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asambeis [7]
3 years ago
13

Write the quadratic equation y=x^2-6x+7 in vertex form

Mathematics
1 answer:
Mazyrski [523]3 years ago
4 0
Using the formula x = b/(-2a) to find the x of the vertex you can find y of the vertex and plug into y = a(x - h)² + k where (h, k) is the vertex

h = x = -6/(-2×1) = 3
k = y = (3)² - 6(3) + 7 = -2
a = 1 because it is the coefficient of x² in y = ax² + bx + c

Answer: y = (x - 3)² - 2
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Use slopes and y-intercepts to determine if the lines 10x+3y=−3 and 5x−4y=−3 are parallel.
kvasek [131]

Answer:

They are not parallel

Step-by-step explanation:

original equation

10x + 3y = -3

subtract 10x

3y = -10x - 3

divide by 3

y = -10/3x - 1

original equation

5x - 4y = -3

subtract 5x

-4y = -5x-3

divide by -4

y = 5/4x + 3/4

the slopes are not equal to each other (5/4x and -10/3x) so they are not parallel

4 0
1 year ago
Use the formula you learned to answer the question. If a dogsled team travels 4 kilometers in 8 minutes, what is the speed of th
bonufazy [111]

Answer

C-0.5km

Step-by-step explanation:

you can simplify both the kilometers and minutes to 1 kilometer in 2 minutes or 0.5 kilometer in 1 minute.  Hope this helps!

6 0
3 years ago
Tanya has a garden with a trench around it. The garden is a rectangle with length 2.5m and width 2m. The trench and the garden t
Drupady [299]

Answer:

5.5m^2

the area of just the trench is 5.5 m^2

Step-by-step explanation:

The Area of trench only is the total area(trench and garden) minus the Area of garden

Area of trench only = total area(trench and garden) - Area of garden

Area = length × breadth

Substituting the given dimensions;

Total area = 3.5 × 3 = 10.5 m^2

Area of garden = 2.5×2 = 5 m^2

Area of trench only = 10.5 m^2 - 5 m^2

Area of trench only = 5.5m^2

the area of just the trench is 5.5 m^2

8 0
3 years ago
Read 2 more answers
Hello could anyone tell me what 12 plus 14 times 2000 divided by 13 is?
sveticcg [70]
The exact answer is 2,165.846153846154
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5 0
2 years ago
Yes help pls giving brainlest
lesya [120]

Answer:

1 and 7/12 hours

Step-by-step explanation:

2 and 1/3 is the whole. You need to subtract 3/4. To bring both of these to the same denominator, multiply each fraction by the others denominator. That means 1/3 is now 4/12 and 3/4 is now 9/12. They can now be subtracted. 2 and 4/12 - 9/12 = 1 and 7/12.

5 0
3 years ago
Read 2 more answers
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