The perpendicular line will have an equation of y=3/4x-3/4
To find this, we first have to solve our equation for slope intercept form.
8x + 6y = -5 ----> subtract 8x
6y = -8x + -5 ----> divide by 6
y = -4/3x - 5/6.
So we know the slope of this equation to be -4/3. Since perpendicular lines have opposite and reciprocal slopes, we know we can simply flip the fraction and make it a negative to get the new slope of 3/4. Since B is the only option with that slope, we know it to be the correct answer.
Answer:
The slope is
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
we have
Substitute the values
Answer:
To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image.
Step-by-step explanation:
Answer:
- <em>D. The game is not fair because the probability of Hal drawing a winning letter is less then the probability of Renee drawing a winning letter </em>
Explanation:
The word is not probably, which has 8 letters, but probability, which has 11 letters
<u>1. Hal</u>
Probability of drawing a vowel
- The vowels are: o, a, i, i, and y: 5
- The total number of letters in the bag is 11.
- Probability of vowel = 5 / 11
<u>2. Renee</u>
Probability of drawing a consonant
- The consonants are: p, r, b, b, l, t, and y: 7
- Probability of a drawing a consonant: 7 /11
<h2>Conclusion</h2>
As you see, the probability of drawing a vowel (5/11), which is the winning letter for Hal, is less than the probability of drawing a consonant (7/11), which is the winning letter of Renee. Then,
- The game is not fair because the probability of Hal drawing a winning letter is less then the probability of Renee drawing a winning letter.