Answer:
k = 3
Step-by-step explanation:
Expand the left side and compare the coefficients of like terms on both sides.
(2x - 1)(kx + 1) ← expand using FOIL
= 2kx² + 2x - kx - 1
Compare the coefficients of the x² term on both sides
2k = 6 ( divide both sides by 2 )
k = 3
1) We want to find the area of the triangular bases, which means both shown in the net. So, normally we would divide the area by 2 (from the formula), but since we are finding the area of two triangles, that isn't necessary.
A = 8 x 3
2) There are two different sized rectangles here. One that is repeated twice and the other that is on its own. We know that A and C are the same, and if we think about how this net is folded, we can determine that the width of A and C would be 5 cm. For both sized rectangles, the length is 12 cm. For rectangle B, we can see that its width is 8 cm.
A = (8 x 12) + (5 x 12)
3) Now that we have all of the expressions needed to find the surface area, what we need to do is evaluate each of them and add them together to find the total surface area.
Triangles = 8 x 3 = 24
Rectangles = (8 x 12) + (5 x 12) = 96 + 60 = 156
Surface area = 24 + 156 = 180 square centimeters
Hope this helps! :)
A) Mean - add numbers of animals, and then divide by the number of students.
numbers of animals =1*20+2*11+3*18+4*10+5*3 +6*18 = 259
number of students = 20+20+11+18+10+3+18 = 100
mean=numbers of animals /number of students = 259 / 100=2.59
b) median
You can write 20 zeroes, 20 ones, 11 twos and so on. and the remove from left and right equal amount of number, when you get in the middle,it is going to be median
<u>20 "0", 20 "1", 11 "2"</u>, <u>18 "3", 10 "4", 5 "3", 18 "6"
</u> 51 place 51 place
From the left 20+20+11=51 places
18+5+10+18=51 places
We can see that no single middle number. In the middle is going to be two numbers 2 and 3, and divide them by 2.
(2+3)/2=2.5 median
3) (127/151)*100%≈ 84.11%
Answer
87 measures an acute angle
Step-by-step explanation:
Answer:
<u>-2</u>
Step-by-step explanation:
Find two points which lie on the line :
- Take (-2, -1) and (-1, -3)
Formula for slope (m) :
- m = y₂ - y₁ / x₂ - x₁
- m = -3 + 1 / -1 + 2
- m = -2/1
- m = <u>-2</u>
