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3 years ago

17 points Please help me with the answer and understanding

Mathematics

2 answers:

Vinil7 [7]3 years ago

5 0

Answer:

This is exponential decay.

Step-by-step explanation:

Lets break down the answers:

A: Linear Growth. Well, we can eliminate this because the line is going down, its decay. Also, linear means line, a straight line.

B: Exponential Growth. This might work, but then again, it says *growth* not decay. Exponential is correct because as the values get bigger and bigger, the line curves.

C: Exponential Decay. Yes! This is exactly what we need. Exponential because of the curve... and of the decay.

D: Linear Decay. No, linear, again, is for lines. But now, we have already eliminated it because it says linear.

kodGreya [7K]3 years ago

3 0

Because the graph is starting high and going down, your answer is c- exponential decay

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X^2+4x+y^2-10y+20=30 find the center of the circle by completing the square

swat32

Answer:

a). Center of the circle = (-2, 5)

b). Equation of the line ⇒ y = $-\frac{4}{5}x+\frac{58}{5}$

Step-by-step explanation:

Equation of the circle is,

x² + 4x + y²- 10y + 20 = 30

a). [x² + 2(2)x + 4 - 4] + [y²- 2(5)y + 25] - 25 + 20 = 30

[x² + 2(2)x + 4] - 4 + [y² - 2(5)y + 25] - 25 + 20 = 30

(x + 2)² + (y - 5)²- 29 + 20 = 30

(x + 2)² + (y - 5)²- 9 = 30

(x + 2)² + (y - 5)² = 39

By comparing this equation with the standard equation of a circle,

Center of the circle is (-2, 5).

b). A point (2, 10) lies on this circle.

Slope of the line joining this point to the center (-2, 5),

$m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

= $\frac{10-5}{2+2}$

= $\frac{5}{4}$

Let the slope of the tangent which is perpendicular to this line is ' $m_{2}$ '

Then by the property of perpendicular lines,

$m_{1}\times m_{2}=-1$

$\frac{5}{4}\times m_{2}=-1$

$m_{2}=-\frac{4}{5}$

Now the equation of the line passing though (2, 10) having slope $m_{2}=-\frac{4}{5}$

y - y' = $m_{2}(x-x')$

y - 10 = $-\frac{4}{5}(x-2)$

y - 10 = $-\frac{4}{5}x+\frac{8}{5}$

y = $-\frac{4}{5}x+\frac{8}{5}+10$

y = $-\frac{4}{5}x+\frac{58}{5}$

Therefore, equation of the line will be, y = $-\frac{4}{5}x+\frac{58}{5}$

7 0

3 years ago

Could someone explain and help

vichka [17]

Answer:

80°

Step-by-step explanation:

The sum of the two angles (red and blue) is 145°, so you have ...

(4x +5)° +(6x -10)° = 145°

10x = 150 . . . . . . . . divide by °, add 5, simplify

x = 15 . . . . . . . . . . . divide by 10

Then the measure of the angle of interest is ...

m∠XMN = (6x -10)° = (6·15 -10)° = 80°

8 0

3 years ago

X - 5 = 20 x= I need to know what the x equals

Monica [59]

Answer:

x = 25

Step-by-step explanation:

Given

x - 5 = 20 ( isolate x by adding 5 to both sides )

x = 25

5 0

3 years ago

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I payed for a subsciption my bank has already been debted but it wont let me use it. why not?

ANEK [815]

Answer:

If your payment didn’t go through, change your preferred payment method/add another payment method.

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Step-by-step explanation:

hope it help bro

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2 years ago

Q+9/2 * 4q/q+5=? a)2+9 b)2q c)2/q d)q/2

snow_lady [41]

Te answer would be q/2, or C. if you need further details dm me

8 0

3 years ago