Simplify 3j - {2k - [5h - (3j + k)]

Step-by-step explanation:

Answer:

\frac{7}{4}

4

7

Explanation:

______________________

We know the values of

i) cos0° = 1

ii) sin45° = \frac{1}{\sqrt{2}}

2

1

iii) sin30° = \frac{1}{2}

2

1

iv) sin90° = 0

v) cos45° = \frac{1}{\sqrt{2}}

2

1

vi ) cos60° = \frac{1}{2}

2

1

_____________________

Now,

The value of

(cos 0+sin 45+sin 30)(sin 90-cos 45+cos 60)

= \left(1+\frac{1}{\sqrt{2}}+\frac{1}{2}\right)\left(1-\frac{1}{\sqrt{2}}+\frac{1}{2}\right)(1+

2

1

+

2

1

)(1−

2

1

+

2

1

)

= \left(\frac{3}{2}+\frac{1}{\sqrt{2}}\right)\left(\frac{3}{2}-\frac{1}{\sqrt{2}}\right)(

2

3

+

2

1

)(

2

3

−

2

1

)

= \left(\frac{3}{2}\right)^{2}-\left(\frac{1}{\sqrt{2}}\right)^{2}(

2

3

)

2

−(

2

1

)

2

/* By algebraic identity

(a-b)(a+b) = a²-b² */

= \left( \frac{9}{4}-\frac{1}{2}\right)(

4

9

−

2

1

)

= \frac{9-2}{4}

4

9−2

= \frac{7}{4}

4

7

••••

Answer:

Step-by-step explanation:

The given data is

Where is the slope of the line and is the y-intercept. So, basically this line has a slope of -2 and y-intercept at 4.

To find its equation, we use the slope-interception form

Then, we replace each given value

Therefore, the equation for the given line is

Hi

We need to solve 3x-7=2 for x

Let's start by adding 7 to both sides

3x-7+7=2+7

3x=9

Now just divide both sides by 3 so we can find the value for x

3x/3=9/3

x=3

Now substitute 3 for x in 4x-y=5 so we can find the value for y

4x-7=5

4(3)-y=5

-y+12=5

Add -12

-y+12-12=5-12

-y=-7

Now divide both sides by -1 so we can find the positive value for y

-y/-1=-7/-1

y=7

The answer is A

(3,7)

Good luck:0