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gregori [183]
3 years ago
9

An object consisting of two endpoints and all of the points between them

Mathematics
1 answer:
Over [174]3 years ago
3 0

that'd be a segment.

⭕-------------------------------------⭕


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Find the equation of the line that passes through the point of intersection of x + 2y = 9 and 4x -2y = -4 and the point of inter
Rudik [331]

Answer:

y=-6x+10

Step-by-step explanation:

The point of intersection of

x+2y=9...eqn1


and


4x-2y=-4...eqn2

is the solution of the two equations.


We add equation (1) and equation(2) to get,

x+4x+2y-2y=9+-4


\Rightarrow 5x=5


\Rightarrow x=1

We put x=1 into equation (1) to get,

1+2y=9

\Rightarrow 2y=9-1

\Rightarrow 2y=8

\Rightarrow y=4


Therefore the line passes through the point, (1,4).


The line also passes through the point of intersection of

3x-4y=14...eqn(3)

and

3x+7y=-8...eqn(4)

We subtract equation (3) from equation (4) to obtain,

3x-3x+7y--4y=-8-14


\Rightarrow 11y=-22

\Rightarrow y=-2


We substitute this value into equation (4) to get,

3x+7(-2)=-8


3x-14=-8


3x=-8+14


3x=6

x=2

The line also passes through

(2,-2)



The slope of the line is

slope=\frac{4--2}{1-2} =\frac{6}{-1}=-6


The equation of the line is

y+2=-6(x-2)

y+2=-6x+12


y=-6x+10 is the required equation





4 0
4 years ago
The sum of the measures of the angles in a triangle is 1800. If two of the angles are 72 and 76 degrees, what is the missing ang
ehidna [41]

Answer:

32

Step-by-step explanation:

72 + 76 = 148

180 - 148 = 32

I hope this helps!!

4 0
2 years ago
Nina’s total trip to and from work is 14 miles. If she works 243 days this year, how many miles will she drive to and from work?
beks73 [17]

Answer:

3,402

Step-by-step explanation:

Step 1:

243 × 14

Answer:

3,402

Hope This Helps :)

4 0
3 years ago
Jeff is scuba diving while on vacation. Yesterday, he drove to -13 feet. Today he plans to go 4 times as deep. How far is Jeff p
allochka39001 [22]
52 Feet under sea level. 13 times 4 is 52, and since he is going underwater it is negative.
5 0
3 years ago
50 points and brainiest
Inessa [10]

Answer:

See the attached image

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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