Answer:
no solutions
Step-by-step explanation:
10x+2y=42
5x+y=20
Multiply the second equation by -2 to use elimination
-2(5x+y)=20*-2
-10x -2y = -40
Add this to the first equation
10x+2y=42
-10x -2y = -40
--------------------------
0 = 2
This is never true. This means there are no solutions
Answer:
C) 33 meters
Step-by-step explanation:
In this question, we need to find the value of the variable "x".
To do this, we must use the Pythagorean theorem: a² + b² = c²
Plug in your values and solve:
56² + b² = 65²
3,136 + b² = 65²
3,136 + b² = 4,225
Subtract 3,136 from both sides.
b² = 1,089
To cancel out the exponent, we would square root both sides.
√b² = √1,089
b = 33
This means that C) 33 meters will be your answer.
Answer:
66.3 sq ft
Step-by-step explanation:
Here's the plan: we'll find the area of the circle then subtract the area of the triangle.
Area of circle:
A = pi•r^2
= pi•6^2
= 3.14•36
~= 113.04
Area of triangle:
A = 1/2bh
= 1/2(10.39)(9)
The height is the 6+3 in the image.
~= 46.755
Subtract to find
Area of Shaded:
113.04 - 46.755
= 66.285
Round to nearest tenth.
~= 66.3 sq ft
Answer:
y = 2x +1
Step-by-step explanation:
y=kx+1
Substitute the point into the equation
3 = k(1) + 1
3 = k+1
Subtract 1 from each side
3-1 = k
2 = k
y = 2x +1
The slope is 2 and the y intercept is 1
Answer:
The length of the longest side is 13mm
Step-by-step explanation:
Represent the two sides with a and b, where a is the longest


Required
Determine the length of the longest side
Perimeter of a kite is calculated as thus:

Make b the subject in 

Substitute a - 1 for b and 50 for Perimeter in 

Divide through by 2


Add 1 to both sides



Solve for a


<em>Hence, the length of the longest side is 13mm</em>