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Darina [25.2K]
1 year ago
14

So far, Pablo has burned 106.1 calories. He wants to burn a total of 400 calories. How many more calories must Pablo burn?

Mathematics
1 answer:
alexgriva [62]1 year ago
8 0

Answer: around 300 more

Step-by-step explanation:

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Write the equation of a line passing through (6,-2) and perpendicular to -2x + 3y= -6
____ [38]
Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is -1.
On this case they give you the equation of a line and a point, and is asked to find the equation of a line that is perpendicular to the given one, and that passes through this point.


-2x+3y=-6                 Add 2x in both sides
3y=2x-6                    Divide by 3 in both sides to isolate y
y=2/3x-6/3


The slope of the given line is 2/3, which means that the slope of a line perpendicular to this one, needs to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.

y=mx+b                 Substitute the given point and the previous slope found
-2=(-3/2)(6)+b       Combine like terms
-2=-9+b                 Add 9 in both sides to isolate b
7=b

The equation that represents the line perpendicular to -2x+3y=-6 and that passes through the point (6,-2), is y=-3/2x+7.


4 0
3 years ago
Find the equation of a line that is perpendicular to 4x+6y=1 and that has a greater intercept to the line 2x+3y=18
enot [183]

Answer:

2y - 3x = -15

Step-by-step explanation:

Slope of the line 4x + 6y = 1 is as shown below;

Rewrite in slope intercept form;

6y = -4x+1

y = -4x/6 + 1/6

y = -2x/3 + 1/6

mx = -2/3x

m = -2/3

The slope of the line perpendicular M = -1/(-2/3)

M = 3/2

Get the x and y intercept of 2x+3y = 18

x intercept occurs when y  = 0

2x + 0 = 18

x= 18/2

x = 9

y intercept occurs when x  = 0

0 + 3y = 18

3y= 18

y = 18/3

y = 6

The line passes through the point (9,6)

Write the equation in point slope form

y - y0 = m(x-x0)

y - 6  = 3/2(x-9)

2(y-6) = 3(x-9)

2y - 12 = 3x - 27

2y - 3x = -27 + 12

2y - 3x = -15

This gives the required equation

8 0
3 years ago
Arnold takes 12 minutes to swim 10 lengths of a pool whose length is 50 meters. If he swims at a constant speed, how long does i
Phoenix [80]
It will take him 240 min and if u convert that it will take him 4 hours
5 0
2 years ago
Round each mixed number to the nearest whole number and then estimate the product
AnnZ [28]
3 4/5 rounds to 4
5 1/6 rounds to 5
4 x 5 = 20

I hope this helped! :)
3 0
3 years ago
Since only 2 of the 50 states are not connected to the mainland, what percentage of the states ARE on the mainland?
Nitella [24]

Answer:

96%

Step-by-step explanation:

too easy for me

6 0
3 years ago
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