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
Answer:
157.1
Step-by-step explanation:
If you split the blue shape like in the picture, it shows that there is 1 large semicircle and 2 smaller ones.
The area of a semicircle is (pi×radius²)÷2
First, you would find out the area of the large semicircle by substituting in the numbers:
(3.142×10²)÷2=157.1
Then you would find out the area of the smaller semicircle:
The diameter of the semicircle is 10 so to find the radius you would half it.
(3.142×5²)÷2=39.275
To find the area of the whole shape, you would have to take away 39.275 and then add it back on so the answer would be 157.1
Hope this helps :)
2 cups of sugar is 2/3 of what the recipe says so to get there you divide by 3 then multiply by 2. You do this process to the flour too. You do 4÷3×2 which is around 2.67 cups or could be rounded to 3. Hope this is helpful!
Answer:
2 < x < 4.5
Step-by-step explanation:
10<2+4x<20
We need to isolate x
Subtract 2 from all sides
10-2<2-2+4x<20-2
8<4x<18
Divide all sides by 4
8/4<4x/4<18/4
2 < x < 9/2
2 < x < 4.5