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Debora [2.8K]
3 years ago
6

Use the table to identify the values of p and q that should be used to factor x2 + 3x – 10 as (x + p)(x + q).

Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0
<span>x^3 - 4x^2 - 7x + 10 = 0</span>
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Nicole is 56 inches tall and has an 84 inch shadow. Julie is standing next to Nicole and has a 96 inch shadow. How tall is Julie
Natalka [10]

Answer:

56+12=68.         68 inches

Step-by-step explanation:

julie‘s shadow is 12 inches taller than Nicole’ so you would just add 12 to 56.

7 0
3 years ago
3. At noon Lan is in his blue mini-van 300 km north of Makenna in her Bugatti. Lan heads south
LiRa [457]

Answer:

The rate at which the distance between them is changing at 2:00 p.m. is approximately 1.92 km/h

Step-by-step explanation:

At noon the location of Lan = 300 km north of Makenna

Lan's direction = South

Lan's speed = 60 km/h

Makenna's direction and speed = West at 75 km/h

The distance  Lan has traveled at 2:00 PM = 2 h × 60 km/h = 120 km

The distance north between Lan and Makenna at 2:00 p.m = 300 km - 120 km = 180 km

The distance West Makenna has traveled at 2:00 p.m. = 2 h × 75 km/h = 150 km

Let 's' represent the distance between them, let 'y' represent the Lan's position north of Makenna at 2:00 p.m., and let 'x' represent Makenna's position west from Lan at 2:00 p.m.

By Pythagoras' theorem, we have;

s² = x² + y²

The distance between them at 2:00 p.m. s = √(180² + 150²) = 30·√61

ds²/dt = dx²/dt + dy²/dt

2·s·ds/dt = 2·x·dx/dt + 2·y·dy/dt

2×30·√61 × ds/dt = 2×150×75 + 2×180×(-60) = 900

ds/dt = 900/(2×30·√61) ≈ 1.92

The rate at which the distance between them is changing at 2:00 p.m. ds/dt ≈ 1.92 km/h

5 0
3 years ago
If a student pours 19 1/4 cups of lemonade into containers that hold 3 1/2 cups each, how many containers can the student fill
hodyreva [135]

Answer:

The student will be able to fill  5 1/2 cups of lemonade.

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
49,254 find value of 9
Kitty [74]
It would be thousands
7 0
3 years ago
Read 2 more answers
Explain your answer so I can understand
Dmitrij [34]
If all the sides equal(1.2mi and he’s riding on all sides) then he would have to ride his path 6.25 times because 30 divided by 4.8 is 6.25 if he’s only riding on one side then he would ride his path 25 times because 30 divided by 1.2 is 25
7 0
3 years ago
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