Is x=-1.8 vertical, horizontal, or neither

The lengths of two sides of a triangle are 5 inches and 16 inches find the range of possible lengths for the third side

Gnoma [55]

Ok well you would use pathagorean there so A2+B2=C2

7 0

3 years ago

Oliver and Lenny started hiking a hill simultaneously from the bottom to the top. Oliver hiked at a speed of 5 km/h during the f

Papessa [141]

Answer:

Oliver and Lenny reached the top of the hill at the same time

The proportion of time Oliver spent hiking to that of Lenny is 1:1

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Oliver's speed = 5 km/h during the first half, then decreased his speed to 4 km/h during the second half.

Lenny's speed = 4 km/h during the first half, then increased his speed to 5 km/h in the second half.

2. Who reached the top of the hill first? What is the proportion of time he spent hiking to that of his friend?

Let's assume the distance from the bottom to the top of the hill is 10 kilometers for calculating the time it will take Oliver and Lenny to reach the top of the hill:

Speed = Distance/Time

Time = Distance/Speed

Oliver = Time of hiking first 5 km + Time of hiking second 5 km

Lenny = Time of hiking first 5 km + Time of hiking second 5 km

Oliver = 5/5 + 5/4

Oliver = 1 + 5/4 = 2 1/4 hours

Lenny = 5/4 + 5/5

Lenny = 5/4 + 1 = 2 1/4 hours

Oliver and Lenny reached the top of the hill at the same time

The proportion of time Oliver spent hiking to that of Lenny is 1:1

3 0

3 years ago

The ordered pairs in the table represent a linear function.

Illusion [34]

Answer:

If x = 7 y = 20

Step-by-step explanation:

As the x goes up by 1 you see that the y goes up by 2.

y = 2x + 6

Using that equation gets you your y

y = 2(7) + 6

y = 14 + 6

y = 20

6 0

3 years ago

What is the frequency of the sinusoidal graph ?

disa [49]

Answer:

The frequency of the given sinusoidal graph is 4.

Step-by-step explanation:

The frequency of a sinusoidal graph is the number of cycles it completes in the interval 0 to 2π radians.

From the given sinusoidal graph it is noticed that the the graph complete its one cycle in the interval 0 to $\frac{\pi}{2}$ .

If the complete its one cycle in $\frac{\pi}{2}$ , then the number of cycles completed by the graph in the inteval 0 to 2π is

$\frac{\pi}{2}\times frequency=2\pi$

$frequency=2\pi \times \frac{2}{\pi}$

$frequency=4$

Therefore the frequency of the given sinusoidal graph is 4.

7 0

3 years ago

Write the general polynomial p(x) if its only zeros are 1 4 and -3 with multiplicites 3 2 and 1 respectively what is the degree

kompoz [17]

Answer:

The 6th degree polynomial is $p(x) = (x-1)^3(x-4)^2(x+3)$

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots $x_{1}, x_{2}, x_{n}$ such that it can be written as: $a(x - x_{1})*(x - x_{2})*...*(x-x_n)$ , in which a is the leading coefficient.