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d1i1m1o1n [39]
3 years ago
15

Complete the equation of the line through (-6,5) and (-3, -3). Use exact numbers.

Mathematics
1 answer:
Arada [10]3 years ago
6 0

Answer:

24

Step-by-step explanation:

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Hello I was wondering if someone would help me with this tricky question?
Rudiy27

Answer:

The two coordinates should be (6, 3) and (10, 4).

Step-by-step explanation:

rise / run

y-value of the 2nd coordinate = 3 + 1 = 4

x-value of the 2nd coordinate = 6 + 4 = 10

The two coordinates should be <u>(6, 3) and (10, 4)</u>.

7 0
3 years ago
What is the value of the rational expression below when x is equal to 3 (17+x)\(x+2)
elena55 [62]

The value of the expression is 4.


We can find this by taking the original equation and plugging in 3 every time we see an x.


\frac{17 + x}{x + 2}

\frac{17 + 3}{3 + 2}

\frac{20}{5}

4

4 0
2 years ago
Read 2 more answers
Complete the equivalent equation for -7x-60 =x^2 +10x
alex41 [277]

Answer:

(x+12)(x+5)

Step-by-step explanation:

Formula use: a²+bx+c

  • Make one side equal to zero:

Original:

-7x-60 =x² +10x

New:

x² + 17x + 60

  • Multiply A with C

New:

(1)x x 60 = 60

  • Find factors of 60 that when added, equal to 17.

New:

10 × 6, 60 × 1, 20 × 3, <u>5 × 12</u>, 4 × 15

5 times 12 equal 60, but when added equal to 17.

  • Replace the 17 with 5 and 12

New:

x² + 5x + 12x + 60

  • Break them off into two equations

New:

x² + 5x  l  12x + 60

  • Divide each equation into it's simpilest form. Make sure the numbers in the ( ) are the same.

New:

x(x + 5)  l  +12(x+5)

  • Answer: (x+12)(x+5)

6 0
3 years ago
Two angle of a tranigle measure 55 and 20 what is the measure of the third angle
wariber [46]

Answer:

105 degrees

Step-by-step explanation:

Recall that the sum of angles in a triangle is 180 degrees. As such, where a, b and c are the angles of a triangle then

a + b + c = 180 ( all in degrees)

Given that two angles of a triangle measure 55 and 20, let the size of gthe 3rd be T then

55 + 20 + T = 180

simplify

75 + T = 180

Subtract 75 from both sides

T = 180 - 75

T = 105

7 0
2 years ago
Find the coordinates of the circumcenter of triangle ABC with vertices A(1,4) B(1,2) and C(6,2)
Ray Of Light [21]
<span>(3.5, 3) is the circumcenter of triangle ABC. The circumcenter of a triangle is the intersection of the perpendicular bisectors of each side. All three of these perpendicular bisectors will intersect at the same point. So you have a nice self check to make sure your math is correct. Now let's calculate the equation for these bisectors. Line segment AB: Slope (4-2)/(1-1) = 2/0 = infinity. This line segment is perfectly vertical. So the bisector will be perfectly horizontal, and will pass through ((1+1)/2, (4+2)/2) = (2/2, 6/2) = (1,3). So the equation for this perpendicular bisector is y = 3. Line segment BC (2-2)/(6-1) = 0/5 = 0 This line segment is perfectly horizontal. So the bisector will be perfectly vertical, and will pass through ((1+6)/2,(2+2)/2) = (7/2, 4/2) = (3.5, 2) So the equation for this perpendicular bisector is x=3.5 So those two bisectors will intersect at point (3.5,3) which is the circumcenter of triangle ABC. Now let's do a cross check to make sure that's correct. Line segment AC Slope = (4-2)/(1-6) = 2/-5 = -2/5 The perpendicular will have slope 5/2 = 2.5. So the equation is of the form y = 2.5*x + b And will pass through the point ((1+6)/2, (4+2)/2) = (7/2, 6/2) = (3.5, 3) Plug in those coordinates and calculate b. y = 2.5x + b 3 = 2.5*3.5 + b 3 = 8.75 + b -5.75 = b So the equation for the 3rd bisector is y = 2.5x - 5.75 Now let's check if the intersection with this line against the other 2 works. Determining intersection between bisector of AC and AB y = 2.5x - 5.75 y = 3 3 = 2.5x - 5.75 8.75 = 2.5x 3.5 = x And we get the correct value. Now to check AC and BC y = 2.5x - 5.75 x = 3.5 y = 2.5*3.5 - 5.75 y = 8.75 - 5.75 y = 3 And we still get the correct intersection.</span>
6 0
3 years ago
Read 2 more answers
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