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3 years ago

In the piece-wise function graphed below, which is the correct equation for when − 2 ≤ x ≤ 2

Mathematics

1 answer:

Rama09 [41]3 years ago

5 0

Answer:

$y=-\frac{1}{2}x+2$

Step-by-step explanation:

Looking at the graph

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

For x=2 ---> f(x)=1

we have the points

(-2,3) and (2,1)

Find the slope

$m=(1-3)/(2+2)=-\frac{1}{2}$

The equation of the line in slope-intercept form is equal to

$y=mx+b$

we have

$m=-\frac{1}{2}$

$b=2$ ---> see the graph

substitute

$y=-\frac{1}{2}x+2$

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Write the equation of the circle with the given center and radius.

34kurt

Step-by-step explanation:

The standard equation of a circle is $(x - h)^2 + (y - k)^2 = r^2$

Center = (h, k)

Center = (0,2)

h = 0

k = 2

r = 5

$(x - h)^2 + (y - k)^2 = r^2$

$(x - 0)^2 + (y - 2)^2 = 5^2$

Center = (-4,-5)

h = -4

k = -5

r = $\sqrt{2}$

$(x - h)^2 + (y - k)^2 = r^2$

$(x - (-4))^2 + (y - (-5))^2 = \sqrt{2}^2$

$(x + 4))^2 + (y + 5))^2 = \sqrt{2}^2$

Center =(-1,3)

h = -1

k = 3

r = 8

$(x - h)^2 + (y - k)^2 = r^2$

$(x - (-1))^2 + (y - 3)^2 = 8^2$

$(x + 1)^2 + (y - 3)^2 = 8^2$

Center: (9,0)

h = 9

k = 0

r = $\sqrt{3}$

$(x - h)^2 + (y - k)^2 = r^2$

$(x - 9)^2 + (y - 0)^2 = \sqrt{3}^2$

4 0

3 years ago

The graph of a line has a slope of -7 and a y intercept of (0,0). Rewrite the equation in standard form (Ax+By=C) with a positiv

Anna11 [10]

Answer:

the equation of the line is 7x + y = 0 .

Step-by-step explanation:

in the standard form of the line that is Ax +By = C we can write it in the form of

By = C - Ax

$y = \frac{-A}{B}x +\frac{C}{B}$

which is in the form of $y = mx +c$

where m is the slope of the line and c is y intercept made by the line.

comparing $y = \frac{-A}{B}x +\frac{C}{B}$ and $y = mx +c$

we get that $\frac{-A}{B} =m$ and $\frac{-C}{B} = c$

since it is given that slope of the line is -7 therefore m = -7 and c = 0

therefore $\frac{-A}{B} =-7$ and $\frac{-C}{B} = 0$

therefore C = 0 , A = 7 and B = 1

therefore the equation becomes 7x + y = 0

3 0

3 years ago

Dima called her friend to tell her that she saved 30% on her new skirt at a discount store. Her friend told her that she could h

Mkey [24]

Answer:

The correct answer is $1.80

8 0

3 years ago

Read 2 more answers

PLEASE HELP!!!!!!! GEOMETRY

ASHA 777 [7]

The answer is -3/7........................................

3 0

3 years ago

#1 Using the right triangle below, find the cosine of angle A.

motikmotik

Answer: 0.8

Step-by-step explanation:

Using the Cosine formula :

$Cos A = \frac{b^{2}+c^{2}-a^{2}}{2bc}$

$a = 6$

$b = 8$

$c = 10$

substituting into the formula , we have

$Cos A = \frac{8^{2}+10^{2}-6^{2}}{2(8)(10)}$

$Cos A = \frac{64+100-36}{160}$

$Cos A = \frac{164-36}{160}$

$Cos A = \frac{128}{160}$

Therefore :

Cosine of angle A = 0.8

7 0

3 years ago