Answer:
10.25
Step-by-step explanation:
The slope of AC is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-4 -1)/(3 -(-1)) = -5/4
Then the slope of CB is the opposite reciprocal, 4/5. The equation of line CB in point-slope form is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -(-4) = 4/5(x -3) . . . . line CB
When y = 1 (to match the y-value of A), then ...
1 +4 = 4/5(x -3)
5(5/4) = (x -3) . . . . . multiply by 5/4
6.25 +3 = x = 9.25 . . . . add 3
Point B is (9.25, 1).
The length of the hypotenuse is ...
9.25 -(-1) = 10.25
Answer:
Step-by-step explanation:
rate = d / t
rate = 192 / 3
rate = 64 miles / hour
Now you want to know how long it can take to get 448 miles
d = r * t
t = d / r
t = 448/64
t = 7 hours.
You could actually do it using proportions.
192/3 = 448/x Cross multiply
192*x = 448*3
192*x = 1344 Divide by 192
x = 1344/192
x = 7
Do this the way you feel is the best way.
Answer:
TU ≈ 12.96
Step-by-step explanation:
Using the Altitude on Hypotenuse theorem
(leg of outer triangle)² = (part of hypotenuse below it) × (whole hypotenuse)
TU² = UV × SU = 6 × 28 = 168 ( take square root of both sides )
TU = ≈ 12.96 ( to the nearest hundredth )