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3 years ago

Please help explanation if possible

Mathematics

2 answers:

katrin [286]3 years ago

5 0

Answer:

Jordans' age = 31 ; Anna's age = 19

Step-by-step explanation:

Given the 2 equations relating their ages

J + A = 50 → (1)

J = 12 + A → (2)

Substitute J = 12 + A into (1)

12 + A + A = 50

12 + 2A = 50 ( subtract 12 from both sides )

2A = 38 ( divide both sides by 2 )

A = 19

Substitute A = 19 into (2)

J = 12 + 19 = 31

Then Jordans' age = 31 ; Anna's age = 19

ch4aika [34]3 years ago

4 0

Answer:

Step-by-step explanation:

J = 12 + A equation 1

J + A = 50 equation 2

Solving equation 2

J + A = 50

A = 50 - J equation 3

Putting value of A in equation 1

J = 12 + A

J = 12 + 50 - J

Bringing like terms on one side

J + J = 12 + 50

2J = 62

J = 62/2 = 31

Putting value of J in equation 3

A = 50 - J

A = 50 - 31 = 19

Checking answer by putting values in equation 2

J + A = 50

31 + 19 = 50

50 = 50

So the age of Jordan is 31 and Anna is 19

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find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B

SashulF [63]

Answer:

$\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190$

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately $\theta \approx 48$

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

$a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10$

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

$|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3$

$|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5$

And finally we can calculate the angle between the vectors like this:

$cos \theta = \frac{ab}{|a| |b|}$

And the angle is given by:

$\theta = cos^{-1} (\frac{ab}{|a| |b|})$

If we replace we got:

$\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190$

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately $\theta \approx 48$

3 0

3 years ago

4x + 5x + 12 = 6(x-2) Math

Rashid [163]

Hi there! :)

$\large\boxed{x = -8}$

4x + 5x + 12 = 6(x - 2)

Combine like terms and distribute the coefficient outside of the parenthesis:

9x + 12 = 6(x) + 6(-2)

9x + 12 = 6x - 12

Subtract 6x from both sides:

9x - 6x + 12 = 6x - 6x - 12

3x + 12 = -12

Subtract 12 from both sides:

3x + 12 - 12 = -12 - 12

3x = -24

Divide both sides by 3:

3x/3 = -24/3

x = -8.

4 0

3 years ago

point "b" has coordinates of -2,-5 after a translation 4 units down a reflection across the y axisand a translation 6 units up w

monitta

Point b would be at 2,-3

5 0

4 years ago

What is 13x -4+100=180

Naddika [18.5K]

Answer: x = 6.46153846

Step-by-step explanation:

We are given the equation 13x - 4 +100 = 180, and we must find the value of x. In order to do that get x on on one side by itself and a constant on the other side by itself.

This first step is to combine like terms. 13x is by itself. -4 + 100 = 96. This gives us the equation 13x +96 = 180.

In order to get x by itself, subtract 96 from each side of the equation. This gives us the equation 13x = 84.

Next, divide each side by 13 to find x. This gives us x = 6.46153846

$13x - 4 +100=180$