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Compute the differential for both sides:

4y - 3xy + 8x = 0

→   4 dy - 3 (y dx + x dy) + 8 dx = 0

Solve for dy :

4 dy - 3y dx - 3x dy + 8 dx = 0

(4 - 3x) dy + (8 - 3y) dx = 0

When x = 0, we have

4y - 3•0y + 8•0 = 0   →   4y = 0   →   y = 0

and with dx = 0.05, we get

(4 - 3•0) dy + (8 - 3•0) • 0.05 = 0

→   4 dy + 0.4 = 0

→   4 dy = -0.4

→   dy = -0.1

Answer: J 36, Total: 60 animals

Step-by-step explanation:

24/36 divided by 12=2/3

Total:24+36=60

Answer: hope it helps

Step-by-step explanation:The balloon will not reach 2,500 feet after 4 minutes.

Step-by-step explanation:

The equation of the line in the point-slope form is

A hot air balloon in flight begins to ascend at a steady rate of 120 feet per minute, then the slope is

After  minutes, the balloon is at an altitude of  feet. This means, the line passes through the point (1.5, 2,150).

Substitute the slope and point coordinates into the equation:

We know that after 3 minutes, the balloon is at an altitude of 2,330 feet. Check this:

Now, find the height after 4 minutes:

Thus, the balloon will reach only 2,450 feet after 4 minutes.

Answer:

The least common denominator is 30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

the least common multiple ( L.C.M ) of 6 and 10 = 30

Answer:

9

Step-by-step explanation:

the decimal always goes between the numbers that arent 0s

Answer:

it’s 9 because i don’t know I just saw someone else say that

Step-by-step explanation:

9514 1404 393

Answer:

  the lines are perpendicular

Step-by-step explanation:

When both equations are written in standard form, they are ...

  y -3x = 5

  3y +x = 2

The coefficients in one of these equations are swapped, and one is negated, relative to the coefficients in the other equation. This means the lines are perpendicular (their slopes are opposite reciprocals).

A graph confirms this relationship.

Answer:

C. a=12ft, b=12ft

Step-by-step explanation:

This is a 45*-45*-90* triangle

"a" and "b" are the same

and the hypotenuse (which is 12 square roots of 2) is square root of 2 times as long as each leg.

so the answer must be:

a = 12ft, b = 12ft

Answer:

The answer is 45 degree.

Answer:

why the negitives

Step-by-step explanation:

in in secod grad

Answer: -8xf-16xg

Step-by-step explanation:

Answer: the second option

Step-by-step explanation:

look at on a coordinate plane going left is decreasing ( negative) and he is already at 8,-5 so you add 5 to 8 to get 13 as the first coordinate add 11 to -5 and you'll get 6 therefore the coordinates are (13,6)

Answer:

use the slope formula: (y2-y1)/(x2-x1) and then plug in the points given

(2-7)/(12-5)

-5/7

the slope is the last one or "D"

Step-by-step explanation:

Answer:

5 inch

Step-by-step explanation:

so its 3/4 per hour, so multiply it by 4 (since it had been burning for 4 hours) and that is 3 inches. 8-3 is 5, so 5 inches

Answer:

im sorry this is confusing

Step-by-step explanation:

Answer: 2,1 4,1 5,7 and yeah im not sure what else to put

poggers hehe

Answer:

480 units^2

Step-by-step explanation:

5 * 12 =  60

13 * 14 = 182

12 *14 =  168

5 * 14 =  70

            480

The surface area of the given prism will be 480 square units so the correct answer is option C.

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

The triangular prism is having 6 surfaces so the surface area will be the sum of the area of all the sides of the prism.

The area of all the sides of the prism will be calculated as follows:-

5  x 12 =  60

13 x  14 = 182

12 x 14 =  168

5  x  14 =  70

The total surface area of the prims will be:-

SA of prism = 60 + 182 + 168 + 70 = 480 square units

Therefore the surface area of the given prism will be 480 square units so the correct answer is option C.

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Answer:

Step-by-step explanation:

Given:

ToFind:

Solution:

ATQ,

As we know that,

[tex]\implies\:\:x = \dfrac{mx_{2} + nx_{1}}{m + n}[/tex]

[tex]\implies\:\:x = \dfrac{(a-b)3 + (a+b)2}{3+2}[/tex]

[tex]\implies\:\:x = \dfrac{3a - 3b + 2a + 2b}{5}[/tex]

[tex]\implies\:\:\red{x = \dfrac{5a - b}{5}}[/tex]

Similarly,

[tex]\implies\:\:y = \dfrac{my_{2}+ny_{1}}{m+n}[/tex]

[tex]\implies\:\:y = \dfrac{(a+b)3+(a-b)2}{3+2}[/tex]

[tex]\implies\:\:y = \dfrac{3a+3b+2a-2b}{5}[/tex]

[tex]\implies\:\:\red{y = \dfrac{5a+b}{5}}[/tex]

Hence,

Coordinate of 0 is [tex]\blue{\bigg( \dfrac{5a-b}{5},\:\dfrac{5a+b}{5}\bigg)}[/tex]

Answer:

(3,12)

Step-by-step explanation:

I believe that's right

I'm sorry if not

Answer:

angle 3 is 100 and 4 is 80

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

you have 12 dollars left. divided by 4, is 3 hours

Answer:

18 ft

Step-by-step explanation:

Both triangles shown are congruent.

By the concept of transversal lines and vertically opposite angles, we conclude that the width of the sinkhole is 18 feet.

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

We know when a transversal intersects a parallel line vertically opposite angles are equal and we also know that sides opposite to similar angles have the same length.

∴ The width of the sinkhole is also 18 feet.

learn more about transversal here :

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Answer:

A. E = 20H

B. $380

Step-by-step explanation:

E = 20(19) since she worked 19 hrs. This equals 380

Answer:

400 pages in total

Step-by-step explanation:

60 = 15% (2)

120/3 = 30%/3

40= 10%(10)

400=100%

I'm bad at explaining

Answer:

100 answer

follow me for more best answer

It equals 100

Could I have branliest, heart with 5 stars

Thanks and have a merry Christmas!

Answer:

The shopper should but the 6 pcs pack because its cheaper.

Step-by-step explanation:

6-pcs pack = $2.10

hot dogs needed = 48

number of 6 pcs = 48 divided 6 = 8

total cost = $2.10 x 6 = $16.80

8 pcs pack = $3.12

hot dogs needed = 48

number of 8 pcs packs = 48 divided 8= 6

total cost = $3.12 x 6 =$18.72

hope it helps :)

Answer:

75miles

Step-by-step explanation:

Let A be the location of Asheville, B be the location of Boulder and W be the location of wellspring.

If well spring is located exactly halfway between Asheville and Boulder, then;

AW + WB = AB

If Asheville and Boulder are 2.5 inches apart on a map, then AB = 2.5 inches

The actual distance from wellspring to Boulder is WB

Since W is the midpoint of A and B, then AW = WB. The equation becomes;

WB + WB = AB

2WB = AB

WB = AB.2

WB = 2.5/2

WB = 1.25 inches

Hence the distance from wellspring to Boulder is 1.25inches.

Since  0.5 inches = 15 miles on the map,

1.25inches = x

Cross multiply;

0.5x = 15 * 1.25

0.5x = 18.75

x = 18.75/1.25

x = 75miles

Hence the actual distance from wellspring to Boulder is 75miles