<span>PQR is a triangle
QR = x </span>⇒ x>0
If x>0 then:
QR is the smallest side
PQ is the largest side
<span>In the triangle, the largest angle lies opposite the largest side.
</span>The angles of Δ<span>PQR in order from largest to smallest:
</span>∠R is largest [opposite to PQ]
∠Q is middle [opposite to RP]
∠P is smallest [opposite to QR]
Answer:
discriminant =0
1 real root
Step-by-step explanation:
The discriminant is b^2 -4ac
when the equation is written in the form ax^2 +bx+c
f(x) = 3x^2 +24x+48
a = 3 b = 24 and c =48
discriminant = 24^2 - 4(3)*(48)
=576-576
=0
If the discriminant >0 we have 2 real roots
if discriminant = 0 we have 1 real root
if discriminant <0 we have 2 complex roots
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Answer:
option-B
Step-by-step explanation:
we are given
<H and <X are supplementary angles
so,
<H+<X=180
we know that
<H and <E are vertically opposite angles
so, they must be equal
<H=<E
we can plug it
<E+<X=180
It means that angle(E) and angle(X) are supplementary angles
and these two angles are same side interior angles
By using same side interior angles converse
so, line(l) and line(n) must be parallel
so, option-B
Answer:
x = 5/2
y = -1/2
Step-by-step explanation:
if both equations start with 'y=' then set the expressions equal to each other
3/5x - 1 = x - 3
add 1 to each side to get:
3/5x = x - 1
subtract 5/5x from each side:
3/5x - 5/5x = -1
-2/5x = -1
multiply each side by -5/2:
x = 5/2
y = 2 1/2 - 3
y = -1/2