The value of a and b from the coordinates are 3 and 5 respectively
<h3>Midpoint of coordinates</h3>
The formula for finding the midpoint of two coordinates is expressed as;
M(x, y) = {x1+x2/2, y1+y1/2}
Given the following coordinates
M(a, 4)
A(1,3)
B(5,b)
Using the formula
a = 1+5/2
a = 6/2
a = 3
Similarly
4 = 3+b/2
8 = 3+b
b = 8-3
b = 5
Hence the value of a and b from the coordinates are 3 and 5 respectively
Learn more on midpoint here: brainly.com/question/18315903
#SPJ1
Answer:
541.67m²
Step-by-step explanation:
Step 1
We find the third angle
Sum of angles in a triangle = 180°
Third angle = Angle V = 180° - (63 + 50)°
= 180° - 113°
Angle V = 67°
Step 2
Find the sides x and v
We find these sides using the sine rule
Sine rule or Rule of Sines =
a/ sin A = b/ Sin B
Hence for triangle VWX
v/ sin V = w/ sin W = x / sin X
We have the following values
Angle X = 50°
Angle W = 63°
Angle V = 67°
We are given side w = 37m
Finding side v
v/ sin V = w/ sin W
v/ sin 67 = 37/sin 63
Cross Multiply
sin 67 × 37 = v × sin 63
v = sin 67 × 37/sin 63
v = 38.22495m
Finding side x
x / sin X= w/ sin W
x/ sin 50 = 37/sin 63
Cross Multiply
sin 50 × 37 = v × sin 63
x = sin 50 × 37/sin 63
x = 31.81082m
To find the area of triangle VWX
We use heron formula
= √s(s - v) (s - w) (s - x)
Where S = v + w + x/ 2
s = (38.22 + 37 + 31.81)/2
s = 53.515
Area of the triangle = √53.515× (53.515 - 38.22) × (53.515 - 37 ) × (53.515 - 31.81)
Area of the triangle = √293402.209
Area of the triangle = 541.66614164081m²
Approximately to the nearest tenth = 541.67m²
Some equivalent fractions of 8/3 are:
8/3 = 16/6 = 24/9 = 32/12 = 40/15 = 48/18 = 56/21 = 64/24 = 72/27 = 80/30 = 88/33 = 96/36 = 104/39 = 112/42 = 120/45 = 128/48 = 136/51 = 144/54 = 152/57 = 160/60
Answer:
y = 3/5 x+3
Step-by-step explanation:
two points on the graph
(-5,0) (0,3)
the y intercept is 3 (this is where it crosses the y axis)
the slope is
change in y 0 to 3 up 3
------------------ = -------------- = ------- = 3/5
change in x -5 to 0 right 5
we can tell the slope is positive because it goes from bottom left to top right
a negative slope goes from top left to bottom right
slope intercept form is
y=mx+b
y = 3/5 x+3
What do you need specifically just that one question
