Answer:
C. between L and M
Step-by-step explanation:
You can rewrite the ratio to give the ratio AP:AB. That will be ...
AP : AB = AP : (AP +PB) = 4 : (4+3) = 4 : 7
Now, you can find how many fifths this is:
5·4/7 = 20/7 = 2 6/5
This is a number more than 2 and less than 3.
This means point P is located between 2/5 (L) and 3/5 (M) of the length of AB.
Answer:
Hope this is help full
15.5
Step-by-step explanation:
1.5-4+13
2.5+13
15.5
Answer:
Height of the streetlight ≈ 8 ft(nearest foot)
Step-by-step explanation:
The doc file displays the triangle formed from the illustration. x is the height of the street light. The distance from the gentle man to the street light is 10 ft. He has a height of 5.6 ft and the shadow formed on the ground is 24 ft long. The height of the street light can be calculated below.
The length of the tip of the shadow to the base of the street light is 34 ft. Similar triangle have equal ratio of their corresponding sides .
ab = 5.6 ft
The ratio of the base sides = 24/34
The ratio of the heights = 5.6/x
The two ratio are equal Therefore,
24/34 = 5.6/x
24x = 5.6 × 34
24x = 190.4
divide both side by 24
x = 190.4/24
x = 7.93333333333
x ≈ 8 ft
Height of the streetlight ≈ 8 ft(nearest foot)
X² = 20
x = sqrt20
x = + or - 2root5
x = 2root5
x = -2root5
ANSWER
The system has two solutions.
EXPLANATION
The given equations are
and
We equate both equations to obtain;
This implies that,
where a=1, b=-1,c=-2.
We find the discriminant, D=b²-4ac of this equation to be;
Since the discriminant is greater than zero, it means the two functions intersected at two distinct points.
Hence the system has two solutions.