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Gennadij [26K]
4 years ago
6

Use slopes to determine if the lines y= -x/3- 9 and 6x – 2y = -5 are perpendicular.

Mathematics
1 answer:
WARRIOR [948]4 years ago
8 0

Answer:

They are perpendicular.

Step-by-step explanation:

When we convert the equation 6x-2y=-5 into y=mx+b form, it changes into y=3x-5/2. Since we know that perpendicular slopes are opposite reciprocal, the opposite reciprocal of -x/3 is 3. So, we know that these 2 slopes are perpendicular.

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Which is the graph of y = ⌊x⌋ – 2?
Alexandra [31]

Answer:

The third graph

Step-by-step explanation:

The Greatest Integer function (also called "floor" function. is in fact the one depicted on your first graph on the left. It indicates the integer part of the real number x.

So, if one translates such function two units down , as requested by the subtraction of 2 of the function y the problem shows, one ends up with the third graph depicted on the page.

5 0
3 years ago
I NEED MEGA HELP WITH THIS QUESTION
katrin2010 [14]

Answer:

C. y =  -  \frac{1}{4} x - 2

Step-by-step explanation:

To find slope using coordinates, use the formula above.

(4, - 3) \: (0, - 2)→ \frac{ - 2 - ( - 3)}{0 - 4}→ \frac{ - 2 + 3}{ - 4} → -  \frac{1}{4}

Now, using the y = mx + b formula, plug in -  \frac{1}{4} as m (slope) and either coordinate as the x and y values. It looks like this:

- 3 =   - \frac{1}{4}(4)  + b

To solve for b, continue to use PEMDAS.

- 3 =   - \frac{1}{4}(4)  + b→ - 3 =  - 1 + b→ - 2 = b

Now use m and b to solve for your equation:

y =  -  \frac{1}{4} x - 2

The answer is C.

4 0
3 years ago
The admission prices for a small fair are $1.50 for children and $4.00 for adults. In one day there was $5050 collected. If we k
aliina [53]

Answer: 475 adults paid admission

Step-by-step explanation:

1.50c+4a=5050 (1.50 per child and 4 per adult)

1.50(2100)+4c=5050 (2100 children times 1.5 each)

3130+4a=5050

4a=1900

a=475

3 0
3 years ago
Solve the equation.<br><br> 89=x+1/3(7)
ser-zykov [4K]
89=x+1/3(7)
89=x+7/3
267/3=x+7/3
260/3=x
86 2/3=x. Hope it help!
7 0
3 years ago
Find the number of real number solutions for the equation. x2 – 18 = 0
madam [21]
x ^ 2 - 18 = 0
 For this case, the first thing you should do is rewrite the expression:
 x ^ 2 - 18 = 0
 x ^ 2 = 18
 The solutions for this case are:
 x1 = root (18)
 x2 = -raiz (18)
 Therefore the answer is:
 2 solutions of real numbers.
 Answer:
 2
6 0
3 years ago
Read 2 more answers
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