Intersecting on the y axis means x=0.
Plug x=0 in the equation to find out the y value of the intercept> 0+4y-24=0, y=6
so the both line passes the point (0,6)
two perpendicular lines have slopes that are negative reciprocals of each other, that is, if one slope is a/b, the other is -b/a
In this case, the line x+4y-24=0, 4y=-x+24, y=-1/4 x + 6, the slope is -1/4, so the slope of the perpendicular line is 4/1.
the equation is y=4x+6
Answer:
3 terms
Step-by-step explanation:
In this problem, we are given an expression of a quadratic function of a single variable x as x² - 3x + 7.
Now, we have to find the number of terms included in the above-given expression.
The expression includes two x terms and one constant term.
Therefore, the whole expression has total ( 2 + 1 ) = 3 terms. (Answer)
Answer:
{1,4}
Step-by-step explanation:
A={3,6,9}
B={2,3,5,7}
C={1,2,3,4,5}
AUB={2,3,5,6,7,9}
(AUB)'={1,4,8,10}
(AUB)'⋂C={1,4}
Answer:
(a) 
(b) 4 miles
Step-by-step explanation:
Given:
The sequence of run is an arithmetic sequence.
Miles traveled on day 1 = 1 mile
Miles traveled on day 7 = 2 miles
(a).
Explicit formula for an arithmetic sequence is given as:
Here, 
So,
Therefore, the explicit definition of the above sequence is given as:
Where, 
is the miles covered on 
day.
(b)
In order to find the distance covered by her on day 19, we plug in 19 for n in the above formula. This gives,
Therefore, the number of miles covered by her on day 19 is 4 miles.
Answer:
Weight of copper: 62,000 lbs. (31 tons). Weight of framework: 250,000 lbs. (125 tons). Weight of concrete foundation: 54,000,000 lbs. Thickness of copper sheeting: 3/32 of an inch, the thickness of two pennies placed together. the answer in 125
Step-by-step explanation:
