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Oksanka [162]
3 years ago
5

Need help converting an equation to intercept form...

Mathematics
1 answer:
pickupchik [31]3 years ago
6 0
<span>y = <span>x2 </span>+ 5x + 36
y = (<span>x2 </span>− 5x − 36)</span> <span>y = (<span>x2 </span>− 9x + 4x − 36)</span> <span>y = [x (x − 9) + 4 (x − 9)]</span> <span>y = (x − 9)(x + 4)</span>
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you draw two marbles without replacement from a bag containing four red marbles, two Yellow Marbles and five blue marbles, find
AleksAgata [21]

A bag contains four red marbles, two Yellow Marbles and five blue marbles.

Two marbles are drawn at random without replacement.

Total number of marbles are,

4\text{ + 2 + 5 = 11}

There are 11 ways to select first marble and 10 ways to select second marble.

The total number of possible outcomes are calculated as,

Total\text{ number of outcomes = 11 }\times\text{ 10 = 110 }

Thus the total number of possible outcomes are 110.

7 0
1 year ago
How do you calculate 15-(37+8)÷3
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3 years ago
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Prove :<br>sin²θ + cos²θ = 1<br><br><br>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
2 years ago
WILL MARK YOU BRAINLIEST
spayn [35]
I34 hope that helps
4 0
3 years ago
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