Answer:
Step-by-step explanation:
Triangle ABC: 30^2 + 40^2 = 50^2 is a true statement, so by the Pythagorean theorem, this is a right triangle.
Triangle XYZ: 1^2 + 1^2 = 2^2 is a false statement, so by the Pythagorean theorem, this is not a right triangle.
Triangle EFG: 8^2 + 15^2 = 17^2 is a true statement, so by the Pythagorean theorem, this is a right triangle.
Y = 1/3x + 3....slope is 1/3. A parallel line will have the same slope.
y = mx + b
slope(m) = 1/3
(2,0)...x = 2 and y = 0
now we sub and find b, the y int
0 = 1/3(2) + b
0 = 2/3 + b
-2/3 = b
so ur parallel equation is : y = 1/3x - 2/3
Answer:
n = 23
x = 17
p = 0.50
Step-by-step explanation:
For a binomial experiment we have the following variables:
<u>1) Number of trials or Sample size:</u>
The number of trials is represented by n. In the given scenario 23 adults were asked about their favorite pizza, so the number of trials in this will be 23. Thus
n = 23
<u>2) Number of success</u>
The number of success is denoted by x. Number of success indicates that how many trials resulted in the favorable outcome. In the given case, choosing a sausage pizza is a success. Since 17 adults chose the sausage, so
x = 17
<u>3) Probability of success on single trial</u>
This is represented by p. It is stated that 50% adults say sausage is their favorite pizza. So,
p = 50% = 0.50
Answer:
a)The sunglasses hit the ground at t=0 seconds
b)The maximum height h(t) = 1600feet
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the polynomial function
h(t) = -16 t² + 1600 ...(i)
Differentiating equation (i) with respective to 't' , we get
Equating zero
⇒ -32t =0
⇒ t =0
The sunglasses hit the ground at t=0 seconds
<u><em>Step(ii):-</em></u>
Again differentiating with respective to 't', we get
The maximum height at t=0
h(t) = -16 t² + 1600
h(t) = 1600feet
Answer:
-9 <= x <= 7
Step-by-step explanation:
Domain is the x, or independent variable. you just need to find how far x goes. First, you go to the veeery left and then go to the veeeery right of the plotted graph. Those 2 numbers are your domain.
