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meriva
2 years ago
11

What is the slope of the line passing through points A and B?

Mathematics
2 answers:
masya89 [10]2 years ago
7 0

Answer: 2/4 simplified to 1/2

Step-by-step explanation:

natta225 [31]2 years ago
5 0

Answer:

-1/2

Step-by-step explanation:

A(-3, 4)

B(1, 2)

slope = (y2 - y1)/(x2 - x1)

slope = (4 - 2)/(-3 - 1)

slope = 2/(-4)

slope = -1/2

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Luckily for us, the diagram already divided this figure into separate polygons. What I will be explaining is basically the addition of the areas of all the separate polygons. The area of the uppermost triangle is:

1/2 x b x h
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Now all we have left to do is add the two areas to obtain the total area.

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3 years ago
Solve 2cos ²y -siny -1=0 for 0° ≤y≤360°
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\displaystyle\bf\\2cos^2y -sin\,y -1=0~~~for~~0^o\leq y \leq360^o\\\\cos^2y=1-sin^2y\\\\2(1-sin^2y) -sin\,y -1=0\\\\2-2sin^2y-sin\,y-1=0\\\\-2sin^2y-sin\,y+2-1=0\\\\-2sin^2y-sin\,y+1=0~~~\Big|\times(-1)\\\\2sin^2y+sin\,y-1=0

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\displaystyle\bf\\\boxed{\bf sin\,y=x}\\\\2x^2+x-1=0\\\\x_{12}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-1\pm\sqrt{1-4\cdot2\cdot(-1)}}{2\cdot2}=\\\\=\frac{-1\pm\sqrt{1+8}}{4}=\frac{-1\pm\sqrt{9}}{4}=\frac{-1\pm3}{4}\\\\x_1=\frac{-1+3}{4}=\frac{2}{4}=\boxed{\bf\frac{1}{2}}\\\\x_2=\frac{-1-3}{4}=\frac{-4}{4}=\boxed{\bf-1}\\\\sin\,y=\frac{1}{2}\\\\\boxed{\bf y_1=\frac{\pi}{6}~~or~~(30^o)}\\\\\boxed{\bf y_2=\frac{5\pi}{6}~~or~~(150^o)}\\\\sin\,y=-1\\\\\boxed{\bf y_3=\frac{3\pi}{2}~~or~~(270^o)}

 

 

5 0
3 years ago
F(x)=5x^4 helllllpppppp
Marina CMI [18]

we can use properties of functions to find this out


for f(x)=ax^b


if b is even, then the ends of the function go in the same directions (both up or both down)

if b is odd, then the ends of the function go in different directions (one up and one down)


if a is positive and b is even, then both ends point up

if a is positve and b is odd, then it goes from bottom left to top right

if a is negative and b is even, then both ends point down

if a is negative and b is odd, then it goes from top left to bottom right


given f(x)=5x^4

a=5>0

b=4 which is even

so it has both ends pointing up

bottom right graph is yo answer

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Answer:B

Step-by-step explanation:

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