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Elodia [21]
2 years ago
9

X²+x+7=0

Mathematics
1 answer:
Basile [38]2 years ago
6 0

Answer:

See below ~

Step-by-step explanation:

<u>Finding the discriminant</u>

  • √b² - 4ac
  • √(1)² - 4(1)(7)
  • √-27

⇒ <u>The discriminant is -27.</u>

⇒ <u>Because the discriminant is less than 0, the two roots are complex.</u>

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tom's garage is 12 feet tall and 20 feet wide. he wants to build a scale model of his garage for his sons play cars. tom wants t
Taya2010 [7]

Answer:

15 inches

Step-by-step explanation:

12 inches = 1ft

12ft = 144 inches

144/9 = 16

20ft = 240 inches

240/16 = 15 inches

8 0
3 years ago
Read 2 more answers
3. Look at the figure below. (note that the figure is not drawn to scale).
blagie [28]
It d and Zazc I hope this helps
5 0
3 years ago
If a rectangular patio has a length that is 5 feet longer than its width and a perimeter of 54 feet, solve for the length.
BlackZzzverrR [31]

Answer: (3)

Step-by-step explanation:

In this problem, we don't know the length or width. All we do know is that the length is 5 feet longer than the width, and that the perimeter is 54 feet. Both lengths plus both widths equals the perimeter. To solve this problem, you must give the width, the value of x.

Step 1: Draw a rectangle where the width is x and the length is x + 5.

Step 2: Find the sum of the lengths and the sum of the widths

2 times the length plus 2 times the width equals the perimeter

2(x + 5) + 2(x) = 54

Step 3: Solve for the width

2(x + 5) + 2(x) = 54

2x + 10 + 2x = 54 (Distributive Property)

4x + 10 = 54 (Group Like Terms)

4x = 44 (Subtraction Property of Equality)

4x/4 = 44/4

x = 11 (Division Property of Equality)

x = width = 11

Step 4: Solve for the length

x + 5 = length

11 + 5 = 16

Length = 16. So (3) must be the answer.

4 0
3 years ago
A motorist left town X at 08 00 for town Y situated 120km away, travelling at a constant speed of v km/hr, so as to arrive at Y
mote1985 [20]
<span>v = 45 km/hr u = 72 km/hr Can't sketch the graph, but can describe it. The Y-axis will be the distance. At the origin it will be 0, and at the highest point it will have the value of 120. The X-axis will be time in minutes. At the origin it will be 0 and at the rightmost point, it will be 160. The graph will consist of 3 line segments. They are 1. A segment from (0,0) to (80,60) 2. A segment from (80,60) to (110,60) 3. A segment from (110,60) to (160,120) The motorist originally intended on driving for 2 2/3 hours to travel 120 km. So divide the distance by the time to get the original intended speed. 120 km / 8/3 = 120 km * 3/8 = 360/8 = 45 km/hr After traveling for 80 minutes (half of the original time allowed), the motorist should be half of the way to the destination, or 120/2 = 60km. Let's verify that. 45 * 4/3 = 180/3 = 60 km. So we have a good cross check that our initial speed was correct. v = 45 km/hr Now having spent 30 minutes fixing the problem, out motorist now has 160-80-30 = 50 minutes available to travel 60 km. So let's divide the distance by time: 60 / 5/6 = 60 * 6/5 = 360/5 = 72 km/hr So the 2nd leg of the trip was at a speed of 72 km/hr</span>
6 0
3 years ago
Read 2 more answers
For f(x) = 4x2 + 13x + 10, find all values of a for which f(a) = 7.
sammy [17]

Answer:

0.84

Step-by-step explanation:

4x2+13a+10=7

13a=7-10-8

13a=-11

a=-11:13

a=0.84

4 0
3 years ago
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