-x intercepts: 5, -2
-1/2(x-5)(x+2) is wider than the first equation because the coefficient is smaller
Answer:
m 1 = 45 degrees because 1 and the angle measuring 135 degrees are supplementary angles.
m 2 = 95 degrees because 2 and the angle measuring 95 degrees are vertical angles.
m 3 = 40 degrees because 1, 2, and 3 form a triangle
Step-by-step explanation:
Answer:
16√3 cm²
Step-by-step explanation:
The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.
Let's consider one side of the triangle to be 'x'
Givent that, the perimeter is 24cm,
The equation should be x + x + x = 24
⇒3x = 24
∴ x = 8 cm
To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.
Since it is an equilateral triangle, all angles are exact 60°.
let's draw a line and mark it as 'h'.
we can use sine formula to find out the opposite i.e. h
sin∅ = opposite ÷ hypotaneous
sin 60° = h ÷ 8
h = 8 sin 60°
h= 4√3
Now, let's find the area
Area = 1/2 × base × height
Area = 1/2 × 8 × 4√3
area= 16√3 cm²
we know that
Applying the law of sines
b/sin B=c/sin C-------> solve for sin C
sin C=(c/b)*sin B-----> sin C=(36/19)*sin 36
sin C=1.1137-------> the value of the sines can not be greater than 1
The side lengths and angle given cannot be used to create a triangle
therefore
with the given values there is no solution to form some triangle
Answer:
w = 1.28.
Step-by-step explanation:
To find 'w', simply divide the answer by the coefficient.


REMEMBER: ANYTIME YOU SEE A COEFFICIENT AND A VARIABLE, YOU MUST MULTIPLY THE COEFFICIENT AND THE VARIABLE.
We can check our answer by multiplying.
.
Therefore, w = 1.28.