Answer:
see explanation
Step-by-step explanation:
from the diagram
DF = DE + EF , that is
4x + 2 = x + 7 + 7
4x + 2 = x + 14 ( subtract x from both sides )
3x + 2 = 14 ( subtract 2 from both sides )
3x = 12 ( divide both sides by 3 )
x = 4
Then
DE = x + 7 = 4 + 7 = 11
DF = 4x + 2 = 4(4) + 2 = 16 + 2 = 18
Use the Pythagorean Theorem to find the sides of the triangle, then use trigonometric identities.
sin (θ) = sqrt(17) / 7
As a fraction. Sorry I can’t get the math symbols to work.
-2x + 6y = -34
-x + 3y = -17
x = 3y +17
Sub this into 1st eqn
5(3y + 17) + 2y = 21
15y + 85 + 2y =21
17y = -64
y = -3.7647 (to 5 sig. fig.)
y = -3.8 (to nearest tenth)
Sub y = -3.7647 into 2nd eqn
x = 3(-3.7647) +17
x = 5.7 (to nearest tenth)
Answer:
In the form of
Y= mx+c
Y= 1/2x +2
m = 1/2
Step-by-step explanation:
A linear equation in it's standard form is in the format
Y= mx+c
Where m is the slope and c is the y intercept
Let's use these two points to determine both the slope and the equation
(2, 3), (4,4)
Slope= (y2-y1)/(x2-x1)
Slope= (4-3)/(4-2)
Slope= 1/2
Equation of the linear function
(Y-y1)/(x-x1)= m
(Y-3)/(x-2)= 1/2
2(y-3) = x-2
2y -6 = x-2
2y= x-2+6
2y= x+4
Y= 1/2x +2