First blank: 0.1 (since that's the common difference)
Second blank: -3 (-4-(-1)=-3)
Answer:
<h3>
Line L is parallel to N </h3>
angle 1 is equal to angle 4 ( vertically opposite angles)
if angle 1 is congruent to angle 8
then angle 4 is also congruent to angle 8
then slope of line L and n is equal
that is L is parallel to n
Answer:
A) 9
B) 6
C) 2
D) 8
Step-by-step explanation:
Task 2. Because triangle BXE is similar to triangle BEC, we know the proportions are the same. Since 15 is 3/5 of 25, BX would be 3/5 of 15 = 9.
25-9=16, so the rest of BC =16. The proportions are 3:1:4, which makes the side outer lengths of XEFY=6, YFGZ=2, ZGC=8.
If all that your teacher wants is the outside edge, then those are the answers, and that’s what I put at the top. BUT, if he/she wants the entire length of the perimeter of each panel, it gets more complicated.
Answer:
Side length and perimeter of 1 face
Area of 1 face and surface area
Step-by-step explanation:
Suppose you are given cube with side length of x units.
Then
Side length = x units
Perimeter = 4x units
Area of 1 face square units
Surface area square units
Volume cubic units
A linear relationship is any equation that, when graphed, gives you a straight line.
Consider all options:
A. Side length and perimeter of 1 face is a linear relationship, because the graph of the function is a straight line.
B. Perimeter of 1 face and area of 1 face is not a linear relationship, because the graph of this relationship is a quadratic parabola with equation .
C. Surface area and volume is not a linear relationship, because the graph of this relationship is a curve with equation .
D. Area of 1 face and surface area is a linear relationship, because the graph of the function is a straight line.
E. Side length and volume is not a linear relationship, because the graph of this relationship is a cubic parabola with equation .
Answers:
- C) x = plus/minus 11
- B) No real solutions
- C) Two solutions
- A) One solution
- The value <u> 18 </u> goes in the first blank. The value <u> 17 </u> goes in the second blank.
========================================================
Explanations:
- Note how (11)^2 = (11)*(11) = 121 and also (-11)^2 = (-11)*(-11) = 121. The two negatives multiply to a positive. So that's why the solution is x = plus/minus 11. The plus minus breaks down into the two equations x = 11 or x = -11.
- There are no real solutions here because the left hand side can never be negative, no matter what real number you pick for x. As mentioned in problem 1, squaring -11 leads to a positive number 121. The same idea applies here as well.
- The two solutions are x = 0 and x = -2. We set each factor equal to zero through the zero product property. Then we solve each equation for x. The x+2 = 0 leads to x = -2.
- We use the zero product property here as well. We have a repeated factor, so we're only solving one equation and that is x-3 = 0 which leads to x = 3. The only root is x = 3.
- Apply the FOIL rule on (x+1)(x+17) to end up with x^2+17x+1x+17 which simplifies fully to x^2+18x+17. The middle x coefficient is 18, while the constant term is 17.