All categories

3 years ago

Write the equation of the line that passes through (-5, -1) and (2, -1).

Mathematics

1 answer:

Arlecino [84]3 years ago

6 0

Answer:

y = -1

Step-by-step explanation:

As we move from point (-5, -1)

to point (2, -1), x increases by 7 and y stays the same.

The slope of this line is thus m = [-1 - (-1)] / 7, or just m = 0.

This is a horizontal line. Its equation is y = -1.

You might be interested in

The Hudson Bay tides vary between 3 feet and 9 feet. The tide is at its lowest point when time (t) is 0 and completes a full cyc

BaLLatris [955]

Answer:

$y(t)= 6-3cos(\dfrac{2\pi}{14}t )$

Step-by-step explanation:

The function that could model this periodic phenomenon will be of the form

$y(t) = y_0+Acos(wt)$

The tide varies between 3ft and 9ft, which means its amplitude $A$ is

$A =\dfrac{(9-3)ft}{2} \\\\\boxed{A = 3ft}$

and its midline $y_0$ is

$y_o=3+3 \\\\\boxed{y_o= 6ft}$ .

Furthermore, since at $t=0$ the tide is at its lowest ( 3 feet ), we know that the trigonometric function we must use is $-cos(\omega t)$ .

The period of the full cycle is 14 hours, which means

$\omega t =2\pi$

$\omega (t+14)= 4\pi$

giving us

$\boxed{\omega = \dfrac{2\pi}{14}.}$

With all of the values of the variables in place, the function modeling the situation now becomes

$\boxed{y(t)= 6-3cos(\dfrac{2\pi}{14}t ).}$

8 0

4 years ago

What is the simplified form of the expressions? a. −6a2b−1 b. 5/y−3

Karo-lina-s [1.5K]

Answer:

-6a²/ b

5y³

Step-by-step explanation:

-6a²b⁻¹

-6a²/ b

5/ y⁻³

5 / 1/ y³

5 * y³/1

5y³

8 0

3 years ago

Classify each of the power functions based on their end behavior (increasing or decreasing) as x = ∞

Svetlanka [38]

Answer: right side behavior:

f(x) is Decreasing

g(x) is Increasing

h(x) is Increasing

j(x) is Decreasing

Step-by-step explanation:

The rules for end behavior are based on 2 criteria: Sign of leading coefficient and Degree of polynomial

Sign of leading coefficient (term with greatest exponent):

If sign is positive, then right side is increasing
If sign is negative, then right side is decreasing

Degree of polynomial (greatest exponent of polynomial:

If even, then end behavior is the same from the left and right
If odd, then end behavior is opposite from the left and right

f(x) = -2x²

Sign is negative so right side is decreasing
Degree is even so left side is the same as the right side (decreasing)

as x → +∞, f(x) → +∞ Decreasing

as x → -∞, f(x) → -∞ Decreasing

g(x) = (x + 2)³

Sign is positive so right side is increasing
Degree is odd so left side is opposite of the right side (decreasing)

as x → +∞, f(x) → +∞ Increasing

as x → -∞, f(x) → -∞ Decreasing

$h(x)=-1+x^{\frac{1}{2}}\implies h(x)=x^{\frac{1}{2}}-1$

Sign is positive so right side is increasing
Degree is an even fraction so left side is opposite of the right side as it approaches the y-intercept (-1)

as x → +∞, f(x) → +∞ Increasing

as x → -∞, f(x) → -1 Decreasing to -1

$j(x)=\dfrac{1}{2}(-x)^5\implies j(x)=\dfrac{1}{2}(-1)^5(x)^5\implies j(x)=-\dfrac{1}{2}x^5$

Sign is negative so right side is decreasing
Degree is odd so left side is opposite of the right side (increasing)

as x → +∞, f(x) → +∞ Decreasing

as x → -∞, f(x) → -∞ Increasing

6 0

4 years ago

402 = 2 x 3 x ____ help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Westkost [7]

Answer:

Step-by-step explanation:

2x3=6

402/6=67

2x3x67=402

hope this helped:)

5 0

3 years ago

You are riding your bicycle and it takes you 15 minutes to go 3.5 miles. How fast are you

Semmy [17]

Answer:

14 miles per 1 hour (14m/1hr), I hope this helps :)

7 0

3 years ago