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iren2701 [21]
3 years ago
10

Need help 2m+3 /2-17/4 <m+2/8

Mathematics
1 answer:
saul85 [17]3 years ago
7 0
2m + 3/2 - 17/4 < m + 2/8....multiply everything by 8
16m + 12 - 34 < 8m + 2
16m - 22 < 8m + 2
16m - 8m < 2 + 22
8m < 24
m < 24/8
m < 3
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A line passes through the points (2,4) and (5,6) .
Alenkinab [10]

Answer:

Option B and D are correct.

Step-by-step explanation:

Given: A line passes through the points (2,4) and (5,6).

* Case 1:

If a line passes through the points (2, 4) and (5, 6)

Point slope intercept form:

for any two points (x_1,y_1) and (x_2, y_2)

then the general form y -y_1=m(x-x_1) for linear equations where m is the slope given by:

m =\frac{y_2-y_1}{x_2-x_1}

First calculate slope for the points (2, 4) and (5, 6);

m = \frac{y_2-y_1}{x_2-x_1} =\frac{6-4}{5-2} = \frac{2}{3}

then, by point slope intercept form;

y-4=\frac{2}{3}(x-2)

* Case 2:

If a line passes through the points (5, 6) and (2, 4)

First calculate slope for the points (5, 6) and (2, 4);

m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-6}{2-5} = \frac{-2}{-3}= \frac{2}{3}

then, by point slope intercept form;

y-6=\frac{2}{3}(x-5)

Yes, the only equation of line from the given options  which describes the given line are;

y-4=\frac{2}{3}(x-2)  and y-6=\frac{2}{3}(x-5)



8 0
3 years ago
You are installing a new pre-constructed fence in front of your house. each fence section measures 4 ½ feet wide, and each end w
irga5000 [103]
Since, each side of the fence should have the 1 3/4 feet wide decorative piece, the width of the fence should be subtracted by 2 pieces (1 3/4 feet)
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Then, divide the remaining width by 4.5 feet and the answer is 5.88. Thus, approximately 5 pieces of the 4 1/2 feet should be installed. 
4 0
2 years ago
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Eddie is fishing. He has 1 and one fourth ounces of weight on his line, but his bait isn't getting to the bottom of the lake. Ed
vladimir1956 [14]
1 1/4 + 1/2 + 3/4 = 
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4 0
2 years ago
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Jerry played with 333 friends today, all at different times. He played with Tommy for 1\dfrac{7}{8}1 8 7 ​ 1, start fraction, 7,
Mars2501 [29]

Answer:

8 1/8 hours

Step-by-step explanation:

Jerry played with 3 friends today, all at different times.

Tommy = 1 7/8 hours

Nathan = 1 3/4 hours

Chris = 3 3/2 hours

How many hours did Jerry play with his 3 friends today?

Number of hours Jerry play with his 3 friends today = 1 7/8 + 1 3/4 + 3 3/2

= 15/8 + 7/4 + 9/2

= (15+14+36)/8

= 65/8

= 8 1/8 hours

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Subduction zones occur at the boundaries between
ycow [4]
D - tectonic plates
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2 years ago
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