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Anna71 [15]
3 years ago
7

The temputure outside changed from 86

Mathematics
1 answer:
Dovator [93]3 years ago
5 0

Answer:

?

Step-by-step explanation:

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If using the method of completing the square to solve the quadratic equation x^2 + 3x +21 =0?
goldfiish [28.3K]

Answer:

x= \dfrac 12 \left( -3 +i5\sqrt 3\right)\\\\x= \dfrac 12 \left( -3 -i5\sqrt 3\right)

Step-by-step explanation:

~~~~~~x^2 +3x +21 = 0\\\\\implies x^2 +3x = -21\\\\\implies x^2 + 2\cdot  \dfrac 32 \cdot x + \left( \dfrac 32 \right)^2 = -21 + \left( \dfrac 32 \right)^2\\\\\implies \left(x + \dfrac 32 \right)^2 = -21+\dfrac 94\\\\\implies \left(x + \dfrac 32 \right)^2 = -\dfrac{75}4\\\\\implies x+ \dfrac 32 = \pm\sqrt{-\dfrac{75}4 \right)\\\\\implies x + \dfrac 32 = \pm i \dfrac{5\sqrt 3}{2}\\\\\implies x = -\dfrac 32 \pm i \dfrac {5\sqrt 3}2\\\\\implies x = \dfrac 12 \left( -3 \pm  i5\sqrt 3\right)

8 0
2 years ago
Mrs.A can drive 450 miles in 9 hours. what is her unit rate? miles per hour
bixtya [17]

Answer:

50 mph

Step-by-step explanation:

Unit rate = 450/9 = 50 mph

6 0
3 years ago
Read 2 more answers
The perimeter of a shape will always be greater then the area of the shape
bazaltina [42]
Not necessarily. For example, you can have a rectangle whose dimensions are 12 and 6. Length is 12 and 6 is the width.

The area (length × width) of the rectangle will be 72.

The perimeter of the rectangle (2l + 2w) will be 36.

So, in this case, the area was double the perimeter and the perimeter was not greater than the area of the shape.

8 0
4 years ago
M ∠1 = ?<br><br> 40<br> 50<br> 130<br><br> pls help!!
snow_tiger [21]

Answer:

40

Step-by-step explanation:

In the triangle, there is a 90 degree angle and Angle 1 (what we are looking for) and the other angle, lets call is Angle 2.

Lets find Angle 2 first.

First of all, the angle between angle 40 and 90 can be found easily.

That angle (lets call it "x) and 40 and 90 make a straight angle (180 degrees). So we can write:

40 + x + 90 = 180

Lets solve for "x":

40 + x + 90 = 180

130 + x = 180

x = 180 - 130

x = 50

Now, This angle (50) and Angle 2 are same [vertical angles]

So,

Angle 2 = 50

Now, there are 180 degrees in 3 angles in a triangle. So for the triangle shown, we cacn write:

90 + Angle 1 + Angle 2 = 180

90 + Angle 1 + 50 = 180

Angle 1 + 140 = 180

Angle 1 = 180 - 140

<u>Angle 1 = 40</u>

4 0
3 years ago
Sophia's Diner sold 80 milkshakes last week. 90% of the milkshakes had whipped cream on top. How many milkshakes with whipped cr
Contact [7]
80 x 90/100 = 72

Therefore there were 72 milkshakes with whipped cream that were sold.
8 0
3 years ago
Read 2 more answers
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