2x - y = 10 y = -x - 1 Solve the system of equations (3, -4) no solution (9, 8)

Answers

Answer 1
Answer:

Answer:

(3, -4)

Step-by-step explanation:

2x-y=10

y=-x-1

2x-(-x-1)=10

2x+x+1=10

3x=9

x=3

y=-3-1

y=-4

Solution: (3, -4)


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Question is in the picture

SAS

SSA

SSS

not congruent

Answers

SSS is the answer because the parallel sides are congruent and the line that divides the shape is reflexive and makes it congruent to itself...

QU =AD

QD=AU

DU is a common side of the triangles QUD and ADU,

so all three sides of these triangles are congruent, so we need postulate SSS.

Answer is SSS.

In ΔABC, a = 6 inches, m∠A=121° and m∠B=36°. Find the length of b, to the nearest 10th of an inch.

Answers

Answer:4.1

Step-by-step explanation:

Answer: 4.1

Step-by-step explanation:

A water balloon is tossed into the air with an upward velocity of 25 ft/s. Its height h(t) in ft after t seconds is given by the function h(t) = − 16t2 + 25t + 3. Show your work.After how many seconds will the balloon hit the ground? (hint: Use the quadratic formula)


What will the height be at t = 1 second
PLEASE HELP,,STUCK :(

Answers

1) h (t) = -16t^2 + 25t + 3 \n \nh(t) = 0 \n \n 0 = -16t^2 + 25t + 3 \n \n quadratic \ formula \n \n a = -16 \ , \ b = 25 \ , c = 3 \n \n t =  (-25 \pm  √(25^2-4(-16)(3)) )/(2(-16)) \n \n  (-25 \pm  √(625+192) )/(-32) \n \n  (-25 \pm  √(817) )/(-32) \n \n  (-25 \pm 28.5832)/(-32) \n \n t =  (-25 - 28.5832)/(-32) \n \n t =  (-25 + 28.5832)/(-32) \n \n  (53.5832)/(32) \n \n      (53.5832)/(32) \n \n  1.66447

The water ballon will hit the ground after 1.66447 seconds.

--------

2) t = 1 \n \n h(1) = -16(1)^2 + 25(1) + 3 \n \n -16 + 25 + 3 \n \n 12

The height will be 12 feet if t = 1 second.

Final answer:

To find when the balloon hits the ground, set the height function equal to zero and solve using the quadratic formula. The balloon will hit the ground after approximately 1.924 seconds. To find the height at t = 1 second, substitute t = 1 into the height function to get a height of 12 feet.

Explanation:

To find when the water balloon hits the ground, we need to set the height function, h(t), equal to zero and solve for t. In this case, the height function is given by h(t) = -16t^2 + 25t + 3.

Setting h(t) equal to zero, we get:

-16t^2 + 25t + 3 = 0

Using the quadratic formula, t = (-b ± sqrt(b^2 - 4ac)) / (2a), where a = -16, b = 25, and c = 3, we can determine the value of t.

After substituting the values into the quadratic formula and solving for t, we find two values: t ≈ 0.051 seconds and t ≈ 1.924 seconds. Since we are looking for when the balloon hits the ground, we can ignore the first solution and conclude that the balloon will hit the ground after approximately 1.924 seconds.

To find the height at t = 1 second, we can substitute t = 1 into the height function. This gives us:

h(1) = -16(1)^2 + 25(1) + 3 = -16 + 25 + 3 = 12 feet.

Learn more about Quadratic Formula here:

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Jake spent a three-day weekend on the lake. On Saturday, he rented a pontoon boat for three hours and paid $435. On Sunday, he rented the same boat for five hours and it cost him $625. If he rented the same boat on Monday for just two hours, what is the cost for Jake to rent the pontoon boat for the entire three-day weekend?

Answers

Final answer:

The total cost for Jake to rent the pontoon boat for the entire three-day weekend, based on an estimated average hourly rate of $135, was $1330.

Explanation:

Firstly, we need to determine the hourly rate for the pontoon boat rental. We can use the information given for the Saturday and Sunday rentals to calculate this:

  1. Saturday: $435 for 3 hours, or $435 / 3 = $145 per hour
  2. Sunday: $625 for 5 hours, or $625 / 5 = $125 per hour

These two rates are different, so it's possible that a higher rate was charged for shorter rental times. To calculate the average, we add the two rates and divide by 2, giving us an average hourly rate of $135.

Finally, to calculate Jake's total cost for the weekend, we assume that the Monday rental also had the same $135 per hour rate, and multiply this rate by 2 hours. This gives us a Monday cost of $270. Adding this to the Saturday and Sunday costs, Jake's total cost for the three-day weekend was $435 + $625 + $270 = $1330.

Learn more about Cost Calculation here:

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Answer: $1400 for the total 3 days

Step-by-step explanation:

A= (3,435)

B= (5,625)

625-435 190

M= ————— = —— = 95

5-3 2

Y- 435= 95(x-3)

Y - 435= 95x - 285

Y= 95x + 150

95(2) + 150

190 + 150

= $340 for Monday

Finally,

435 + 625 + 340= $1400 for 3 days

Find the particular solution to y ' = 2sin(x) given the general solution is y = C - 2cos(x) and the initial condition y of pi over 2 equals 1 .-2cos(x)
2 - 2cos(x)
1 - 2cos(x)
-2 - 2cos(x)

I think it is option C. Thank you in advance!

Answers

Answer:

1 − 2 cos x

Step-by-step explanation:

y' = 2 sin x

y = C − 2 cos x

1 = C − 2 cos(π/2)

1 = C

y = 1 − 2 cos x

What is the equation of this line graph?A. y = 2x + 1
B. y = 2x + 2
C. y = -2x + 1
D. y = -1x + 1
E. y = -3x + 1

Answers

Answer:

it would be C. y= -2x+1

Step-by-step explanation:

Y= mx+c

the c would be the y- intercept (0,1)

m is the slope the rise/run in this case the line seems to be going down which means there would be a negative sign you move 2 units down and one right the slope would be -2/1 which is -2