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yaroslaw
11 days ago
11

What is the equation of the line that passes through the point (5, 4) and has a slope of 6/5?

Mathematics
1 answer:
babunello [8.4K]11 days ago
8 0
The equation of the line through the point (5,4) with a slope of 6/5 is y = 6/5x - 2. This is determined using the linear equation format y = mx + b. By substituting in the values, you can simplify to find the y-intercept.
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A factory produced 150 tons of steel in one year. The next year, the output increased to 180 tons. What is the percentage increa
Svet_ta [9500]
The increase in production is found by calculating 180 - 150 = 30 tons. The percentage rise is computed by taking 30 divided by 150, which equals 0.2 or a 20% rise.
3 0
13 days ago
Read 2 more answers
XY= 2x +1, YZ= 6x, and XZ=81
tester [8842]
 x = 27 + 3 √ 129/ 4, 27 − 3 √ 129/ 4

Please note: the entire equation mentioned is divided by 4, not only the last term. 

 x approximates to 15.26836251, − 1.76836251

That concludes my response. I hope this is helpful. You will still need to work on finding y and z, which can be quite challenging:)
8 0
20 days ago
The sum of four consecutive odd numbers is 368 find the numbers​
lawyer [9240]

Answer:

The four odd numbers in sequence are 89, 90, 91, and 93.

Step-by-step explanation:

Designate the four consecutive numbers as x, x+2, x+4, and x+6.

Based on the information given in the question

x + (x + 2) + (x + 4) + (x + 6) = 368

4x + 12 = 368

4x = 356

x = 89

Consequently, the numbers are 89, 90, 91, and 93.

Hope this is helpful:)

7 0
1 month ago
Danielle and Inder brought apples, bananas, and oranges to a fruit sale. The bananas were sold for $0.50 each, while the apples
Svet_ta [9500]
The answer is 10 apples.
4 0
19 days ago
Read 2 more answers
Find the values of x1 and x2 where the following two constraints intersect.
Inessa [9000]

Answer: x1 = 251/26, x2 = -111/26

Step-by-step explanation:

Greetings!

As illustrated in the diagram, the point you seek is where the two lines intersect.

This intersection point is found by solving the system of linear equations (both equations must be satisfied by the point):

9x_1 +7x_2=57\\4x_1 + 6x_2 = 13

You can approach solving it using the substitution method:

\text{solve for x1 in the first equation:}\\x_1 = \frac{1}{9}(57 - 7x_2)

Then substitute x1 into equation 2 to resolve x2:

\frac{4}{9}(57-7x_2) + 6x_2 = 13\\\text{doing the algebra you get:}\\x_2 = \frac{-111}{26}

After which, utilize the x2 value to establish x1:

x_1 = \frac{1}{9}(57 - 7x_2)= \frac{1}{9}(57 + 7*\frac{111}{26}) = 251/26\\

4 0
3 days ago
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