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3 years ago

The points (-3, 2) and (9,r) lie on a line with slope 1/2. Find the missing coordinate r.

Mathematics

1 answer:

aleksley [76]3 years ago

6 0

Answer:

8 = r; (9, 8)

Explanation:

-y₁ + y₂\-x₁ + x₂ = m

-2 + r\3 + 9 = ?\12

-2 + r = 6

+2 + 2

__________

r = 8

The reason why the expression has to equal 6 is because 6⁄12 simplifies to ½, and the numerator has to be a six in order to get the rate of change [slope] of ½, so there you have it.

I am joyous to assist you anytime.

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a shed in the shape of a rectangular prism measures x feet high, x + 6.5 feet wide, and is x-4 feet deep. The volume of the shed

Artyom0805 [142]

Answer:

x-9

Step-by-step explanation:

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3 years ago

What is the answer to (P^3)^7=

Annette [7]

Answer:

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3 years ago

Read 2 more answers

2. When Joey dives off a diving board, the equation of his pathway can be modeled by h = -16- + 15 + 12.

Sergeu [11.5K]

Answer:

a) The maximum height is approx 15.5 unit.

b) The time it will take for Joey to reach the water is 1.45 hour.

Step-by-step explanation:

Given : When Joey dives off a diving board, the equation of his pathway can be modeled by $h(t)= -16t^2+15t + 12$

To find : a) Find Joey's maximum height.

b) Find the time it will take for Joey to reach the water.

Solution :

Modeled $h(t)= -16t^2+15t + 12$ ....(1)

a) To find maximum height

Derivate (1) w.r.t. t,

$h'= -32t+15$

For critical point put h'=0,

$-32t+15=0$

$t=\frac{15}{32}$

$t=0.46875$

Derivate again w.r.t. t,

$h''= -32$

It is maximum at t=0.46875.

Substitute t in equation (1),

$h(0.46875)= -16(0.46875)^2+15(0.46875)+12$

$h(0.46875)= -3.515625+7.03125+12$

$h(0.46875)= 15.515625$

The maximum height is approx 15.5 unit.

b) To find the time it will take for Joey to reach the water.

Put h=0 in equation (1),

$-16t^2+15t + 12=0$

Apply quadratic formula, $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Here, a=-16 , b=15, c=12

$t=\frac{-15\pm\sqrt{(15)^2-4(-16)(12)}}{2(-16)}$

$t=\frac{-15\pm\sqrt{225+768}}{-32}$

$t=\frac{-15\pm\sqrt{993}}{-32}$

$t=\frac{-15+\sqrt{993}}{-32},\frac{-15-\sqrt{993}}{-32}$

$t=−0.515,1.453$

Reject negative value.

The time is t=1.45.

The time it will take for Joey to reach the water is 1.45 hour.

5 0

3 years ago

Someone help me out. I’m stuck on this problem

tatuchka [14]

Answer:

1.a and 2.b.

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2 years ago

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NEED HELP 3. Jessica is paid hourly and normally works from 8:00 am to 4:00pm . Her pay for the day is $56. If Jessica works 40

zloy xaker [14]

Jessica will earn e. $301 for working 40 hours in a week plus 2 hours of overtime.

Step-by-step explanation:

Step 1:

Jessica gets paid $56 for working from 8.00 am to 4.00 pm.

So she gets paid $56 for working for 8 hours.

We need to determine how much she gets paid for 1 hour.

Jessica's hourly salary $=\frac{56}{8}.$