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2 years ago

How would you write the equation with a slope of 2/3 and a y-intercept of -3

Mathematics

1 answer:

vovangra [49]2 years ago

6 0

Answer:

y=2/3x-3

Step-by-step explanation:

using y=mx+c

since the intercept is negative,it affects the positive sign

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Prove that sinxtanx=1/cosx - cosx

maks197457 [2]

Answer:

See below

Step-by-step explanation:

We want to prove that

$\sin(x)\tan(x) = \dfrac{1}{\cos(x)} - \cos(x), \forall x \in\mathbb{R}$

Taking the RHS, note

$\dfrac{1}{\cos(x)} - \cos(x) = \dfrac{1}{\cos(x)} - \dfrac{\cos(x) \cos(x)}{\cos(x)} = \dfrac{1-\cos^2(x)}{\cos(x)}$

Remember that

$\sin^2(x) + \cos^2(x) =1 \implies 1- \cos^2(x) =\sin^2(x)$

Therefore,

$\dfrac{1-\cos^2(x)}{\cos(x)} = \dfrac{\sin^2(x)}{\cos(x)} = \dfrac{\sin(x)\sin(x)}{\cos(x)}$

Once

$\dfrac{\sin(x)}{\cos(x)} = \tan(x)$

Then,

$\dfrac{\sin(x)\sin(x)}{\cos(x)} = \sin(x)\tan(x)$

Hence, it is proved

5 0

2 years ago

What is the answer for this

ella [17]

Answer:

Grids b and c have 25% shaded

Step-by-step explanation:

a) shaded = 5/16 = 31.25%

b) shaded = 4/16 = 25%

c) shaded = 5/20 = 25%

d) shaded = 3/10 = 30%

5 0

2 years ago

Read 2 more answers

3+2/3(3-x)<-7 please help I am stuck

asambeis [7]

Solve the problem then state if it's true or false- this is an order of operation problem. 3+2/3(3-X) this is the problem. Now distribute, 3+ 2/3(3)- 2/3(x)= 3+2- 2/3x so the final expression would be 5-2/3x I don't know about the <-7 part but that's the solution to the first one

8 0

2 years ago

What is 36% of 745? Show work

kogti [31]

745/x=100/36
(745/x)*x=(100/36)*x
745=2.7777777777778*x
(2.7777777777778) to get x
745/2.7777777777778=x 
268.2=x 
x=268.2

answer 36% of 745=268.2

8 0

2 years ago

A sweatshirt is $67.50, if

lesya692 [45]

Answer:

a. $3.36

b. $70.86

Step-by-step explanation:

5% of $67.50 is $3.36

$67.50 + $3.36 = $70.86

4 0

2 years ago

Read 2 more answers