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2 years ago

Suppose we are given the following information.

Mathematics

1 answer:

Minchanka [31]2 years ago

5 0

Since the product of the slope is -1, hence the lines are perpendicular

<h3>Parallel and Perpendicular lines</h3>

Two lines are known to be parallel if they have the same slope while if two lines are perpendicular if the product of the slope is -1

Given the coordinates of line 1 passing through (0, 6) and (6, 4), the slope is given as;

Slope = 4-6/6-0
Slope = -2/6
Slope = -1/3

Similarly for the coordinate points (-1, -7) and (1, -1).

Slope = -1+7/1+1
Slope of line 2 = 6/2

Slope = 3

Take the product of the slopes

Slope = -1/3 * 3
slope = -1

Since the product of the slope is -1, hence the lines are perpendicular

Learn more on parallel and perpendicular lines here: brainly.com/question/25429151

#SPJ1

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Evaluate 11.5x + 10.7y when x = 3 and y = 4

adoni [48]

Answer: 77.3

Step-by-step explanation:

11.5(3)+10.7(4)

11.5 times 3 equals 34.5

and 10.7 times 4 equals 42.8

34.5 plus 42.8 equals 77.3

7 0

3 years ago

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What is the domain and the range of (1,-1), (2, -3), (0,5), (-1,3), (4,-5), (-1,5), (4,-4)} ?

padilas [110]

Answer:

Domain: {-1, 0, 1, 2, 4}

Range: {-5, -4, -3, -1, 3, 5}

Step-by-step explanation:

The domain is all the x values.

The range is all of the y values.

6 0

3 years ago

Whats the gamble formula

Juli2301 [7.4K]

$\quad\quad\quad\quad\huge\tt{Answer \: ☕}$

┈──────────────────────────┈

<h3>The formula looks like this: </h3>

(Probability of Winning) x (Amount Won per Bet) – (Probability of Winning) x

(Amount Won per Bet) – (Probability of Losing) x (Amount Lost per Bet).

So, in our example we would plug in these variables, a 50% chance of winning, winning $6, a 50% chance of losing, and $5 lost.

<h3>The formula for expected value = </h3>

(fair win probability) x (profit if win) - (fair loss probability) x (stake).

This is the formula in the OddsJam sports betting expected value calculator.

$\LARGE \tt{Example: \color{purple}{ Amount \: of \: Win}}$

┈──────────────────────────┈

$\quad\quad\quad \large\tt{Solve \: for \: \color{red}{Amount \: of \: Win}}$

$\quad\quad \quad\quad \large\tt{x = Amount \: of \: Win}$

_ _ _ _ _ _ _ _ _ _ _ _

$\quad\quad\quad \implies\sf{0 = \frac{2}{3} * \times - .50}$

$\quad\quad\quad\implies\tt{0 + .50 = \frac{2}{3}* \times - .50 + .50 }$

$\quad\quad\quad\implies\tt{0 + .50 = \frac{2}{3} * \times + 0}$

$\quad\quad\quad\implies \color{blue}\boxed{ \tt \color{red}{.50 = \frac{2}{3}* \times }}$

_ _ _ _ _ _ _ _ _ _ _ _

Therefore, the amount of win is $\tt{.50 = \frac{2}{3}* \times }$

$\large\tt{From: \: \#Brainly.PH}$

┈──────────────────────────┈

4 0

2 years ago

Solve for x.<br> 3х - 4 = 13

dybincka [34]

$\large\bold{\underline{\underline{ \: x = 5 \frac{2}{3} }}}$

$\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}$

$3x - 4 = 13$

$➺ \: 3x = 13 + 4$

$➺ \: 3x = 17$

$➺ \: x = \frac{ 17}{3}$

$➺ \: x = 5 \frac{2}{3}$

$\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}$

$➺ \: 3x - 4 = 13$

$➺ \: 3 \times 5 \frac{2}{3} - 4 = 13$

$➺ \: 3 \times \frac{17}{3} - 4 = 13$

$➺ \: 17 - 4 = 13$

$➺ \: 13 = 13$

➺ L. H. S. = R. H. S.

Hence verified.

$\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}$

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3 years ago

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Which model represents the factors of x^2 + 9x+8?

grandymaker [24]

Answer:

Step-by-step explanation:

x² + 9x+8 = (x+1)(x+8)

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4 years ago