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3 years ago

10

Find the distance between the two points given

1 answer:

Hunter-Best [27]3 years ago

8 0

Answer:

6√2

Step-by-step explanation:

from the graph the coordinates of the points are (2, 5) and (- 4, -1)

the distance is d= √(x2-x1)²+(y2-y1)² = √(-4-2)²+(-1-5)²=√72 = √2*2*2*3*3= 6√2

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Identify the congruent angles in the figure.<br> Explain your reasoning.

kirill115 [55]

Answer:2 and 4 and 1 and three because there in the same corners

Step-by-step explanation: 2 and 4 are in open corners while 3 and 1 are in closed corners

6 0

3 years ago

Read 2 more answers

Plz help i will give brainliest

djverab [1.8K]

Answer:

1. $y=\frac{2}{3}x-2$

2. $y=\frac{-5}{4}x+5$

Step-by-step explanation:

all you are doing is solving for "y"

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3 years ago

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Solve the following differential equation: y" + y' = 8x^2

PtichkaEL [24]

Answer:

$y=y_p+y_h = \frac{8}{3}x^3-8x^2+16x+ C_1 + C_2e^{-x}$

Step-by-step explanation:

Let's find a particular solution. We need a function of the form $y= ax^3+bx^2+cx+d$ such that

$y'= 3ax^2+2bx+c$ and

$y''= 6ax+2b$

$y'+y''= 3ax^2+2bx+c+6ax+2b = 3ax^2+x(2b+6a)+(c+2b) = 8x^2$

then, 3a= 8, 2b+6a =0 and c+2b = 0. With the first equation we obtain

a = 8/3 and replacing in the second equation 2b+6(8/3) = 2b + 16 = 0. Then, b = -8. Finally, c = -2(-8) = 16.

So, our particular solution is $y_p= \frac{8}{3}x^3-8x^2+16x$ .

Now, let's find the solution $y_p$ of the homogeneus equation $y''+y'=0$ with the method of constants coefficients. Let $y=e^{\lambda x}$

$y'=\lambda e^{\lambda x}$

$y''=\lambda^2e^{\lambda x}$

then $\lambda e^{\lambda x}+\lambda^2 e^{\lambda x} = 0$

$e^{\lambda x}(\lambda +\lambda^2)= 0$

$(\lambda +\lambda^2)= 0$

$\lambda (1+\lambda)= 0$

$\lambda =0$ and $\lambda)= -1$ .

So, $y_h = C_1 + C_2e^{-x}$ and the solution is

$y=y_p+y_h =\frac{8}{3}x^3-8x^2+16x+ C_1 + C_2e^{-x}$ .

5 0

3 years ago

Shawn bought fruit last week, consisting of 2.26 pounds of bananas, 1.5 pounds of grapes, and a watermelon that weighed 6.78 p

Anit [1.1K]

Answer:

10.54 pounds is right answer

Step-by-step explanation:

bananas 2.26 pounds

Grapes 1.5 pounds

water melon 6.78 pounds

total weight = 10.54 pounds

6 0

3 years ago

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Could someone please explain to me how to solve this problem? Thanks! :)

BartSMP [9]

Answer:

First of all since they are dividing subtract the powers of the base from each other .

Make sure the bases are the same.

((6^7-6)(3^3-4))³

((6)(3^-1))³

(6³)(3^-3)

216 × 1/27

= 8

That's option d.

Hope this helps.

6 0

4 years ago