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3 years ago

How would we rewrite the equation of y = 1/3x -10 if we moved its graph down six units?

1 answer:

3 0

If you didn't change the slope of the line, but you moved it
down 6 units on the graph, then its y-intercept would become
6 less. The equation of the new line would be ...

y = 1/3 x - 16 .

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Find the area and circumference of the figure below.

nexus9112 [7]

Answer:

162.12385 cubic inches

Step-by-step explanation:

Assuming finding the area and circumference of the shaded area.

Triangle with 3 sides and 90 degrees on one side, we can use the Pythagorean Theorem to solve for the missing side.

Pythag. Theorem says

a^2 + b^2 = c^2

//a and b are the 2 small sides touching to the 90 degree angle

//^2 means squared, or the number multiplied by itself

(16)^2 +(30)^2 = c^2

16x16 + 30x30 = c^2

256 + 900 = c^2

1156 = c^2

Take the square root of both sides to get rid of (^2) from the right side of the equation.

sqrt(1156) = sqrt(c^2)

34 = c

So the longest side is 34 inches.

Coincidentally, this is the diameter of the Half Circle.

The radius = (diameter/2) = 34/2 = 16 inches

radius = 16 in.

Circumference of a Circle formula:

C = 2*pi*r; pi=3.14; r = radius

But this is a half circle, so C = pi*r = 3.14*16 = 50.2654

Now to find the area its a little more work.

Area of shaded part is equal to

Area of half circle minus area of triangle

Area of Circle: pi*r^2

-->since half circle: Area of half circle is: (pi*r^2)/2

Area of triangle: (base*height)/2: (16*30)/2

A of circle - A of triangle

(3.14*16^2)/2 - (16*30)/2

Area of shaded region = 162.12385

7 0

3 years ago

Rewrite using a single positive exponent 5^6/5^4

Sindrei [870]

Answer:

Step-by-step explanation:

We can divide exponents by subtract 4 from 6. So, now we have 5^2 or 25.

The other way to solve to check our answer is to do the math.

5^6 = 15625

5^4 = 625

15625/625 = 25

So, we know we have the correct answer.

5 0

3 years ago

Check my answer? The two triangles are similar. What is the value of x? 5.

Nikolay [14]

20/28 = 3x / (4x + 2)

84x = 20(4x + 2)
84x - 80x = 40
4x = 40
x = 10

so the 2 lines are equal to 30 and 42

4 0

3 years ago

Evaluate the expression for x = 3, y=13 , and z = 5.

hoa [83]

Answer:

-437

Step-by-step explanation:

x=3,y=13,z=5

12x-3y4x-z

12(3)-3(13)(4)(3)-5

36-468-5

-437

5 0

3 years ago

FIND THE MEDIAN OF THE DATA SET3,35,23,37,45,49,27,48 A.35 B.34 C.30.2 D.38

mojhsa [17]

Answer:

A. 35

Step-by-step explanation:

The median of a data set is the middle value when the data values are placed in order of size.

Given data set:

{3, 35, 23, 37, 45, 5, 49, 27, 48}

Place the data in order of size:

{3, 5, 23, 27, 35, 37, 45, 48, 49}

To find the median, divide the total number of data values (n) by 2.

If n/2 is a whole number, the median is halfway between the values in this position and the position above.
If n/2 is not a whole number, round it up to find the position of the median.

As there are 9 data values, the median value is:

$\implies \dfrac{9}{2}=4.5 \implies \sf 5th\;value$

Therefore, the median of the given data set is 35.

4 0

1 year ago

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