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2 years ago

Sketch a graph of the function f(x)=x+3

Mathematics

1 answer:

kap26 [50]2 years ago

6 0

Slope:1
Y-Intercept:3

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Peter waters his lawn every 4 days. Amy waters her lawn every 3 days and Mark waters his lawn every 6 days. If they are all wate

ch4aika [34]

Answer:

A) 12th day

Step-by-step explanation:

Firn the lcm of 3, 4 and 6

This is 12

So it is a)12 day

6 0

1 year ago

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If tanA+sinA=m and tanA-sinA=n.prove that m^2-n^2=4√mn

mash [69]

Let $a=\tan A$ and $b=\sin A$ . Then

$m^2-n^2=(a+b)^2-(a-b)^2=(a^2+2ab+b^2)-(a^2-2ab+b^2)=4ab$

$\implies m^2-n^2=4\tan A\sin A$

and

$mn=(a+b)(a-b)=a^2-b^2$

$\implies4\sqrt{mn}=4\sqrt{\tan^2A-\sin^2A}$

The expression under the square root can be rewritten as

$\tan^2A-\sin^2A=\dfrac{\sin^2A}{\cos^2A}-\sin^2A=\sin^2A\left(\dfrac1{\cos^2A}-1\right)=\sin^2A(\sec^2A-1)$

Recall that

$\sin^2A+\cos^2A=1\implies\tan^2A+1=\sec^2A$

so that

$\tan^2A-\sin^2A=\sin^2A\tan^2A$

and assuming $\sin A>0$ and $\tan A>0$ , we end up with

$4\sqrt{\tan^2A-\sin^2A}=4\tan A\sin A$

so that

$m^2-n^2=4\sqrt{mn}$

as required.

5 0

2 years ago

DOES ANYONE KNOW THIS?? PLEASE HELP ME ON MY GEOMETRY

Damm [24]

Step-by-step explanation:

Arrow JK=360-54-130-110=66

arrow MK=66+54=120

Angle L=120/2=60

3a=60

a=30

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2 years ago

Suppose you are doing a study on the wealth of the population in your town. You take a random survey of 100 people. Which would

Angelina_Jolie [31]

Answer:

D) The total number of people in the population.

Step-by-step explanation:

The answer is D) The total number of people in the population. because it is a quantitative data measurement. All other options, Age, Gender and Education are qaualitative measures, which are aligned with the Objective of the study, Wealth - A qualitative measure too!

4 0

2 years ago

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Please help me find domain/ range and equation

Ivanshal [37]

Answer:

The domain is the x axis from - 10 to 10 horizontal and the range is the y axis - 10 to 10 vertical

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2 years ago

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