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mylen [45]
3 years ago
13

Tell whether each system of equations has no solution or ,infinitely many solutions.​

Mathematics
1 answer:
navik [9.2K]3 years ago
7 0

Answer:

See below.

Step-by-step explanation:

x + 2 = x + 2 ⇒ Infinitely Many Solutions

3x + 1 = 3x - 10 ⇒ 1 ≠ -10 ⇒ No solutions

x + 4 = 2x + 4 ⇒ 4 = x + 4 ⇒ 0 = x ⇒ One solution

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Identify the equation of a line in slope-intercept form that is perpendicular to y = -1/3 x + 2 and passes through (2, 1)
Airida [17]

Answer:

Step-by-step explanation:

The slope of a line perpendicular to another line is the opposite reciprocal of the slope of the other line, meaning if the slope of the other line is -\frac{1}{3}, then the slope of the line perpendicular is 3.

Knowing this, we can start to construct the equation for the line:

y = mx + b

y = 3x + b

To solve for b, we plug in the coordinates of the point that we know the line runs through, (2, 1):

y = 3x + b

1 = 3(2) + b

1 = 6 + b

b = -5

Therefore, the slope of the line that is perpendicular ot the line provided in the equation is the following:

y = 3x - 5

5 0
3 years ago
If I can walk 9673.6 meters in 5 hours. How far can I walk in 70 minutes. ( I need the work)
den301095 [7]

First, convert 5 hours into minutes:

5 hours 60 min

------------ * --------------- = 300 min

1 1 hr

Next, find the unit rate in m/min:

9673.6 m

--------------- = 32.24 m/min

300 min

Now find the distance you can walk in 70 minutes at this rate:

32.24 m

------------- * 70 min = 2247 meters (answer)

1 min

You could walk 2247 meters (to the nearest meter) in 70 minutes.

6 0
4 years ago
Write 4x + y = 1 as a slope intercept form
Rainbow [258]
Y=4x−1
Explanation:
The equation of a line in
slope-intercept form
is.
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
m
x
+
b
2
2
∣
∣
∣
−−−−−−−−−−−−−−−

where m represents the slope and b, the y-intercept.
Rearrange
4
x
−
y
=
1
into this form
subtract 4x from both sides.
4
x
−
4
x
−
y
=
−
4
x
+
1
⇒
−
y
=
−
4
x
+
1
multiply through by -1
⇒
y
=
4
x
−
1
←
in slope-intercept form
3 0
3 years ago
The graph of y = x^2 is translated 3 units to the left. The equation for this new graph is:
EastWind [94]
The answer is:
C. Y=(x+3)^2
7 0
3 years ago
Write an equivalent expression to -2(1.5+5)-4(-0.5+3h)
finlep [7]

Answer:

-11-12h

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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