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Llana [10]
3 years ago
5

Combine Like Terms- Use the Highlighting Tool

Mathematics
1 answer:
Anettt [7]3 years ago
5 0

Answer:

12x+3x+1 = 15x+1

8r+2+2+-3 = 8r+1

8p+7-p+1 = 7p+8

4xy+17+14xy-xy = 17xy+17

11+4-2b+8b = 15+6b

Step-by-step explanation:

Did the best I could.

You might be interested in
Find the equation of the line that has a slope of 14 and passes through the point (-3,12). Help me
Zielflug [23.3K]

Answer:

y=14x+30

Step-by-step explanation:

7 0
3 years ago
ASAP need answer to this system of equations... ILL give brainliest to correct answers only
pshichka [43]

Answer:

(7,12),(-12,-7)

Step-by-step explanation:

x^2 + y^2 = 193

x - y = - 5

x = y - 5

(y - 5)^2 + y^2 = 193

y^2 - 10y + 25 + y^2 = 193

2y^2 - 10y + 25 = 193

2y^2 - 10y + 25 - 193 = 0

2y^2 - 10y - 168 = 0

2*(y^2 - 5y - 84) = 0     This factors into

2*( y - 12) (y + 7) = 0

y = 12    

in which case x = 12 - 5 = 7

y = - 7

in which case x = -7 - 5 = - 12

8 0
3 years ago
Use the Euclidean Algorithm to compute the greatest common divisors indicated. (a) gcd(20, 12) (b) gcd(100, 36) (c) gcd(207, 496
coldgirl [10]

Answer:

(a) gcd(20, 12)=4

(b) gcd(100, 36)=4

(c) gcd(496,207 )=1

Step-by-step explanation:

The Euclidean algorithm is an efficient method for computing the greatest common divisor of two integers, without explicitly factoring the two integers.

The Euclidean algorithm solves the problem:

<em>                                   Given integers </em>a, b<em>, find </em>d=gcd(a,b)<em />

Here is an outline of the steps:

  1. Let a=x, b=y.
  2. Given x, y, use the division algorithm to write x=yq+r.
  3. If r=0, stop and output y; this is the gcd of a, b.
  4. If r\neq 0, replace (x,y) by (y,r). Go to step 2.

The division algorithm is an algorithm in which given 2 integers N and D, it computes their quotient Q and remainder R.

Let's say we have to divide N (dividend) by D (divisor). We will take the following steps:

Step 1: Subtract D from N repeatedly.

Step 2: The resulting number is known as the remainder R, and the number of times that D is subtracted is called the quotient Q.

(a) To find gcd(20, 12) we apply the Euclidean algorithm:

20 = 12\cdot 1 + 8\\ 12 = 8\cdot 1 + 4\\ 8 = 4\cdot 2 + 0

The process stops since we reached 0, and we obtain gcd(20, 12)=4.

(b) To find gcd(100, 36) we apply the Euclidean algorithm:

100 = 36\cdot 2 + 28\\ 36 = 28\cdot1 + 8\\ 28 = 8\cdot 3 + 4\\ 8 = 4\cdot 2 + 0

The process stops since we reached 0, and we obtain gcd(100, 36)=4.

(c) To find gcd(496,207 ) we apply the Euclidean algorithm:

496 = 207\cdot 2 + 82\\ 207 = 82\cdot 2 + 43\\ 82 = 43\cdot 1 + 39\\ 43 = 39\cdot 1 + 4\\ 39 = 4\cdot 9 + 3\\ 4 = 3\cdot 1 + 1\\ 3 = 1\cdot 3 + 0

The process stops since we reached 0, and we obtain gcd(496,207 )=1.

3 0
3 years ago
PLEASE HELP ME ASAP ILL MARK BRIANLIEST!!!!!!!!! ANSWER THE QUESTIONS AND DO THE STEPS TOO PLEASEE
Anon25 [30]

Answer:

1). t ≥ -\frac{3}{2}

2). k ≥ \frac{16}{3}

3). y < -\frac{1}{2}

4). b > \frac{250}{9}

5). w ≤ 0

Step-by-step explanation:

1). 14(\frac{1}{2}-t)\leq 28

   \frac{14}{14}(\frac{1}{2}-t)\leq \frac{28}{14}

   \frac{1}{2}-t\leq 2

   -t\leq 2-\frac{1}{2}

   -t\leq \frac{3}{2}

   t ≥ -\frac{3}{2}

2). 15k + 11 ≤ 18k - 5

   15k - 18k ≤ -5 - 11

   -3k ≤ - 16

   3k ≥ 16

     k ≥ \frac{16}{3}

3). 44y > 11 + 88y - 22y

    44y > 11 + 66y

    44y - 66y > 11

    -22y > 11

    22y < -11

    \frac{22y}{22}

    y < -\frac{1}{2}

4). \frac{7}{9}(b - 27) > \frac{49}{81}

    \frac{7}{9}(b - 27)\times \frac{9}{7} > \frac{49}{81}\times \frac{9}{7}

     (b - 27) > \frac{7}{9}

     b > \frac{7}{9}+27

    b > \frac{250}{9}

5). 11w - 8w ≥ 14w

    3w - 14w ≥ 0

    -11w ≥ 0

    w ≤ 0

7 0
3 years ago
Lisa's car gets 18 miles per gallon of gasoline. how many miles can she drive on 60 gallons of gas?
nlexa [21]
60x18= 1080

1080 miles
4 0
3 years ago
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