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2 years ago

In which quadrant does the point (–10, 9) lie?

Mathematics

2 answers:

Furkat [3]2 years ago

5 0

A. Quadrant I is the correct answer.

x axis is -10 and y axis is 9

Luden [163]2 years ago

3 0

Quadrant I because since the first one is -10, the negative side is on the left, in quandrant I

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Twice the difference of a number and 6 is at least 24

gregori [183]

Answer:

what about 4

Step-by-step explanation:

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2 years ago

It costs $109 per night to rent a motel room in Georgia. There is a one-time $30 non-refundable deposit required. How much will

Ne4ueva [31]

Answer:

$793.00

Step-by-step explanation:

109x7=763

763+30=793

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2 years ago

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-2 (x + 3z) + 4x - 3y + 2z

andriy [413]

Answer:

-2 (x + 3z) + 4x - 3y + 2z

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3 years ago

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Write the sum of 18 + 27 as the product of their GCF and another sum (PLEASE HELP)

nikdorinn [45]

27
18
----
45

GCF of 45 = 15
Here is a word document on Greatest Common Factors and how to solve it.

Download docx

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2 years ago

Prove : sin²θ + cos²θ = 1 thankyou ~

Gnom [1K]

Answer:

See below

Step-by-step explanation:

Here we need to prove that ,

$\sf\longrightarrow sin^2\theta + cos^2\theta = 1$

Imagine a right angled triangle with one of its acute angle as $\theta$ .

The side opposite to this angle will be perpendicular .
Also we know that ,

$\sf\longrightarrow sin\theta =\dfrac{p}{h} \\$

$\sf\longrightarrow cos\theta =\dfrac{b}{h}$

And by Pythagoras theorem ,

$\sf\longrightarrow h^2 = p^2+b^2 \dots (i)$

Where the symbols have their usual meaning.

Now , taking LHS ,

$\sf\longrightarrow sin^2\theta +cos^2\theta$

Substituting the respective values,

$\sf\longrightarrow \bigg(\dfrac{p}{h}\bigg)^2+\bigg(\dfrac{b}{h}\bigg)^2\\$

$\sf\longrightarrow \dfrac{p^2}{h^2}+\dfrac{b^2}{h^2}\\$

$\sf\longrightarrow \dfrac{p^2+b^2}{h^2}$

From equation (i) ,

$\sf\longrightarrow\cancel{ \dfrac{h^2}{h^2}}\\$

$\sf\longrightarrow \bf 1 = RHS$

Since LHS = RHS ,

Hence Proved !

I hope this helps.

5 0

1 year ago