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3 years ago

What is the slope of the line that contains the points (4, -1) and (-1, 4)?

Mathematics

1 answer:

bija089 [108]3 years ago

4 0

Answer:

slope = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (- 1, 4)

m = $\frac{4+1}{-1-4}$ = $\frac{5}{-5}$ = - 1

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lidiya [134]

Answer:

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Step-by-step explanation:

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3 years ago

What is the answer to 16> 1.5 + 0.8b

user100 [1]

Answer:

16>2.3b

Step-by-step explanation:

1.5+0.8=2.3

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3 years ago

Find and simplify the quotient 2/3 divided by 8/9

Anuta_ua [19.1K]

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3 years ago

Write a quadratic function to model the vertical motion for each situation, given h(t) equals negative 16t squared plus v0t+h0

Mashcka [7]

Answer:

hmax = 194 ft

The maximum height is 194 ft

Step-by-step explanation:

According to the given equation for the model of the vertical motion. The height at any point in time can be written as;

h(t) = -16t^2 + v0t + h0 .......1

Where;

h(t) = height at time t

t = time

v0 = initial velocity = 96 ft/s

h0 = initial height = 50 ft

To determine the maximum height we need to differentiate the equation 1 to find the time at which it reaches maximum height;

At the highest point/height h' = dh/dt = 0

h'(t) = -32t +v0 = 0

-32t + v0 = 0

t = v0/32

t = 96/32

t = 3 s

At t=3 it is at maximum height.

The maximum height can be derived from equation 1;

Substituting the values of t,v0,h0 into equation 1;

h(t) = -16t^2 + v0t + h0 .......1

hmax = -16(3)^2 + 96(3) + 50 = 194 ft

hmax = 194 ft

The maximum height is 194 ft

5 0

3 years ago

The contrapositive of p q is:

Kay [80]

Some symbols are missing. I'm assuming you meant to put in a horseshoe symbol like so $p \supset q$

If so, then the contrapositive of that would be $\sim q \supset \ \sim p$ which is the final answer.

The tilde sign $\sim$ means "not" so writing $\sim q$ means "not q" which is the complete opposite of q.

6 0

3 years ago