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Sever21 [200]
3 years ago
7

I need quick help pls!! by reason: AAA or ASA, SAA or Cannot be determined or SAS or SSS

Mathematics
1 answer:
Ray Of Light [21]3 years ago
5 0

Answer:

  ΔDCE by ASA

Step-by-step explanation:

The marks on the diagram show AE ≅ DE. We know vertical angles AEB and DEC are congruent, and we know alternate interior angles BAE and CDE are congruent. The congruent angles we have identified are on either end of the congruent segment, so the ASA theorem applies.

Matching corresponding vertices, we can declare ΔABE ≅ ΔDCE.

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Find the particular solution that satisfies the differential equation and the initial condition.
Vesnalui [34]

Answer:

1) y =4x^2 +7

2) y =7s^2 -3s^4 +181

Step-by-step explanation:

Assuming that our function is y = f(x) for the first case and y=f(s) for the second case.

Part 1

We can rewrite the expression like this:

\frac{dy}{dx} =8x

And we can reorder the terms like this:

dy = 8 x dx

Now if we apply integral in both sides we got:

\int dy = 8 \int x dx

And after do the integrals we got:

y = 4x^2 +c

Now we can use the initial condition y(0) =7

7 = 4(0)^2 +c, c=7

And the final solution would be:

y =4x^2 +7

Part 2

We can rewrite the expression like this:

\frac{dy}{ds} =14s -12s^3

And we can reorder the terms like this:

dy = 14s -12s^3 dx

Now if we apply integral in both sides we got:

\int dy = \int 14s -12s^3 ds

And after do the integrals we got:

y = 7s^2 -3s^4 +c

Now we can use the initial condition y(3) =1

1 = 7(3)^2 -3(3)^4 +c, c=1-63+243=181

And the final solution would be:

y =7s^2 -3s^4 +181

7 0
3 years ago
The figures below are rectangles. Which polynomial represents the area of the shaded region? HAVE ALL MY POINTS but answer truth
Aleks04 [339]

Answer:

7x - 1

Step-by-step explanation:

Area of the shaded region = area of the large rectangular - area of the small rectangle

Area of rectangle is given as l*w

Area of the large rectangle = l*w = (x + 5)(x - 1)

Expand

= x(x - 1) +5(x - 1)

= x^2 - x + 5x - 5

Area of large rectangle = x^2 + 4x - 5

Area of small rectangle = l*w = (x + 1)(x - 4)

= x(x - 4) +1(x - 4)

=  x^2 - 4x + x - 4

Area of small rectangle = =  x^2 - 3x - 4

Area of shaded region = (x^2 + 4x - 5) - (x^2 - 3x - 4)

= x^2 + 4x - 5 - x^2 + 3x + 4

Collect like terms

= x^2 - x^2 + 4x + 3x - 5 + 4

= 7x - 1

6 0
3 years ago
Write the equation of the line with the given slope and y-intercept.
Alex787 [66]
A) y=5x+8

See clipped image for explanation

Comment below if you have trouble seeing the image or if you have more questions :)
4 0
2 years ago
How do you find the surface area of a composite figure?
kvv77 [185]
You need to separate the different figures then add oall of the different areas together
3 0
2 years ago
Find the sum 12x²+9x²
DIA [1.3K]
21x squared, just add the numbers together
6 0
2 years ago
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