# Henry2,

Newest questions and responses by Henry2,-
## algebra

Given: r1(3, 0), r2(7, 0). y-int.(0, -21). V(5, 4). Y = a(x-h)^2 + k. a(3 - 5)^2 + 4 = 0, 4a = -4, a = -1. Vertex form: Y = -1(x - 5)^2 + 4. Y = -1(x^2 - 10x + 25) + 4, Y = -x^2 + 10x - 21(Standard form).

*posted on March 20, 2019* -
## Math

They gave you the Eq and the dimensions; what do you need?

*posted on March 19, 2019* -
## math

As = 2*(W*h) + 2*(L*h) + 2*(L*W). As = 2*(5*7) + 2*(14*7) + 2*(14*5) =

*posted on March 19, 2019* -
## Physics

16t^2 = 10,000. t = 25 s. d = 300mi/h * (25/3600)h =

*posted on March 19, 2019* -
## Math

Note: The given x-int. satisfy my Eq., but my y-int. is -9.2 instead of 1.5.

*posted on March 19, 2019* -
## Math

Y = Ax^2 + Bx + C. C = -4.6 * 2 = -9.2. B = -4.6 + 2 = -2.6. h = (-2 + 4.6)/2 = 1.3. h = -B/2A = 1.3. 2.6/2A = 1.3, A = 1. Eq: Y = x^2 - 2.6x - 9.2.

*posted on March 19, 2019* -
## physics

M*g = 1800 * 9.8 = 17,640 N. = Wt. of vehicle = Normal force, Fn. u*Fn = 0.7 * 17,640 = 12,348 N. = Force of kinetic friction. -uFn = M * a. -12,348 = 1800 * a. a = -686 m/s^2. V^2 = Vo^2 + 2a*d = 0. 25^2 + (-13.72)d = 0, d = 45.6 m.

*posted on March 18, 2019* -
## Math

360-316 = 44o W. of N. Cos44 = h/505. h = 363 km. Cos A = 363/770. A = 62o W. of S. = 242o CW from +y-axis = Bearing(Heading) from Elgin to Canton.

*posted on March 17, 2019* -
## Math

All angles are measured CW from +y-axis. d = 20km[205o] - 30km[60o]. X = 20*sin205 - 30*sin60 = -34.43 km. Y = 20*Cos205 - 30*Cos60 = -33.13 km. d = sqrt(X^2 + Y^2).

*posted on March 16, 2019* -
## Math

V = Vo - Vo*r*T = $42,000. 150,000 - 150,000*r*9 = 42,000. 1 - 9r = 0.28, 9r = 0.72, r = 0.08/yr. = Annual depreciation rate. V = Vo - Vo*r*T. V = 150,000 - 150,000*0.08*4 = $102,000.

*posted on March 15, 2019* -
## math

b. (8, -98) is NOT a solution. (8, -99) IS a solution.

*posted on March 15, 2019* -
## Math

sqrt(-50x^2y^2) = sqrt(25*2*(-1)x^2y^2) = 5i(xy)sqrt(2). Note: sqrt 25 = 5, sqrt (-1) = i, 2 remains under radical.

*posted on March 15, 2019* -
## math

Alex has X jelly beans. x - 2x/5 = 3x/5 remaining. 1/3 * 3x/5 = 3x/15 = x/5 remaining. x/5 = 51. X = 255. Martha ate 2/3 * 3x/5 = 2/3 * (3*255)/5 = 102 Jelly beans. 102/255 = 34/85 = 2/5 of original jelly beans.

*posted on March 14, 2019* -
## Math

Troyan is X yrs. old. Tyshai is 7x yrs. old. 5 yrs. Later: (x+5) + (7x+5) = 98. X =

*posted on March 14, 2019* -
## Math

P*r*t = I. 250 * r * 3 = 30. 750r = 30, r = 0.04 = 4%.

*posted on March 14, 2019* -
## math

r = d/t = 792mi/125min. = 6.336 mi/min. d = r*t = 6.336 * 30 =

*posted on March 14, 2019* -
## Maths

B = 180 - (35+65) = 80o. AB/sin65 = 6/sin80. AB = 6*sin65/sin80 = 5.52 cm BC/sin35 = 6/sin80. BC = ?

*posted on March 13, 2019* -
## Math

6/(2/3) = 6 * 3/2 = 18/2 = 9 Loaves.

*posted on March 12, 2019* -
## Math

5/6/(1/3) = 5/6 * 3/1 = 15/6 = 2 3/6 = 2 1/2 servings. A half serving = 1/2 * 1/3 = 1/6 cup.

