Answer:
x = 5
Step-by-step explanation:
using the Pythagorean theorem:
(x-1)² + (x-2)² = x²
x²-2x+1 + x²-4x+4 = x²
reduce:
2x²-6x+5 = x²
subtract x² from each side:
x²-6x+5 = 0
(x-1)(x-5) = 0
x=1 but because shorter leg would be 0, a triangle would be impossible.
x=5
basic stuff
1.remove parentheses by multiplying factors.
2.use exponent rules to remove parentheses in terms with exponents.
3.combine like terms by adding coefficients.
4.combine the constants
The distance of the run Will be 16miles and the Distance of the bicycle race will be 81 miles.
<h3>What is speed?</h3>
Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.
Distance = average velocity × time
Let the time and distance of the run, respectively, be t₁ and.d₁
Let those of the bicycle race be t₂ and d₂
From the question,
t₁ + t₂ = 5
d₁ = 8t₁
d₂ = 27t₂
Total distance = 97
8t₁ + 27t₂ = 97
8 ( 5 - t₂ ) + 27t₂ = 97
40 - 8t₂ + 27t₂ = 97
40 + 19 t₂ = 97
19t₂ = 57
t₂ = 3 hours
t₁ + t ₂ = 5
t₁ = 5 - t₂
t₁ = 5 - 3 = 2 hours
Now the distances are calculated as:-
d₁ = 8t₁ = 8 x 2 = 16 miles
d₂ = 27t₂ = 27 x 3 = 81 miles
Therefore the distance of the run Will be 16miles and the Distance of the bicycle race will be 81 miles.
To know more about Speed follow
brainly.com/question/6504879
#SPJ1
Answer:
sqrt213
Step-by-step explanation:
Attached photo might help you out
Answer:
.008 x 1000 = the 8 in the ones place
Step-by-step explanation:
8 in thousandths place = .008
.008 x 1000 = 8