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gtnhenbr [62]
2 years ago
6

Find the coordinates of the vertex of the following parabola using graphing

Mathematics
1 answer:
larisa [96]2 years ago
5 0
Find the coordinates of the vertex of the following parabola using graphing
technology. Write your answer as an (x, y) point.
y = 3x^2-12x + 21 it’s -1
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Determine the slope of the line through the given points. If the slope is​ undefined, so state. ​(3​,2​) and ​(6​,11​)
agasfer [191]

Answer:

The slope is 3

Step-by-step explanation:

We can find the slope by using

m = (y2-y1)/(x2-x1)

   = (11 -2)/(6-3)

   = 9/3

    = 3

6 0
2 years ago
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The length of a rectangle is (x + 1) cm and its width is 5cm less than its length.
NeX [460]

Answer:

a) the area of a square is in terms of x is

(x+1)^2 centimeter square

b)The length of the rectangle is l = (x+1)

                                       l = 7+1 =8 cm

The width of the rectangle is w = [(x+1)-5]

                                     w = (7+1)-5 =3 cm

Step-by-step explanation:

a) the area of a square is in terms of x is

 area of square is l^{2} = (x+1)(x+1)

                                 = (x+1)^2

b)  Given length is  l = (x+1) cm and

the width is 5 cm less than its length.

so we have take width is w = (x+1)-5 cm

Given area of triangle is  24 cm

Area of rectangle = length X width

24  =  (x+1)(x+1 -5 )

now simplification 24 = (x+1)^2 - 5 (x+1)

apply (a+b)^2 = a^2+2 a b+b^2

x^2+2 x+1-5 x-5 =24

x^2 -3 x -4-24=0

x^{2} -3 x -28 =0

now find factors of 28  = 7 X 4 is  

x^{2} -7 x+4 x-28=0

x(x-7)+4(x-7)=0

(x+4)(x-7)=0

x = -4 and x=7

there fore you have to choose x = 7

The length of the rectangle is l = (x+1)

                                       l = 7+1 =8

The width of the rectangle is w = [(x+1)-5]

                                     w = (7+1)-5 = 3

<u>Verification:-</u>

Given area of rectangle  = 24 = 8 X 3

                                           24 =24

so we can not choose x=-4

we have to choose x =7 only

7 0
3 years ago
Emerson earns money from walking dogs and answering surveys. He earns $5 a week for each dog he walks and $0.10 for each survey
maria [59]
Part A: X=(35-(100*0.10))/5  35= 5X+(100*0.10)
Where X is the number of dogs he walked.

Part B: To solve the equation just simplify it by using inverse operations. It should give you 5 dogs walked. The algebraic property justifying this is inverse operations.

Part C: Emerson walked 5 dogs last week.

8 0
2 years ago
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PLEASE HALP I GIVE OUT BRAINLIEST
jekas [21]

Since there is two negative signs in the original equation, you need two negative signs in the equivalent one as well.

Because one of the negatives if before the fraction, it doesn't matter if the second negative is on the 13 or on the 12.

The answer is A.

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2 years ago
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Draw the image of ABC under a dilation whose center is P and scale factor is 1/3
viktelen [127]

Answer:

THE FIRST OPTION

Step-by-step explanation:

3 0
2 years ago
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