Determine the intercepts of the line. -4x + 7 = 2y - 3
1 answer:
x- intercept = 5/2
y - intercept = 5
Step-by-step explanation:
the intercepts of a line are found by plugging in x=0 and y = 0
For x-intercept, we put y = 0
and
For- y-intercept we put =0
Given equation is:
Dividing both sides by -4
Putting x = 0
Dividing both sides by 2
So,
x- intercept = 5/2
y - intercept = 5
Keywords: Intercepts, lines
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Answer:
Height of the kite from the ground is 29.2 feet.
Step-by-step explanation:
For better explanation of the solution, see the figure attached :
The angle formed by the height of kite to that of the surface of the ground is right angle.
⇒ m∠ABC = 90°
Let angle of elevation be θ
Now, to find height of the kite : find length of AB
In right angled triangle ABC , using tan rule, we have
Hence, Height of the kite from the ground is 29.2 feet.
Answer:
Step-by-step explanation:
Let the coordinate of the points W, V and R are and
respectively.
The coordinate of the section point, which divides the line joining the two points
and
in the ration
is
and
.
The given ration is,
.
The exact point can be determined by putting the value of the exact coordinate in the above-obtained formula.
Answer:
0.24
Step-by-step explanation:
Total cards = 52
Face cards = heart {K,Q,J} , Spade {K,Q,J} , Club {K,Q,J} , Diamond{K,Q,J} = 12
Now we are given that You and a friend each randomly draw a card from a standard deck.
Probability that no one getting face card:
Favorable events = total cards - face cards = 52 -12= 40
Total cards = 52
So, probability that no one is getting face card =
Now we are supposed to find the probability that at least one of you is holding a face card
So, probability = 1 - probability that no one is getting face card
=1 - 0.76
= 0.24
So, probability that at least one of you is holding a face card is 0.24