Answer:
slope is -1 and y intercept is -7.
Step-by-step explanation:
3- y = x+10
or, -y = x +10-3
or, -y = x+ 7
or, y = -x-7
comparing with y= mx +c, m= -1, c= -7
Answer:
596.0 ft
Step-by-step explanation:
The relationship between the two legs of a right triangle and an acute angle is ...
Tan = Opposite/Adjacent
The height (h) of the lighthouse is the side opposite the angles of elevation. If d is the distance between A and B, we can write two tangent relations:
tan(14°) = h/770
tan(8°) = h/(770 +d)
Equating expressions for h gives ...
770·tan(14°) = (770 +d)·tan(8°)
770(tan(14°) -tan(8°)) = d·tan(8°) . . . . subtract 770·tan(8°)
d = 770·(tan(14°)/tan(8°) -1) . . . . . divide by the coefficient of d
d ≈ 770·(1.7740609 -1) = 596.03
The distance from point A to point B is about 596.0 feet.
ANSWER
The missing term is 42.
EXPLANATION.
We want to find the missing term of the equivalent ratio. 90:15=_____:7
Let y be the missing term, then
90:15=y:7
We rewrite as fractions to get;

Simplify the left ratio:

Cross multiply:


Therefore the missing term is 42.
Question 1:
The labeled points are points from the drawing are:
A,B,C,D,E
Question 2:
The intersection of the two lines is a point since the necessary condition for the two lines to intersect is that they should be on the same plane, hence they form a point.
Thus the correct answer is: True
Question 3:
The name for a given line is given from the end points that forms the line. Hence given that the two points forming the line is B and P, the correct answer is option C]
Question 4:
There are 5 letters and you use 2 to name the line, so the number of choices will be given by:
5C2=5!/(2!(5-2)!)
=(5×4×3×2×1)/(2×1×3×2×1)
=10
Question 5:
Collinear points are three or more points which lie on the same single straight line. In our case the points are:
T,X,V
Area of windows = (3×4×5)
= 60
area of wall = 8×18
= 144
=(60÷144)×100
=0.4167 × 100
=41. 67% or
=42 %