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WITCHER [35]
2 years ago
12

Triangle PQR is an isosceles triangle with the coordinates P(2,3), 2(5, 10), and R(8,3).

Mathematics
1 answer:
Neporo4naja [7]2 years ago
8 0
Answer: A 15 units 2
Explanation: hope this helps
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A triangle has two angles that measure 18.6 degrees and 113.4 degrees respectively. what is the measure of the third angle?
spin [16.1K]

Answer:

x = 48

Step-by-step explanation:

18.6 + 113.4 + x = 180

132 + x = 180

x = 180 - 132

x = 48

5 0
3 years ago
5 less than a number is equivalent to 1 more than three times the number<br><br> The number is ??
givi [52]

Answer:

-3

Step-by-step explanation:

Let x equal the mystery number

Our equation will be:

x - 5 = 1 + 3x

Subtract x from both sides

-5 = 1 + 2x

Subtract 1 from both sides

-6  = 2x

Divide both sides by 2

-3 = x

4 0
3 years ago
How do you do this question?
ElenaW [278]

x*y' + y = 8x

y' + y/x = 8 .... divide everything by x

dy/dx + y/x = 8

dy/dx + (1/x)*y = 8

We have something in the form

y' + P(x)*y = Q(x)

which is a first order ODE

The integrating factor is u(x) = e^{\int P(x)dx} = e^{\int (1/x) dx} = e^{\ln(x)} = x

Multiply both sides by the integrating factor (x) and we get the following:

dy/dx + (1/x)*y = 8

x*dy/dx + x*(1/x)*y = x*8

x*dy/dx + y = 8x

y + x*dy/dx = 8x

Note the left hand side is the result of using the product rule on xy. We technically didn't need the integrating factor since we already had the original equation in this format, but I wanted to use it anyway (since other ODE problems may not be as simple).

Since (xy)' turns into y + x*dy/dx, and vice versa, this means

y + x*dy/dx = 8x turns into (xy)' = 8x

Integrating both sides with respect to x leads to

xy = 4x^2 + C

y = (4x^2 + C)/x

y = (4x^2)/x + C/x

y = 4x + Cx^(-1)

where C is a constant. In this case, C = -5 leads to a solution

y = 4x - 5x^(-1)

you can check this answer by deriving both sides with respect to x

dy/dx = 4 + 5x^(-2)

Then plugging this along with y = 4x - 5x^(-1) into the ODE given, and you should find it satisfies that equation.

6 0
3 years ago
Draw a line from each rectangular prism to its matching group of face shapes
IrinaK [193]
Can you put more information into this question
6 0
3 years ago
Read 2 more answers
Express 24 as a fraction of 60
seraphim [82]

Answer:

24/60 = 2/5

Step-by-step explanation:

24/60

Divide both the numerator and denominator by a common factor, 6

4/10

Divide both the numerator and denominator by a common factor, 2

2/5

7 0
3 years ago
Read 2 more answers
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