<u>Answer:</u>
Standard form of a line passing through (-2, 4) and having slope of -1/7 is x + 7y = 26
<u>Solution:</u>
Given that we need to determine standard form of a line that goes through (-2 , 4) and slope of the line is -1/7
Standard form of line passing through point ( a , b ) and having slope m is given by
(y – b) = m ( x – a) --------(1)
In our case given point is ( -2 , 4 ) and slope is -1/7 that means
a = -2 , b = 4 , m = -(1/7)
On substituting given value of a , b and m is equation (1) we get
=> 7( y - 4 ) = -x – 2
=> 7y + x = -2 + 28
=> x + 7y = 26
Hence standard form of a line passing through (-2,4) and having slope of –(1/7) is x + 7y = 26
Answer:
55 for the top left and 35 for the top right
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
7x+6 + 6x -7 + 90 = 180
Combine like terms
13x+89 = 90
Subtract 89 from each side
13x+89-89 = 180-89
13x = 91
Divide by 13
13x/13 = 91/13
x =7
The top left angle is
7x+6
7*7+6 = 49+6 = 55
The top right angle is
6x-7
6*7-7 = 42-7 = 35
Answer:
Step-by-step explanation:
The area of the circle is 
The area of the triangle is 
Hence, the probability of a randomly selected point within the circle falls in the red shaded area is 
Answer:
The answer 1 degrees Fahrenheit because you have to subtract 16-15. I subtracted 16-15 instead of putting the negative sign
Answer: 4x=3y, 8x=6y
Step-by-step explanation: We can use a simplified form of an equation for this specific problem, since a solution is (3,4), if you plugin 3 for x and 4 for y you get the same thing. Since 4 times 3 equals 3 times 4 you can call x as 4 and y as 3. You can simply multiply this by 2 for another equation since it doesn't affect the ratio. I hope this helps!
