The answer is 5/2. The equation is already in point slope form. If you recall, the equation for point slope form is y-y1 = m(x-x1) where y1 and x1 are points on the graph, and m is the slope. In the given equation, m is 5/2 so we know it is the slope.
Alternatively, if you are not familiar with the point slope for equation, you can manipulate the equation to the form of y=mx+b where m is the slope and b is the constant. If you solve for y, you get y=5/2x-1 since 5/2 is in the place of m, we know 5/2 is the slope.

6 0

3 years ago

graph the solutions of the inequality on a number line. Describe the solution to the inequality. p > 4

inysia [295]

Draw out a number line. Make sure 4 is on the number line. At this location, plot an open circle. The open circle indicates "do not include this endpoint as part of the solution set". We shade to the right of this open circle.

Visually this describes all real numbers that are larger than 4.

5 0

3 years ago

Given that

valentina_108 [34]

Answer: x= -3.25

Step-by-step explanation:

R=4x+6y 11=4x+6(4) 11=4x+ 24 11-24=4x -13=4x -13/4=x x=-3.25

11=4(-3.25)+ 6(4) 11= -13+24

6 0

3 years ago

The ratio of the side adjacent am acute angle and the hypotenuse. Adjacent/hypotenuse

diamong [38]

Answer: The answer is cosine of that acute angle.

Step-by-step explanation: We are to find the ratio of the adjacent side of an acute angle to the hypotenuse.

In the attached figure, we draw a right-angled triangle ABC, where ∠ABC is a right angle, and ∠ACB is an acute angle.

Now, side adjacent to ∠ACB is BC, which is the base with respect to this particular angle, and AC is the hypotenuse.

Now, the ratio is given by

$\dfrac{\textup{adjacent side}}{\textup{hypotenuse}}=\dfrac{BC}{AC}=\dfrac{\textup{base}}{\textup{hypotenuse}}=\cos\textup{ of angle }ACB.$

Thus, the ratio is cosine of the acute angle.

7 0

3 years ago