*posted on March 11, 2019* -
## Math

Parker Music: $40/h Joelle Music: $25/0.5h = $50./h. 50 - 40 = $10 more per h.

*posted on March 11, 2019* -
## Math

3/10 pizza for each friend.

*posted on March 11, 2019* -
## math

43/10 - n = 4. n = 43/10 - 4 = 43/10 - 40/10 = 3/10.

*posted on March 10, 2019* -
## Maths

|2x| > |2x-5| + |x+1|. 2x > 2x-5 + x+1. 2x -2x - x > -4, -x > -4, X < 4. Reversed inequality sign after dividing by -1.

*posted on March 10, 2019* -
## Math

2L = 2,000 mL. 2000mL/250mL = 8 glasses.

*posted on March 10, 2019* -
## Math

2cups * 8oz/cup = 16 oz. = 16 oz./bottle. 16oz./bottle * 5bottles = 80 oz. of juice. 1qt. = 32 oz. of juice.

*posted on March 10, 2019* -
## Math

Function Q: (4, 0), m = 1/4. Y = mx + b. 0 = (1/4)4 + b, b = -1 = y-int. Eq: Y = (1/4)x - 1. Function R: (x, y): (-4, 14), (3, 0), (5, -4). m = (0-14)/(3-(-4)) = -14/7 = --2. Y = mx + b, 14 = -2*(-4) + b. b = 6 = y-int. Eq: Y = -2x + 6.

*posted on March 9, 2019* -
## Maths

sin40 = d/200. d = 200*sin40.

*posted on March 9, 2019* -
## algebra

sqrt a^4 = a^2. Sqrt 169 = 13. solution: (a^2 - 13)^2. check: (a^2 - 13)^2 = a^4 - 26a^2 + 169.

*posted on March 9, 2019* -
## math

31 - 21 = 21 people to sat on blankets. 21people * 1blanket/3people = 21 * 1/3 = 7 blankets needed.

*posted on March 9, 2019* -
## Algebra

F(x) = 4x^2 - 12x + 13. h = -B/2A = 12/8 = 3/2. K = 4(3/2)^2 - 12(3/2) + 13 = 9 - 18 + 13 = 4. Vertex Form: F(x) = a(x-h)^2 + k. = 4(x - 3/2)^2 + 4.

*posted on March 8, 2019* -
## Math

Yes, who is Barbara's competitor? How fast does he/she walk?

*posted on March 8, 2019* -
## Math

water/flour = 6/4 = 3/2. a. 3/2 = W/6. 2W = 18, W = 9 cups of water. b. 3/2 = 2/F. 3F = 4, F = 4/3 = 1 1/3 cups of flour.

*posted on March 8, 2019* -
## Math

sin A = 1/2 = Y/r. Cos A = sqrt3/2 = X/r. x = sqrt 3, Y = 1, r = 2. Tan A = Y/X = 1/sqrt3. Cot A = 1/Tan A = sqrt3/1 = sqrt 3. sec A = 1/Cos A = 2/sqrt 3. csc A = 1/sin A = 2/1 = 2.

*posted on March 8, 2019* -
## mATH

(-3, 16), (15, -8). X = (15-(-3)) = 18. Y = (-8-16) = -24. d = sqrt(X^2 + Y^2) =

*posted on March 8, 2019* -
## Math

17ft + (6/12)ft = 17 + 1/2 = 17.5 Ft.

*posted on March 8, 2019* -
## math

31 - 10 = 21 People to sit on blankets. Can you finish it?

*posted on March 8, 2019* -
## Math

You are welcome!

*posted on March 8, 2019* -
## Math

You are welcome!

*posted on March 8, 2019* -
## Math

Eq1: 2x - 5y + 3z = 8. Eq3: 2x + 6y + 4z = -6.(multiplied by 2). Diff. = -11y - z = 14. Eq2: 3x - y + 4z = 7. Eq3: 3x + 9y + 6z = -9.(been multiplied by 3). Diff. = -10y - 2z = 16. -22y - 2z = 28.(been multiplied by 2). -10y - 2z = 16. Diff. = -12y = 12, Y

*posted on March 7, 2019* -
## Math

Multiplying Eq2 and Eq3 by 3 won't help, because it does not eliminate a variable. Yes, you can use Eq1 and Eq3 and then Eq2 and Eq3. Eliminate X in each case. .

*posted on March 7, 2019* -
## Math

-45/6 + (-13/6) = -58/6 = -29/3.

