The park is a total of 3+3 = 6 miles east of the mall, and 4+5=9 miles north of it. The Pythagorean theorem tells you the straight-line distance in miles is
√(6² +9²) = √117 ≈ 10.8
Answer:
h(x) = -2x^2 -2
Step-by-step explanation:
You know that translating the point (a, b) vertically downward by 3 units will make it be the point (a, b-3).
The same translation works on the point (x, f(x)), or when a=x and b=f(x). Translated downward by 3 units, the point becomes ...
(x, f(x) -3)
You want to name this (x, h(x)), so we have ...
h(x) = f(x) -3
h(x) = -2x^2 +1 -3 . . . substitute the expression for f(x)
h(x) = -2x^2 -2 . . . . . simplify
1. The perimeter is 56.
? 2. B. area of the floor.
? 3. C. 6 square centimeters.
4. 324 square feet
5. 290 square centimeters
The ? means an estimated guess, sorry if I get it wrong.
Hope this helps! :)
Answer:
73 inches
Step-by-step explanation:
To be similar ratios of the corresponding sides should be constant.
|UV|/|EO| = 8/4=2/1
|VL|/|OG| = 4/2=2/1
|LU|/|GE| = 6/3 = 2/1
So,all three corresponding pair of these triangles UVL and EOG are in proportion, so ΔUVL and ΔEOG are similar.
Because ΔUVL and ΔEOG are similar, their corresponding angles are congruent.
m∠U=m∠E
m∠V=m∠O
m∠L=m∠G.
