Step-by-step explanation:
1. 1/4(x + 12)=2 - first isolate X'
- 12 -12
2. 1/4(x) = -10 - 1/4 since its a fraction, you'll have to subtract not divide
-1/4 - 1/4
3. x = -10.25
Andre did the first step correctly, but on the second step he just divided 1.4 by -10, instead of subtract 1/4 from both sides.
Answer: y = -2x
Step-by-step explanation:
For a line to be perpendicular to another, it must have the opposite reciprocal slope. In this case, that means 1/2 becomes -2/1 or -2. For the line to pass through 0,0 the y intercept must be 0. Thus the line is y = -2x + 0, or y = -2x
Answer:
First of all, rectangles and rectangular prisms have one foremost difference, which is their dimensions. A rectangle has two dimensions whilst a rectangular prism has three. Those dimensions include width, length, and height- but a rectangle has only width and length. Although, in comparison, they're both made from the same quadrilateral: rectangles. A "2D" rectangle has one, while a "3D" rectangle, or rectangular prism, is made of six. The rectangles that make up a rectangular prism can also be referred to as faces.
Answer:
x = 2.5.
y = 5.
Step-by-step explanation:
As they are image and pre-image of a dilation they are similar triangles, so the corresponding sides are in the same ratio.
4/2 = 5/x
2 = 5/x
2x = 5
x = 2.5.
Also:
4/2 = (y + 1)/ 3
2 = (y + 1) / 3
y + 1 = 6
y = 5.