If NP= 9 and MP = 15, What is the length of OP

aleksley [76]

Y= - x + 2 - 4
y = - x - 2
-y = x + 2

8 0

3 years ago

The height of an object t seconds after it is thrown from a height of h feet is modelled by the equation h(t) = -16t^2 + vt + h.

prisoha [69]

Answer:

At 0.713 second the ball will hit the ground

Step-by-step explanation:

The height of an object t seconds after it is thrown from a height of h feet is modeled by the equation:

$h(t) = -16t^2 + vt + h$

The ball is thrown from a point 6 feet above ground with an initial velocity, v, of 30 feet per second, equation becomes:

$h(t) = -16t^2 + 3t + 6$

It is required to find the time when the ball hits the ground. At that point, h(t) =0.

So,

$-16t^2 + 3t + 6=0$

Above is a quadratic equation, the value of time is given by :

t = -0.526 s and t = 0.713 seconds

So, at 0.713 second the ball will hit the ground.

4 0

3 years ago

How do you solve this

Rainbow [258]

Answer: y+5 divided by 2

Step-by-step explanation:

add 5 to each side and then divide each side by 2

6 0

3 years ago

Read 2 more answers

Delta makes 12-volt car batteries. These batteries are known to be normally

blondinia [14]

Answer:

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

Step-by-step explanation:

Step(i):-

Given that the sample size n =12 -volt car batteries

Let 'X' be a Random variable in a normal distribution

Given that mean of the normal distribution = 45 months

Given that the Standard deviation of the normal distribution = 8months

Step(ii):-

Let X₁ = 3 years = 12 × 3 = 36 months

$Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125$

Let X₂ = 4 years = 12 × 4 = 48 months

$Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375$

Step(iii):-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = P(-1.125≤Z≤0.375)

= P(Z≤0.375) - P(Z≤-1.125)

= 0.5 +A(0.375) - (0.5-A(1.125)

= 0.5 + 0.1480 - (0.5 -0.3708)

= 0.1480 + 0.3708

= 0.5188

Final answer:-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

5 0

3 years ago

14. Find the coordinates of the circumcenter for ∆DEF with coordinates D(1,1) E (7,1) and F(1,5). Show your work.

dimulka [17.4K]

The centroid C divides the length of each median PY, ZQ, and XR into the ratio of 2:1 as shown in the diagram below

a) CY = 10
PC = 2×10 = 20
PY = 20+10 = 30

b) QC =10
ZC = 10÷2 = 5
ZQ = 10+5 = 15

c) PX = 20
PQ = 2×20 = 40

4 0

4 years ago