Answer:
slope (3,1) using rise over run y-intercept -1
Step-by-step explanation:
Starting at your y-intercept -1 and going up three and 1 to the right you get to your next point on the graph
Answer:
Always
Step-by-step explanation:
we know that
If points A, B, and C lie on a line, the the sum of the length of segment AB plus the length of the segment BC is always the length of segment AC
so
AC=AB+BC
Answer: a) BC = 1386.8 ft
b) CD = 565.8 ft
Step-by-step explanation:
Looking at the triangle,
AD = BD + 7600
BD = AD - 7600
Considering triangle BCD, we would apply the the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side. Therefore,
Tan 24 = CD/BD = CD/(AD - 700)
0.445 = CD/(AD - 700)
CD = 0.445(AD - 700)
CD = 0.445AD - 311.5 - - - - - - - -1
Considering triangle ADC,
Tan 16 = CD/AD
CD = ADtan16 = 0.287AD
Substituting CD = 0.287AD into equation 1, it becomes
CD = 0.445AD - 311.5
0.287AD = 0.445AD - 311.5
0.445AD - 0.287AD = 311.5
0.158AD = 311.5
AD = 311.5/0.158
AD = 1971.52
CD = 0.287AD = 0.287 × 1971.52
CD = 565.8 ft
To determine BC, we would apply the Sine trigonometric ratio which is expressed as
Sin θ = opposite side/hypotenuse
Sin 24 = CD/BC
BC = CD/Sin24 = 565.8/0.408
BC = 1386.8 ft
Answer:
f(-3) = -9.
Step-by-step explanation:
The equation of the curve in vertex form is:
f(x) = a(x + 3)^2 - 9 a is positive as the parabola opens up.
It passes through the point (1.5, 4), so
4 = a(1.5 + 3)^2 - 9
20.25a = 13
a = 13/20.25
a = 0.6420.
So the equation of the graph is
0.6420(x + 3)^2 - 9.
f(-3) = 0.6420(-3 + 3)^2 - 9
= 0.642*0 - 9.
= -9.
His average speed will be 75 miles per hour. Hope it help!
