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Eduardwww [97]
3 years ago
8

Please answer asap!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
2 answers:
pav-90 [236]3 years ago
5 0

Answer:

147 Is the missing angle

Step-by-step explanation:

blondinia [14]3 years ago
5 0
147 is the missing variable
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How many solutions does the equation 5x+17=4(3x−1) have?
Stella [2.4K]

<u>Answer:</u>

one solution = 3

<u>Step-by-step explanation:</u>

Let's solve your equation step-by-step.

5x+17=4(3x−1)

Step 1: Simplify both sides of the equation.

5x+17=4(3x−1)

5x+17=(4)(3x)+(4)(−1)(Distribute)

5x+17=12x+−4

5x+17=12x−4

Step 2: Subtract 12x from both sides.

5x+17−12x=12x−4−12x

−7x+17=−4

Step 3: Subtract 17 from both sides.

−7x+17−17=−4−17

−7x=−21

Step 4: Divide both sides by -7

-7x/-7 = -21/-7 = 3

4 0
3 years ago
Find the partial fraction decomposition of the rational expression with prime quadratic factors in the denominator
SpyIntel [72]
\dfrac{5x^4-7x^3-12x^2+6x+21}{(x-3)(x^2-2)^2}=\dfrac{a_1}{x-3}+\dfrac{a_2x+a_3}{x^2-2}+\dfrac{a_4x+a_5}{(x^2-2)^2}
\implies 5x^4-7x^3-12x^2+6x+21=a_1(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(a_4x+a_5)(x-3)

When x=3, you're left with

147=49a_1\implies a_1=\dfrac{147}{49}=3

When x=\sqrt2 or x=-\sqrt2, you're left with

\begin{cases}17-8\sqrt2=(\sqrt2a_4+a_5)(\sqrt2-3)&\text{for }x=\sqrt2\\17+8\sqrt2=(-\sqrt2a_4+a_5)(-\sqrt2-3)\end{cases}\implies\begin{cases}-5+\sqrt2=\sqrt2a_4+a_5\\-5-\sqrt2=-\sqrt2a_4+a_5\end{cases}

Adding the two equations together gives -10=2a_5, or a_5=-5. Subtracting them gives 2\sqrt2=2\sqrt2a_4, a_4=1.

Now, you have

5x^4-7x^3-12x^2+6x+21=3(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(x-5)(x-3)
5x^4-7x^3-12x^2+6x+21=3x^4-11x^2-8x+27+(a_2x+a_3)(x-3)(x^2-2)
2x^4-7x^3-x^2+14x-6=(a_2x+a_3)(x-3)(x^2-2)

By just examining the leading and lagging (first and last) terms that would be obtained by expanding the right side, and matching these with the terms on the left side, you would see that a_2x^4=2x^4 and a_3(-3)(-2)=6a_3=-6. These alone tell you that you must have a_2=2 and a_3=-1.

So the partial fraction decomposition is

\dfrac3{x-3}+\dfrac{2x-1}{x^2-2}+\dfrac{x-5}{(x^2-2)^2}
7 0
3 years ago
Point A(-2, -2) and B(3, -2) are dilated with the center of dilation at C(0, 0) and k=2.
frez [133]

9514 1404 393

Answer:

  A'(-4, -4), B'(6, -4), parallel

Step-by-step explanation:

The dilation factor multiplies each of the coordinate values. The line that was y=-2 becomes the line y=-4, a parallel horizontal line.

6 0
3 years ago
Population density is the number of people per unit of area. What is the population density of a state that has 1627260 people i
g100num [7]
If state has 1627260 people and 1490 square miles, then we divide the number of people by the area and we get the density per square mile.

1627260 / 1490 = 1092,120805369128

After rounding it to the nearest whole number we get 1092.

The answer: In such a state 1092 people live in a square mile.
6 0
3 years ago
The diameter of a circle that has an area of 452.16 mm
irinina [24]
The diameter is 24 since if you ÷ it by 2 you get 12 to get area it is radius squared so 12 × 12= 144×pi which is 3.14= 452.16 mm you can even check in a calculator
3 0
3 years ago
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