Answer:
(d) 1 mile = 10 blocks
Step-by-step explanation:
The ballpark is 8 blocks west and 15 blocks north of Jeff's home. The Pythagorean theorem tells us the straight-line distance is ...
d² = 8² +15² = 64 +225 = 289
d = √289 = 17 . . . blocks
The problem tells us this represents 1.7 miles, so the proportion is ...
blocks/miles = 17 blocks/(1.7 miles) = 10 blocks/mile
The map scale is 1 mile = 10 blocks.
Answer:
Meter – Length
Kilo – Thousand
Liter – Volume
Milli – Thousand
Gram – Mass/Weight
Centi – Hundred
Celsius – Temperature
Deci – Ten
Step-by-step explanation:
Answer:
(- 4, - 2 ) and (2, 4 )
Step-by-step explanation:
Given the 2 equations
y = x² + 3x - 6 → (1)
y = x + 2 → (2)
Substitute y = x² + 3x - 6 into (2)
x² + 3x - 6 = x + 2 ( subtract x + 2 from both sides )
x² + 2x - 8 = 0 ← in standard form
(x + 4)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 2 = 0 ⇒ x = 2
Substitute these values into (2) for corresponding values of y
x = - 4 → y = - 4 + 2 = - 2 ⇒ (- 4, - 2 )
x = 2 → y = 2 + 2 = 4 ⇒ (2, 4 )
Answer:
Step-by-step explanation:
