5x + y = 15
y = -5x + 15
Substituting y= -5x+15 from first equation into second equation:
3x + 2y = 16
3x + 2·(-5x + 15) = 16
3x - 10x + 30 = 16
-7x + 30 = 16
7x = 30 - 16 = 14
x = 2
Substituting x=2 into the first equation:
5x + y = 15
5(2) + y = 15
10 + y = 15
y = 15 - 10
y = 5
So your final answers are x=2 and y=5.
Answer:
3 tiles will not fit together.
Step-by-step explanation:
Measure of an Interior angle of a polygon = 
Here, n = number of sides of the polygon
Therefore, measure of the interior angles of a regular hexagon,
A = 
A = 120°
Similarly, interior angle of the regular pentagon,
B = 
B = 108°
Now m∠A + m∠B + m∠C = 360°
m∠C = 360° - (120° + 108°)
= 132°
To fit the given three tiles perfectly, interior angle (∠D) of the third Octagonal tile should be 132°.
D = 
D = 135°
m∠C ≠ m∠D
Therefore, 3 tiles will not fit together.
From.the calculated area and perimeter of the field, it will cost the farmer $475740 to fence and seed the pasture.
<h3>What is the area of the field?</h3>
The area of the field is calculated as follows:
Area of square = 450 ft × 450 ft = 202500 square feet
Area of triangle = (450 ft × 120 ft)/2 = 27000 square feet
Area of field = 229500 square feet
Cost of seeding the field = 229500 × $2 = $459000
Perimeter of the field = 450 + 450 + 450 + 255 + 255 = 1860 ft
1 ft = 1/3 yard
1860 ft = 1860 × 1/3 yards = 620 yards
Cost of fencing = 620 × $27 = $16740
Total cost of seeding and fencing = $475200
Therefore, it will cost the farmer $475740 to fence and seed the pasture.
Learn more about area and perimeter at: brainly.com/question/19819849
Answer:
positive
Step-by-step explanation:
The discriminant is positive
If there are 2 real roots ( where it crosses the x axis), then the discriminant is positive
