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3 years ago

Why dose a triangle form 180 degress

Mathematics

1 answer:

Lelu [443]3 years ago

3 0

All Triangles are equal to 180° on a plane surface no triangle is equal to 180° on a curved surface.

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B. Determine the values of a and b so that f is continuous. Please help!

wlad13 [49]

Answer:

following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

$\lim_{x\to 2}+f(x) = \lim_{x\to 2}+ (ax^2-bx+3) = 4a-2b+3\\\\ \to 4a-2b+3 = 4\\\\ \therefore \ \ 4a-2b = 1\\\\$

The one-sided limits of F(x) at x = 3 must be equivalent for f(x) to be continuous at x = 3.

$\to \lim_{x\to 3}- f(x) = \lim_{x\to 3}- (ax^2-bx+3) = 9a-3b+3\\\\ \to \lim_{x\to 3}+ f(x) = \lim_{x\to 3}+ (2x-a+b) = 6-a+b\\\\$

So,

$\to 9a-3b+3 = 6-a+b\\\\\therefore\\ \to 10a -4b = 3$

$\to 4a - 2b = 1......(a)\\\to 10a - 4b = 3.......(b)\\$

In equation a multiply the by -2 and then add in the equation b:

$\to -8a + 4b = -2\\\to 10a - 4b = 3\\ \to 2a = 1\\\\ \to a = \frac{1}{2}\\\\ \to \ 4(\frac{1}{2}) - 2b = 1\\\\ \to 2 - 2b = 1\\\\ \to -2b = -1\\\\ \to b = \frac{1}{2}$

So, the value of $a \ and \ b= \frac{1}{2}$

4 0

2 years ago

720-8534-4312

Natasha_Volkova [10]

Answer:

144

Step-by-step explanation:

12*12 =144

4 0

2 years ago

Read 2 more answers

Solve -3 < -4x + 1 < 13 A. (-3,1) B. [-3,1] C. (4,2) D. [4,2]

Lynna [10]

Greetings from Brasil...

Let's solve this inequality.

Let's isolate X. For this, the elements that are with it must be sent to both sides:

- 3 < - 4X + 1 < 13

- 3 - 1 < - 4X < 13 - 1

- 4 < - 4X < 12

important: see annex

7 0

3 years ago

What is a multiple of 9 between 141 163 180 and 155

Ann [662]

Answer:

180 is a multiple of 9

Step-by-step explanation:

9 times 20 is 180.

8 0

2 years ago

Please give the answer if your answer will be correct I promise that will mark as brainliest

harkovskaia [24]

Answer:

4 1/2 : 2 1/4

Divide both sides by 2 1/4

2 : 1

-------------------------------

3 months : 1 year

1 year = 12 months

3 : 12

Divide both sides by 3

1 : 4

7 0

2 years ago

Read 2 more answers