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jasenka [17]
2 years ago
6

A student says that if 5x2 = 20, then x must be

Mathematics
1 answer:
lutik1710 [3]2 years ago
4 0

Answer:

I agree with the student's answer. "x" cannot be -2 because then it would make -20 which is not equal to 20:

5(-2)(2) = ?

-10 x 2 = ?

? = -20

-20 ≠ 20

Step-by-step explanation:

Justificaiton:

5(x)(2) = 20

10(x) = 20

10/10(x) = 20/10

x = 2

Second Justification:

5(x)(2) = 20

5/5(x)(2) = 20/5

2x = 4

2x/2 = 4/2

x = 2

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Oxana [17]

Answer:

Step-by-step explanation:

AS we can see the lines are parallel so

2 ( 4x - 3) + 7(x + 3) = 180° ( being so - interior angles)

8x - 6° + 7x + 21° = 180°

15x + 15° = 180°

15x = 180° - 15°

15x = 165°

x = 165° / 15

Therefore x = 11°

Now

2 ( 4x - 3) = 2 ( 4 * 11° - 3°) = 2 ( 44 - 3)° = 2* 41 = 82°

7(x + 3 ) = 7 ( 11° + 3°) = 7 * 14 = 98°

4 0
3 years ago
Find the slope of the line (0,7), (4,4)
MaRussiya [10]

Answer:

m = - 3/4

Step-by-step explanation:

m = (7-4)/(0-4)

= 3/- 4

= - 3/4

3 0
2 years ago
What is the slope of the line represented by the equation y=-1/2x+1/4
Amanda [17]
The slope will be -1/2. If you put it into slope intercept form of y=mx+b, mx will always be the slope. 
7 0
3 years ago
Read 2 more answers
Determine the intercepts of the line.<br> y-6= 4( + 5)<br> y-intercept:<br> z-intercept
Shtirlitz [24]

Answer:

  1. (0, 26)
  2. (-6.5, 0)

Step-by-step explanation:

Turn the equation into slope-intercept form [ y = mx + b ].

y - 6 = 4(x + 5)

y - 6 = 4x + 20

y = 4x + 26

We know that b = y-intercept for the y-intercept is 26.

Substitute 0 for y to find the x intercept.

0 = 4x + 26

-26 = 4x

-6.5 = x

Best of Luck!

7 0
2 years ago
Find an explicit rule for the nth term of the sequence.
taurus [48]

Answer: -4 . 2ⁿ⁻¹

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the nth term is given by arⁿ⁻¹

a = the first term of the sequence

r = common ratio

n=  number of terms

for this sequence

a = -4

r = -8/-4 = 2

nth term, an = -4 . 2ⁿ⁻¹

3 0
3 years ago
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