________ defines how much the portion is of the base

Mathematics

2 answers:

zysi [14]2 years ago

6 0

The rate defines how much the portion is of the base.

GenaCL600 [577]2 years ago

3 0

Answer:

The rate defines how much the portion is of the base.

Step-by-step explanation:

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Draw an angle in standard position whose terminal side contains the point

kvasek [131]

Answer:

The distance of the point from the origin = 9.29 units.

Step-by-step explanation:

Given point:

(7,-6)

The angle lies such that the terminal side of the angle contains the given point.

To draw the angle and find the distance from the origin to the given point.

Solution:

The terminal side of the angle is where the angle ends with the initial side being the positive side of the x-axis.

So, we can plot the point (7,-6) by moving 7 units on the x-axis horizontally and -6 units on the y-axis vertically.

We can find the distance of the point from the origin by find the hypotenuse of the triangle formed.

Applying Pythagorean theorem.

$Hypotenuse^2=Shorter\ Leg^2+Shortest\ Leg^2$

$Hypotenuse^2 = (7)^2+(-6)^2$

$Hypotenuse^2=49+36\\Hypotenuse^2=85$

Taking square root both sides :

$\sqrt{Hypotenuse^2}=\sqrt{85}$

$Hypotenuse = 9.29\ units$

Thus, the distance of the point from the origin = 9.29 units.

The figure is shown below.

5 0

3 years ago

Solve the compound inequality 4x – 7 > 5 or 5x + 4 ≤ –6

bija089 [108]

Answer:

inequality form: x $\leq$ -2 or x > 3

interval notation form: (-∞,-2] ∪ (3,∞)

Step-by-step explanation:

I attached a picture that shows all the work. You begin by isolating then solving for x on both sides. Then form a solution using the information found out about x. For example, you can combine the found inequalities for x to solve that x must be GREATER than 3 while being LESS than -2. Using that you can form an line and make a line. Remember, when writing in interval notation form you always begin from the left to the right (in reference) to the number line.