Answer:
△DEF is rotated about point N to △D′E′F′ .
△DEF→Pre-Image ,△D′E′F′ → Image
1. D N ≅ D' N' [ true]
2.The corresponding side lengths in the image and the pre-image are not equal. [ False ]
3.All corresponding points on the image and pre-image are equidistant to point N. [ False]
4.The image is the same size and shape as the pre-image. [True]
Answer: 8
Step-by-step explanation:
1. Rewrite the equation:
-2x^3 - 3x^2 + 4 x = -2
2. Plug in the value of x, -2
-2(-2)^3 - 3(-2)^2 + 4
3. Use order of operations (PEMDAS):
-2(-8) - 3(4) + 4
= 16 - 12 + 4
= 8
Answer:
7, 10 and 15
Step-by-step explanation:
Given
--- Students already enrolled
Required
Determine the additional number of students needed for the teacher not to cancel the class
First, we need to calculate the number of students for the teacher to cancel the class.
Represent this with x.
So, we have:
Make x the subject
Substitute values for Total and S1
This means that if less than 7 additional students come to the class, the teacher will cancel the class.
So, for the teacher not to cancel the class, the students must be 7 or greater (i.e. 7, 8, 9, 10....)
I believe the answer will be D.