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Vikentia [17]
3 years ago
6

Find an equation of the line perpendicular to the graph of 14x-7y=8 that passing through the point at (-2,5).

Mathematics
1 answer:
MAXImum [283]3 years ago
7 0

Answer:

2x + 4y = 16.

Step-by-step explanation:

14x - 7y = 8

Convert to slope-intercept form:

-7y = -14x + 8

y = 2x - 8/7

The slope is 2 so the line perpendicular to it has a slope of -1/2, so we have:

y = 1/2x + c

This line passes through the point (-2, 5) so:

5 = -1/2* (-2) + c

5 = 1 + c

c = 5 - 1 = 4

So our equation is y = -1/2x + 4.

Convert to standard from

4y = -2x + 16

2x + 4y = 16.

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Which inequality represents the statement? The ages (a) of s group of travelers all exceeded 17 years and were no more then 54 y
klasskru [66]

Answer:

The inequality that represents the age of the group, "x", is: 17 < x \leq 54

Step-by-step explanation:

To express this problem in an inequality we will attribute the age of the members on the group with the variable "x". There are two available information about "x", the first states that every member of the group is older than 17 years, therefore we can create a inequality based on that:

x > 17

While the second data from the problem states that none of than is older than 54 years old, this implies that they can be at most that old, therefore the inequality that represents this is:

x\leq 54

In order for both to be valid at the same time x must be greater than 17 and less or equal to 54, therefore we finally have:

17 < x \leq 54

7 0
2 years ago
Which of the following rational numbers has the smallest absolute value? -1.5, -4, 8, or 0.5?
ICE Princess25 [194]
The answer is 0.5

you're welcome
6 0
3 years ago
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Suppose the scale factor you will use to enlarge the map is 5:1. What is the approximate area of the park in your enlarged drawi
Sunny_sXe [5.5K]

Answer:

image ?

Step-by-step explanation:

4 0
2 years ago
In the number 15.2201 how does the value of 2 in the tenths place compare to the value of the 2 in the hundredths place
lakkis [162]

Answer:

The 2 in the hundreths is 10% of the 2 in the tenths

Step-by-step explanation:

We are given the number 15.2201

#The value of 2 in the tenths:

0.2

#The value of 2 in the hundredths:

0.02

The difference of the 2 in the tenths and in the hundredths is:

=2_t-2_h\\\\=0.2-0.02\\\\=0.18\\\\\#2_h \ as \ a \ \% \ of \ 2_t\\=\frac{2_h}{2_t}\times 100\%\\\\=\frac{0.02}{0.2}\times100\%\\\\2_h=10\% \ of\  2_t

Hence, the difference between the 2 in the tenths  minus 2 in the hundreths is 0.18, 2 in the hundreths is 10% the 2 in the tenths.

6 0
3 years ago
The temperature was 38 degrees Fahrenheit before a cold front came through. Ten hours later, the temperature was -12 degrees Fah
padilas [110]

Answer:

-5 degrees per hour

Step-by-step explanation:

In 10 hours, the temperature dropped -50 degrees (38 + 12, and make it negative because the temperature went down, not up).

So divide -50 by 10

-50/10 = -5

7 0
2 years ago
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