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natali 33 [55]
2 years ago
12

Here is a set of signed numbers: 10,-4, 3,-0.8, 0.8, -1, -2

Mathematics
1 answer:
frozen [14]2 years ago
6 0
-4, -2, -1, -0.8, 0.8, 3, 10
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What is the greatest common factor of the polynomial's terms?
Alinara [238K]

Step-by-step explanation:

Write the prime factorization of each term:

9r⁵s = 3² × r⁵ × s

6r⁴s² = 2 × 3 × r⁴ × s²

12r²s = 2² × 3 × r² × s

The greatest common factor will have all the common factors raised to their lowest exponent.

So all three terms have 3, r, and s as factors.  The lowest exponent of 3 is 1.  The lowest exponent of r is 2.  The lowest exponent of s is 1.

GCF = 3 × r² × s

GCF = 3r²s

Factor out the GCF:

9r⁵s + 6r⁴s² − 12r²s

3r²s (3r³ + 2r²s − 4)

4 0
3 years ago
Will someone please help me with this problem!! **It's multiple choice!
romanna [79]

A = (-7,-6)

B = (8,-9)

Find the slope of line AB

m = (y2-y1)/(x2-x1)

m = (-9-(-6))/(8-(-7))

m = (-9+6)/(8+7)

m = -3/15

m = -1/5

The slope of line AB is -1/5.

Flip the fraction and the sign to go from -1/5 to +5/1 = 5. The perpendicular slope is 5.

Let m = 5.

Use the coordinates of point C (2,12) along with the perpendicular slope to get

y - y1 = m(x - x1)

y - 12 = 5(x - 2)

y - 12 = 5x - 10

y = 5x - 10+12

y = 5x + 2

Lastly, convert this to standard form

y = 5x + 2

5x+2 = y

5x+2-y = 0

5x-y = -2

Choice A is the closest match, but the -56 should be -2 instead. It seems like your teacher made a typo somewhere.

7 0
3 years ago
Read 2 more answers
If EFGH is a parallelogram, what is the value of x?
Vladimir [108]

Based on the property of the consecutive angles of a parallelogram, the value of x is calculated as: E. 37.

<h3>What are the Properties of the Angles of a Parallelogram?</h3>

In a parallelogram, the angles that are opposite to each other are congruent while consecutive angles are supplementary.

Angles F and G are consecutive angles and are therefore supplementary (have a sum of 180 degrees.)

Angle F + angle G = 180

4x - 2 + 34 = 180

4x + 32 = 180

4x = 180 - 32

4x = 148

x = 148/4

x = 37

Value of x is: E. 37.

Learn more about parallelogram on:

brainly.com/question/3050890

#SPJ1

4 0
2 years ago
The vertices of a triangle are located at P(0, 0), 0(4,3), and R(4,0).
LiRa [457]

9514 1404 393

Answer:

  12

Step-by-step explanation:

The length of the hypotenuse, PQ, can be found from the Pythagorean theorem:

  PQ² = QR² +PR²

  PQ² = 3² + 4² = 25

  PQ = √25 = 5

The perimeter is the sum of side lengths:

  P = 3 + 4 + 5 = 12

The perimeter of this triangle is 12 units.

6 0
3 years ago
20 points. Picture says it all.
Yuliya22 [10]

Answer:

AC line = DB line

Step-by-step explanation:

ac line is always larger that db line

6 0
3 years ago
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