Hence explain x²-8x+20 is always positive

Mathematics

1 answer:

oee [108]3 years ago

3 0

Answer:

It is always positive because the discriminant is negative and therefore has no roots. This can also be interperted as the equation will always be above the x-axis on the parabola and therefore always be positive.

Step-by-step explanation:

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Plz Hurry I would Aprecate it

Irina18 [472]

Answer:

B. 120 units³

Step-by-step explanation:

The area of the large white rectangle on the right represents the area of one of the larger surfaces of the prism. It appears to be (10 units) × (6 units), so has an area of 60 units². (You can count the squares there, if you like.)

That is adjacent to a gray area on the net that is 2 units wide, indicating that the prism is 2 units deep. Thus the volume is ...

(60 units²) × (2 units) = 120 units³

4 0

4 years ago

n △ABC, point P∈ AB is so that AP:BP=1:3 and point M is the midpoint of segment CP. Find the area of △ABC if the area of △BMP is

monitta

Answer: The area of ABC is 56 m².

Explanation:

It is given that in △ABC, point P∈ AB is so that AP:BP=1:3 and point M is the midpoint of segment CP.

Since point P divides the line AB in 1:3, therefore the area of triangle APC and BPC is also in ratio 1:3. To prove this draw a perpendicular h on AB from C.

$\frac{\text{Area of } \triangle BCP}{\text{Area of } \triangle ABC} =\frac{\frac{1}{2}\times BP\times CH}{\frac{1}{2}\times AB\times CH} =\frac{BP}{AB}= \frac{3}{4}$