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3 years ago

Y 2 + 5y Choose the constant term that completes the perfect square trinomial.

1 answer:

7 0

Given: y²+5y
Converting y²+5y in the form: x²+2ax+a²
Here 2a=5 or a=5/2
Add and subtract (5/2)²
y²+5y+(5/2)²-(5/2)²
Complete the square.
(y+5/2)²-(5/2)²
Simplify
(y+5/2)² - 25/4

Answer: (y+5/2)² - 25/4

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State the converse, contrapositive, and inverse of each of these conditional statements a) If it snows tonight, then I will stay

marissa [1.9K]

Step-by-step explanation:

Consider the provided information.

For the condition statement $p \rightarrow q$ or equivalent "If p then q"

The rule for Converse is: Interchange the two statements.
The rule for Inverse is: Negative both statements.
The rule for Contrapositive is: Negative both statements and interchange them.

Part (A) If it snows tonight, then I will stay at home.

Here p is If it snows tonight, and q is I will stay at home.

Converse: If I will stay at home then it snows tonight.

$q \rightarrow p$

Inverse: If it doesn't snows tonight, then I will not stay at home.

$\sim p \rightarrow \sim q$

Contrapositive: If I will not stay at home then it doesn't snows tonight.

$\sim q \rightarrow \sim p$

Part (B) I go to the beach whenever it is a sunny summer day.

Here p is I go to the beach, and q is it is a sunny summer day.

Converse: It is a sunny summer day whenever I go to the beach.

$q \rightarrow p$

Inverse: I don't go to the beach whenever it is not a sunny summer day.

$\sim p \rightarrow \sim q$

Contrapositive: It is not a sunny summer day whenever I don't go to the beach.

$\sim q \rightarrow \sim p$

Part (C) When I stay up late, it is necessary that I sleep until noon.

P is I sleep until noon and q is I stay up late.

Converse: If I sleep until noon, then it is necessary that i stay up late.

$q \rightarrow p$

Inverse: When I don't stay up late, it is necessary that I don't sleep until noon.

$\sim p \rightarrow \sim q$

Contrapositive: If I don't sleep until noon, then it is not necessary that i stay up late.

$\sim q \rightarrow \sim p$

7 0

3 years ago

Please help me somebody!!! I really struggle with this in math class!

Tresset [83]

Answer:

$y - 9 = -\frac{4}{3}(x - 3)$

Step-by-step explanation:

Given the points (3, 9) and (9, 1), we must first solve for the slope of the line before proceeding with writing the point-slope form.

In order to solve for the slope (<em>m </em>), use the following formula:

m = (y₂ - y₁)/(x₂ - x₁)

Let (x₁, y₁) = (3, 9)

(x₂, y₂) = (9, 1)

Substitute these values into the given formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (1 - 9)/(9 - 3)

$m = \frac{-8}{6} = \frac{-4}{3}$

Therefore, the slope of the line, m = -4/3.

Next, using the slope, m = -4/3, and one of the given points, (x₁, y₁) = (3, 9), substitute these values into the following point-slope form:

y - y₁ = m(x - x₁)

$y - 9 = -\frac{4}{3}(x - 3)$ ⇒ This is the <u>point-slope form</u>.

4 0

2 years ago

Answer this quickly please!

rodikova [14]

Answer:

$\bar v = 60\,mph$

Step-by-step explanation:

The distance travelled by Lisa in the first four hours of her trip is:

$\Delta s = \left(50\,mph)\cdot (4\,h)$

$\Delta s = 200\,mi$

The distance remaining and her average speed are, respectively:

$\Delta s_{R} = 440\,mi - 200\,mi$

$\Delta s_{R} = 240\,mi$

$\bar v = \frac{240\,mi}{4\,h}$

$\bar v = 60\,mph$

3 0

3 years ago

List the next four multiples of 3/5

zlopas [31]

What is the rule? Then i will know how to it

6 0

3 years ago

Plz help ASAP thxs."..

Sliva [168]

Answer:

Step-by-step explanation:

7 0

3 years ago

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