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3 years ago

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Mathematics

1 answer:

Rudiy273 years ago

3 0

I’m pretty sure it is 123

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What the ratio 9:13 as a fraction?

Airida [17]

The answer is 9/13 as a fraction

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Simplify the expression: (4xy)-2

nadezda [96]

It would be -8xy because you have to multiple

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3 years ago

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Help me please!!!!!!

lara [203]

Answer:

a. $b=2$

b. $b = 2a$

c. $a = \frac{1}{2}b\\$

d. $b = 10$

Step-by-step explanation:

Gradient is just another similar term for slope l, $m$ , and it can be calculated by $m = \frac{y_2 -y_1}{x_2 -x_1}\\$ where $x_n$ and 1 $y_n$ is the $xy$ -coordinates of point $n$

We let $(0,0)$ be point $1$ and $(a,b)$ be point $2$ , we can then write the equation:

$m = \frac{b -0}{a -0}\\ m = \frac{b}{a}$ .

It also says that the points are with a gradient of $2$ so $m = 2$ . We can then write the equation:

$2 = \frac{b}{a}\\$

Finding $b$ If $a = 1$ :

$2 = \frac{b}{a} \\ 2 = \frac{b}{1} \\ 2 = b \\ b = 2$

Writing an expression for $b$ in terms of $a$ .

$2 = \frac{b}{a} \\ \frac{b}{a} = 2 \\ \frac{b}{a} \times a = 2 \times a \\ b = 2a$

Writing an expression for $a$ in terms of $b$

$2 = \frac{b}{a} \\ \frac{b}{a} = 2 \\ \frac{a}{b} = \frac{1}{2} \\ \frac{a}{b} \times b = \frac{1}{2} \times b \\ a = \frac{1}{2}b$

Finding $b$ if $a = 5$

$2 = \frac{b}{a} \\ 2 = \frac{b}{5} \\ \frac{b}{5} = 2 \\ \frac{b}{5} \times 5 = 2 \times 5 \\ b = 10$

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3 years ago

If sin theta = -(sqrt(3))/2 and pi < theta < (3pi)/2, what are the values of cos theta and tan theta?

Gwar [14]

For $\pi$ , we expect $\cos\theta$ . Then recalling that $\sin^2\theta+\cos^2\theta=1$ , we have

$\cos\theta=-\sqrt{1-\sin^2\theta}=-\dfrac12$

Then by definition of tangent,

$\tan\theta=\dfrac{\sin\theta}{\cos\theta}=\dfrac{-\frac{\sqrt3}2}{-\frac12}=\sqrt3$

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4 years ago

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A rectangle is inscribed in a semicircle of radius 2. Let P = (x,y) be the point in the quadrant I that is a vertex of the recta

nlexa [21]

The solutions would be like this for this specific problem. Please refer to the attachment below.

I am hoping that these answers have satisfied your queries and it will be able to help you in your endeavors, and if you would like, feel free to ask another question.

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4 years ago