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True [87]
3 years ago
12

Use the quadratic formula to solve the quadratic equation x2 − 8x − 4 = 0.

Mathematics
1 answer:
mixas84 [53]3 years ago
4 0
Hello here is a solution :
<span>x² − 8x − 4 = 0.
</span><span>quadratic equation   ax²+bx+c = 0  when :  a=1 and b= -8 and c = -4
discriminant : d = b²-4ac       d= (-8)²-4(1)(-4) =64+16 =70
x= (-b-rot(d))/2a          </span>x'= (-b+rot(d))/2a    .......conrinu
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Identify the segments that are parallel, if any, if ∠DCB and ∠CDA are supplementary.
Triss [41]

Answer:

C

Step-by-step explanation:

We are given that

\angleDCB and \angleCDA are supplementary.

We have to identify the parallel segments if \angleDCB and \angleCDA are supplementary.

Supplementary angles: If the angles are supplementary then the sum of two angles is 180 degrees.

Therefore,

\angle DCB+\angle CDA=180^{\circ}

Therefore, angle DCB and angle CDA are interior angles .

Because CA is a transversal line and sum of interior angles is 180 degrees.

When the sum of interior angles formed between two lines  and on same side of transversal line is 180  degrees. Then the lines are parallel.

Therefore, angle DCB and angle CDA are formed between line AD and BC.

Hence, AD is parallel to BC.

Option C is correct.

8 0
3 years ago
What is the Ratio of 472 and 482?
Lemur [1.5K]
The answer to your question is

answer: 236/241

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How do I divide 2 divided 898
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Probably with division
4 0
3 years ago
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Four ingredients costing $320 per kg $240 per kg $160 per kg and $85 kg are mixed so that air masses are in the ratio 4:1:3:2. c
Hoochie [10]

Answer:

2160

Step-by-step explanation:

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The anithistamine Benadryl is often prescribed for allergies. A typical dose for a 100-pound person is 25 mg every six hours. Fo
Firdavs [7]

Answer:

56 chewable tablets

280mL liquid Benadryl

Step-by-step explanation:

For the first part:

First we need to find out how many tablets of 12.5mg would we need per dose.

1 dose is 25 mg and the tablets are in 12.5 mg form.

1 dose = \dfrac{25mg}{12.5mg} = 2

That would mean you would need 2 tablets per dose.

Next you need to calculate how many times a day it needs to be taken. A day has 24 hours and it needs to be taken every 6 hours.  Just divide 24 hours by 6 hours. So that would mean that it needs to be taken 4 times a day.

Next we need to see how many times a week it should be taken and you can get that by multiplying the number of times a day by the number of days a week.

4 x 7 = 28 times

Lastly, you multiply the number of times a week by the number of tablets per dose.

28 times a week x 2 tablets = 56 tablets.

For the second part:

12.5 mg/5mL

The needed dose is 25 mg so we need to find how many mL is needed for 25 mg. 12.5mg is only have of 25 mg we need to double it to attain the correct dosage.

\dfrac{12.5mg}{5mL} x \dfrac{2}{2} = \dfrac{25mg}{10mL}

This means that for every 25 mg, you will need to give 10mL.

Again we do the same procedure as the first to decide how much liquid Benadryl you need to give in a week. We know that based on the previous that we need to administer this 28 times a week, so just multiply the number of mL per dose by the number of times per week.

10mL x 28 = 280mL

4 0
3 years ago
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