This is the concept of trigonometry, to get the possible length of side a we use the sine rule which states that:
a/sin A=b/sin B=c/sin B
where;
a,b and c are the sides
A,B and C are the angles
thus the value of A could be as follows;
assuming the triangle is an isosceles triangle, the base angles will be:
(180-40)/2=70
thus;
15/sin 70=a/sin 40
a=(15sin40)/sin70
a=10.26 inches
thus the possible size of a=10.26 inches
Answer:
there are no solutions
Step-by-step explanation:
Answer:
slope: -(9/8)
y-intercept: 7
equation: y = -(9/8)x + 7
Step-by-step explanation:
Solve for the slope.
<em>m</em> (slope) = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (8 , -2)
(x₂ , y₂) = (0 , 7)
Plug in the corresponding numbers to the corresponding variables:
<em>m </em>= (7 - (-2))/(0 - 8)
<em>m</em> = (7 + 2)/(0 - 8)
<em>m</em> = 9/-8
Your slope is -(9/8)
Solve for the y-intercept. Plug in your slope into the slope intercept form:
y = mx + b
Let:
(x , y) = (0 , 7) & m = -(9/8)
Plug in the corresponding numbers to the corresponding variables:
7 = -(9/8)(0) + b
Simplify:
7 = (-9/8 * 0) + b
7 = (0) + b
b = 7
Your y-intercept is 7.
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Answer:
Step-by-step explanation:
Quadratic function is given as
Let's find a, b and c:
Substituting (0, 6):
Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.
Substituting (2, 16), and c = 6
=> (Equation 1)
Substituting (3, 33), and c = 6
=> (Equation 2)
Subtract equation 1 from equation 2 to solve simultaneously for a and b.
Replace a with 4 in equation 2.
The quadratic function that represents the given 3 points would be as follows:
Answer:
y = -2x -3
Step-by-step explanation:
- the altitude trough F is a perpendicular line to the line DE
- find slope of line DE
D ( x2 = -5, y2 = -1); E (x1 = 3, y1 = 3)
slope m = (y2-y1) / (x2-x1) = (-1-3) / (-5-3) = -4/ -8 = 1/2
-find equation of the altitude trough F
lines that are perpendicular have the slope negative reciprocal (negative reciprocal of 1/2 is -2)
y= -2x +b , for point F(1, -5)
-5 = -2*1 +b, add 2 to both sides
-5 +2 = b, combine like terms
-3 =b
equation of the altitude trough F is y = -2x -3