Imagine right triangle PHF, where P - park, H - home and F - football field, then PH, PF are legs and HF is hypotenuse . Denote point L to be library. You know that point L lies on the segment FH and FL=8, LH=2. Also you know that PL is an altitude to the hypotenuse.
Use the property of altitude drawn from the vertex of right angle to the hypotenuse (the length of the altitude is geometrical mean between legs' projections onto hypotenuse):
mi.
This means that the distance between park and libriry is 4 miles.
Consider right triangle PLF ( angle L is right angle and PF - hypotenuse). By the Pythagorean theorem,
mi. The distance between park and football field is 
miles.
Answer: the distance between park and libriry is 4 miles and the distance between park and football field is miles.
The circumference of a circle is pi x r^2, therefore, pi x 1.5^2 = 7.068583 ft. then multiply 7.0686 x $.75/per ft = $5.30
Answer:
B. The y-intercept will shift down
Step-by-step explanation:
You can set them equal to eachother
x+1=3x-19
solve for X
-3x both sides
-2x+1=-19
-1 both sides
-2x=-20
÷-2 both sides
x=10
y=10+1
y=11
Answer:
D. 8-cm square
Step-by-step explanation:
The smaller square shown on the figure has an area of 15×15 = 225. The sum of the two smaller square areas must equal the larger square area, so the smallest square must have an area of ...
289 -225 = 64
Its side dimensions will be √64 = 8 cm.
The diagram is correctly completed by the 8 cm square.
