17

-7×0+3=3

-7×5+3= -32

6 0
3 years ago
Find the tangent plane to the given surface of f(x,y)=6- 6/5 x-y at the point (5, -1, 1). Make sure tat your final answer for th
HACTEHA [7]

Answer:

Required equation of tangent plane is z=\frac{6}{5}(x-5y-11).

Step-by-step explanation:

Given surface function is,

f(x,y)=6-\frac{6}{5}(x-y)

To find tangent plane at the point (5,-1,1).

We know equation of tangent plane at the point $(x_0,y_0,z_0)[/tex] is,

z=f(x_0,y_0)+f_x(x_0,y_0)(x-x_0)+f_y(x_0,y_0)(y-y_0)\hfill (1)

So that,

f(x_0,y_0)=6-\frac{6}{5}(5+1)=-\frac{6}{5}

f_x=-\frac{6}{5}y\implies f_x(5,-1,1)=\frac{6}{5}

f_y=-\frac{6}{5}x\implies f_y(5,-1,1)=-6

Substitute all these values in (1) we get,

z=\frac{6}{5}(x-5)-6(y+1)-\frac{6}{5}

\therefore z=\frac{6}{5}(x-5y-11)

Which is the required euation of tangent plane.

4 0
3 years ago
Pls answer ASAP<br>Lesson: Probability<br>Ty in advance
hammer [34]

The probability can be calculated as given because there are a total of 52 cards.

<h3>What is probability?</h3>

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of card = 52

Number of king of heart = 1

P(getting a king of hearts) = 1/52

P(getting a spade) = 13/52 = 1/4

P (getting a 5 or a club) = (16/52) = 4/13

P(getting a 5 or a 7) = 4/52 + 4/52 = 8/52 = 2/13

P(getting a card which is not a spade) = 1 - 1/4 = 3/4

P(getting 11 of clubs) = 1/52

Thus, the probability can be calculated as given because there are a total of 52 cards.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

8 0
1 year ago
Write 4/14 in simplest form
kondaur [170]

Answer:

2/7

Step-by-step explanation:

14/2=7. 4/2=2 .2/7 is the answer

7 0
2 years ago
Read 2 more answers
What is the slope of a horizontal line?
Misha Larkins [42]

Answer:

Slope of a horizontal line. When two points have the same y-value, it means they lie on a horizontal line. The slope of such a line is 0, and you will also find this by using the slope formula.

8 0
2 years ago
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