All categories

3 years ago

What is 2(u+3v). ................

Mathematics

2 answers:

sergeinik [125]3 years ago

6 0

Answer:

2(u+3v)

2 times u is 2u and then 2 times 3v is 6v.

2u+6v

sergij07 [2.7K]3 years ago

5 0

Equation = 2(u+3v)

Simplify to 2u + 6v

You might be interested in

The sum of 4 consecutive integers is 354. What is the second number in this sequence?

Ulleksa [173]

354 / 4 = 88.5

so2 numbers below that and 2 numbers above that:

87 + 88 + 89 +90 =

2nd number is 88

8 0

3 years ago

Evaluate exactly without the use of a calculator (remember to rationalize any denominators). a.(cos 60o)(sin 270o) + tan 225o b.

Rom4ik [11]

Given:

The trigonometric expressions are given as,

$\begin{gathered} a)\text{ }(\cos 60\degree)(\sin 270\degree)+\tan 225\degree \\ b)-\tan 240\degree+(cos45\degree)(\sec 135\degree) \end{gathered}$

Explanation:

The given expression can be rewritten as,

$=(\cos 60\degree)(\sin (360\degree-90\degree))+\tan (270\degree-45\degree)\text{ . . . . .(1)}$

Since, from the trigonometric ratios,

$\begin{gathered} \sin (360\degree-90\degree)=-\sin 90\degree \\ \tan (270\degree-45\degree)=\cot 45\degree \end{gathered}$

On plugging the obtained ratios in equation (1),

$=(\cos 60\degree)(-\sin 90\degree)+\cot 45$

Substitute the trigonometric values in the above equation.

$\begin{gathered} =\frac{1}{2}(-1)+1 \\ =-\frac{1}{2}+1 \\ =\frac{1}{2} \end{gathered}$

Hence, the exact value of the expression is 1/2.

The given expression can be rewritten as,

$=-\tan (270\degree-30\degree)+(\cos 45\degree)(\sec (90\degree+45\degree))\text{ . . . ..(2)}$

Since, from the trigonometric ratios,

$\begin{gathered} \tan (270\degree-30\degree)=\cot 30\degree \\ \sec (90\degree+45\degree)=-\csc 45\degree \end{gathered}$

On plugging the obtained ratios in equation (2),

$=-\cot 30\degree+(\cos 45\degree)(-\csc 45)$

Substitute the trigonometric values in the above equation.

$\begin{gathered} =-\sqrt[]{3}+\frac{1}{\sqrt[]{2}}(-\sqrt[]{2}) \\ =-\sqrt[]{3}-1 \end{gathered}$

Hence, the exact value of the expression is -√3-1.

7 0

2 years ago

A rectangle has a length of 5r - 6 and a width of 2r + 3. Find the area.

Wittaler [7]

Answer:

$10r^2+3r-18$ sq. units

Step-by-step explanation:

The area of a rectangle is its length multiplied by its width, so in this case:

$A=(5r-6)(2r+3)$

We can solve this using the distributive property to expand the right side, and then combine like terms to simplify:

$(5r-6)(2r+3)=\\=2r(5r-6)+3(5r-6)\\=10r^2-12r+15r-18\\=10r^2+3r-18$

3 0

3 years ago

The ratio of the area to the circumference is A. 2r B.r/2 C. 2/r

weqwewe [10]

It's nothing because e=mc^2

4 0

3 years ago

Read 2 more answers

(752+158)-625 Compute in most convenient way

cestrela7 [59]

Answer:

285

Step-by-step explanation:

First, you would add 752 and 158. The sum is 910. Then, you subtract 625 and get 285.

5 0

3 years ago

What is 2(u+3v). ................​

What is 2(u+3v). ................