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3 years ago

Pls solve both and show ur answers :))

Mathematics

2 answers:

yawa3891 [41]3 years ago

6 0

Number 3 is x=5 and number 4 is x=63

slavikrds [6]3 years ago

4 0

3. x=-5
4. x=56
and you just multiply for four and divide for three

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Solve<br>4(2x - 3) = 6x + 2

vaieri [72.5K]

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4(2x - 3) = 6x + 2

Expand it:

8x - 12 = 6x + 2

+ 12 to both sides

8x = 6x + 14

- 6x from both sides

2x = 14

Divide both sides by 2:

x = 7

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4 0

3 years ago

The volume of a box (v) varies directly with its length (l) if one of the boxes has a volume of 325 cubic inches and a length of

stiks02 [169]

Answer:

The constant of proportionality for the group of boxes is: 25

Step-by-step explanation:

Proportion means that change in one quantity causes change in other quantity. Direct variation means that increase in one quantity causes increase in the other quantity.

Let l be the length and v be the volume

Then according to given statement

V∝l

Removing the proportionality symbol introduces a constant in the equation

$V = kl$

Putting V = 325 and l = 13

$325 =k(13)\\k = \frac{325}{13}\\k = 25$

Hence,

The constant of proportionality for the group of boxes is: 25

5 0

3 years ago

Pleaseeeee pleaseeee helppppppppp

telo118 [61]

Given:

The two vectors are:

$\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}$

$\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}$

To find:

The value of $|\overrightarrow{a}\times \overrightarrow{b}|$ .

Solution:

We have,

$\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}$

$\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}$

The cross product of these two vectors is:

$\overrightarrow{a}\times \overrightarrow{b}=\begin{vmatrix}\hat{i}&\hat{j}&\hat{k}\\2&-1&1\\1&-3&5\end{vmatrix}$

$\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[(-1)(5)-(1)(-3)]-\hat{j}[(2)(5)-(1)(1)]+\hat{k}[(2)(-3)-(-1)(1)]$

$\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[-5+3]-\hat{j}[10-1]+\hat{k}[-6+1]$

$\overrightarrow{a}\times \overrightarrow{b}=-2\hat{i}-9\hat{j}-5\hat{k}$

Now the magnitude of the cross product is:

$|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{(-2)^2+(-9)^2+(-5)^2}$

$|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{4+81+25}$

$|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{110}$

Therefore, the value of $|\overrightarrow{a}\times \overrightarrow{b}|$ is $\sqrt{110}$ .

5 0

3 years ago

Please help this is due today!

Temka [501]

Answer:

For ABC A= (-3,3) B= (0.2) and C= (-3,1)

For DFE D= (0,6) F= (2,6) and E= (2,3)

Step-by-step explanation:

I believe tha name of a sequence of transformation will be translation and the Reflection

Hope this Helped

4 0

3 years ago

Which system of equations can be graphed to find the soultion(s) to x^2=2x+3

Elanso [62]

Answer:

$\left \{ {{y=x^2} \atop {y=2x+3}} \right.$

Step-by-step explanation:

The system would be:

$\left \{ {{y=x^2} \atop {y=2x+3}} \right.$

And I attached the graph. The system will have 2 solution (The 2 intercepts between the curves)

3 0

4 years ago