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elena55 [62]
3 years ago
6

What is the vertex of this equation?

Mathematics
1 answer:
AfilCa [17]3 years ago
7 0

Answer:

  (5, 4)

Step-by-step explanation:

The equation can be written in vertex form by adding and subtracting 25:

  y = -(x^2 -10x +25) -21 +25

  y = -(x -5)^2 +4

Then the vertex can be identified as (5, 4).

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Carlos performed a transformation on trapezoid EFGH to create E′F′G′H′, as shown in the figure below:
Nataliya [291]

Answer:

90° clockwise rotation or 270° anticlockwise rotation

Step-by-step explanation:

(x,y)=(y,-x)

<em>E(-6,-4)=E'(-4,6)</em>

<em>F(-4,-4)=F'(-4,4)</em>

<em>G(-2,-6)=G'(-6,2)</em>

<em>H(-7,-7)=H'(-7,7)</em>

Therefore, E prime is (-4,6), F prime is (-4,4), G prime is (-6,2) and H prime is (-7,7).

4 0
2 years ago
Help fast please!! Which expression is equivalent to..
mariarad [96]

Answer:

1/8 = 2³ * 2⁻⁶

Step-by-step explanation:

2³ * 2⁻⁶ = 2³⁻⁶ = 2⁻³ = 1/2³ = 1/(2*2*2) = 1/8

7 0
3 years ago
Who can help me with these questions
damaskus [11]
#15(A)
First Bike
$380 - $190 ($380 * 0.50) = $190

2nd Bike
$380 - $114 ( $380 * 0.30) = $266
$266 - $53.20 ($266 * 0.20) = $212.80

#15 (B)
Eliza should buy the first bike because it is cheaper. $190 < $212.80

#16
$57 + $28.50 ($57 * .50) = $85.50
6 0
3 years ago
You and your friend play a game. You answer 80% of the questions correctly and your friend answers 0.60 of the questions correct
bezimeni [28]

Answer:

5

Step-by-step explanation:

Assuming both players can answer the same question, the minimum number of questions is the smallest number that when multiplied by either 0.60 or 0.80 yields a whole number.

Let x be the number of questions, solving by trial and error:

if\ x=2\\x*0.8=1.6\\x*0.6=1.2\\\\if\ x=3\\x*0.8=2.4\\x*0.6=1.8\\\\if\ x=4\\x*0.8=3.2\\x*0.6=2.4\\\\if\ x=5\\x*0.8=4\\x*0.6=3\\\\

Therefore, the minimum number of questions in the game is 5.

5 0
3 years ago
A class of 40 students has 11 honor students and 10 athletes. three of the honor students are also athletes. One student is chos
nadezda [96]
I do believe your answer would be a 
4 0
3 years ago
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