Answer:
False, true
Step-by-step explanation:
A str. line on a coord. plane does NOT always represent a function. The vertical line x = 6, for example, represents a case in which there are more than one y-values for each x value. FALSE.
y = 2x + 1 represents a function. For any input, x, the equation y = 2x + 1 returns exactly one y value. TRUE
Answer:
1. 32
3. -11
Step-by-step explanation:
(To meet character limit)
Answer: 1.36 divided by 0.8 = 1.7
Answer:
48
Step-by-step explanation:
If the follows triangle congruence, you look at the two triangles given.
Triangle XYZ is equiangular due to it's 3 congruent angles.
Since Triangle XYZ is equiangular, that means it is also equilateral, meaning each side is congruent.
This means that side XY and Side ZY are equal to XZ and therefore
XY = 11 and ZY = 11.
Then we look at Triangle WXZ. Triangle WXZ has two congruent base angles, meaning it's an isosceles triangle.
By the converse of the isosceles triangle theorem, if 2 angles of a triangle are congruent then the sides opposite those angles are congruent.
This means XZ and WZ are congruent to each other, meaning XZ = WZ.
Since XZ= 11, that means WZ = 11.
Now we have all outside side lengths and we can find the perimeter.
Perimeter = WX + WZ + ZY + XY.
(substitute known values of sides)
11+11+11+15= Perimeter
33+15 = Perimeter
48 = Perimeter
Answer:
552
Step-by-step explanation:
This is a problem of permutation which can be solved by rule of fundamental counting principle.
This principle states that if there "m" ways of doing one thing and "n" ways of doing other. Then no. of ways in which both the things can be done together is "m*n". This can be extended for m, n, p,r, s things and so on.
example: if there are 5 shirts and 3 trousers then number of ways in which the shirts and trousers can be worn is 5*3 = 15 ways.
_____________________________________________
The given problem is on similar concepts.
here 6 short stories, 4 novels, and 23 poems have to be assigned to his class.
Thus it can be done in 6*4*23 = 552 ways.
