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kondaur [170]
3 years ago
8

Solve the following system of equations. 3 x + 2 y − 5 = 0 x = y + 10

Mathematics
1 answer:
leonid [27]3 years ago
5 0

Answer:(5,-5)

Step-by-step explanation:

Graphing these two equations means that they intersect at the point (5,-5)

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Line JK passes through points J(–4, –5) and K(–6, 3). If the equation of the line is written in slope-intercept form, y = mx + b
andrey2020 [161]
(-4,-5)(-6,3)
slope(m) = (3 - (-5) / (-6 - (-4)
slope(m) = (3 + 5) / (-6 + 4)
slope(m) = 8/-2 = -4

y = mx + b
slope(m) = -4
u can use either of ur points...I will use (-6,3)
3 = -4(-6) + b
3 = 24 + b
3 - 24 = b
- 21 = b <== here ya go
3 0
3 years ago
Read 2 more answers
Tom went on a bike ride to the store 3 miles away. If it took Tom 12 of an hour to get there and 23 of an hour to get back, what
anzhelika [568]

Answer: 0.1714 miles / hour

Step-by-step explanation:

Given the following :

Distance to the store = 3 miles

Time taken to get to store = 12 hours

Time taken to return = 23 hours

The average rate of speed for the trip =?

Average Speed = total distance traveled / total time taken

Total distance traveled = 2 × 3 miles = 6 miles

Total time taken = 12 + 23 = 35 hours

Average speed = 6 miles / 35 hours

Average speed = 0.1714 miles / hour

3 0
3 years ago
What expression is equivalent to – 6( – 6g–4)–2g?
allsm [11]

Answer:

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(36g+24)-2g.

6 0
3 years ago
You are at a playground with a see-saw and a large merry-go-round. You put your phone on the see-saw and find it slides when it
12345 [234]

Answer:  r_max = 1.75m

Step-by-step explanation:

Below is a rather brief analysis to solving this problem.

The phone starts sliding when along incline,

when F_net = m g sin(theta) - fs_max = 0  

and fs_max = us N = us m g cos(theta)

m g sin(theta) - us m g cos(theta) =

us = tan(theta) = tan38 = 0.781  

On merry - go - round,

fs_max = us N = us m g

Using F = m a

fs_max = m w^2 r_max and w = 2pi / T

us m g = m (2 pi / T)^2 (r_max)

0.781 x 9.81 = (2 pi / 3)^2 (r_max)

r_max = 1.75 m

cheers i hope this helped !!

7 0
3 years ago
How do you think Pythagoras' broad interests, life experience, and beliefs influenced his work?
Leviafan [203]
The arts the Greeks searched some reality behind the appearances of things. The early Archaic sculpture represents life in simple forms, and it seems that it was influenced by the earliest Greek natural philosophies. There was a general Greek belief that nature expresses itself in ideal forms, and it was represented by a type which was mathematically calculated. This can be observed in the construction of the first temples. The original forms were considered divine, and the forms of the later marble or stone elements indicate that there was an original wooden prototype. When the dimensions changed, the architects searched in mathematics some permanent principles behind the appearances of things <span>these ideas influenced the theory of Pythagoras and his students who asserted that "all things are numbers.</span>
3 0
4 years ago
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