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3 years ago

What are the zeros of f(x) = x2 - 12x + 36?

Mathematics

1 answer:

Otrada [13]3 years ago

4 0

Answer:

A X=6 only

Step-by-step explanation:

${x}^{2} - 12x + 36 = 0\\ x {}^{2} - 6x - 6x + 36 = 0 \\ x(x - 6) - 6(x - 6) = 0 \\ (x - 6)(x - 6) = 0 \\ x - 6 = 0 \: \: \: \: \: or \: \: \: \: \: x - 6 = 0 \\ x = 6 \: \: \: \: or \: \: \: \: \: x = 6$

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Answer only if you know HELP PART A AND PART B

VARVARA [1.3K]

Answers:

Part A) There is one pair of parallel sides
Part B) (-3, -5/2) and (-1/2, 5/2)

====================================================

Explanation:

Part A

By definition, a trapezoid has exactly one pair of parallel sides. The other opposite sides aren't parallel. In this case, we'd need to prove that PQ is parallel to RS by seeing if the slopes are the same or not. Parallel lines have equal slopes.

------------------------

Part B

The midsegment has both endpoints as the midpoints of the non-parallel sides.

The midpoint of segment PS is found by adding the corresponding coordinates and dividing by 2.

x coord = (x1+x2)/2 = (-4+(-2))/2 = -6/2 = -3

y coord = (y1+y2)/2 = (-1+(-4))/2 = -5/2

The midpoint of segment PS is (-3, -5/2)

Repeat those steps to find the midpoint of QR

x coord = (x1+x2)/2 = (-2+1)/2 = -1/2

y coord = (x1+x2)/2 = (3+2)/2 = 5/2

The midpoint of QR is (-1/2, 5/2)

Join these midpoints up to form the midsegment. The midsegment is parallel to PQ and RS.

7 0

3 years ago

Use the dot plot to answer the question.

Tcecarenko [31]

Answer:

Mean of the data set in the dot plot would be: 3.6

Step-by-step explanation:

As we know that Mean from the dot plot can be obtained by:

adding the numbers and then
divide the resulting sum by the number of addends.

Please check the attached figure where the dot plot is also plotted.

From the dot plot, it is clear that

There are 3 dots at 1.

There are 4 dots at 2.

There are 3 dots at 3.

There are 4 dots at 4.

There are 5 dots at 5.

There are 3 dots at 6.

All we have to do is to add the dots and divide the sum by the number of addend dots.

In other words:

There are 3 dots at 1 ⇒ 1+1+1

There are 4 dots at 2 ⇒ 2+2+2+2

There are 3 dots at 3 ⇒ 3+3+3

There are 4 dots at 4 ⇒ 4+4+4+4

There are 5 dots at 5 ⇒ 5+5+5+5+5

There are 3 dots at 6 ⇒ 6+6+6

As there are total 22 dots.

And the sum of all the dots with respect to their plot number = 79

i.e. 1+1+1+2+2+2+2+3+3+3+4+4+4+4+5+5+5+5+5+6+6+6 = 79

Thus

Mean of the data set in the dot plot = 79/22

= 3.6

Therefore, Mean of the data set in the dot plot would be: 3.6

4 0

3 years ago

An article is bought for Rs. 125 what is the profit percentage?

Aneli [31]

Step-by-step explanation:

Solution given;

cost price=Rs125

profit%=?

we have

profit%=[Selling price-cost price]/cost price×100%

=[selling price-Rs.125]/Rs 125×100% is your answer

7 0

3 years ago

Here are two offers for batteries.

trapecia [35]

OFFER A is cheaper.

Step-by-step explanation:

Given,

OFFER A

Pack of 5

£2.75

Pay for 3 packs get 1 free

And

OFFER A

Pack of 5

£2.75

Pay for 3 packs get 1 free

To find which offer is cheaper.

For OFFER A

For 4 Packets he needs to pay £2.75

He needs to buy 40 batteries.

He needs to buy 40÷(4×5) = 2 packets.

Total cost = £2.75 ×2 = £5.5

For OFFER B

For 4 Packets he needs to pay £2.52

He needs to buy 40 batteries.

He needs to buy 10 packets.

After discount he has to pay = £2.52 -(£2.52 × $\frac{1}{3}$ ) = £1.68

Total cost = £1.68×10 = £16.8

Hence,

OFFER A is cheaper.

7 0

3 years ago

H(t) = -10+ - 6 h()= -44

lesya [120]

Answer:

-44

Step-by-step explanation:

4 0

3 years ago