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meriva
2 years ago
12

X^2 + 8x +7 Explain answer

Mathematics
1 answer:
lisov135 [29]2 years ago
8 0

Step-by-step explanation:

{x}^{2}   + 8x + 7 \\

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42. Which matrix represents the image of the triangle with vertices at (-2,0), (1,5), and (4,-8) when dilated by a scale factor
jasenka [17]

The second matrix \left[\begin{array}{ccc}-6&3&12\\0&15&-24\end{array}\right] represents the triangle dilated by a scale factor of 3.

Step-by-step explanation:

Step 1:

To calculate the scale factor for any dilation, we divide the coordinates after dilation by the same coordinated before dilation.

The coordinates of a vertice are represented in the column of the matrix. Since there are three vertices, there are 2 rows with 3 columns. The order of the matrices is 2 × 3.

Step 2:

If we form a matrix with the vertices (-2,0), (1,5), and (4,-8), we get

\left[\begin{array}{ccc}-2&1&4\\0&5&-8\end{array}\right]

The scale factor is 3, so if we multiply the above matrix with 3 throughout, we will get the matrix that represents the vertices of the triangle after dilation.

Step 3:

The matrix that represents the triangle after dilation is given by

3\left[\begin{array}{ccc}-2&1&4\\0&5&-8\end{array}\right] = \left[\begin{array}{ccc}3(-2)&3(1)&3(4)\\3(0)&3(5)&3(-8)\end{array}\right] = \left[\begin{array}{ccc}-6&3&12\\0&15&-24\end{array}\right]

This is the second option.

4 0
3 years ago
Can someone help me?
loris [4]

Answer:

i do not know srry

Step-by-step explanation:

i think u should try and solve it with a better teacher

4 0
3 years ago
Read 2 more answers
A 20% solution of fertilizer is to be mixed with a 50% solution of fertilizer in order to get 180 gallons of a 40% solution. How
anyanavicka [17]

Answer: 60 gallons of the 20% solution and 120 gallons of the 50% solution should be mixed.

Step-by-step explanation:

Let x represent the number of gallons of 20% solution that should be mixed.

Let y represent the number of gallons of 50% solution that should be mixed.

A 20% solution of fertilizer is to be mixed with a 50% solution of fertilizer in order to get 180 gallons of a 40% solution. This means that

0.2x + 0.5y = 0.4×180

0.2x + 0.5y = 72- - - - - - - - - - - -1

Since the total number of gallons is 180, it means that

x + y = 180

Substituting x = 180 - y into equation 1, it becomes

0.2(180 - y) + 0.5y = 72

36 - 0.2y + 0.5y = 72

- 0.2y + 0.5y = 72 - 36

0.3y = 36

y = 36/0.3

y = 120

x = 180 - y = 180 - 120

x = 60

4 0
3 years ago
You made 1⁄2 quart of lemonade. How many 1⁄4 quart-sized glasses will you be able to fill with lemonade
KatRina [158]

Answer:

Hey! I believe this is your answer:

4 glasses

Hope this helped!

Step-by-step explanation:

4 0
2 years ago
J PLS HELP 8 MINUTES LEFT Ted Thumper, who bats at number eight, had an average (mean) of 14 last year. So far this year he has
kotykmax [81]

Answer:

answer is 15 and second one i dont know yet sorry am doing scoo

Step-by-step explanation:

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2 years ago
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