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aliya0001 [1]
3 years ago
8

the line of symmetry of a parabola whose equation is y = ax ^ 2 - 4x + 3 is =-2 what is the value of "a"

Mathematics
1 answer:
77julia77 [94]3 years ago
5 0
Y= ax² -4x +3

-b/2a is x - coordinate of the vertex,
line of symmetry x=-2, x=-2 is a coordinate of the vertex also, because the line symmetry has vertex.

x= -b/2a
x= -2, b= -4
-2=-(-4)/2a
-2=4/2a
-2=2/a
a=2/(-2)=-1
a= - 1 
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ashley spends $12 to buy 3 pencils and 6 rulers. Jack spends $8 to buy 5 pencils and 2 rulers. what is the cost of 2 pencils and
Sveta_85 [38]

Answer:

$ 3 left ashley money

$ 1 left  jacks money

$ 8 left ashley money

$ 4 left jacks money

Step-by-step explanation

3 pencils + 6 rulers = 12 - 9 = 3

5 pencils +  2 rulers = 8 - 7 = 1

12 - 4 = 8

8 - 4 = 4

6 0
3 years ago
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Six friends equally share the cost of a gift. They pay $90 and receive $42 in charge . How much does each friend pay?
sergij07 [2.7K]

Answer:

$8.00

Step-by-step explanation:

Let's set up the equation first.

What do we know:

1. We have 6 friends spliting the costs of the gifts

2. After purchasing the gifts they have $42 in change

3. They originally had $90 to spend.

Equation:

6f + $42 = $90

Next: Subtract the $42 from each side and we are left with:

6f = $48

Divide both sides by 6 and we are left with

f = $8

Since f represented the cost each friend spent our answer is $8.00

3 0
3 years ago
Find the equation of the line that contains the point (4, - 2) and is perpendicular to the line y = - 2x + 5. ​
Licemer1 [7]
<h3>Answer:</h3>

y=1/2x

<h3>Solution:</h3>
  • The slopes of perpendicular lines are opposite reciprocals of each other.
  • The simplest way to determine a number's reciprocal is to flip it over, like so:
  • -2 ~ - > -\displaystyle\frac{1}{2}
  • Now, change the sign:
  • \displaystyle\frac{1}{2}
  • So we have the <em>slope </em>of the line that's <em>perpendicular </em>to the given line.
  • Now, let's find the line's equation.
  • First, let's write it in Point-Slope Form:
  • y-y1=m(x-x1)
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  • Now, convert to slope-intercept:
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  • y=1/2x

Hope it helps.

Do comment if you have any query.

5 0
2 years ago
Read 2 more answers
-12 increased by half of a number is 28. What is the number
Nadya [2.5K]

Answer:

80

Step-by-step explanation:

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So, the answer is 80

To check: -12 + 40 (half of a number; 80) = 28

Hope this makes sense. If you require further information, do not hesitate to ask!

3 0
2 years ago
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