We are given arc KL is 12x+4, arc KJ is 8x-6, and angle E is 99 degrees. What is the actual degree measure of arc KJ? *

Lin rode her bike 2 miles in 8 minutes. She rode at a constant speed. Complete in the table for A to show the time it took her t

Elis [28]

Answer:

Idk what table your talking about but i remeber for this the answer was 4 minutes.

Step-by-step explanation:

3 0

3 years ago

The question is on the picture

Kamila [148]

answer:

ABCD is not congruent to KLMN

ABCD cannot be mapped onto KLMN

3 0

3 years ago

Use undetermined coefficient to determine the solution of:y"-3y'+2y=2x+ex+2xex+4e3x

Kitty [74]

First check the characteristic solution: the characteristic equation for this DE is

r ² - 3r + 2 = (r - 2) (r - 1) = 0

with roots r = 2 and r = 1, so the characteristic solution is

y (char.) = C₁ exp(2x) + C₂ exp(x)

For the ansatz particular solution, we might first try

y (part.) = (ax + b) + (cx + d) exp(x) + e exp(3x)

where ax + b corresponds to the 2x term on the right side, (cx + d) exp(x) corresponds to (1 + 2x) exp(x), and e exp(3x) corresponds to 4 exp(3x).

However, exp(x) is already accounted for in the characteristic solution, we multiply the second group by x :

y (part.) = (ax + b) + (cx ² + dx) exp(x) + e exp(3x)

Now take the derivatives of y (part.), substitute them into the DE, and solve for the coefficients.

y' (part.) = a + (2cx + d) exp(x) + (cx ² + dx) exp(x) + 3e exp(3x)

… = a + (cx ² + (2c + d)x + d) exp(x) + 3e exp(3x)

y'' (part.) = (2cx + 2c + d) exp(x) + (cx ² + (2c + d)x + d) exp(x) + 9e exp(3x)

… = (cx ² + (4c + d)x + 2c + 2d) exp(x) + 9e exp(3x)

Substituting every relevant expression and simplifying reduces the equation to

(cx ² + (4c + d)x + 2c + 2d) exp(x) + 9e exp(3x)

… - 3 [a + (cx ² + (2c + d)x + d) exp(x) + 3e exp(3x)]

… +2 [(ax + b) + (cx ² + dx) exp(x) + e exp(3x)]

= 2x + (1 + 2x) exp(x) + 4 exp(3x)

… … …

2ax - 3a + 2b + (-2cx + 2c - d) exp(x) + 2e exp(3x)

= 2x + (1 + 2x) exp(x) + 4 exp(3x)

Then, equating coefficients of corresponding terms on both sides, we have the system of equations,

x : 2a = 2

1 : -3a + 2b = 0

exp(x) : 2c - d = 1

x exp(x) : -2c = 2

exp(3x) : 2e = 4

Solving the system gives

a = 1, b = 3/2, c = -1, d = -3, e = 2

Then the general solution to the DE is

y(x) = C₁ exp(2x) + C₂ exp(x) + x + 3/2 - (x ² + 3x) exp(x) + 2 exp(3x)

4 0

3 years ago

A florist is creating centerpieces for an upcoming event later this evening. She has already been working for two hours and has

Ratling [72]

Since, she has already been working for two hours (120 minutes) and has budgeted only 6 hours (360 minutes) to create the centerpieces.

Since, each centerpiece takes 15 minutes to make, the time it takes her to make x centerpieces is given by 15x.

Therefore, the correct inequality representing the situation is given by 120 + 15x ≤ 360.

7 0

3 years ago

Identify tan P as a fraction and as a decimal rounded to the nearest hundredth. HELP PLEASE!!

KonstantinChe [14]

<h3>Answer: Choice C</h3>

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Work Shown:

Reference angle = P

Opposite side = QR = 8.5

Adjacent side = QP = 16

tan(angle) = opposite/adjacent

tan(P) = QR/QP

tan(P) = 8.5/16

tan(P) = 0.53125

tan(P) = 0.53

6 0

3 years ago