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lana [24]
3 years ago
12

Write an explanation for both Part A and Part B using 3-4 complete sentences. Part A: Explain how you can determine if a system

of equations will have no solution when comparing the graph of the equations. Part B: Explain how you can determine if a system of equations has no solution by comparing each algebraic equation. Be sure that your explanation includes 3 of the 4 words below: parallel, slope, y-intercept, slope intercept form
Mathematics
1 answer:
vampirchik [111]3 years ago
7 0

Answer:

Step-by-step explanation:

Part A : when comparing graphs : A system of equations will have no solutions (on a graph) when your lines never cross each other. They never cross each other because your lines are parallel.

Part B : by comparing each algebraic equation : A system of equations will have no solution if your lines are parallel. Parallel lines will have the same slope but different y intercepts. Example :

2x - y = 2

4x - 2y = 8

put both equations in slope intercept form

y = 2x - 2

y = 2x - 4

they both have the same slope of 2.....and the y intercepts are different....meaning they are parallel lines and have no solutions

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Factor by grouping 5x^3+6x^2+25x+30
Digiron [165]

Answer:

(5x + 6) (x² + 5)

Step-by-step explanation:

5x³ + 6x² + 25x + 30

= x² (5x + 6) + 25x + 30    -- Group 5x³ and 6x²

= x² (5x + 6) + 5 (5x + 6)    -- Group 25x and 30

= (5x + 6) (x² + 5)  -- Both terms have a common factor of 5x + 6

5 0
3 years ago
Triangle DEF is a right triangle and angles D and F are equal but are not right angles. What is the measure of angle E?
Andrej [43]
If it’s a right triangle 1 side is a right angle and if those 2 sides are equal and not right angles then E needs to be a right angle and a right angle is 90 degrees so it’s D
5 0
4 years ago
a state issues car license plates with three letters followed by three numbers (for example, fgh831 or bbb222). how many differe
vova2212 [387]

Answer:

17576000 different License plates are possible.

Step-by-step explanation:

Here we will use repetitive permutations.

First 3 digits of the license plates have letters from a to z and next 3 digits have numbers from 0 to 9.

Now, 26 letters ( a to z ) can take 3 positions with repetition in 26^{3} ways.

And 10 numbers ( 0 to 9 ) can take 3 positions with repetition in 10^{3} ways.

So the total number of license plates that can be made = 26^{3} \times 10^{3}  = 17576 \times 1000 = 17576000 plates.

5 0
3 years ago
N simplest radical form, what are the solutions to the quadratic equation 0 = –3x2 – 4x + 5? Quadratic formula:
love history [14]

In simplest radical form, what are the solutions to the quadratic equation 0 = –3x2 – 4x + 5?

Quadratic formula: x = 

9 0
3 years ago
Answer for brainliest pleaseeee
makvit [3.9K]

Considering the dimensions of each figure, it is found that Shape D is an enlargement, by a scale factor of 2, of shape A.

<h3>What are the dimensions of each figure?</h3>
  • The dimension of figure A is of 3 x 1.
  • The dimension of figure D is 2 x 6.

6/3 = 2 = 2/1.

Hence, Shape D is an enlargement, by a scale factor of 2, of shape A.

More can be learned about scales of figures at brainly.com/question/25985198

5 0
2 years ago
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