All categories

2 years ago

Is it true that M is perpendicular to P?

Mathematics

1 answer:

saveliy_v [14]2 years ago

6 0

yes it is true and second is false

You might be interested in

Write the fraction in simplest form of 6/20.

nikklg [1K]

$\dfrac{6}{20}=\dfrac{6:2}{20:2}=\dfrac{3}{10}$

8 0

2 years ago

Pani says she should get $3 discount on the price of each shirt and a $3 discount on the price of each pair of jeans. Write and

PilotLPTM [1.2K]

Answer:

(S - 3) + (X - 3) = B

Step-by-step explanation:

S = amount of shirts

X = amount of jeans

B = total amount she would pay

(S - 3) + (X - 3) = B

5 0

2 years ago

5 4/8 + 1 3/8 =<br> 1. 33/8<br> 2. 55/8<br> 3. 6 7/16

Dovator [93]

Answer: 2. 55/8

Step-by-step explanation: Add the whole numbers first (5+1 = 6), then add the fractions (4/8 + 3/8 = 7/8). Now we have 6 7/8 and since they want the answer in fraction form we will multiply the 6 and the 8 (6x8=48) and then add the 7 to the 48 (7+48 =55) and we leave our answer over the denominator which is 8. This leaves us with the final answer of 55/8

4 0

1 year ago

Find the extreme values of f(x y)=xy subject to the constraint x^2 + y^2 -4 = 0

KATRIN_1 [288]

Via Lagrange multipliers:

$L(x,y,\lambda)=xy+\lambda(x^2+y^2-4)$

$L_x=y+2\lambda x=0$
$L_y=x+2\lambda y=0$
$L_\lambda=x^2+y^2-4=0$

$yL_x=y^2+2\lambda xy=0$
$xL_y=x^2+2\lambda xy=0$
$\implies yL_x-xL_y=y^2-x^2=0\implies y^2=x^2$
$\implies x^2+y^2=4=2x^2\implies x^2=2\implies x=\pm\sqrt2\implies y=\pm\sqrt2$

So we have four critical points to consider, $(\sqrt2,\sqrt2),(-\sqrt2,\sqrt2),(\sqrt2,-\sqrt2),(-\sqrt2,-\sqrt2)$ . If both coordinates are positive or both are negative, we get a maximum value of $(\pm\sqrt2)^2=2$ ; otherwise, we get a minimum of $(-\sqrt2)(\sqrt2)=-2$ .

4 0

2 years ago

If f(x) = 2x - 6 and g(x) = 3x + 9, find (f - g)(x).

Shalnov [3]

The answer will be C

3 0

2 years ago