Step-by-step explanation:
using Pythagoras a²+b²=c²
13²+16²
169+256=425
square root of 425 is 20.6 which round to 21 miles
Answer:
26*25*24=15600 ways
Step-by-step explanation:
for the gold medal, there are 26 possible people that can win it.
for the silver medal, there are 25 possible people that can win it because someone already has the gold medal.
same for bronze. 24
then multiply the numbers and you will get 15600.
Given:
-2y + 5z = -3 <span>(first equation)
</span>y = -5x - 4z - 5 (second equation)
x = 4z + 4 <span>(third equation)<span>
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Solution:
PART 1
Substitute x with (4z + 4) in the second equation
y = -5x - 4z - 5
y = -5(4z + 4) - 4z - 5
Then simplify
y = -20z - 20 - 4z - 5
add like terms
y = -20z - 4z - 20 - 5
y = -24z - 25
PART 2 : Find the value of z
We got y is equal to (-24z - 25). Substitute y with (-24z - 25) in the first equation, and we'll find the value of z.
-2y + 5z = -3
-2(-24z - 25) + 5z = -3
48z + 50 + 5z = -3
add like terms
48z + 5z = -3 - 50
53z = -53
z = -53/53
z = -1
The value of z is equal to -1
PART 3: Find y and x
Find the value of y by substitution of -1 in the place of z.
y = -24z - 25
y = -24(-1) - 25
y = 24 - 25
y = -1
The value of y is equal to -1
Find the value of x by substitution of -1 in the place of z.
x = 4z + 4
x = 4(-1) + 4
x = -4 + 4
x = 0
The value of x is equal to 0
Answer:
sorry i don't understand the writing..
Step-by-step explanation:
b + 8 =13
Move 8 to the other side
Sign changes from +8 to -8
b+8-8=13-8
b=5
Answer : b=5