Use tan(angle) = opposite leg/ adjacent leg
BC = tan(45) = x/100
X = tan(45) x 100
X = 100
BD = tan(60) = x/100
X = tan(60) x 100
X = 173
DC = BD - BC = 173-100 = 73
DC = 73
Answer:
D
Step-by-step explanation:
A) Incorrect. x = 4 means that all points on the line must have x coordinate equal to 4. Neither points satisfy this.
B) Incorrect. We can rewrite the equation to be y=x/4. If we calculate the slope between the two points we get a slope of 0, not 1/4.
C) Incorrect. If y = 3, all points must have y coordinate equal to 3. Neither points satisfy this.
D) Correct. If y = 4, all points must have y coordinate equal to 4. Both points satisfy this.
Answer:
f(x)=−4(x+ 41 ) 2 − 4 11
Explanation:
The given function is
f(x) = - 4 {x}^{2} - 2x - 3f(x)=−4x 2 −2x−3
To write the function is vertex form, we need to complete the square.
We first factor -4 to get:
f(x) = - 4 ({x}^{2} + \frac{1}{2} x) - 3f(x−4(x2 + 21 x)−3
Add and subtract the square of half the coefficient of x.
f(x) = - 4( {x}^{2} + \frac{1}{2} x + \frac{1}{16} ) - \frac{1}{4} - 3f(x)=−4(x 2 + 21 x+ 16 1 )− 41 −3
We factor the perfect square trinomial and simplify to get:
f(x) = - 4( {x + \frac{1}{4} )}^{2} - \frac{11}{4}f(x)=−4(x+ 41 ) 2 − 4 11
Is there any thing else to the directions?
It depends on the total of how long the race took, but each girl ran 1/4 of the race so if you know the total time just divide the time by 4 and you will get the answer. If you don't just say each girl ran 1/4 of the time.
