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MA_775_DIABLO [31]
3 years ago
15

Write the following equation in the general form Ax + By + C = 0 2x + y = 6

Mathematics
1 answer:
ki77a [65]3 years ago
5 0
The Answer is 2x + Y - 6 =0
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The coordinates of the vertexes of a triangle are A(3,3) B(6,6) C(9,3). What will be the new coordinates after a dilation
yuradex [85]

Answer:

A

Step-by-step explanation:

Dilation by 3 from origin causes each point to be multiplied by 3.

(3,3) * 3 = (9, 9)

(6, 6) * 3 = (18, 18)

(9, 3) * 3 = (27, 9)

which is A

8 0
2 years ago
Explain why Rolle's Theorem does not apply to the function even though there exist a and b such that f(a)
Anna35 [415]

Rolle's Theorem does not apply to the function because there are points on the interval (a,b) where f is not differentiable.

Given the function is f(x)=\sqrt{(2-x^{\frac{2}{3}})^{3}}  and the Rolle's Theorem does not apply to the function.

Rolle's theorem is used to determine if a function is continuous and also differentiable.

The condition for Rolle's theorem to be true as:

  • f(a)=f(b)
  • f(x) must be continuous in [a,b].
  • f(x) must be differentiable in (a,b).

To apply the Rolle’s Theorem we need to have function that is differentiable on the given open interval.

If we look closely at the given function we can see that the first derivative of the given function is:

\begin{aligned}f(x)&=\sqrt{(2-x^{\frac{2}{3}})^3}\\ f(x)&=(2-x^{\frac{2}{3}})^{\frac{3}{2}}\\ f'(x)&=\frac{3}{2}(2-x^{\frac{2}{3}})^{\frac{1}{2}}\cdot \frac{2}{3}\cdot (-x)^{\frac{1}{3}}\\ f'(x)&=\frac{-\sqrt{2-x^{\frac{2}{3}}}}{\sqrt[3]{x}}\end

From this point of view we can see that the given function is not defined for x=0.

Hence, all the assumptions are not satisfied we can reach a conclusion that we cannot apply the Rolle's Theorem.

Learn more about Rolle's Theorem from here brainly.com/question/12279222

#SPJ4

8 0
2 years ago
Help me please find x for this triangle!!!!
Ne4ueva [31]

Answer:

x=30

Step-by-step explanation:

Since the measure of an exterior angle is equal to the sum of any two angles in a triangle, the equation would be 4x-18=2x+6+36. Solve this, and we get x=30.

Hope this helped!

5 0
2 years ago
¿Cómo las razones de seno y cos<br>eno son semejantes?​
Sauron [17]
Las razones de los lados de un triángulo rectángulo se llaman razones trigonométricas.

Espero te ayude :)
6 0
2 years ago
During a sale a dress decreased in price from $80 to $76 what was the percent of decrease
Nesterboy [21]
<span>Well 68/80 as a percent is 85 % .I got that by dividing 68 by 80 and them multiplying by 100. 100-85= 15. So therefore the dress decreased in price by 15%. </span>
4 0
3 years ago
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