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NemiM [27]
4 years ago
9

What number should be added to both sides of the equation to complete the square?

Mathematics
1 answer:
Studentka2010 [4]4 years ago
5 0

Answer:

16

Step-by-step explanation:

Given

x² + 8x = 4

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(4)x + 16 = 4 + 16, thus

(x + 4)² = 20 ← equivalent equation

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Find m∠MON<br> I have a hard time with theses
fredd [130]

Answer:

m∠MON = 15°

Step-by-step explanation:

The given parameters are;

m∠LON = 77°

m∠LOM = 9·x + 44°

m∠MON = 6·x + 3°

By angle addition postulate, we have;

m∠LON = m∠LOM + m∠MON

Therefore, by substituting the known values, we have;

∴ 77° = 9·x + 44° + 6·x + 3°

77° = 9·x + 44° + 6·x + 3° = 15·x + 47°

77° = 15·x + 47°

77° - 47° = 15·x

15·x = 77° - 47° = 30°

15·x = 30°

x = 30°/15 = 2°

x = 2°

Given that m∠MON = 6·x + 3° and x = 2°, we have;

m∠MON = 6 × 2° + 3° = 12° + 3° = 15°

m∠MON = 15°.

3 0
3 years ago
Find the probability of at least 2 girls in births. Assume that male and female births are equally likely and that the births ar
tiny-mole [99]
We assume that male and female births are equally likely, it means that the probability of birth of male= probability of birth of female = 100%/2=50% or 0.5We have 2 independent events. So what will be the variants:
Male and FemaleMale  and Male Female and Male Female and Female 
All four variants are equally likely.Probability of each one is 1/4 = 0.25.So, Result "Female and Female"
 are probability = 0.250 --- if round to three decimal places.
6 0
3 years ago
Anoosha tries to calculate 7% of 1250.
AlekseyPX

Answer:

87.5

Step-by-step explanation:

Anoosha multiplied 0.7 times 1250 incorrectly kinda daft from Anoosha tbf

4 0
3 years ago
(7^x)^y = 7 <br> What is x • y?
baherus [9]

Answer:

1

Step-by-step explanation:

It simplifies to 7^xy=7. That means that xy must equal 1 to make the equation true.

8 0
2 years ago
Evaluate the expressions for x=6 3x +5= ? X^3-10=?
pickupchik [31]

Answer:

x^3-10 is greater

Step-by-step explanation:

3(6)+5=18+5=23

6^3-10=206

206>23

5 0
3 years ago
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