9514 1404 393
Answer:
(d) 8 cm and 9 cm
Step-by-step explanation:
The sum of the other two side lengths must <em>exceed</em> 13 cm for a triangle to be possible.
8 cm and 9 cm
Answer:
the two numbers are 151 and 66
Step-by-step explanation:
x+y =217
x-y = 85
add the two equations
x+y =217
x-y = 85
-------------
2x = 302
divide by 2
2x/2 = 302/2
x = 151
now find y
x+y =217
151+y =217
subtract 151 from each side
y = 217-151
y =66
Answer:
1 ≥ t ≤ 3
Step-by-step explanation:
Given
h(t) = -16t² + 64t + 4
Required
Determine the interval which the bar is at a height greater than or equal to 52ft
This implies that
h(t) ≥ 52
Substitute -16t² + 64t + 4 for h(t)
-16t² + 64t + 4 ≥ 52
Collect like terms
-16t² + 64t + 4 - 52 ≥ 0
-16t² + 64t - 48 ≥ 0
Divide through by 16
-t² + 4t - 3 ≥ 0
Multiply through by -1
t² - 4t + 3 ≤ 0
t² - 3t - t + 3 ≤ 0
t(t - 3) -1(t - 3) ≤ 0
(t - 1)(t - 3) ≤ 0
t - 1 ≤ 0 or t - 3 ≤ 0
t ≤ 1 or t ≤ 3
Rewrite as:
1 ≥ t or t ≤ 3
Combine inequality
1 ≥ t ≤ 3
Answer:
n=-6
Step-by-step explanation:
distribute -7 into (4n+8)
-10n+50=-28n-56-2
combine like terms
-10n+50=-28n-58
add -28n on both sides
-10n+28n+50=-58
combine like terms again
18n+50=-58
subtract 50 on both sides
18n=-108
divide both sides by 18
x=-6
hope this helps
Answer:
OPTION 1
Step-by-step explanation:
You just basically plug in x and y values in all the equations and check if you get the same answer each time.
Option 1 is correct because when you plug in let's say the first coordinates,10 and 4 it does give you 6 which is right.
Or you can test it the other way, just plugging in x values and see if you get the right y value for it shown above in the table.
Hope this helps!
