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3 years ago

What is the slope of the line shown below?

Mathematics

1 answer:

Sophie [7]3 years ago

3 0

Hi there!

$\large\boxed{slope = \frac{1}{5}}$

Use slope formula to solve for the slope of the line:

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

Plug in points into the equation. We can use the points (0, -10) and (25, -5):

$slope = \frac{-5-(-10) }{25 -0 } = \frac{5}{25} = \frac{1}{5}$

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1 ln(1) + 2 ln(2) + 3 ln(3) + ⋯ + 10 ln(10)

Lapatulllka [165]

Answer:

$\ln(1\cdot2^{2} \cdot3^{3}\cdot4^{4} ...\cdot10^{10} )$

Step-by-step explanation:

By logarithm rules

$\ln1+2\ln2+3\ln3+....+10\ln10\\\ln1+\ln2^2+\ln3^3+....\ln10^{10}\\\ln(1\cdot2^{2} \cdot3^{3}\cdot4^{4} ...\cdot10^{10} )$

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3 years ago

(a) It takes the Earth 365 days to complete a full orbit around the sun. It takes Jupiter approximately 4,332 days, 14 h, and 9

kogti [31]

1 year = 365 days.

1 day = 24 hours.

1 hour = 60 minutes.

First convert the hours and minutes in Jupiter orbit to days:

14*60 = 840 +9 = 849 minutes.

849 / 60 = 14.15 hours.

14.15 / 24 = 0.59 days.

Jupiter's orbit is 4332.59 days.

Now divide that by 365 for the number of years:

4332.59 / 365 = 11.87 years.

5 0

3 years ago

Which statement is true regarding the graphed functions? A) f(4)=g(4) B) f(4)=g(-2) C) f(2)=g(-2) D) f(-2)=g(-2)

fomenos

Answer:

Option (D)

Step-by-step explanation:

If the two points $(x_1,y_1)$ and $(x_2,y_2)$ are lying of the line.

Slope of the line represented by the function 'f' = $\frac{y_2-y_1}{x_2-x_1}$

Two points are lying on the line are (-2, 4) and (0, -2).

Slope of the line passing through these points 'm' = $\frac{4+2}{-2-0}$

m = -3

Y-intercept of the line 'b' = -2 [From the graph]

Therefore, equation of the function will be,

f(x) = (-3)x - 2

f(x) = -3x - 2

Similarly, for other function represented by the line in red,

Slope of the line passing through (-6, 0) and (0, 6) = $\frac{6-0}{0+6}$

m' = 1

Y-intercept of g(x) = 5 [From the graph]

Equation that represents the function g(x) = 1.x + 5

g(x) = x + 5

For g(x) = f(x)

-3x - 2 = x + 6

-3x - x = 2 + 6

-4x = 8

x = -2

Therefore, for x = -2 both the functions will have the value.

f(-2) = g(-2)

Option (D) will be the answer.

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3 years ago

Gemoetry <br> PLEASE HELP!!

olya-2409 [2.1K]

Answer:

Step-by-step explanation:

the triangles are similar because they are proportional. the 3 sides of 2 triangles fall in a particular table.

6 0

2 years ago

What is the product?( square root 3x+ square root 5) (square root 15x+ 2 square root 30)

hichkok12 [17]

$(\sqrt{3x}+\sqrt5)\cdot(\sqrt{15x}+2\sqrt{30})\\\\=(\sqrt{3x})(\sqrt{15x})+(\sqrt{3x})(2\sqrt{30})+(\sqrt5)(\sqrt{15x})+(\sqrt5)(2\sqrt{30})\\\\=\sqrt{(3x)(15x)}+2\sqrt{(3x)(30)}+\sqrt{(5)(15x)}+2\sqrt{(5)(30)}\\\\=\sqrt{45x^2}+2\sqrt{90x}+\sqrt{75x}+2\sqrt{150}\\\\=\sqrt{9x^2\cdot5}+2\sqrt{9\cdot10x}+\sqrt{25\cdot3x}+2\sqrt{25\cdot6}\\\\=\sqrt{9x^2}\cdot\sqrt5+2\sqrt9\cdot\sqrt{10x}+\sqrt{25}\cdot\sqrt{3x}+2\sqrt{25}\cdot\sqrt6$
$=3x\sqrt5+2\cdot3\sqrt{10x}+5\sqrt{3x}+2\cdot5\sqrt6\\\\=3x\sqrt5+6\sqrt{10}+5\sqrt{3x}+10\sqrt6$

3 0

3 years ago

Read 2 more answers

What is the slope of the line shown below?​

What is the slope of the line shown below?