Answer:
(x + 4) and (x + 1)
Step-by-step explanation:
x² + 5x + 4
Consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (+ 5)
The factors are 4 and 1 , since
4 × 1 = 4 and 4 + 1 = 5 , then
x² + 5x + 4 = (x + 4)(x + 1) ← in factored form
Answer:
(a) the size of each exterior angle 360/10=36
(b) the number of sides of the polygon. 10
Step-by-step explanation:
Each interior angle of a regular polygon is 4 times each exterior angle
∴sum of interior angles: (n-2)*180=4*360
n-2=8
n=10
(a) the size of each exterior angle 360/10=36
(b) the number of sides of the polygon. 10
Answer:
9,600/75,000, 16/125
Step-by-step explanation:
art+science=75000
<u>9600 </u>
75000 =16/125
88 times 1.8 would be 158.4! Hope this helps!
Answer:
12 mph
Step-by-step explanation:
The relationship between jogging speed and walking speed means the time it takes to walk 4 miles is the same as the time it takes to jog 8 miles. Then the total travel time (0.75 h) is the time it would take to jog 1+8 = 9 miles. The jogging speed is ...
(9 mi)(.75 h) = 12 mi/h . . . average jogging speed
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<em>Check</em>
1 mile will take (1 mi)/(12 mi/h) = 1/12 h to jog.
4 miles will take (4 mi)/(6 mi/h) = 4/6 = 8/12 h to walk.
The total travel time is (1/12 +8/12) h = 9/12 h = 3/4 h. (answer checks OK)
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<em>Comment on the problem</em>
Olympic race-walking speed is on the order of 7.7 mi/h, so John's walking speed of 6 mi/h should be considered quite a bit faster than normal. The fastest marathon ever run is on the order of a bit more than 12 mi/h, so John's jogging speed is also quite a bit faster than normal. No wonder he got tired.
