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adoni [48]
1 year ago
9

Please can anybody help me with this: Show that (x − 9)(x − 1) ≡ x^2 − 10x + 9

Mathematics
1 answer:
DanielleElmas [232]1 year ago
4 0

        We will expand the factored form of (x − 9)(x − 1) into the same form as x² − 10x + 9 to show they are equal.

Distribute and multipy out:

(x − 9)(x − 1)

x * x = x²

x * -1 = -x

x * -9 = -9x

-9 * -1 = 9

Add together:

x² +  -x + -9x + 9

x² − 10x + 9

Use the Reflexive property:

x² − 10x + 9 = x² − 10x + 9 ✓

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Answer:

25,000 grams

Step-by-step explanation:

Density can be found using the following formula:

d=\frac{m}{v}

If we rearrange the formula for m, mass, we will multiply both sides of the equation by v.

d*v=\frac{m}{v}*v

d*v=m

The mass can be found by multiplying the density by the volume.

Jeff's density is 1000 grams per milliliter and his volume is 25 milliliters.

d= 1000 g/mL\\v=25 mL

Substitute the values into the formula.

m=d*v

m= 1000 g/mL * 25 mL

Multiply. When you multiply, the "mL" or milliliters will cancel out.

m= 1000 g * 25

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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