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3 years ago

4 - 3x ----------- = 5 2

Mathematics

2 answers:

jok3333 [9.3K]3 years ago

7 0

You have to solve by doing the opposite of what is there. Check out my work.

enot [183]3 years ago

4 0

Hi there,

I'll solve your equation step-by-step.

 4 − 3x
---------- =5
2

Step 1: Multiply both sides by 2.

 4 − 3x
---------- =5 × (2) = (5) × (2)
2

4 - 3x =10

Step 2: Simplify both sides of the equation.
−3x + 4 = 10

Step 3: Subtract 4 from both sides.−3x + 4 − 4= 10 − 4−3x = 6

Step 4: Divide both sides by -3.

 −3x 6
------- = ------
 −3 -3

x= -2

Answer:
x= -2

Hope this helps! Sorry this took a little long.

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2 years ago

Let sin(−θ)=−3/5 and tanθ>0. What is the value of cos(−θ)?

Jobisdone [24]

Answer:

The value of Cos (-Ф) $\dfrac{\textrm 4}{\textrm 5}$ .

Step-by-step explanation:

Given Trigonometric function as :

sin( - Ф ) = $\frac{- 3}{5}$

- sin Ф = $\frac{- 3}{5}$

So, sin Ф = $\frac{ 3}{5}$

Now, as sin Ф = $\dfrac{\textrm perpendicular}{\textrm hypotenuse}$

So , $\dfrac{\textrm perpendicular}{\textrm hypotenuse}$ = $\frac{ 3}{5}$

So, perpendicular = 3

And hypotenuse = 5

Now, From Pythagoras Theorem

Base ² = Hypotenuse² - Perpendicular²

Or, Base ² = 5² - 3²

Or, Base ² = 25 - 9

Or, Base ² = 16

∴ Base = $\sqrt{16}$

I.e Base = 4

Now, Cos Ф = $\dfrac{\textrm base}{\textrm hypotenuse}$

So, Cos Ф = $\dfrac{\textrm 4}{\textrm 5}$

Now , Since

Cos ( - Ф ) = Cos Ф

So, Cos ( - Ф ) = Cos Ф = $\dfrac{\textrm 4}{\textrm 5}$

Hence The value of Cos (-Ф) $\dfrac{\textrm 4}{\textrm 5}$ . Answer

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3 years ago

Which graph represents y=1/2x+2 please help!!

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Answer:

Step-by-step explanation:

Let’s first look at the y-intercept. Since the equation is in y = mx + b form, we know that m is the slope and b is the y-intercept, so the slope is 1/2 and the y-intercept is 2, or (0,2). We can narrow down our search by noticing that C and D don’t intersect (0,2). That leaves A and B.

The slope is calculated by (y_1 - y_2)/(x_1 - x_2) given points (x_1, y_1) and (x_2, y_2). The slope for A is (4-0)/(2-(-2)) = 4/4 = 1 and the slope for B is (2-0)/(0-(-4)) = 2/4 = 1/2. The slope of B matches the slope that we are looking for. So, the answer is B.

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Hope this helped! :)

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3 years ago