Find the second derivative for y=e^10x+y

I need help with math algebra homework

lesya [120]

Answer:

1. Slope: -3/4

2. Point-slope: y+4=-3/4(x+4)

3. Slope-intercept: y=-3/4x-7

4. Standard form: 3x+4y=-28

Step-by-step explanation:

1. To find the slope, use the slope formula, which is: y2-y1/x2-x1.

Plug the y-coordinates into the top part of the equation and the x-coordinates into the bottom part.

2--4/-4-4

2+4/-8 = 6/-8, or 3/-4

2. Use the slope and one of the x and y coordinates to put the equation into point-slope form. Recall that point-slope form is: y-y1=m(x-x1). Let's use the coordinates (4,-4).

y+4=-3/4(x+4)

3. To put the point-slope equation into slope-intercept form (y=mx+b), you need to distribute -3/4 to x+4 and subtract 4 from both sides.

When you distribute, the equation becomes:

y+4=-3/4x-3

Finally, when you subtract 4, the equation becomes:

y=-3/4x-7

4. Standard form is written as x+y= #.

To convert y=mx+b to standard form, first subtract -3/4x from both sides.

-3/4x + y = -7

Multiply everything by 4

3x + 4y = -28

3 0

3 years ago

What is an acute- angled triangle?

Vanyuwa [196]

Answer:

c

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

A box contains 15 lbs.of books. There are 20 books in the box. How much does each book weigh?

Setler79 [48]

Answer:

0.75 lbs.

Step-by-step explanation:

Okay, this one is more simple. To find the weight of each book, You have to solve this division problem:

15/20

If you divided it the other way around, you would be saying each book weighed 1.33 pounds. That wouldn't be correct because then you would have over 20 lbs. of books, when you only have 15.

So, the answer is 0.75 pounds.

6 0

3 years ago

Solve the system by using the combination method 4x+9y=7 4x-9y=9

harkovskaia [24]

The two original functions are 4x+9y=7 and 4x-9y=9
To use the combination method, add all the values of the two equations together to cancel out one of the variables
4x+4x+9y-9y=7+9
8x=16
8x/8=16/8
x=2
4(2)+9y=7
8+9y=7
8-8+9y=7-8
9y=-1
y=- $\frac{1}{9}$

7 0

3 years ago

[need math help] Study buddies part #2

rosijanka [135]

Answer:

Part A) The distance between Whitney's house and Anh's house is 6.5 miles.

Part B) The total distance traveled by Whitney during the trip was 9.5 miles.

Step-by-step explanation:

Part A)

Notice that during Whitney's journey to Anh's house, her velocity was negative for some time. So, Whitney was travelling backwards. Hence, the total distance Whitney traveled will be greater than the actual distance from Whitney's house to Anh's.

So, instead, we can calculate Whitney's total displacement. Total displacement is given by:

$\displaystyle \text{Displacement}=\int_a^bv(t)\, dt$

Where v(t) is the velocity function.

So, the displacement of Whitney when she traveled from her house to Anh's house will be:

$\displaystyle \text{Displacement}=\int_0^{24}v(t)\, dt$

To calculate the integral, we can split it off at t = 11, t = 16, and t = 24.

The three regions represent three geometric figures, which we can use to calculate the area and then find the integral. Rewriting:

$\displaystyle \text{Displacement}=\int_0^{11}v(t)\, dt+\int_{11}^{16}v(t)\, dt+\int_{16}^{24}v(t)\, dt$

Now, we can calculate the area of each figure.

The first figure is a trapezoid with a height of 0.8 and two bases of 11 and 3. So, its area is:

$\displaystyle A_1=\frac{1}{2}(0.8)(11+3)=5.6\text{ miles}$

The second figure is a triangle with a height of 0.6 and a base of 5. So, its area is:

$\displaystyle A_2=\frac{1}{2}(0.6)(5)=1.5\text{ miles}$

Lastly, the third figure is another triangle will a height of 0.6 and a base of 8. So, its area is:

$\displaystyle A_3=\frac{1}{2}(0.6)(8)=2.4\text{ miles}$

However, notice that the second figure is below the x-axis. During that interval, Whitney was traveling backwards. Hence, we will subtract the second area from the rest of the areas.

Then the displacement will be:

$\displaystyle \text{Displacement}=5.6-1.5+2.4=6.5\text{ miles}$

So, the distance between Whitney's house and Anh's house is 6.5 miles.

Part B)

The total distance differs from displacement in that it includes all the distances in both directions. It is given by:

$\displaystyle \text{Distance}=\int_a^b|v(t)|\, dt$

In other words, all of our values are now positive. We will utilize the same strategy:

$\displaystyle \text{Distance}=\int_0^{11}|v(t)|\, dt+\int_{11}^{16}|v(t)|\, dt+\int_{16}^{24}|v(t)|\, dt$

Substitute. The only difference is that we will add 1.5 instead of subtracting it. So:

$\displaystyle \text{Distance} =5.6+1.5+2.4=9.5$

Therefore, in this instance, Whitney traveled a total of 9.5 miles to get to Anh's house.

6 0

3 years ago