Answer:
y > 6x -100
Step-by-step explanation:
the slope intercept equation of the line is
y=mx+b
m is the slope = (y2-y1) / (x2-x1) so between the y-intercept (0,-100) and the given point (25, 50) we have m= -100-50/0-25 = -150/-25 = 6
y= 6x -100
now we have to figure the inequqlity part so take point (0, 0) that belongs to the solution and substitute in the equation
0 = 6*0 -100
0 = -100 for the equation to be true we have to make it 0 > -100, we also need to make it NOT greater or equal then because the line is doted not solid so the inequality is
y > 6x -100
Answer:
176
Step-by-step explanation:
15² - 7² = (15+7)*(15-7) = 22*8 = 176
check: 225 - 49 = 176
Answer:
D) X >= to -1
Step-by-step explanation:
Since the dot on -1 is filled in, -1 is included. The arrow points to the right, implying that X is greater than or equal to -1.
Answer:
x = 25.734083
![x \approx 25.734](https://tex.z-dn.net/?f=x%20%5Capprox%2025.734)
Step-by-step explanation:
<u>Trigonometric Ratios</u>
The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.
The longest side of the triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
Note we are given an angle of 25°. The opposite side is 12 and the adjacent side is x. We need to relate those sides with a trig function (the tangent ratio)
Tangent Ratio:
![\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Ctan%5Ctheta%3D%5Cfrac%7B%5Ctext%7Bopposite%20leg%7D%7D%7B%5Ctext%7Badjacent%20leg%7D%7D)
Substituting:
![\displaystyle \tan 25^\circ=\frac{12}{x}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Ctan%2025%5E%5Ccirc%3D%5Cfrac%7B12%7D%7Bx%7D)
Solving for x:
![\displaystyle x=\frac{12}{\tan 25^\circ}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7B12%7D%7B%5Ctan%2025%5E%5Ccirc%7D)
Calculating:
![\displaystyle x=\frac{12}{0.466307}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7B12%7D%7B0.466307%7D)
x = 25.734083
Round to 3 decimals:
![\mathbf{x \approx 25.734}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%20%5Capprox%2025.734%7D)