does the pythagorean theorem hold for shapes other than squares constructed on the legs and hypotenuse of a right triagles

Given the graph and the equation y= (x + 3) - 2, which one has the smaller minimum and by how mucha

aev [14]

Answer:

A

Step-by-step explanation:

6 0

3 years ago

Given the first type of plot indicated in each pair: which of the second plots could not always be generated from it? a. dot plo

Elenna [48]

Answer:

C

Step-by-step explanation:

Dot plot is usually in the form of stem & leaf. The only difference is that, stem& leaf presents the actual values while dot plot usually represent the value in dots. Hence, we can easily generate dot plot from stem & leaf!

For (a) dot plot and box plot, dot plot presents all the data while box plot presents only the five-num statistics, namely:

1. minimum

2. 1st quartile (Q1)

3. median

4. 3rd quartile (Q3)

5. Maximum

And outliers, if any!

Thus, dot plot cannot directly generate box plot

For (b). Histogram and stem & leaf. Although both usually help us understand the skewness of data distribution, however, histogram deals with frequency distribution (counts of number of occurrence) and plotted on the intervals and stem&leaf list the values.

For (d). Even though dot plot shoots up and down like the histogram, the content is different. In dot plot, it is the actual value represented in dots. But in histogram, it is the frequency distribution of the class intervals.

3 0

3 years ago

Which is the vertex of x2 + 10x = -17 (-5,-8) (5,8) (-5,8) (5,-8)

ad-work [718]

Answer:

vertex = (- 5, - 8)

Step-by-step explanation:

Given a quadratic in standard form : ax² + bx + c = 0 : a ≠ 0

Then the x- coordinate of the vertex is

$x_{vertex}$ = - $\frac{b}{2a}$

Given x² + 10x = - 17 ( add 17 to both sides )

x² + 10x + 17 = 0 ← in standard form

with a = 1, b = 10, c = 17, then

$x_{vertex}$ = - $\frac{10}{2}$ = - 5

Substitute x = - 5 into the quadratic for the corresponding value of y

y = (- 5)² + 10(- 5) + 17 = 25 - 50 + 17 = - 8

Hence vertex = (- 5, - 8)

4 0

3 years ago

Negate the conditional statement.

Tpy6a [65]

(not a or not b) implies c <==> not (not a or not b) or c

so negating gives

not [(not a or not b) implies c] <==> not[ not (not a or not b) or c]

which we can simplify somewhat to

not (not (not a or not b)) and not c

(not a or not b) and not c

(not a and not c) or (not b and not c)

not (a or c) or not (b or c)

not ((a or c) and (b or c))

not ((a and b) or c)

3 0

2 years ago

The function g(x) = x2 is transformed to obtain function h: h(x) = g(x) + 1. Which statement describes how the graph of h is dif

Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

The graph of g(x), if translated upward by 1 unit, becomes the graph of h(x) = g(x) + 1.

6 0

3 years ago