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ludmilkaskok [199]
2 years ago
11

X^2 - 16 = 0 by extracting the square root​

Mathematics
1 answer:
scoray [572]2 years ago
6 0

Answer:

  • {-4, 4}

Step-by-step explanation:

  • x² - 16 = 0
  • x² = 16
  • x = √16
  • x = ± 4
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Write the point-slope form of the line that passes through (5, 5) and is PARALLEL to a line with a slope of 1/4. Include all of
lesya692 [45]
Parallel lines will have the same slope

y - y1 = m(x - 1)
slope(m) = 1/4
(5,5)...x1 = 5 and y1 = 5
now we sub
y - 5 = 1/4(x - 5) <==== ur parallel line
==================
perpendiculr lines will have a negative reciprocal slope. To find the negative reciprocal, u flip the number and change the sign. So the negative reciprocal of 1/4 is -4....see how I flipped 1/4 and made it 4/1...then changed the sign making it -4/1 or just -4. That will be ur slope of the perpendicular line.

y - y1 = m(x - x1)
slope(m) = -4
(5,5)...x1 = 5 and y1 = 5
now we sub
y - 5 = -4(x - 5) <=== ur perpendicular line
4 0
3 years ago
The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 4016
hodyreva [135]

Answer:

Required Probability = 0.97062

Step-by-step explanation:

We are given that the weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 4016 grams and a standard deviation of 532 grams.

Let X = weight of the newborn baby, so X ~ N(\mu=4016 , \sigma^{2} = 532^{2})

The standard normal z distribution is given by;

              Z = \frac{X-\mu}{\sigma} ~ N(0,1)

Now, probability that the weight will be less than 5026 grams = P(X < 5026)

P(X < 5026) = P( \frac{X-\mu}{\sigma} < \frac{5026-4016}{532} ) = P(Z < 1.89) = 0.97062

Therefore, the probability that the weight will be less than 5026 grams is 0.97062 .

5 0
3 years ago
Find the area of r = 4.5
Gnom [1K]
<span><span><span><span><span><span><span><span>here ya go 14.13</span></span><span><span /></span><span><span><span><span>m</span></span></span><span><span><span>2 </span></span></span></span></span></span></span></span></span></span><span>A≈14.13⁢m2</span>
6 0
3 years ago
If you have 2 gallons of juice, how many quarts do you have
Alexeev081 [22]

Answer:

Yessssir OwO UnU UwU TwT =.= -.- :p :3 :c c: Ahhhh OOPS I GOT TOO DISTRACTED TO ANSWER UR QUESTION... if u have 2 gallons of juice u will have 8 quarts.

Step-by-step explanation:

dis is becuzzzz 4 quarts equal a gallon

so now times it by 2 by 2 because were doing 2 gallons not just one misssy :3

hope that helped bye byeessss UwU

6 0
3 years ago
10. Solve:6 - 2(x + 6) = 3x +4<br> x = -2<br> x = 2<br> x=-10<br> x = 10
ololo11 [35]

Answer:

x = -2

Step-by-step explanation:

6 - 2(x + 6) = 3x +4

6 -2x - 12 = 3x + 4

6 - 12 - 2x = 3x + 4

-6 -2x = 3x +4

-6 - 4 - 2x = 3x + 4 - 4

-10 -2x = 3x

-10 -2x + 2x = 3x + 2x

-10 = 5x

-10 / 5 = 5x/5

x = -2

I hope this helps!!

4 0
3 years ago
Read 2 more answers
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