Divide the polynomials using long division.

(x^2+4x-2)÷(x-3)

(4x^2+7x+10)÷(x+2)

(2x^2-6x-12)÷(x-5)

1.x+1 with -5 as the remainder. 2.4x+15 with 40 as the remainder. 3.2x-16 with 68 as the remainder.

Step-by-step explanation:

Do the division house thing. put x square plus 4x minus 2 inside. multiply by x and put it on the roof. you will have x square plus 4x minus x square minus 3x. the x squares cancel out. Bring down the -2 and 1x from the subtraction before. u will have 1x-2. multiply by 1 to x-3. the x cancels and -2-3 equals -5. so 5 is the remainder. do the same house, and roof structure. Multiply by 4x...put on roof. the 4x squares cancels out. and 4x times 2 equals 8x. 8x+7x equals 15x. bring down the 10. multiply by 15. the x cancels. then 10+30(from 15x2) equals 40. 40 is the remainder. do the same ti tge third. 2x times x equals 2x square. the 2x squares cancels. multiply 2x by 5. -10x-6x=-16x. bring down the -12. multiply by -16. -16x+16x cancels out. since 16times -5 equals 80, bring the 18 down. it will be -12+80 which equals 68..positive 68 as the remainder. hope i helped

the value of x is 9 ⇒ answer b

step-by-step explanation:

* we can solve this problem using cosine and sine rule

- in δ abc

∵ ab = 36 , bc = 28 , ac = 16

- lets find the measure of angle b using the cosine rule

∵ cos b = [ab² + bc² - ac²]/2(ab)(bc)

∴ cos b = [36² + 28² - 16²]/2(36)(28)

∴ cos b = 19/21

∴ m∠b = cos^-1(19/21) ≅ 25°

- lets find the measure of angle a using the sine rule

∵ sina/bc = sinb/ac = sinc/ab

∴ sina/28 = sin25°/16 ⇒ by using cross multiplication

∴ sina = 28 × sin25°/16

∴ sina = 0.7396

∴ m∠a = sin^-1(0.7396) ≅ 48°

- from the figure m∠abd = m∠dbc

∵ m∠abc = 25°

∴ m∠abd = 25°/2 = 12.5°

- in δabd

∵ m∠a = 48° , m∠abd = 12.5°

∵ the sum of the measures of the interior angles of any δ is 180°

∴ m∠adb = 180° - (48° + 12.5°) = 119.5°

∵ ab = 36

∵ ad = x

- use the sine rule to find x

∵ sin∠adb/ab = sin∠abd/x

∴ sin119.5°/36 = sin12.5°/x ⇒ by using cross multiplication

∴ x = 36 × sin12.5°/sin119.5° = 8.95 ≅ 9

* the value of x is 9

answer:

probably the same as it is today since you did not eat the corn dogs yet

step-by-step explanation: