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1 year ago

These tables represent a quadratic function with a vertex at (0, -1). What is

Mathematics

1 answer:

Bond [772]1 year ago

5 0

Answer:

Step-by-step explanation:

We can notice that based on the given pattern, the average rate of change from $x=n$ to $x=n+1$ , where $n \in \mathbb{Z}$ , is $-2n-1$ .

So, the average rate of change from $x=8$ to $x=9$ is $-2(8)-1=-17$ .

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PART A: Mrs. konsdorf claims that angle R is a right angle.Is Mrs. konsdorf correct? explain your reasoning PART B: if T is trab

Anna007 [38]

Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

The product of slopes of two perpendicular lines is -1.

Slope of GR is

$\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}$

Slope of RT is

$\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1$

Product of slopes of GR and RT is

$\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1$

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

$(x,y)\rightarrow(x-1,y-2)$

Then the coordinates of T' are

$(2,6)\rightarrow(2-1,6-2)$

$(2,6)\rightarrow(1,4)$

Slope of RT' is

$\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}$

Product of slopes of GR and RT' is

$\frac{-4}{3}\times \frac{3}{4}=-1$

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

6 0

3 years ago

At a movie theater, 360 people can see a particular movie over a period of 3 hours. At this

Agata [3.3K]

Answer:233

Step-by-step explanation:cause i said so

7 0

3 years ago

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What times will give you 150

zepelin [54]

Answer: 75(2) OR 25(6)

Step-by-step explanation:75+75 = 150 OR 25+25+25+25+25+25=150

5 0

3 years ago

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Caculate the slope between the points <br> (9, 12) and (4, 17)

Scilla [17]

To calculate the slope you need to do (y2-y1)/(x2-x1). So you would get:
(17-12)/(4-9)
5/-5
=-1
Hope this helps.

3 0

3 years ago

What is the square root of 11 times 8

Amanda [17]

i think the answer is 88 i hope i helped

7 0

3 years ago

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