Answer:
The value of x is 8cm. The length of 3 sides are 8cm, 15cm and 17cm.
Step-by-step explanation:
Using Pythagoras' Theorem, a²+b² = c² :
Let a be x cm,
Let b be x+7 cm,
Let c be 2x+1 cm
x² + (x+7)² = (2x+1)²
x² + x² + 14x + 49 = 4x² + 4x + 1
2x² + 14x + 49 = 4x² + 4x + 1
Then, move all the variables to one side and solve it to find the value of x :
4x² + 4x + 1 - 2x² - 14x - 49 = 0
2x² - 10x - 48 = 0
2(x² - 5x - 24) = 0
x² - 5x - 24 = 0
(x-8)(x+3) = 0
x - 8 = 0
x = 8 cm
x + 3 = 0
x = -3 cm (rejected)
Substitute the x value into the length of a,b and c :
a = x
= 8 cm
b = x + 7
= 8 + 7
= 15 cm
c = 2x + 1
= 2(8) + 1
= 16 + 1
= 17 cm
Answer:
$347.45
Step-by-step explanation:
total = tickets + parking + t shirt + meal
tickets = 250 + 6% tax
6% tax is of 250, so this is equal to
250 + 6% of 250
6% = 0.06 because we divide by 100 to convert to a decimal from a percentage
thus, tickets = 250 + 0.06 of 250 = 250 * 1 + 0.06 * 250 + 1.06 * 250 = 265
parking = 20
use a similar strategy from the tickets and apply that to the t shirt
t shirt = 35 + 7 % tax = 35 + 0.07 * 35 = 1.07 * 35 = 37.45
meal = 25
total = 265 + 20 + 37.45 + 25 = $347.45
Answer:
no solution
Step-by-step explanation:
1.4-5-2-3=7-6
2.-1-2-3=7-6
3.-3-3=7-6
4.-6=7-6
5.-6=1
6.since -6=1 is false, there's no solution
Answer :
Y= 2x+1
Explanation :
Y + 5 = 2 (x+3)
Multiply parenthesis by 2
Y + 5 = 2x +6
Move constant to the right
Y = 2x + 6 -5
Subtract the numbers
y= 2x + 1
And the answer should be
y= 2x + 1
Answer:
Step-by-step explanation:
