Need help with operations with polynomials!!!!

(1) What is the equation, in point-slope form, for a line that goes through (8, −4) and has a slope of negative 5/6 (all fractio

Andreyy89

Formula for point-slope: $y - y1 = m(x-x1)$
Plug in the values (1): $y + 4 = -\frac{5}{6} (x - 8)$ {Choice B}
Plug in the values (2): $y + 6 = \frac{1}{3}(x+ 2)$ {Choice C}
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[For (3) and (4) we need to solve for slope]

(3)
First, solve for slope.
Formula for slope: $\frac{y2-y1}{x2-x1}$
Plug in values: $\frac{-1-5}{-4-7} = - \frac{6}{11}$
Slope: $- \frac{6}{11}$
Second, we must plug into point-slope form.
Formula for point-slope: $y - y1 = m(x-x1)$
Plug in the values: $y + 1 = - \frac{6}{11}(x + 4)$ {Choice C}

(4)
First, solve for slope.
Formula for slope: $\frac{y2-y1}{x2-x1}$
Plug in values: $\frac{6-(-8)}{-4-7} = - \frac{14}{11}$
Slope: $- \frac{14}{11}$
Second, we must plug into point-slope form.
Formula for point-slope: $y - y1 = m(x-x1)$
Plug in the values: $y - 6 = - \frac{14}{11}(x + 4)$ {Choice D}

8 0

3 years ago

Read 2 more answers

Find the probability of throwing a sum of 10 at least 7 times in 9 throws of a pair of fair dice

Elenna [48]

Answer:

19.308

Step-by-step explanation:

3 0

2 years ago

Write the equation of a line that is perpendicular to the given line and that passes through the given point. y-4=5/2(x+3);(-3,4

Shkiper50 [21]

Y - 4 = 5/2(x + 3)....slope here is 5/2. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So our perpendicular line will have a slope of -2/5 (see how I flipped the slope and changed the sign)

I am not sure what form u need this in...so I will write a few...

point-slope form :
y - y1 = m(x - x1)
slope(m) = -2/5
(-3,4)....x1 = -3 and y1 = 4
now we sub
y - 4 = -2/5(x - (-3) =
y - 4 = -2/5(x + 3) <== point slope form

y - 4 = -2/5(x + 3)
y = -2/5x - 6/5 + 4
y = -2/5x - 6/5 + 20/5
y = -2/5x + 14/5 <== slope intercept form

y = -2/5x + 14/5
2/5x + y = 14/5...multiply by 5
2x + 5y = 14 <== standard form

4 0

3 years ago

Which equation is equivalent to 3/4=2x-1/2y+4

lyudmila [28]

Answer:

option a and d

Step-by-step explanation:

$\frac{3}{4} = \frac{2x - 1}{2y + 4} \\ 3(2y + 4) = 4(2x - 1) \\ 6y + 12 = 8x - 4 \\ now \\ 6y = 8x - 4 - 12 \\ 6y = 8x - 16 \\ y = \frac{8x - 16}{6} \\ y = \frac{8x}{6} - \frac{16}{6} \\ y = \frac{4x}{3} - \frac{8}{3} \\ y = \frac{4}{3} x - \frac{8}{3} \\a nd \\ \\ 6y + 12 = 8x - 4 \\ 6y + 12 + 4 = 8x \\ 6y + 16 = 8x \\ \frac{6y + 16}{8} = x \\ \frac{6y}{8} + \frac{16}{8} = x \\ \frac{3y}{4} + 2 = x \\ x = \frac{3}{4} y + 2$

6 0

3 years ago

Maria, Hans, and Dan have a total of $95 in their wallets. Dan has 3 times what Hans has. Hans has $10 more than Maria. How much

mr Goodwill [35]

It looks like everyone's amount of money is based on Maria's amount of money. Let's say Maria is M, Hans is H and Dan is D. Maria has M amount of money. If Hans has 10 more than Maria, he has M+10. If Dan has 3 times what Hans has and Hans has (M+10), then Dan has 3(M+10) which is 3M+30. Altogether they have 95 dollars. So we will add up what they have and set it equal to 95. M+10+M+30+3M=95. That simplifies to 5M+40=95 and 5M=55. Therefore, Maria has 11 dollars. Hans has 10+11=21, and Dan has 3(21)=63. 11+21+63=95

5 0

4 years ago