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Sergeeva-Olga [200]
3 years ago
9

What is the middle term of the product of (x - 4)(x - 3)?

Mathematics
2 answers:
GREYUIT [131]3 years ago
7 0

Answer:

The middle term of the product of (x - 4)(x - 3) is -7

Step-by-step explanation:

Consider the given expression (x - 4)(x - 3)

We have to find the middle term of the product of (x - 4)(x - 3).

First multiply the given terms, we get,

(x - 4)(x - 3)=x(x-3)-4(x-3)

Simplify, we get,

x(x-3)-4(x-3)=x^2-3x-4x+12

Simplify further, we get,

x^2-3x-4x+12=x^2-7x+12

Thus, the middle term of the product of (x - 4)(x - 3) is -7

irga5000 [103]3 years ago
4 0
(x-4)(x-3) so what you do is
 
     x         -4
 x   x^2      -4x

-3 -3x        12

x^2-7x+12
your answer would be -7x
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The length of three sides of a triangle are 12, 35 and 37 centimeters. Determine whether the triangle is a right triangle. Show
Aleks04 [339]

Answer:

it is a right triangle

Step-by-step explanation:

confirm if it is a right triangle using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

12² + 35²

144 + 1225 = 1369

square toot of 1369 is 37

so

12² + 35² = 37²

6 0
2 years ago
Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 1 3/5 doors. How many liters of pai
barxatty [35]

Answer:

1\frac{1}{4}\ liters

Step-by-step explanation:

step 1

Convert mixed number to an improper fraction

1\frac{3}{5}=\frac{1*5+3}{5}=\frac{8}{5}

step 2

Using proportion

\frac{2}{(8/5)}\frac{liters}{doors} =\frac{x}{1}\frac{liters}{door}\\ \\x=2/(8/5)\\ \\x=10/8\ liters

step 3

Convert to mixed number

\frac{10}{8}\ liters=\frac{8}{8}+\frac{2}{8}=1\frac{1}{4}\ liters

8 0
3 years ago
What is 71/5 written as a percent
ratelena [41]
Percent (%) = per 100

7 1/5 = 36/5 = 720/100 = 720%
3 0
3 years ago
You want to rent a car for the day.Prestige car rentals charges $47 plus $0.07 per mile to rent a midsize vehicle . Gateway Auto
jolli1 [7]

Answer:

240 miles

Step-by-step explanation:

Given that:

Charges offered by Prestige car rentals for renting a midsize vehicle:

Fixed charges = $47

Per mile charges for renting a midsize vehicle = $0.07

Charges offered by Gateway Auto for renting a midsize vehicle:

Fixed charges = $35

Per mile charges for renting a midsize vehicle = $0.12

To find:

Number of miles for which both the companies charge the same price?

Solution:

Let the number of miles for which both the companies will charge the same price = x miles

Charges for one mile by Prestige car rentals = $0.07

Charges for x miles by Prestige car rentals = $0.07x

Total charges by Prestige Car rentals = $47 + $0.07x

Charges for one mile by Gateway Auto = $0.12

Charges for x miles by Gateway Auto = $0.12x

Total charges by Gateway Auto = $35 + $0.12x

As per question statement, the charges are same:

\$47 + \$0.07x = \$35 + \$0.12x\\\Rightarrow 12=0.05x\\\Rightarrow x=\dfrac{1200}{5}\\\Rightarrow \bold{x=240\ miles}

4 0
2 years ago
What is the mass after 63 hours?
ikadub [295]

Answer:

D hope this helps

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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