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NISA [10]
3 years ago
5

What linear function represents the line given by the point slope equation y + 1 = -3(x - 5)​

Mathematics
1 answer:
Elena L [17]3 years ago
4 0

Answer:

y=-3x+14

Step-by-step explanation:

y+1=-3(x-5)

y=-3x+15-1

y=-3x+14

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What value of $k$ will make $4x^2 - 20x + k$ the square of a binomial?
Arisa [49]

Answer:

k = 25

Step-by-step explanation:

(2x  - sqrt(k) )^2              Expand this as a binomial                          

4x^2 - 4x*sqrt(k) + k      The middle term must be -20x Solve for k so it is

-4xsqrt(k) = - 20x            Divide by -4x

sqrt(k) = -20x/-4x             Do the division

sqrt(k) = 5                         Square both sides

k = 25


5 0
3 years ago
What is the answer to this? help, please​
notka56 [123]
<h3>Answer: angle 1 (choice A)</h3>

This is because angles 1 and 4 are vertical angles. Such angles form whenever we have an X shape like this. Vertical angles are always opposite one another and they are always the same measure. The fact that lines k and l are parallel has no relevance (so they could easily be not parallel and the two angles mentioned are still congruent).

4 0
3 years ago
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Find tue volume of following
kompoz [17]
Whereas the basic formula for the area shape is length x width the basic formula for volume is length x width c height
4 0
2 years ago
If a rectangle is inscribed in a circle, each diagonal also serves another function. What is this function?
Kipish [7]

Answer:

A right triangle inscribed in a circle must have its hypotenuse as the diameter of the circle.

Step-by-step explanation:

A rectangle is made of two right triangles then a rectangle inscribed in a circle must have its diagonal as the diameter of the circle. Hope this helps

7 0
2 years ago
Read 2 more answers
A batch of 580 containers for frozen orange juice contains 8 that are defective. Two are selected, at random, without replacemen
serious [3.7K]

Answer:

a. 0.12109

b. 0.0001668

c .0.9726

d. 0.01038

e. 0.01211

f. 0.000001731

Step-by-step explanation:

Sample size = 580

Defective units = 8

Number of picks = 2

a) If the first container is defective, there 7 defective containers left in a population of 579. The probability of selecting a defective one is:

P=\frac{7}{579}=0.121

b) The probability that both are defective is given by:

P=\frac{8}{580}*\frac{7}{579}= 0.000167

c) The probability that both are acceptable is given by:

P=\frac{580-8}{580}*\frac{579-8}{579}= 0.9726

d) In this case, two defective units were removed from the batch, the probability that the third is also defective is:

P=\frac{6}{578}}= 0.0104

e) In this case, one acceptable and one defective unit were removed from the batch, the probability that the third is also defective is:

P=\frac{7}{578}= 0.01211

f) The probability that all three are defective is given by:

P=\frac{8}{580}*\frac{7}{579}*\frac{6}{578} = 0.000001731

7 0
3 years ago
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