Answer:
Draw a dot at (0, 1)
Draw dot at (-1, -1)
Draw dot at (1, 3)
Connect the dots with a straight line
Step-by-step explanation:
The given equation is in slope-intercept form (y = mx + b). In this form, m is the slope and b is the y-intercept (where the line crosses through the y-axis).
The slope is 2, also written as . This means that the line goes up 2 units for each 1 unit to the right.
Answer:
Infinite
Step-by-step explanation:
Get both in the form y = first.
12x - 4y = -8
-4y = -8 - 12x
y = 2 + 3x
y = 3x + 2
These are the same line so all points are the same so that means there are infinite answers.
If ONLY the number in front of the x was the same there would be 0 answers, they would be parallel lines, and if the number in front of the xs were different there would only be one answer.
Answer:
a. 4r² b. 2r c. 6 cm
Step-by-step explanation:
The surface area A of the cube is A = 24r². We know that the surface area, A of a cube also equals A = 6L² where L is the length of its side.
Now, equating both expressions, 6L² = 24r²
dividing both sides by 6, we have
6L²/6 = 24r²/6
L² = 4r². Since the area of one face is L², the polynomial that determines the area of one face is A' = 4r².
b. Since L² = 4r² the rea of one face of the cube, taking square roots of both sides, we have
√L² = √4r²
L = 2r
So, the polynomial that represents the length of an edge of the cube is L = 2r
c. The length of an edge of the cube is L = 2r. When r = 3 cm.
L = 2r = 2 × 3 cm = 6 cm
So, the length of an edge of the cube is 6 cm.
To solve this problem you must apply the proccedure shown below:
As you can see in the figure attached above, the figure has a semicircle and a rectangle, then, you have that the perimeter is:
P=(18x2)+15+(15/2)(3.14)
P=36+15+23.55
P=74.55
Therefore, as you can see, the answer for this exercise is the last option, the option d, which is: d. 74.55