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3 years ago

(ab - 9)(ab + 8) Please answer.

1 answer:

3 0

$\text{Use FOIL method:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(ab-9)(ab+8)=(ab)(ab)+(ab)(8)+(-9)(ab)+(-9)(8)\\\\=a^2b^2+8ab-9ab-72\\\\=\boxed{a^2b^2-ab-72}$

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Suppose you are given a parabola with two points that have the same y-value, such as (-7, 11) and (3, 11). Explain how to find t

Hoochie [10]

By using the midpoint formula and the equation of the line, the equation of the line of symmetry is x = - 2.

<h3>How to derive the equation of the axis of symmetry </h3>

In this question we know the locations of two points with the same y-value, which means that the axis of symmetry is parallel to the y-axis and that both points are equidistant. Thus, the axis of symmetry passes through the midpoint of the line segment whose ends are those points.

First, calculate the coordinates of the midpoint by the midpoint formula:

M(x, y) = 0.5 · (- 7, 11) + 0.5 · (3, 11)

M(x, y) = (- 2, 11)

Second, look for the first coordinate of the midpoint and derive the equation of the line associated with the axis of symmetry:

x = - 2

By using the midpoint formula and the equation of the line, the equation of the line of symmetry is x = - 2.

To learn more on axes of symmetry: brainly.com/question/11957987

#SPJ1

3 0

1 year ago

Solve algebraically for all values of x<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx-4%7D%20%2Bx%3D6" id="TexFormula1" title="\s

kirza4 [7]

Answer:

x=5

sqrt of 5-4=1

then 1 +x(5)=6

7 0

3 years ago

Read 2 more answers

Which of the following is the solution to 9|x +4|>54 ?

horsena [70]

Answer:

x>2 or x<-10

Step-by-step explanation:

9|x +4|>54

Divide each side by 9

9/9|x +4|>54/9

|x +4|>6

There are two solutions, one positive and one negative

x+4 >6 or x+4 < -6

Subtract 4 from each side

x+4-4 >6-4 or x+4-4 < -6-4

x>2 or x<-10

4 0

3 years ago

Please help!! the table shows the number of hours that a group of friends spent in their first week training to run a marathon.

saw5 [17]

So if they all add 4 hours to their time then they have:
Jeff 9
Mark 14
Karen 9
Costas 13
Brett 11
Nikki 9
Jack 11

so now to find the mean you add all the numbers together to get 76 and then you divide it by the number of people (7 people) so 76 divided by 7 equals 10.8571429 and that's the mean.

Now to find the median you put all the numbers in order from least to greatest: 9;9;9;11;11;13;14 and you take the number in the middle but since both 11 and 11 are in the middle you take the mean of them and the mean of them is 11 so the median of the numbers is 11

now to find the range you take the largest number (14) and you subtract the smallest number (9) so 14 - 9 is 5 so 5 is the range

and last the mode is the number that is repeated most out of all the numbers so the mode would be 9

8 0

3 years ago

Which of the following shows this trapezoid rotated 90°

murzikaleks [220]

Answer:

Step-by-step explanation:

i did th etst hope it helps

3 0

3 years ago