Answer:
w=2, -3
Step-by-step explanation:
minus 25 from each side
1+-25+4w^2+4w=25+-25
combine like terms
-24+4w^2+4w=0
factor out the greatest Common factor
4(-6+w+w^2)=0
factor a trinomial
4((-3+-1w)(2+-1w))=0
I hope this helps!
we have the price of TV is $3960.if we round off to the nearest tens we get same 3960 because we have 0 at the end which means lesser than 5 so 60 will be the nearest ten.
discount =
so $990 will be the discount.
and the cost of TV after discount is 
Statement 1: WXYZ is a kite
Reason 1: Given
Statement 2: WX = XY and WZ = YZ
Reason 2: Definition of a kite
Statement 3: XZ = XZ
Reason 3: Reflexive property
Statement 4: Triangle WXZ = Triangle YXZ
Reason 4: SSS Congruence
Statement 5: Angle W = Angle Y
Reason 5: CPCTC
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Extra notes:
* A kite is a quadrilateral that has two pairs of adjacent congruent sides. In this case, WX and XY is one pair of congruent sides that are adjacent (ie next to each other). So that's why WX = XY. Similarly, WZ = YZ is the second pair of adjacent congruent sides.
* Draw in a segment from point X to point Z to help form two triangles. The two triangles are congruent as proven in statement 4. One triangle is a reflection over the line XZ to get the other triangle.
* Due to this reflection, angle W reflects over line XZ to get angle Y. Proving that angle W = angle Y
* SSS means "side side side", basically saying "you use three pairs of congruent sides to prove two triangles congruent".
* The acronym CPCTC stands for "corresponding parts of congruent triangles are congruent"
The volume of a cone is
where r = radius and h = height. If the cone has a volume of 94.2 cm³ (I assume you didn't mean m³ because that would be ridiculously huge) and a height of 10 cm, we can plug these values into the formula to find the radius. Don't do any rounding.
Now we know that's going to be the radius of our <em>new </em>cone as well since we're keeping the diameter the same. The volume is going to be double 94.2 which is 188.4. Let's solve for the height.
Well because 14 is nowhere near half of 950 (which is 475), 1/2 is bigger. I hope this helped.
