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bagirrra123 [75]
3 years ago
15

Write the number and the nature of the roots of the quadratic equation whose discriminant is -12

Mathematics
1 answer:
Orlov [11]3 years ago
7 0
Hello
<span>D. 2 imaginary roots (complex conjugates)</span>
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The midpoint of AB is M(0, -3). If the coordinates of A are (6, -5), what are the
ELEN [110]

Answer:

(-6,-1)

Step-by-step explanation:

let b be x2,y2

then apply mid point formula

x=(x1+x2)/2

y=(y1+y2)/2

5 0
3 years ago
a goat tethered to a stake by a rope has grazed the meadow over an area of 12.56msqare around it stretching the rope. i) what is
Nikolay [14]

Answers:

length of rope = 2 meters

perimeter of meadow = 12.56 square meters

=========================================================

Explanation:

Assuming there are no structures (buildings, fences, etc) to get in the way of the goat, this means the goat's area that it can roam is a circle with radius r

The area of the circle is pi*r^2 which is equal to 12.56 square meters

pi*r^2 = 12.56

3.14*r^2 = 12.56

r^2 = 4

r = sqrt(4)

r = 2

The radius of the circle is 2 meters. This is the length of the rope. If the goat goes out as far as it can go, and tries to move left/right, then it will trace out a circle of radius 2. This is assuming the rope is kept fully taut the entire time.

The perimeter of the circle is the same as the circumference

circumference = 2*pi*r

circumference = 2*pi*2

circumference = 4*pi

circumference = 4*3.14

circumference = 12.56

The circumference and area are the same because r^2 = 4 and 2*r = 4 when r = 2. For any other positive r value, the area and circumference will be different values.

So in short, if a friend says that the area of a circle is the same as its perimeter, then you can immediately conclude the radius is 2.

Side note: throughout all of this solution, I used the approximation pi = 3.14 though pi has more decimal digits

7 0
3 years ago
Read 2 more answers
I really need the answers for these I don't understand this
Yuri [45]
I tryed my best to figure out what all of the numbers were. if i got any wrong then please tell me and i will put the right answer in the comments.

1) 3/5= 5/x   (cross multiply)
     3x=5(5)
     3x=25
       x= 25/3 -or- 8.33

2) 2/4=x/12<span>   (cross multiply</span><span>)
</span> 2(12)=4x
     24=4x
       6=x
3) 10/x=5/9<span>   (cross multiply</span><span>)
   10(9)=5x
       90=5x
       18=x
4) 5/5=x/18</span><span>   (cross multiply</span><span>)
 5(18)=18x
     90=18x
       5=x</span>
8 0
3 years ago
In this investigation, you will be solving and interpreting several rate problems. Be sure to show your calculations.
tankabanditka [31]

1. 12 mph, 24 miles

2. m=4, y=22

3.15/1, $1500

4. x=30 y=60, k cheaper, j cheaper

7 0
3 years ago
Read 2 more answers
Find cosØ if sinØ=-12/13 and tanØ&gt;0.<br><br> A) -5/12<br> B) -5/13<br> C) 12/5<br> D) -13/12
mestny [16]

Answer:

-5/13

Step-by-step explanation:

sin theta = opp / hyp

sin theta = -12 /13

we can find the adj side by using the pythagorean theorem

adj^2 + opp ^2 = hyp^2

adj^2 +(-12)^2 = 13^2

adj^2 +144 =169

adj^2 = 169-144

adj^2 = 25

Taking the square root of each side

adj = ±5

We know that it has to be negative since it is in the third quad

adj = -5

cos theta = adj / hyp

cos theta = -5/13

8 0
3 years ago
Read 2 more answers
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