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Anestetic [448]
3 years ago
6

What value of b makes the trinomial below a perfect square x^2-bx+100

Mathematics
1 answer:
Aloiza [94]3 years ago
6 0
1. Perfect square trinomials, are 2nd degree polynomials, of the form          a x^{2} +bx+c so that a \neq 0, b \neq 0, c \neq 0, which can be written as perfect squares.

2. For example (x+1) ^{2} = x^{2} +2x+1
 
(3x-1)^{2}= (3x)^{2}-2(3x)+(-1) ^{2}= 9x^{2}-6x+1    


3. Thus x^{2} +2x+1, 9x^{2}-6x+1 are perfect square trinomials.

4. x^{2} -bx+100= x^{2} -bx+ 10^{2}= (x+10)^{2}   or  (x-10)^{2}

5. In the first case -b=20, so b=-20. In the second case, -b=-20, so b=20.

6. b∈{-20, 20}
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Can the statement be written as a biconditional statement and why?????
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5 0
3 years ago
Please help my grade is a 68 i need a 70 at least
aleksklad [387]

Answer:

10s²-6s+9

Step-by-step explanation:

C = -3 + 5s²

B = -2s + 5

2(-3 + 5s²) = -6 + 10s²

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10s² - 6s + 9

8 0
2 years ago
For the figures shown, FHJL ~ NPRS. The scale factor applied to FHJL to create NPRS is 4 to 3.
GrogVix [38]

Remark

For every 3 units for NP will be 4 units. You can set up a proportion.

\dfrac{3}{4} = \dfrac{45}{NP}\text{Cross Multiply}

3*NP = 4*45

3*NP = 180 Divide by 3

NP = 180/3

NP = 60

Answer C

7 0
3 years ago
How many blocks with dimensions of One-third times 1 times 1 can fit in a unit cube?
gtnhenbr [62]

Answer: 3

Step-by-step explanation:

Given

The dimension of the small block is

\dfrac{1}{3}\times 1\times 1

The Volume of the cube having unit length is

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The number of blocks that can be in the unit cube is the division of the volume of the unit cube and block.

\Rightarrow \dfrac{1\times 1\times 1}{\dfrac{1}{3}\times 1\times 1}\\\\\Rightarrow \dfrac{3}{1}=3

7 0
3 years ago
Read 2 more answers
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WARRIOR [948]

Answer:

1. Number of Hours: 0, 1, 2, 3, 4, 5

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2. The cost for renting a car for 10 hours is $38

3. You can rent a cart for 8 hours with $32

8 0
3 years ago
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