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Blizzard [7]
3 years ago
6

What must be different for a system to have one solution

Mathematics
1 answer:
dangina [55]3 years ago
6 0
For two-variable systems<span>, there are then three possible types of </span>solutions<span>: ... This shows that a </span>system<span> of equations may </span>have one solution<span> (a specific x,y-point)</span>
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I WILL NAME YOU THE BRAINLIEST!
OlgaM077 [116]

Answer: c=5.4

The two roots are 3/5 and 9/5


Step-by-step explanation:

assume 5x2−12x c=0 is supposed to be 5x^2 - 12x + c = 0

p = (12 + sqrt(144-20c))/10

q = (12 - sqrt(144-20c))/10

p-3q=0,

1.2 + 0.1sqrt(144-20c) +

-3.6 + 0.3sqrt(144-20c) = 0

-2.4 + 0.4sqrt(144-20c) +2.4 = 2.4

sqrt(144-20c) = 2.4/0.4 = 6

144-20c=36

144-36=20c

c = 108/20 = 5.4

5x^2-12x+5.4=0

x = 3/5 or x = 9/5


5 0
4 years ago
Read 2 more answers
Given: cos θ=-4/5, sin x = -12/13, θ is in the third quadrant, 
USPshnik [31]

By definition of tangent,

tan(2<em>θ</em>) = sin(2<em>θ</em>) / cos(2<em>θ</em>)

Recall the double angle identities:

sin(2<em>θ</em>) = 2 sin(<em>θ</em>) cos(<em>θ</em>)

cos(2<em>θ</em>) = cos²(<em>θ</em>) - sin²(<em>θ</em>) = 2 cos²(<em>θ</em>) - 1

where the latter equality follows from the Pythagorean identity, cos²(<em>θ</em>) + sin²(<em>θ</em>) = 1. From this identity we can solve for the unknown value of sin(<em>θ</em>):

sin(<em>θ</em>) = ± √(1 - cos²(<em>θ</em>))

and the sign of sin(<em>θ</em>) is determined by the quadrant in which the angle terminates.

<em />

We're given that <em>θ</em> belongs to the third quadrant, for which both sin(<em>θ</em>) and cos(<em>θ</em>) are negative. So if cos(<em>θ</em>) = -4/5, we get

sin(<em>θ</em>) = - √(1 - (-4/5)²) = -3/5

Then

tan(2<em>θ</em>) = sin(2<em>θ</em>) / cos(2<em>θ</em>)

tan(2<em>θ</em>) = (2 sin(<em>θ</em>) cos(<em>θ</em>)) / (2 cos²(<em>θ</em>) - 1)

tan(2<em>θ</em>) = (2 (-3/5) (-4/5)) / (2 (-4/5)² - 1)

tan(2<em>θ</em>) = 24/7

4 0
3 years ago
What is an equation in point-slope form of the line that passes through the point (4, -1) and has a slope of 6?
RSB [31]

Answer:

slope(m)=change in y/change in x

6=y-(-1)/x-4

6=y+1/x-4

6(x-4)=y+1

6x-24=y+1

6x-24-1=y

6x-25=y

hence this is the equation

7 0
3 years ago
Is 2.95 less than 2.949
BabaBlast [244]
It is equal when you round it off.
7 0
3 years ago
Read 2 more answers
Write an equation or a proportion to solve.<br> ​What number is 24% of 80?
Pepsi [2]

Answer:

19.20

Step-by-step explanation:

24%×80 = 24×80/100 = 1920/100 = 19.20

5 0
4 years ago
Read 2 more answers
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