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3 years ago

Please help ASAP thank you !!!

Mathematics

1 answer:

Papessa [141]3 years ago

8 0

Answer:

y=3/2x -3 and y = 3/2x+3

Step-by-step explanation:

for two lines to be parallel, their slopes must be equal.

To find the slope of 3x-2y=8 we have to rearrange it to slope-intercept form.

-2y=8-3x

y=-4+3/2x

y = 3/2x - 4

the slope is 3/2. We have to select equations with the same slope.

y=3/2x -3

and y = 3/2x+3

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A flagpole has a height of 10 yards. It will be supported by 3 cables, each of which is attached to the flagpole at a point 4 ya

Contact [7]

Pytagorean theorem

height10
attached at 10-4=6 yards from bottom
8 yards from base to away

a^2+b^2=c^2
a and b are side legnths and c=hypotonuse
so therfore we are given a and b and we must solve for c

so
6=height
8=base

6^2+8^2=c^2
36+64=c^2
100=c^2
square root
10=c

so therfor the legnth of each cable is 10 yards
3 cables so 3 times 10=30

30 yards needed

7 0

3 years ago

Can u please help me ??

Burka [1]

Answer:

Please post a more clear pictah.

Step-by-step explanation:

3 0

3 years ago

Help me help me this is due tomorrow I’m scared!!!

djverab [1.8K]

These questions are all of the same type: division. They ask to find how many of a number can fit in another number.

As for question 5, there are 42 pounds of dog food, and $\frac{7}{8}$ pound of dog food is used for each feeding. To find the number of times Mr. Lash can feed his animals, divide 42 by $\frac{7}{8}$ . The answer is 48.

Solving the rest of the questions by this method, here are the answers. If you wish you can do them yourself to verify your understanding.

6) 12

7) 4

8) 8

9) 2

Note: in question 9, the question is in reverse order compared to the other questions.

4 0

3 years ago

Which are examples of statistical questions?

lesya692 [45]

Answer:

question 2 & 4........

5 0

3 years ago

Read 2 more answers

(a) Show that a differentiable function f decreases most rapidly at x in the direction opposite the gradient vector, that is, in

Sophie [7]

Answer:

Step-by-step explanation:

$\text{Show that a differentiable function f decreases most rapidly at x in the }$

$\text{direction opposite the gradient vector, that is, in the direction of}$ $-\bigtriangledown f(x)$ $\text{. Let}\ \theta \ \text{be the angle between} \bigtriangledown f(x) \ \text{and unit vector u. Then } D_u f = \mathbf{|\bigtriangledown f| \ cos \ \theta }}$

$\text{Since the minimum value of} \ \ \mathbf{cos \ \theta} \ \ is \mathbf{-1} \ \text{occuring \ for \ 0} \le \ \theta \ < 2x, \\ \\ when \ \theta = \mathbf{\pi} , \text{the mnimum value of} \ D_uf \ is} -|\bigtriangledown f|, \text{occuring when the direction of u is } \\ \\ \ \mathbf{the \ opposite \ of} \ \text{the direction of } \ \bigtriangledown f (assuming \ \bigtriangledown f\ is \ not \ zero)$

b) $\text{From part A:}$

$If \ f(x,y) = x^4y -x^2y^2 \ \ decreases \ fastest \ at \ the \point \ (2,-5)\\ \\ F(x,y) = x^4y -x^2y^3 \\ \\ f_x = \dfrac{df}{dx}= \dfrac{d}{dx}(x^4y-x^2y^3) \\ \\ f_x = \dfrac{df}{dx}= y4x^3 -2y^3x \\ \\ For(2,-5) \\ \\ f_x = (-5)4(2)^3 -2(-5)^3(2) \\ \\ \mathbf{ f_x = 340}$

$However; f_y = \dfrac{df}{dy} = \dfrac{d}{dy}(x^4y - x^2y^3) \\ \\ f_y = x^4 -3x^2y^2 \\ \\ Now, for (2, -5)\\ \\f_y = (2)^4 -3(2)^2(-5)^2 \\ \\ f_y = -284$

$So; \bigtriangledown = < 340,-284> \text{this is the direction of fastest decrease}$

6 0

3 years ago