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2 years ago

Find the equation of tangent and normal to the circle 2x² + 2y² -7x +4y - 3= 0 at (3/2, 3)

Mathematics

1 answer:

mr_godi [17]2 years ago

8 0

Answer:

2(3/2)^2+2(3)^2+4(3)-3=0

Step-by-step explanation:

3(4)^2+4(2)=0

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X+y-z=5 -x-4y-8z=6 3x+5y-4z=-20

Juli2301 [7.4K]

Answer:

x = 24.48, y = -15.52, z = 3.95 to the nearest hundredth.

Step-by-step explanation:

x+y-z=5 (a)

-x-4y-8z=6 (b)

3x+5y-4z=-20 (c)

Adding equations a and b:

-3y - 9z = 11 (d)

Now multiply equation b by 3:

-3x - 12y - 24z = 18 (e)

Adding c and e:

-7y - 28z = -2 (f) Multiply by 3 to give (g)

-3y - 9z = 11 (b) Multiply by -7 to give (h)

-21y - 84z = -6 (g)

21y + 63z = -77 (h) Adding g and h:

-21z = - 83

z = 3.952

and y is found bt substituting in equation d:

-3y - 9(3.952) = 11

y = ( 11 + 9(3.952) / -3

= -15.52.

Now find x by substituting for y an z in equation a:

x - 15.52 - 3.952 = 5

x = 5 + 15.52 + 3.952

= 24.476.

3 0

3 years ago

Please help, I will give brainliest.

Serjik [45]

Answer:

8.8-0.5=8.3 or 8 3/10

Hope This Helps!!!

3 0

3 years ago

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A class has 6 boys and 15 girls. What is the ratio of boys to girls

Over [174]

The answer is 6:15, but if u need to simplify the answer would be 2:5.

4 0

3 years ago

Read 2 more answers

Only 4 more left........................

Luden [163]

Answer:

2x^2 - 3x - 1

Step-by-step explanation:

4 0

3 years ago

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What is the average rate of change for h(t) between t=0 and t=2

nordsb [41]

Part a: Option D 18 feet per second

Part b: increasing

Solution:

Height $h(t)=-16 t^{2}+50 t+3$

Part a: To find the average rate of change for h(t) between t = 0 and t = 2.

Substitute t = 0 in h(t).

$h(0)=-16 (0)^{2}+50 (0)+3$

h(0) = 3

Substitute t = 2 in h(t).

$h(2)=-16 (2)^{2}+50 (2)+3$

h(2) = 39

Average rate of change formula:

$$=\frac{h(b)-h(a)}{b-a}$

Here, a = 0 and b = 2.

$$=\frac{h(2)-h(0)}{2-0}$

$$=\frac{39-3}{2}$

$$=\frac{36}{2}$

= 18

Average rate of change = 18 feet per second

Option D is the correct answer.

Part b:

This means height of the ball is increasing for 0 < x < 2.

6 0

3 years ago