1. Three pounds of M&M’s cost $7.50. At this rate, what is the cost of 7 pounds?
1 answer:
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Answer:
Given equation have two solutions.
x =
Right option is (D)
Step-by-step explanation:
We have given,
we can rewrite this equation in the form given as:
6x² + 40 + 31x = 0
or 6x² + 31x + 40 = 0
On solving this quadratic equation, we get :
x =
That means, given equation have two solutions.
Right option is (D)
Answer:
Step-by-step explanation:
we have
step 1
Solve the numerator of the quotient
step 2
substitute in the original expression
step 3
simplify
Therefore the point P is at 3.46 cm from O and it lies on the angle bisector of ∠XOY
<h3>What is an Angle Bisector ?</h3>The ray that bisects the angle into half is called Angle Bisector.
It is given that ∠XOY = 60 degree
the length of OX = 4.5 cm
OY =5 cm
The point M is on OX such that
OM = 2 MX
so The M is at 3 cm from O
The point P lies in the acute angle such that the distance between point P and OX and OY is always same and at 3 cm from M
According to the angle bisector theorem converse states that if a point is in the interior of an angle and is at equal distance from the sides then it lies on the bisector of that angle.
As it can be seen from the image that a point equidistant from the rays , at 3 cm from M will be at
By Pythagoras Theorem
3² +3² = OP²
OP = 2 = 3.46 cm from O
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