*posted on March 7, 2019* -
## Math

b + 7/8 >= 1/6. b >= 1/6 - 7/8, b >= 4/24 - 21/24, b >= -17/24. Do you mean 40 < (5/8)k ? If so: 40 < 5k/8. Multiply both sides by 8: 320 < 5k, 320/5 < 5k/5, 64 < k.

*posted on March 6, 2019* -
## Math

Net Loss = -26 - 11 - 9 + 13 = $33.

*posted on March 6, 2019* -
## Math

Change = (22-(-13))/(10-3) = 35/7 = 5oF.

*posted on March 6, 2019* -
## Geometry

We cannot help you without the required information. Please READ your post.

*posted on March 6, 2019* -
## Physics HELP

I = V/Rm = 5.70/95 = 0.06A. r = V/I = (6-5.7)/0.06 = 0.30/0.06 = 5. Ohms.

*posted on March 6, 2019* -
## math

-13V = 195. V = 195/-13 = -15. Check: (-15) * (-13) = +195.

*posted on March 6, 2019* -
## Geometry

Tan110 = d/X. d = x*Tan110. . Tan150 = d/(x-75). d = (x-75)*Tan150. x*Tan110 = (x-75)*Tan150. x = (x-75)*Tan150/Tan110, x = (x-75)*0.21, x = 0.21x - 15.75, X = -20 Ft. d = x*Tan110 = -20*Tan110 = 55 Ft.

*posted on March 6, 2019* -
## Math 6th grade

The last choice is my answer.

*posted on March 5, 2019* -
## Electricity

kW =1500/1000 = 1.5. kWh = 1.5 * 5 = 7.5. Cost = 7.5 * 10 = 75 Cents.

*posted on March 5, 2019* -
## Electricity

I = E/7R = 15/7R. V1 = I*R = 15/7R * R = 15/7 = 2.14 Volts. V2 = I*2R = 15/7R * 2R = 30/7 = 4.29 Volts. V3 = I*4R = 15/7R * 4R = 60/7 = 8.57 Volts.

*posted on March 5, 2019* -
## Electricity

Given: E = 130 Volts. 100v. is too low for the given circuit values. R1 = 3k. R2 = 4k. R3 = 1k, P3 = 200mW. R4 = ? a. P3 = V3^2/R3 = 200. V3^2/1 = 200, V3 = 14.14 volts. I3 = V3/R3 = 14.14/1=14.14 mA = I1 = I2 = I4. b. V4 = E - I(R1+R2+R3) = 130 -

*posted on March 5, 2019* -
## Electricity

2. radius = 2 mm = 0.002 meters. A = pi*r^2 = 3.14 * (2*10^-3)^2 = 1.26*10^-5 m^2. R = p*L/A = 2.8*10^-8 * 25/1.26*10^-5 = 0.056 Ohms.

*posted on March 5, 2019* -
## Physics

1. Mass = 10cm/5cm * 5kg = 2. k = 35/0.25cm = 3. M*g = 2 * 9.8 = 19.6 N. applied. Spring A: Disp. = 19.6N * 1m/5N = 3.92 m. M*g = 10 * 9.8 = 98 N. applied. Spring B: Disp. = 98N * 1m/9N = 10.9 m.

*posted on March 4, 2019* -
## Math

Y = 4x^2 = 4*(-2)^2 = 4 * 4 = 16. (-2, 16). My answer is A.

*posted on March 4, 2019* -
## Algebra

7. Add 4 to each side and solve for h. 8. P = $245/35 = 9. Do you mean : 8*2 + 9(12/3x^2) - 7.

*posted on March 4, 2019* -
## math

Yes,

*posted on March 4, 2019* -
## math

-13v = 195. V = -15. My answer is D.

*posted on March 4, 2019* -
## math

Y = 4(x+5)(x-2). = 4(x^2-2x+5x-10), = 4(x^2+3x-10), Y = 4x^2+12x-40. Vertex form: a(x-h)*2 + k. a = 4. h = -B/2A = -12/8 = -3/2. K = 4(-3/2)^2 + 12(-3/2) - 40 = 9 - 18 - 40 = -49. Y = 4(x+3/2)^2 -49. You are correct!! Excellent job!

*posted on March 4, 2019* -
## Math

r = X km/h in the mornings. r = x-1 km/h in the evening. t1 + t2 = 5 .4 h. x * t1 = 12. t1 = 12/x. (x-1) * t2 = 12. t2 = 12/(x-1). t1 + t2 = 5.4. 12/x + 12/(x-1) = 5.4. 12(x-1) + 12x = 5.4x(x-1), 12x - 12 +12x = 5.4x^2 - 5.4x, 5.4x^2 - 24x - 5.4x + 12 = 0.

