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vodka [1.7K]
3 years ago
9

Is (1,2) the point of intersection of y=3x-1 and y=-x+3?​

Mathematics
1 answer:
Luden [163]3 years ago
6 0

Answer:

yes

Step-by-step explanation:

Solving the 2 equations to find the point of intersection

y = 3x - 1 → (1)

y = - x + 3 → (2)

Since both equations express y in terms of x, equate the right sides

3x - 1 = - x + 3 ( add x to both sides )

4x - 1 = 3 ( add 1 to both sides )

4x = 4 ( divide both sides by 4 )

x = 1

Substitute x = 1 into either of the 2 equations for corresponding value of y

Substituting x = 1 in (2)

y = - 1 + 3 = 2

Thus (1, 2) is the point of intersection

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a circular stained glass window frame with a diameter 20 inches is divided into 8 congruent find the area of 3 of the 8 panes of
ahrayia [7]

Answer:

it would be 45

Step-by-step explanation:

6 0
3 years ago
What is the slope of the line that passes through (3, -4) and (-2, 5). A)-5/9 B)-9/5 C)9/5 D)5/9
alisha [4.7K]
M = (y2 - y1) / (x2 - x1)
Call (3,-4) one point
Call (-2,5) the second point.

m = (5- -4) / (-2 - 3)
m = 9/-5 = - 9 / 5

B<<<< answer

7 0
3 years ago
Select the correct answer from each drop-down menu. the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5). t
torisob [31]

The equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².

Based on the calculations, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5²

The equation of a circle.

Mathematically, the standard form of the equation of a circle is given by;

(x - h)² + (y - k)² = r²

Where:

h and k represent the coordinates at the center.

r is the radius of a circle.

The midpoint of the given points represents the center of this circle:

h = (4 + 4)/2 = 4

k = (5.5 + 10.5)/2 = 8

Next, we would determine the radius by using the distance formula for coordinates:

r = √[(x₂ - x₁)² + (y₂ - y₁)²]

r = √[(4 - 4)² + (10.5 - 5.5)²]

r = √[0² + 5²]

r = √25

r = 5 units.

Therefore, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².

Learn more about circle here: brainly.com/question/12823137

#SPJ4

6 0
1 year ago
HELP QUICK PLZ!!!
yulyashka [42]
B. 12 is the answer to your queation
7 0
3 years ago
Help Please!!!!!!!!​
VladimirAG [237]

Answer:

$14.50 I'm positive.

Step-by-step explanation:

Rented one time shoes: $2.75

One game of bowling: $2.50*4 games of bowling

4 games of bowling is $10

  • $2.75+$10

One nachos: $1.75*2 orders of nachos

2 orders of nachos is $3.50

  • Half price of nachos, so 3.50/2 which is 1.75.
  • $2.75+$10+$1.75= <u>$14.50</u>

HOPE THIS HELPED :)

3 0
3 years ago
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