Step-by-step explanation:
Step one:
Given
The expression for Katya's distance away from home is given by the expression
y represents her total distance away from home
x= represent the time of travel in hours
Step two:
60 represents the rate at which the train is traveling in km per hour
20 represents the initial distance from home
we predict her distance away at a given time
say 4 hours, that is x=4hours
substituting in the expression
y=60x+20
y=60(4)+20
y=240+20
y=260km
Answer:
15 yards
Step-by-step explanation:
use pythagoras theorem
a^2 + b^2 = c^2
9^2 + 12 ^2
81 + 144
225
square root
hypoteneuse= 15 yards
Answer:
D. -3x + 18
Step-by-step explanation:
3x - 9y = 18
y = 1/3 x - 2 ... x intercept 0 = 1/3x -2 x=6
perpendicular line slope: - 1/(1/3) = -3 and (6,0) 0n the line
equation: (y-0)/(x-6) = -3
y = -3x +18
Answer:
19
Step-by-step explanation:
Substitute the values and use the order of operations to find the correct value.
q · s + r
2 · 5 + 9
10 + 9
19
Answer:
The answer to your question is:
Step-by-step explanation:
12.-
x² - 6x = 5
x² - 6x + (3)² = 5 + (3)²
x² - 6x + 9 = 5 + 9
(x - 3)² = 14
13.- x² - 6x = 12
x² - 6x + (3)² = 12 + (3)²
x² - 6x + 9 = 12 + 9
(x - 3)² = 21
x - 3 = ±√21
x1 = √21 + 3 x2 = -√21 + 3
x1 = 7.58 x2 = -1.58
14.- 2x² - 24x = - 20 Divide by 2
x² - 12 x = -10
x² - 12x + (6)² = - 10 + (6)²
x² - 12x + 36 = - 10 + 36
( x - 6) ² = 26
x - 6 = ±√26
x1 = √26 + 6 x2 = -√26 + 6
x1 = 11.1 x2 = 0.9
