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3 years ago

What is the rate of change of y with the respect of x for 25x-4y=50

Mathematics

1 answer:

OLga [1]3 years ago

8 0

Answer:

25/4

Step-by-step explanation:

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find the coordinates of point Z that splits the segment XY located 3/7 of the way between X(-2,1) and Y(4,5)

Drupady [299]

Answer:

Z(-0.2, 2.2).

Step-by-step explanation:

We will use section formula when a point, say P, divides any segment ,say AB, internally in the ratio m:n.

$[x=\frac{mx_2+nx_1}{m+n}, y= \frac{my_2+ny_1}{m+n}]$

We have been given the points of segment XY as X at (-2,1) and Y at (4,5) and ratio is 3:7.

$(x_1, y_1)=(-2,1)$

$(x_2, y_2)=(4,5)$

$m:n=3:7$

Upon substituting coordinates of our given points in section formula we will get,

$[x=\frac{(3*4)+(7*-2)}{3+7}, y= \frac{3*5+7*1}{3+7}]$

$[x=\frac{12-14}{10}, y= \frac{15+7}{10}]$

$[x=\frac{-2}{10}, y= \frac{22}{10}]$

$[x=-0.2, y= 2.2]$

Therefore, coordinates of point Z will be (-0.2, 2.2).

7 0

3 years ago

A programmer wants to display how the shape of a rectangle with a fixed perimeter of 300 inches can be changed by varying the re

stiv31 [10]

If the rectangle has a fixed width of 300, it means that

$2(l+w)=300 \iff l+w=150 \iff w=150-l$

where $w$ and $l$ are width and length, respetively.

So given the length $l$ , the are would be

$l\times w = l\times (150-l)=-l^2+150l$

7 0

4 years ago

Which expression is equivalent to<br> Xy2/9

tatyana61 [14]

Answer:

x(^9 radicand y^2)

Last option

8 0

3 years ago

I need help -6x > 30

Debora [2.8K]

Answer:

×< -5

Step-by-step explanation:

-6x>30 reverse the sign

x< -5

7 0

3 years ago

A local school needs to paint the floor of its theater room, where the length of the floor, x, is at least 12 feet. The width of

Fittoniya [83]

Answer:A=x(x-4)-0.5(6)(x-4)-2(7)

Step-by-step explanation:

A=x(x-4)-(0.5(6)(x-4) + 2(7))

A=x(x-4)-0.5(6)(x-4)-2(7)

4 0

3 years ago