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3 years ago

The segment addition postulate states that if point C is between points A and B, then... ANSWER ASAP

Mathematics

1 answer:

Nadya [2.5K]3 years ago

7 0

Answer & Step-by-step explanation:

The Segment Addition Postulate states that AB + BC = AC when C is between A and B.

<h2>___________________________________________________</h2><h2><em>I AM ALWAYS HAPPY TO HELP :)</em></h2>

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Factor by Grouping.

Komok [63]

Answer:

The ac product of $35x^2+41x+12$ is <u>420</u>.

The factors of the ac product that add to 41 are <u>20</u> and <u>21</u>.

$35x^2+41x+12 =$ $(7x+4)(5x+3)$

Step-by-step explanation:

1) The general form of a quadratic is $ax^2 + bx + c$ . Hence, multiplying 35 by 12 gives you the product of ac, which is 420.

2) We need to find two numbers that multiply to 420 and add up to 41 <u>simultaneously</u>. If we pull out the factors of 420, two of them will be 20 and 21, which multiply to 420 as well as add up to 41.

3) Write $41x$ as a sum.

$35x^2+20x+21x+12$

Now, we can factor them out by grouping.

$35x^2+20x+21x+12\\5x(7x+4)+3(7x+4)$

Since, $7x +4$ is common in both of the factors, we only take one of the $7x+4$ along with $5x$ and $3$ .

$(7x+4)(5x+3)$

6 0

2 years ago

Read 2 more answers

If a sports car is traveling at 95 miles per hour, how long would it take the sports car to overtake a family car traveling at 3

levacccp [35]

Distance = speed * time
d = st

The sports car travels d distance for t time at speed, s, 95 mph until it overtakes the family
car.
The equation for the sports car is
d = 95t

The family car travels the same distance, d, but since it left 4.5 hours earlier than the sports car, it travels for t + 4.5 time until it is overtaken. It travels at speed, 35 mph.
The equation for the family car is
d = 35(t + 4.5)

We solve the two equations as a system of equations.

d = 95t
d = 35(t + 4.5)

Since d = d, set the right sides of the equations above equal to each other.

95t = 35(t + 4.5)

95t = 35t + 157.5

60t = 157.5

t = 2.625

The answer is 2.625 hours, or 2 hours, 37 minutes, and 30 seconds.

Check:
In 2.625 hours, the sports car travels: 95 mph * 2.625 h = 249.375 miles
The family car traveled 2.625 hours plus the extra 4.5 hours, or 7.125 hours.
In 7.125 hours, the family car travels 35 mph * 7.125 h = 249.375 miles.
The cars have traveled the same distance 2.625 hours after the sports car left, so our answer is correct.

3 0

3 years ago

The sum of four consecutive odd integers is 200 what is the largest of the integers

weqwewe [10]

Let...

1st number=x

2nd number=x+2

3rd number=x+4

4th number=x+6

x+x+2+x+4+x+6=200

4x=188

x=47

x+6=53

answer: 53

8 0

3 years ago

Given the expression-1/2(4x-6) +2 (x2-5x+5) complete the instructions below

Art [367]

Answer:

A) 2x^2 -12x +13

B) terms {2x^2, -12x, 13}; coefficients {2, -12, 13}; constants {13}

Step-by-step explanation:

A) Using the distributive property, we get ...

-2x +3 +2x^2 -10x +10

= 2x^2 -12x +13

B) Terms: {2x^2, -12x, 13}

Factors: There are no overall factors. Each term has factors ...

2x^2 has factors {2, x, x}

-12x has factors {-1, 2, 2, 3, x}

13 has factors {1, 13} (it is prime)

Coefficients: {2, -12, 13} . . . see note below

Constants: {13}

_____

<em>Additional comment</em>

We have listed the prime factors of each term, any subset can be multiplied to be a factor of the term. For example, 2·3 = 6 is a factor of -12x.

Please note that some sources do not consider a constant (13) to be a coefficient. You will need to refer to your curriculum materials to see what your author says about that.

4 0

3 years ago

What is x if 3x − 1 divided 4 = −5?

Novosadov [1.4K]

Answer:

x=-19/3

Step-by-step explanation:

(3x-1)/4=-5

3x-1=-5*4

3x-1=-20

3x=-20+1

3x=-19

x=-19/3

5 0

3 years ago

Read 2 more answers