8 mi. 133 yd. 2 ft. - 5mi. 107 yd. 2 ft.
= (8 mi. - 5 mi.) + (133 yd. - 107 yd) + (2 ft. - 2ft.)
= 3 mi. +26 yd.
<h3>= 3 mi. 26 yd.</h3>
Answer:
Step-by-step explanation:
h = −16(x − 2)² + 72
= −16((x − 2)(x − 2)) + 72 expand the square (x - 2)² = (x - 2)(x - x)
= -16 ((x)(x) + (x)(-2) + (-2)(x) + (-2)(-2)) + 72
= -16 (x² + (-2x) + (-2x) + (4) ) + 72
= -16 (x² + (-4x) + (4) ) + 72
= -16 (x² - 4x + 4 ) + 72
= (-16)(x²) + (-16)(-4x) +(-16)(4) + 72
= -16x² + 64x - 64 + 72
= -16x² + 64x + 8 My guess is D ; 72 ???
I have no clue what the ; 72 means after the given answer. It must be a standard form thing I never learned.
Answer:
9
Step-by-step explanation:
Answer:
divide
Step-by-step explanation:
you divide and then use that 2 to 1 ratio
Answer:
(0.0147, 4.0147) and (-4.04, 0.04)
Step-by-step explanation:
Let the smaller number be x
Let the larger number be y
If a positive integer is 4 less than another, then;
x = y - 4 ...1
If 3 times the reciprocal of the smaller integer is subtracted from the reciprocal of the larger integer and result is -67, then;
1/y - 3(1/x) = -67
1/y -3/x = -67 ...2
Substitute 1 into 2
1/y - 3/y-4 = -67
y-4-3y/y(y-4) = -67
-4-2y = -67(y^2-4y)
- 4-2y = -67y^2 +268y
-67y^2 +268y+2y + 4 = 0
-67y^2 +270y + 4 =0
67y^2 -270y - 4 = 0
Factorize
-270±√270² - 4(-4)(67)/2(67)
= -270±√72,900+1072/134
= -270±271.97/134
= -270 -271.97/134 and -270 +271.97/134
= -541.97/134 and 1.97/134
x = 0.0147 and -4.04
y = x+4
y = 0.0147+4
y = 4.0147
If x = -4.04
y = -4.04 + 4
y = 0.04
Hence the pair of values are (0.0147, 4.0147) and (-4.04, 0.04)
