Answer:
c b a
Step-by-step explanation:
1. B
2. D
3. I don't know
4. C
1) Question 3
The system
y = 3.5x - 3.5
y = -3.5x +3.5
has one solution.
To find it, you can add the two equations:
2y = 0 => y =0
Now replace that value in any of the two original equations.
Doing it with the first of the equations:
=> 3.5x - 3.5 = 0=> 3.5x = 3.5 = x = 3.5 / 3.5 = 1
Solution (1,0)
Answer: one solution.
2) Question 4
<span>The graph of a system of equations will intersect at more than 1 point.
Some times:
For example:
y = x + 2
2y = 2x + 4
Intersects in infinite points.
y = x + 2
y = x + 3
will not intersect
y = 2x
y = x+1
will intersect at one point.
And a system with a quadratic equation and a linear equation may drive to intersection in two points.
</span>
Answer:
82 degrees.
Step-by-step explanation:
The lines AB, HG, IJ, and DC are parallel lines and the line DB is the transversal that is intersecting this group of parallel lines. It is given that the angle formed by the intersection of HG and DB is 98 degrees. Since the line is straight, the supplementary angle can be calculated by subtracting 98 degrees from 180 degrees, which is 82 degrees. Alternate angles are the angles that are formed by the intersection of the group of parallel lines and the transversal on the opposite sides of the transversal. The angles are corresponding angles if they are present on the same side of the transversal. Due to the property of corresponding angles, the angles formed by the intersection of IJ and DB are also 98 degrees and 82 degrees respectively. By the property of the alternate angles, the angle BDC is also 82 degrees. Therefore, 82 degrees is the correct answer!!!
240 inches cut into 2 equal pieces is just taking half of the wire.
Making the two pieces of wire 120 inches.
If you bend one 120 inch wire into a square, that means that each side equals 30 inches. (A square has 4 sides. 120/4 = 30)
An area of a square is length times width, which the length equals 30 and width equal to thirty. 30 * 30 = 900. square inches.
120 wire bent into a triangle makes each side equal to 40. 120/3=40. The area of an equilateral triangle is height times width. The width is just one of the sides (40 inches) but the height needs some geometry. To find the height you need to use either 30 times sin(60) or 30 times cos(30), both are equal. To be clear, I will leave the height as 30sin(60). The area will be equal to

which can be simply written as 1200sin(60).
So the sum of both areas is