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noname [10]
3 years ago
13

Factor t^2 - 5t + 6. Type your answer in the space provided. Do not type spaces in your answer. Use only lowercase letters and i

nclude all necessary parentheses, variables and operation signs. For example, if the answer is (x +1)(x+2), type (x+1)(x+2).
Mathematics
1 answer:
grandymaker [24]3 years ago
6 0

Answer:

(x-3) * (x-2

Step-by-step explanation:

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Zach's movie collection contains 8 movies, including 4 dramas. What is the probability that a randomly selected movie will be a
ZanzabumX [31]

Answer:

P(drama) = 1/2 or 50%

Step-by-step explanation:

The possibility of the selected movie to be a drama is 4/8, or 1/2, or also can be written as 50% or 0.5

Hope it helps :)

8 0
2 years ago
Jamal bikes 5 miles in 20 minutes, or of an
anyanavicka [17]
Jamal would bike further in
5 0
2 years ago
1. Assume O P || NM.
ipn [44]

1. Assuming OP || NM, considering the triangle proportionality theorem possible measurements for the segments are: ON = 3 units, LO = 1 unit, PM = 6 units, LP = 2 units

2. The possible values are decided by assuming  \frac{ON}{LO} = \frac{PM}{LP} = 3 using the triangle proportionality theorem.

3. Another method is applying the AA Similarity Theorem to compare corresponding side lengths of the triangles that are proportional to each other.

<h3>What is the Triangle Proportionality Theorem?</h3>

Triangle proportionality theorem states that if a line is parallel to one of the sides of a triangle intersects two of the other two sides, it divides the two sides into proportional corresponding segments.

1. Assuming that OP || NM, we would apply the triangle proportionality theorem to have the following ratio:

\frac{ON}{LO} = \frac{PM}{LP}

Using the above ratio, we can choose the following possible lengths for the segments:

ON = 3 units

LO = 1 unit

PM = 6 units

LP = 2 units

2. The values are decided assuming that the ratio, \frac{ON}{LO} = \frac{PM}{LP} = 3

This means that the ratio of the proportional segments, irrespective of the their measurement should give you an assumed equal ratio of 3:1.

Therefore, since:

\frac{3}{1} = 3\\\\\frac{6}{2} = 3

The measurements, ON = 3 units, LO = 1 unit, PM = 6 units, LP = 2 units are therefore possible measurements.

3. Using the AA Similarity Theorem to prove that ΔLPO ≅ ΔLMN, the corresponding sides of both triangles will be proportional.

LP/LM = LO/LN = PO/MN

We can use this to choose possible measurements while assuming a ratio between the proportional sides of both triangles.

Let's assume that: LP/LM = LO/LN = PO/MN = 1/4

Let,

LO = 1 unit

LN = 4 units

Therefore, ON = LN - LO = 4 - 1 = 3 units.

Same way the other possible measures can be gotten provided a ratio is assumed.

Learn more about triangle proportionality theorem on:

brainly.com/question/24804474

4 0
2 years ago
I take half of Jeremy's money and divide it into 7 equal piles. Six of these piles blow away in the wind, but from the seventh p
madreJ [45]
$140 dollars,
Using the equation (1/2)J/7=x. J=Jeremy's total money.7 because it was divided into 7 piles. Then, since 6 piles are blown away, we don't need to care about that for now. After that, you take 2 dollars and give the rest to Jeremy which is 8 dollars. You can create the equation x-2=8. Solve for x which is $10. Finally substitute that into the first equation to get (1/2)J=70. Multiply 2 to both sides to cancel out the (1/2) and the 70 by 2 to get Jeremy's total money which is $140

5 0
3 years ago
What is the discriminant of the quadratic equation -7x^2+8x+8=0−7x <br> 2<br> +8x+8=0?
Nikitich [7]

Answer:288

Step-by-step explanation:

Delta math

7 0
2 years ago
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