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Elena-2011 [213]
3 years ago
14

Write the equation of a line that is parallel to y=0.6x+3 and that passes through the point

Mathematics
1 answer:
a_sh-v [17]3 years ago
3 0
A line parallel to y = 0.6x + 3 will be of the form:

y = 0.6x + k

where k is a constant.

It passes through (-3,-5)

Thus,

y = 0.6x + k \\ \\ -5 = 0.6 \times (-3) + k \\ \\ -5 = -1.8 + k \\ \\k = -5 + 1.8 \\ \\ k = -3.2

\textbf{The equation is \: \: y = 0.6x - 3.2}
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Draw a line having a slope of 1/3 and y-intercept of -1
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Equation for slope=1/3 and y-intercept=-1 is:
y = mx + b
where m is slope and b is y-intercept.
So, equation becomes
y = -1x + 1/3
Now put different values of x in the equation to get corresponding value of y.
x          y
0         1/3
1        -2/3
2        -5/3
3        -8/3
-1       4/3
-2       7/3
-3       10/3


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2 years ago
What fractions are equivalent to 28/32
marin [14]
The answer is 7/8. 28/4 = 7, 32/4=8.
7 0
2 years ago
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You roll a six sided number cube and flip a coin. What is the probability of rolling a number greater than 5 and flipping heads.
Orlov [11]

Answer:

1/6 for the number cube and 1/2 for coin

Step-by-step explanation:

5 0
3 years ago
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The main cable of a suspension bridge forms a parabola, described by the equation y = a(x - h)2 + k, where y is the height in fe
nirvana33 [79]
Refer to the diagram shown below.

When x = 30 ft, the cable is at 15 ft, therefore y(30) = 15.
That is,
a(30 - h)² + k = 15            (1)

Also, because the distance between the supports is 90 ft, therefore
y(0) = 6 ft, and y(90) = 6 ft
That is,
a(-h)² + k = 6                 (2)
a(90 - h)² + k = 6          (3)

From (2) and (3), obtain
a(90 - h)² = ah²
90² - 180h + h² = h²
180h = 90²
h = 45 ft.

From (1) and (2), obtain
225a + k = 15
2025a + k = 6

Therefore
1800a = -9
a = - 0.005
k = 15 - 225(-0.005) = 16.125 ft

Answer:
The equation for the cable is
y = - 0.005(x - 45)² + 16.125 

A graph of the solution verifies that the solution is correct.

6 0
3 years ago
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a chef uses 5 2/5 pounds of ground beef to make a hamburger and 2 1/4 pounds of ground beef to make meatloaf. the ground beef co
Lisa [10]

Answer:

16 packages

Step-by-step explanation:

5 2/5 + 2 1/4  Use the common denominator of 20

5 8/20 + 2 5/20  

7  13/20

I know that I will need 14 packages for the 7 pounds.  For the fraction part, 10/20 would be half, so I would need to buy a half pound for that, but I need 13/20 which would be more than a half pound, so I will need to buy 2 more pounds for the fraction part.

14 + 2 = 16

8 0
1 year ago
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