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crimeas [40]
3 years ago
8

What is the akis of symmetry y=2x^2-8x+1

Mathematics
1 answer:
nika2105 [10]3 years ago
5 0

Answer:

2

Step-by-step explanation:

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Heather is my planning a dessert display. She needs 6 ounces of strawberries for each dessert. Part A Heather is not sure how ma
Fed [463]

Answer:

Part A: y=6x

Part B: 36=6x

divide both sides by 6

(36/6 =6) and (6/6)

6=x

Step-by-step explanation:

3 0
3 years ago
2.The diagonals of a rhombus are in the ratio 5:12. If its perimeter is 104 CM, findthe lengths of the sides and the diagonals.​
coldgirl [10]

Answer:

Lenghts of the sides: 26\ cm

Lenghts of the diagonals: 48\ cm and 20\ cm

Step-by-step explanation:

Look at the rhombus ABCD shown attached, where AC and BD de diagonals of the rhombus.

The sides of a rhombus have equal lenght. Then, since the perimeter of this one is 104 centimeters, you can find the lenght of each side as following:

AB=BC=CD=DA=\frac{104\ cm}{4}= 26\ cm

You know that the diagonals are in the ratio 5:12

Then, let the diagonal AC be:

AC=12x

This means that AE is:

AE=\frac{12x}{2}=6x

And let the diagonal BD be:

BD=5x

So BE is:

BE=\frac{5x}{2}=2.5x

Since the diagonals of a rhombus are perpendicular to each other, four right triangles are formed, so you can use the Pythagorean Theorem:

a^2=b^2+c^2

Where "a" is the hypotenuse and "b" and "c" are the legs.

In this case, you can choose the triangle ABE. Then:

a=AB=26\\b=AE=6x\\c=BE=2.5x

Substituting values and solving for "x", you get:

26^2=(6x)^2+(2.5x)^2\\\\676=36x^2+6.25x^2\\\\\sqrt{\frac{676}{42.25}}=x\\\\x=4

Therefore, the lenghts of the diagonals are:

AC=12(4)\ cm=48\ cm

BD=5(4)\ cm=20\ cm

8 0
3 years ago
Since BC is parallel to DE, triangles ABC and ADE are similar. What are the lengths of the unknown sides?
polet [3.4K]

Answer:

Since we have BC ║ DE, we know that:

AB/AD = BC/DE

12/(12 + 4) = BC/12

12/16 = BC/12

BC = (12 · 12)/16 = 9 (in)

Applying the pythagorean, we have:

AB² + BC² = AC²

12² + 9²     = AC²

225           = AC²

AC             = √225 = 15 (in)

Using the information about the parallel lines again, we have:

AC/CE = AB/BD

15/CE = 12/4

CE = (15 · 4)/12 = 5 (in)

So the answer is B

5 0
3 years ago
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Add 5 3/4+ -1/4 plzzzzzzzzzzz helppppppp 10pts
bearhunter [10]

Answer:

i think 5.5

Step-by-step explanation:

4 0
3 years ago
How long would it take an investment of $1200 to grow to $2400 if interest is calculated at 6.0% per year compounded annually?
erastova [34]

Answer:

2 years

Step-by-step explanation:

6 0
3 years ago
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