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Bond [772]
3 years ago
5

Answer the following questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!

Mathematics
2 answers:
Alexxx [7]3 years ago
4 0

Hi There!

Answer: Bowler 2

Why: if you notice that line in the box plot shows the median and it specifically shows that the meadian is 20 or so greater than Bowler 1.

mrs_skeptik [129]3 years ago
3 0

Answer: Bowler 2 because Bowler 1 has a score of approximately 177 and Bowler 2 has 193


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Write the equation of the line given points (-4,6) and (-8,10)
Advocard [28]

Answer:

the equation of the line in slope-intercept form is: y=-x+2

Step-by-step explanation:

First start by finding the slope of the segment that joins those two points using the general formula for the slope of the segments between two points (x_1,y_1) and (x_2,y_2) on the plane:

Slope=\frac{y_2-y_1}{x_2-x_1}

Then for our case, calling (-4, 6) = (x_1,y_1) and (-8, 10) = (x_2,y_2), we have:

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{10-6}{-8-(-4)}\\Slope=\frac{4}{-8+4}\\Slope=\frac{4}{-4}\\Slope= -1

Now, knowing this, we can find the equation of the line by using the "point-slope" form of a line [of slope "m" and going through the point (x_0,y_0) that tells us:

y-y_0=m(x-x_0)

We will be then using the found slope (-1) and for example one of the given points: (-4 , 6), thus:

y-y_0=m(x-x_0)\\y-6=-1(x-(-4))\\y-6=-1(x+4)\\y-6=-x-4\\y=-x-4+6\\y=-x+2

6 0
3 years ago
What is the volume of this rectangular prism?
Natalija [7]

Answer:

3

Step-by-step explanation:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

The given rectangular prism has sides that have values of 3/2 (Decimal: 1.5), 4, and 1/2 (Decimal: 0.5).

So using the formula:

L × W × H

We can calculate:

V=whl=4·1.5·0.5=3

6 0
2 years ago
Read 2 more answers
For breakfast, Ron can choose from cereal, pancakes, or scrambled eggs. he will also choose form bacon or sausage. Then he will
stiv31 [10]
24 times the number of things.
6 0
3 years ago
Find x so that the points (x,x+1), (x+2,x+3) and (x+3,2x+4) form a right-angled triangle.
azamat

Let <em>a</em>, <em>b</em>, and <em>c</em> be vectors each starting at the origin and terminating at the points (<em>x</em>, <em>x</em> + 1), (<em>x</em> + 2, <em>x</em> + 3), and (<em>x</em> + 3, 2<em>x</em> + 4), respectively.

Then the vectors <em>a</em> - <em>b</em>, <em>a</em> - <em>c</em>, and <em>b</em> - <em>c</em> are vectors that point in directions parallel to each of the legs formed by the triangle with these points as its vertices.

If this triangle is to contain a right angle, then exactly one of these pairs of vectors must be orthogonal. In other words, one of the following must be true:

(<em>a</em> - <em>b</em>) • (<em>a</em> - <em>c</em>) = 0

<em>or</em>

(<em>a</em> - <em>b</em>) • (<em>b</em> - <em>c</em>) = 0

<em>or</em>

(<em>a</em> - <em>c</em>) • (<em>b</em> - <em>c</em>) = 0

We have

<em>a</em> - <em>b</em> = (<em>x</em>, <em>x</em> + 1) - (<em>x</em> + 2, <em>x</em> + 3) = (-2, -2)

<em>a</em> - <em>c</em> = (<em>x</em>, <em>x</em> + 1) - (<em>x</em> + 3, 2<em>x</em> + 4) = (-3, -<em>x</em> - 3)

<em>b</em> - <em>c</em> = (<em>x</em> + 2, <em>x</em> + 3) - (<em>x</em> + 3, 2<em>x</em> + 4) = (-1, -<em>x</em> - 1)

Case 1: If (<em>a</em> - <em>b</em>) • (<em>a</em> - <em>c</em>) = 0, then

(-2, -2) • (-3, -<em>x</em> - 3) = (-2)×(-3) + (-2)×(-<em>x</em> - 3) = 2<em>x</em> + 12 = 0   ==>   <em>x</em> = -6

which would make <em>a</em> - <em>c</em> = (-3, 3) and <em>b</em> - <em>c</em> = (-1, 5), and their dot product is not zero. Then the triangles vertices are at the points (-6, -5), (-4, -3), and (-3, -8).

Case 2: If (<em>a</em> - <em>b</em>) • (<em>b</em> - <em>c</em>) = 0, then

(-2, -2) • (-1, -<em>x</em> - 1) = (-2)×(-1) + (-2)×(-<em>x</em> - 1) = 2<em>x</em> + 4 = 0   ==>   <em>x</em> = -2

which would make <em>a</em> - <em>c</em> = (-3, -1) and <em>b</em> = (-1, 1), and their dot product is also not zero. The vertices are the points (-2, -1), (0, 1), and (1, 0).

Case 3: If (<em>a</em> - <em>c</em>) • (<em>b</em> - <em>c</em>) = 0, then

(-3, -<em>x</em> - 3) • (-1, -<em>x</em> - 1) = (-3)×(-1) + (-<em>x</em> - 3)×(-<em>x</em> - 1) = <em>x</em> ² + 4<em>x</em> + 6 = 0

but the solutions to <em>x</em> here are non-real, so we throw out this case.

So there are two possible values of <em>x</em> that make a right triangle, <em>x</em> = -6 and <em>x</em> = -2.

3 0
3 years ago
Suppose that g(x)=f(x)+3. Which statement best compares the graph of g(x) with the graph of f(x)?
Nonamiya [84]

Answer:

He said points

Step-by-step explanation:

I can get points for nothing

8 0
2 years ago
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