*posted on March 3, 2019* -
## physics

1. V = Vo + g*Tr = 0., 48 + (-32)Tr = 0, Tr36 + = 1.5 s. = Rise time. 2. V^2 = Vo^2 + 2g*h = 0. 48^2 + (-64)h = 0, h = 36 ft. 3. h = 0.5g*Tf^2 = 36 + 160. 16*Tf^2 = 196, Tf = 3.5 s. = Fall time. Tr + Tf = 1.5 + 3.5 = 5.0 s. = Time in air. 4. V = Vo + g*Tf

*posted on March 3, 2019* -
## Math

All angles are measured CW from the +y-axis. P = 0o. Q = 90o.

*posted on March 3, 2019* -
## math

All angles are measured CW from +y-axis. a. cos45 = h/200. h = 141.4 km. sin45 = d1/200. d1 = 141.4 km. Tan60 = d2/141.4. d2 = 245 km. XZ = d1 + d2 = 141.4 + 245 = 386 km. b. YZ^2 = d2^2 + h^2 = 245^2 + 141.4^2 = 80,019, YZ = 283 km[120o] CW. b.

*posted on March 3, 2019* -
## MATH

football = 0.38 * 500 = 190 students. basketball = 0.27 * 500 = 135 students. 190 - 135 =

*posted on March 2, 2019* -
## Math

Vo = 25ft./s[Ao]. Xo = 25*cosA. Yo = 25*sinA. Y^2 = Yo^2 + 2g*h = 0. Yo^2 +(- 64)*4.7 = 0, Yo = 17.3 ft/s. = vert. component of initial velocity. a. Yo = 25*sinA = 17.3 ft/s. b. A = 43.8o = angle of her launch. h = Yo*t + 0.5g*t^2 = 17.3*0.5 + (-16)*0.5^2

*posted on March 1, 2019* -
## Math

See post: 3-1-19, 1:28PM.

*posted on March 1, 2019* -
## Math

P1(-8, -4), P2(-4, -3). m = (-3-(-4))/(-4-(-8)) = 1/4. Y = mx + b. -4 = (1/4)*(-8) +b, b = -2. = Y-int. Eq: Y = (1/4)x - 2. 0 = (1/4)x - 2. X = 8 = x-int.

*posted on March 1, 2019* -
## math

has 2 Lbs. of flour. 2/5 for pizza. 3/10*3/5 = 9/50 for bread. 7/10*3/5 = 21/50 remaining. Weight = 21/50 * 2 = 42/50 = 0.84 Lbs.

*posted on February 28, 2019* -
## Math repost for Will

Total distance = X meters. swims x/4 meters. cycles 3/5*3x/4 meters = 9x/20 meters. runs 2/5*3x/4 = 6x/20 = 3600 meters. 6x/20 = 3600. X = 12,000 meters.

*posted on February 28, 2019* -
## math

2/5 + 1/2 = 4/10 + 5/10 = 9/10 of his time. 1 - 9/10 = 10/10 - 9/10 = 1/10 of his time talking with friends. T = 1/10 * 6 = 0.6 h = 36 min. talking with friends.

*posted on February 28, 2019* -
## Math

As = (W*h)*2 + (L*h)*2 + (L*W)*2 = surface area As = (8*2)*2 + (12*2)*2 + (12*8)*2 =

*posted on February 28, 2019* -
## math help

Y = x - 3. Y = 2 - 3 = -1. So the answer is C.

*posted on February 27, 2019* -
## physics

V^2 = Vo^2 + 2g*h = 0. Vo^2 + (-19.6)2.222*10^6 = 0, Vo^2 = 43.55*10^6, Vo = 6,599.3 m/s.

*posted on February 27, 2019* -
## physics

F = 1625N/m * 0.121m = 196.6 N. Work = F * d = 196.6 * 0.121 = 23.8 Joules.

*posted on February 27, 2019* -
## physics

M*g = 31 * 9.8 = 303.8 N. = Wt. of block. h = 24 * sin30 = 12 m. KE + F*d = PE. 3645.6 + F*d = 303.8 * 12 = 3645.6, F*d = 0. Therefore, there is no friction and no work done by friction.

*posted on February 27, 2019* -
## physics

M*g = 1.11 * 9.8 = 10.9 N. = Wt. of block. Fp = 10.9*sin 28 = 5.1 N. = Force parallel to incline. Fn = 10.9*cos28 = 9.6 N. = Normal force. u*Fn = Force of kinetic friction Fp - u*Fn = M*a. a = 0(constant velocity). 5.1 - u*Fn = 1.11*0, u*Fn = 5.1 N. =

*posted on February 27, 2019* -
## Math

5/12 * 4/12 = 5/12 * 1/3 = 5/36.

