Answer:
y = -12x - 77
Step-by-step explanation:
The standard form of the equation is expressed as y = mx+b
m is the slope
Given the coordinate (-7, 7) and (-6, -5).
m = -5-7/-6+7
m = -12/1
m = -12
Get the intercept b
Substitute m= -12 and (-7 7) into y = mx+b
7 = -12(-7) + b
7 = 84 + b
b = 7 - 84
b = -77
Get the required equation
y = mx+b
y = -12x +(-77)
y = -12x - 77
This gives the required equation
Given:
Seven times the smaller of two consecutive even integers is the same as -300 minus 4 times the larger integer.
To find:
The integers
.
Solution:
Let the smaller even integer be x.
So, larger even integer is x+2 because they are consecutive even integers.
Seven times the smaller integer = 7x
-300 minus 4 times the larger integer = -300-4(x+2)
Now,




Divide both sides by 11.


So, the smaller even integer is -28.

So, the larger even integer is -26.
Answer:

Step-by-step explanation:
The Law of Sines is given by
and works for any triangle.
Therefore, we have the proportion:

Answer:
105
Step-by-step explanation:
since its a straight line it would add up to 180 degrees so 52 + 23 + 75 and you need 180 so 180-75 which gives 105 which is the missing angle