Answer:
Be more detailed, BC i can only give you a general answer a^2 + b^2 = c^2
Step-by-step explanation:
The legs of a triangle with a hypotenuse that measures 15 units long have lengths that are equal to 15 times the sine or cosine of the given angle.
leg 1 = (15 units) x (cos 19) = 14.18 units
leg 2 = (15 units) x (sin 19) = 4.88 units
The lengths of the legs are 14.18 units and 4.88 units.
Answer: Josh is incorrect because nickels are worth 5 cents each and 33 can not be divided by 5 exactly.
Answer:
The equation of the line is y = 4x + 13
Step-by-step explanation:
In this question, we want to write the equation of the line using the point slope form.
Mathematically, the point slope form can be represented as;
(y-y1) = m(x - x1)
where x1 = -2 , y1 = 5 and m which is the slope is 4
Plugging these values into the equation, we have;
(y-5) = 4(x - (-2))
y-5 = 4(x + 2)
y -5 = 4x + 8
y = 4x + 8 + 5
y = 4x + 13
Complete the square:
F(x) = -3x² - 6x - 5
F(x) = -3 (x² + 2x) - 5
F(x) = -3 (x² + 2x + 1 - 1) - 5
F(x) = -3 ((x + 1)² - 1) - 5
F(x) = -3 (x + 1)² + 3 - 5
F(x) = -3 (x + 1)² - 2
The y-intercept has x-coordinate equal to 0, so it corresponds to the value of F(0) :
F(0) = -3 (0 + 1)² - 2 = -3 - 2 = -5
The axis of symmetry is the vertical line running through the vertex of this parabola, so we'll come back to this.
The vertex of the parabola is (-1, -2). This represents the maximum value of F(x), which follows from
(x + 1)² ≥ 0 ⇒ -3 (x + 1)² ≤ 0 ⇒ -3 (x + 1)² - 2 ≤ -2
This is to say, every point on the parabola has a y-coordinate no greater than -2.
As mentioned earlier, the axis of symmetry is the vertical line through the vertex, and its equation is determined by the x-coordinate of the vertex. Hence the AoS is the line x = -1.
