All categories

3 years ago

16. * MULTIPLE CHOICE Classify the fourth angle of a quadrilateral that

Mathematics

1 answer:

mash [69]3 years ago

8 0

Answer:

Obtuse

Step-by-step explanation:

The four angles in a quadrilateral must add up to 360 degrees. Since the three acute angles are each less than 90 degrees the last angle must be obtuse.

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P= (x,y) is an arbitrary point on the circle x^2+y^2=36

sesenic [268]

Let (x,y) be an arbitrary point on the circle.

Then d = √[x-3)2 + (y-0)2] = √[x2 - 6x + 9 + y2]

Since x2 + y2 = 1, y2 = 1-x2.

So, d = √[x2 - 6x + 9 + 1 - x2]

d = √(-6x+10)

Domain: x is the x-coordinate of a point on the circle centered at (0,0) with radius 1. So, -1≤x≤1.

But, for d to be defined, we need -6x+10 ≥ 0. So, x ≤ 5/3 (True for all x in [-1,1]).

Domain = [-1,1]

Range: -1 ≤ x ≤ 1 So, 6 ≥ -6x ≥ -6

16 ≥ -6x+10 ≥ 4

4 ≥ √(-6x+10) ≥ 2 That is, 2 ≤ d ≤4

Range: [2,4]

Step-by-step explanation:

3 0

3 years ago

5. The points (2, 4) and (6,7) lie on a line. What is the slope of the line? A. 2 B. 1 C. 4/3 D. 3/4

bearhunter [10]

The answer is D. 3/4

I hope this helped good luck!

3 0

3 years ago

What value of x makes this inequality true? x+9 < 4x

wariber [46]

Answer:

X>3

Step-by-step explanation:

X+9<4X

x-x+9<4x-x

9<3x

3<x

6 0

3 years ago

Help hurry pls. We are doing average rate of change and I need help

MrMuchimi

Answer:

09876543321

Step-by-step explanacdbhcybtfcbdshbcyhds\cdcd

7 0

3 years ago

What is the answer to this question?

krok68 [10]

Answer:

$\boxed{\pink{\sf Option \ (1) \ is \ correct . }}$

Step-by-step explanation:

Given function to us is ,

$\implies y = 5x^2 + 10$

And, we need to find the inverse of the equation.

So , for that firstly replace x with y . The equation becomes

$\implies x = 5y^2 + 10$

Now , next we need to solve for y .

$\implies x = 5y^2 + 10 \\\\\implies 5y^2 = x - 10 \\\\ \implies y^2 = \dfrac{x-10}{5} \\\\\implies y = \sqrt{\dfrac{x-10}{5}}$

Now , replace y for $f^{-1}(x)$

$\underline{\boxed{\orange{\tt \implies f^{-1}(x) = \pm\sqrt{\dfrac{x-10}{5}}}}}$

As per the options provided in Question we can that option (1) mathces with our answer when we just interchanged the variables.

Hence option (1) is correct.

4 0

3 years ago