What is the value of r for 19 and 20?

Mathematics

1 answer:

nata0808 [166]3 years ago

4 0

Answer:

19.) r = -4 20.) r = 1

Step-by-step explanation:

19.) Because we know the slope and have some points, we can use point-slope form to find the equation.

Point-slope form is:

y - y1 = m(x - x1)

Substitute the numbers into the equation:

y - 3 = 7/6(x - 1)

y - 3 = 7/6x -7/6

y = 7/6x + 11/6

Now that we know the equation, we can put in the x value to find the y (In this case, y = r):

r = 7/6(-5) + 11/6

r = -35/6 + 11/6

r = -4

20.) Because the slope is undefined, that means on the graph, the line will appear straight and vertical. This means the equation will be something like x = a number.

We have the point (1,4). Since we know that the x value will never change, we know that r will have to equal 1 as well.

r = 1

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Need help. i dont understand this!!!

Ilia_Sergeevich [38]

By the quadratic formula, the solution set of the quadratic equation is formed by two real roots: x₁ = 0 and x₂ = - 12.

<h3>How to find the solution of quadratic equation</h3>

Herein we have a quadratic equation of the form a · m² + b · m + c = 0, whose solution set can be determined by the quadratic formula:

x = - [b / (2 · a)] ± [1 / (2 · a)] · √(b² - 4 · a · c) (1)

If we know that a = - 1, b = 12 and c = 0, then the solution set of the quadratic equation is:

x = - [12 / [2 · (- 1)]] ± [1 / [2 · (- 1)]] · √[12² - 4 · (- 1) · 0]

x = - 6 ± (1 / 2) · 12

x = - 6 ± 6

Then, by the quadratic formula, the solution set of the quadratic equation is formed by two real roots: x₁ = 0 and x₂ = - 12.

To learn more on quadratic equations: brainly.com/question/1863222

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7 0

2 years ago

Which of the following are equations for the line shown below? Check all that apply.

Nuetrik [128]

Answer: D. $y+4=(x+2)$

Step-by-step explanation: Once you subtract $4$ from both sides, in order to solve for y (as the equation needs to be in the slope-intercept form, otherwise known as $y=mx+b$ ), you end up with $y=x-2$ , which is the right answer. It is the correct answer because the y-intecept shown in the equation matches what is on the graph, in addition to the fact that the slope is just $x$ .