*posted on February 27, 2019* -
## math

a/d = 7/13. a/130 = 7/13, a = 70. c/a = 5/14. c/70 = 5/14. c = 25 students in cooking club.

*posted on February 27, 2019* -
## Math

5/12 * 4/12 =

*posted on February 27, 2019* -
## Math

sqrt(2x) + 3 + 6 = 0. sqrt(2x) = -9, 2x =(-9)^2 = 81, X = 40.5. Check: sqrt(2*40.5) +3 +6 = 0.). sqrt(81) + 3 + 6 = 0, -9 + 9 = 0. Note: The sq. root of 81 = +9 or (-9). I chose (-9), because it satisfies the Eq. If these operations are legal, we have one

*posted on February 26, 2019* -
## Math

As = (h*W)2 + (L*W)2 + (L*h)2. As = (8*14)2 + (10*14)2 + (10*8)2 =

*posted on February 26, 2019* -
## Math

N25E. = 25o E. of N. opposite = S25W. = 25o W. of S.

*posted on February 26, 2019* -
## math

cost = $X before tax and tip. x + 0.08x + 0.2(x+0.08x) = 54.32. 1.08x + 0.216x = 54.32, X = $41.91. The answer is D.

*posted on February 26, 2019* -
## math

(8, 3), (x, y), m = 5. m = (y-3)/(x-8) = 5. cross-multiply: y-3 = 5(x-8).

*posted on February 26, 2019* -
## Math

50km/4Liters = 12.5 km/Liter. d = 12.5km/Liter * 20Liters =

*posted on February 25, 2019* -
## Math

Y = -3x^2 + 12x + 15. Vertex form: Y = a(x-h)^2 + k. a = -3. h = -B/2A = -12/-6 = 2. k = -3*2^2 + 12*2 + 15 = 27.

*posted on February 25, 2019* -
## Algebra 2

(0, 3), m = 4. Y = mx + b. 3 = 4*0 + b, b = 3. Eq: Y = 4x + 3.

*posted on February 25, 2019* -
## Algebra 2

(4, 5), m = 2. Y = mx + b. 5 = 2*4 + b, b = -3. Eq: Y = 2x - 3.

*posted on February 25, 2019* -
## Algebra 2

(4, 5), m = -1/2. Y = mx + b. 5 = (-1/2)4 + b, b = 7. Eq: Y = (-1/2)x + 7.

*posted on February 25, 2019* -
## Algebra 2

F(x)-g(x) = x^2 + 2x - 6 - (x + 5) = x^2 + x - 11. Use Quad. Formula: X = 2.85, and -3.85.

*posted on February 25, 2019* -
## Math

Correction: a. d = -99 - 14i = 100 km. b. A = 82o W. of S. = 262o CW from +y-axis.

*posted on February 24, 2019* -
## maths

a. d = 80km[225] - 60km[135o]. X = 80*sin225 - 60*sin135 = -99 km. Y = 80*Cos225 - 60*Cos135 = -14 km. d = sqrt(X^2 + Y^2) = 100 km. b. Tan A = X/Y. A = 82o W of S. = 262o CW from +y-axis(bearing).

*posted on February 24, 2019* -
## Algebra

29*180/6 = 870o = 150o CCW. sin150 = sin30 = 1/2.

*posted on February 23, 2019* -
## Algebra

Correction: disregard my response to part b; I agree with bob' s answer.

*posted on February 23, 2019* -
## Algebra

a. Growth factor = 100% + 23% = 123% = 1.23. Bacteria = 180 *1.23^8 = 943. b. Value = 226,000 - 0.03*226,000*5 = $192,100.

*posted on February 23, 2019* -
## Math

D = M/V = M/L*W*h. D = 1050/LW*0.2 = 8.4 5,250/LW = 8.4, LW = 625 cm^2. L = W = sqrt(625) = 25 cm. 62

*posted on February 23, 2019* -
## math

r = 245/3.5 = km/h. t = 90min. = 1.5 h. d = r * t =

*posted on February 23, 2019* -
## math

a. d = 21[32] + 45[287]. X = 21*sin32 + 45*sin287 = -31.9km. Y = 21*Cos32 + 45*Cos287 = 30.97km. d = sqrt(X^2 + Y^2) = 44.46 km. b. Tan A = X/Y A = -45.8o = 314.2o CW from +y axis.

*posted on February 23, 2019* -
## Algebra

Yes, that is correct.

*posted on February 22, 2019*