Answer:
a = 4
Step-by-step explanation:
y = 2x + 1 ......(1)
Going through y - y1 = m(x - x1)
m is slope and it is 2
y1 = 9 and x1 = a
y - 9 = 2(x - a)
y - 9 = 2x - 2a
y = 2x - 2a + 9 ........(2)
Equating (1) and (2)
2x + 1 = 2x - 2a + 9
Collecting like terms
2x - 2x + 2a = 9 - 1
2a = 8
a = 8/2
a = 4
Answer: x= -12
Step-by-step explanation:
These are corresponding angles which means they are the same. X+62= 50. Subtract 62 from both sides. X= -12
Answer:
see the explanation
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Let
x ----> the time in hours
y ----> the distance in miles
<em>Find the value of k</em>
For the point (4,2268)

The slope represent the speed of the airplane
so
The linear equation is

Part 1 :
The point (0,0) represents the starting point of the aircraft, when the time and distance are equal to zero. The cruising starts when time t = 0.
Part 2 :
The point (4, 2268) represents the plane after 4 hours of cruise , and shows it has traveled a distance of 2268 miles after 4 hours
Answer:
60 m^2
Step-by-step explanation:
To solve the area, solve the triangle and rectangle separately.
Solve the rectangle:
Multiply 10 and 4 to get the area of 40 m^2.
Solve the triangle:
Multiply 10 and 4, then divide by 2. The formula for a triangle's area is base*height/2. The area is 20.
Add together:
40+20 = 60 m^2
You have not provided the choices, therefore, I cannot give exact answers.
However, I will try to help you out with some information.
A cylinder is a three-dimensional geometric solid.
It has the same shape as a soda can.
<u>As for the bases, they have the following properties:</u>
1- the bases have a circular (disc) shape
2- the bases are congruent to each other
3- the bases are parallel to each other
Hope this helps :)