Consider the following system of equations: y = −x + 2
y = 3x + 1
Which description best describes the solution to the system of equations?
Line y = −x + 2 intersects line y = 3x + 1.
Lines y = −x + 2 and y = 3x + 1 intersect the x-axis.
Lines y = −x + 2 and y = 3x + 1 intersect the y-axis.
Line y = −x + 2 intersects the origin.
Answers
Answer:
The correct option is A. Line y = −x + 2 intersects line y = 3x + 1.
Step-by-step explanation:
The first equation is given to be :
y = -x + 2
x 0 2
y 2 0
The second equation is :
y = 3x + 1
x 0 -1/3
y 1 0
Now, The graphs of both the equation are attached below :
So, By seeing the graph, We can observe :
- Line y = −x + 2 intersects line y = 3x + 1.
- Lines y = −x + 2 and y = 3x + 1 intersect the x-axis.
- Lines y = −x + 2 and y = 3x + 1 intersect the y-axis
But the description that best describes the solution to the system of equations is : Line y = −x + 2 intersects line y = 3x + 1.
Hence, The correct option is A. Line y = −x + 2 intersects line y = 3x + 1.
y = 3x + 1
-x + 2 = 3x + 1
+ x + x
2 = 4x + 1
- 1 - 1
1 = 4x
4 4
¹/₄ = x
y = 3x + 1
y = 3(¹/₄) + 1
y = ³/₄ + 1
y = 1³/₄
(x, y) = (¹/₄, 1³/₄)
The answer is A.
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The coordinates of point M, the midpoint of line segment AB, are (0, -2.5).
What is the midpoint of line AB?
The midpoint formula is expressed as;
M = ( (x₁+x₂)/2, (y₁+y₂)/2 )
Given the parameter:
Point A (6,-7): x₁ = 6 and y₁ = -7
Point B (-6,2): x₂ = -6 and y₂ = 2
Plug the coordinates into the above formula and simplify:
Therefore, the coordinates of the midpoint M are (0,-2.5).
Learn more about the midpoint formula here: brainly.com/question/14687140
#SPJ2
The midpoint of segment AB is (0, 2.5).
Answers
Answer:
35 is 5 times as many as 7.
Step-by-step explanation:
5*7 = 7*5
hope this helps! please give brainliest :)
Answers
Answer:
Hexagonal pyramid DOES NOT have any rectangular faces
Step-by-step explanation:
Given some solids we have to choose that one which DOES NOT have any rectangular faces
Pentagonal prism has total 7 faces out of which two faces are pentagons and 5 are rectangular.
Hexagonal pyramid is a pyramid with a hexagonal base upon which are erected 6 isosceles triangular faces.
It has no rectangular face.
Rectangular prism is a solid with 6 rectangular faces also known as cuboid.
Square pyramid is a pyramid with 1 square base. As every square is a rectangle.
we can say 1 rectangular face.
Hence, Hexagonal pyramid DOES NOT have any rectangular faces.
Option B is correct.
Answers
d=diameter
circumference=12pi
if you aprox pi=3.141592
c=37.699104 ft
Answers
10 pound of clay - x bowl
We are looking for x which is amount of bowl
After cross multiplication:
x=
That's the mathematical answer. In the real-world pottery shop, he can
make 16 complete bowls, and have 2/5 pound of clay left over.
Answers
Answer:
D
Step-by-step explanation:
A line has to be able to be straightly drawn though the points in order to be proportional