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3 years ago

What is the area of this figure?

Mathematics

1 answer:

lys-0071 [83]3 years ago

4 0

Answer:

42 unit²

Step-by-step explanation:

the hexagon is made up of 2 triangles, both have base 7 and height 2, and one middle rectangle with width 7 and length 4

area = (2 x 7) / 2 x 2 + 4 x 7 = 14 + 28 = 42

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What is the slope-intercept equation of the line below?

marissa [1.9K]

The correct answer is B. y=-3x+4

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3 years ago

The point P(1,1/2) lies on the curve y=x/(1+x). (a) If Q is the point (x,x/(1+x)), find the slope of the secant line PQ correct

lukranit [14]

Answer:

See explanation

Step-by-step explanation:

You are given the equation of the curve

$y=\dfrac{x}{1+x}$

Point $P\left(1,\dfrac{1}{2}\right)$ lies on the curve.

Point $Q\left(x,\dfrac{x}{1+x}\right)$ is an arbitrary point on the curve.

The slope of the secant line PQ is

$\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\frac{x}{1+x}-\frac{1}{2}}{x-1}=\dfrac{\frac{2x-(1+x)}{2(x+1)}}{x-1}=\dfrac{\frac{2x-1-x}{2(x+1)}}{x-1}=\\ \\=\dfrac{\frac{x-1}{2(x+1)}}{x-1}=\dfrac{x-1}{2(x+1)}\cdot \dfrac{1}{x-1}=\dfrac{1}{2(x+1)}\ [\text{When}\ x\neq 1]$

1. If x=0.5, then the slope is

$\dfrac{1}{2(0.5+1)}=\dfrac{1}{3}\approx 0.3333$

2. If x=0.9, then the slope is

$\dfrac{1}{2(0.9+1)}=\dfrac{1}{3.8}\approx 0.2632$

3. If x=0.99, then the slope is

$\dfrac{1}{2(0.99+1)}=\dfrac{1}{3.98}\approx 0.2513$

4. If x=0.999, then the slope is

$\dfrac{1}{2(0.999+1)}=\dfrac{1}{3.998}\approx 0.2501$

5. If x=1.5, then the slope is

$\dfrac{1}{2(1.5+1)}=\dfrac{1}{5}\approx 0.2$

6. If x=1.1, then the slope is

$\dfrac{1}{2(1.1+1)}=\dfrac{1}{4.2}\approx 0.2381$

7. If x=1.01, then the slope is

$\dfrac{1}{2(1.01+1)}=\dfrac{1}{4.02}\approx 0.2488$

8. If x=1.001, then the slope is

$\dfrac{1}{2(1.001+1)}=\dfrac{1}{4.002}\approx 0.2499$

7 0

3 years ago

Help! ANSWER #1 please!

nikklg [1K]

The area is 2,772 feet

Hope this helps! Good luck on your homework!!!

4 0

3 years ago

Read 2 more answers

Convert 60 miles per hour into meters per second

Svetllana [295]

1,609.35 meters are in a mile.
3,600 seconds are in an hour.

1,609.35meters x 60miles = 96,561 meters per hour
96,561meters per hour / 3,600seconds = 26.82 meters per second

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3 years ago

An ice cream store sells 4 drinks, in 5 sizes, and 6 flavors. In how many ways can a customer order a drink

Alla [95]

Answer:

15 times

Step-by-step explanation4+5+6:

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3 years ago