Answer:
Step-by-step explanation:
for nr. 1
sum of angles in a triangle=180
x=180-(81+84)=15
acute triangle
for nr.2
x=180-(24+36)=120
obtuse triangle
Answer: The equation is y = -6*x
Step-by-step explanation:
I suppose that we want to find the equation for a line that passes through the point (-1, 6) and the origin (remember that the origin is the point (0,0))
A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is equal to:
a = (y₂ - y₁)/(x₂ - x₁)
Now we know that our line passes through the points (0, 0) and (-1, 6), then the slope is:
a = (6 - 0)/(-1 - 0) = 6/-1 = -6
Then our equation is something like:
y = -6*x + b
To find the value of b we can use the fact that this line passes through the point (0, 0).
This means that when x = 0, y is also equal to zero.
If we replace these values in the equation we get:
0 = -6*0 + b
0 = b
Then our equation is:
y = -6*x
Answer: 2nd graph and the point is (6,7)
Step-by-step explanation:
Step-by-step explanation:
f(x) = 3x² - 2x + 7
f(-2) = 3(-2)² -2(-2) + 7
= 3(4) + 4 + 7
= 23
Answer:
k = 5
Step-by-step explanation:
Since the equation is y = kx and x equals 3 while y equals 15, in order to solve this equation we are going to have to substitute the variables with their answers:
x = 3
y = 15
15 = 3k
Now we divide 3 from both 3x and 15 to segregate the variable x:
15/3 = 3k/3
5 = k
Now to check our work we are going to substitute 5 for the variable k, 3 for the variable x and 15 for the variable y.
y = kx
15= (5)(3)
15 = 15
Tada, I hope this helps you!
