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4 years ago

SIMPLIFY THIS EXPRESSION: 2(z + 3) + 3(5 - 3z)

Mathematics

1 answer:

quester [9]4 years ago

6 0

2z+6+15-9z
-7z+21

Hope this helps

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Need help ASAP with the correct answer

Ymorist [56]

F = 2t - 3
f = 2(7) - 3
f = 14 - 3
f = 11

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3 years ago

Prove the trigonometric identity

Annette [7]

Answer:

Proved See below

Step-by-step explanation:

Man this one is a world of its own :D Just a quick question are you a fellow Add Math student in O levels i remember this question from back in the day :D Anyhow Lets get started

For this question we need to know the following identities:

$1+tan^{2}x=sec^2x\\\\1+cot^2x=cosec^2x\\\\sin^2x+cos^2x=1$

Lets solve the bottom most part first:

$1-\frac{1}{1-sec^2x} \\\\$

Take LCM

$1-\frac{1}{1-sec^2x} \\\\\frac{1-sec^2x-1}{1-sec^2x} \\\\\frac{-sec^2x}{1-sec^2x} \\\\\frac{-(1+tan^2x)}{-tan^2x}$

now break the LCM

$\frac{-1}{-tan^2x}+\frac{-tan^2x}{-tan^2x}\\\\\frac{1}{tan^2x}+1\\\\cot^2x+1$

because 1/tan = cot x

and furthermore,

$cot^2x+1\\cosec^2x$

now we solve the above part and replace the bottom most part that we solved with $cosec^2x$

$\frac{1}{1-\frac{1}{cosec^2x} } \\\\\frac{1}{1-sin^2x} \\\\\frac{1}{cos^2x}\\\\sec^2x$

Hence proved! :D

4 0

3 years ago

Use the diagram shown to answer the questions.

romanna [79]

Answer:

Step-by-step explanation:

First drop the line.

How many units is it from Point r to the x axis?

12.

How many units is it from Point r to the y axis?

Now we can use the Pythagorean Theorem.

$12^2+5^2=c^2 \\ \\ 144+25=c^2 \\ \\ c^2=169 \\ \\ c=13$

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3 years ago

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Help me pleaseeeeeee

iogann1982 [59]

You start by finding two points on the line. In this case, (-4,1) and (-2,2) will do.

To get from (-4,1) to (-2,2), you need to go “up 1, right 2” which gives you a slope of m = 1/2

Next you need the b-value, which comes from the y-intercept of (0,3). The b-value is 3.

Putting the slope and b-value into y=mx+b, you have y = 1/2 x + 3.

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3 years ago

How do you know whether two quantities x and y are proportional?

ANEK [815]

Answer:

I'm pretty sure it is (a)

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3 years ago

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