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Oliga [24]
2 years ago
5

A line passes through the point (12,–4) and is perpendicular to the line with the equation y = 6x + 3. What's the equation of th

e line?
Mathematics
1 answer:
Alex_Xolod [135]2 years ago
3 0

I'm just gonna so you how I got it

Step-by-step explanation:

6x - 3y - 5 = 0 has slope 6/3 = 2. A perpendicular line will have slope -1/2 (since slopes of two perpendicular lines must have a product of -1), so its general form will be 3x + 6y - a = 0.

Now to find a. We know a point on the line, (4,10), and so we plug those coordinates in:

3*4 + 6*10 - a = 0

12 + 60 - a = 0

72 = a

3x + 6y - 72 = 0.

We can simplify this by dividing all numbers by 3, getting:

x + 2y - 24 = 0

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Which of the following statements best describes the value of the expression 6x + 7 when x = 5?
Tanzania [10]

Answer:

? is there a option?

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
there are two sizes of red and blue marbles in a box. Of the big marbles in the box, 45 are red and 3/4 are blue. The fraction o
nikklg [1K]
Big marbles = 45red 3/4 blue
Small marbles = 2/5 red    3/5 blue    24 more small blue mabrles than red marbles
What percentage of the marbles are big marbles

First of all lets working out the missing values: 
Big Marbles, 45 red, 3/4 blue. If 45 red is 1/4, then 135 (45*3) is 3/4.
Big Marbles, 45 red, 135 blue = 180 in total

For the small marbles, we do some logical thinking:
If red is 2/5, and blue is 3/5. And blue has 24 more than red.
That means 24 = 1/5
So in total there are 120 small marbles (24*5)
There are 180 big marbles 
We add these together, 120 + 180 = 300 marbles
180 / 300 = 0.6 = 60%
^ Divide the big marbles by the number of total marbles

60% of the marbles are big marbles

<u>Please vote my answer brainliest if I helped!</u>
3 0
3 years ago
Find the slope of the line passing through the points (-9, -6) and (-4, 5)
Masja [62]

Answer:

11/5 slope

Step-by-step explanation:

5-(-6) -4-(-9)

11/ 5

4 0
3 years ago
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Which algebraic expression is equivalent to the expression below? 6(4x + 5) + 11
Alina [70]

Answer:

24x + 41

Step-by-step explanation:

Distribute the 6.

6(4x + 5) + 11 = 24x + 30 + 11

Now we just add the 30 and the 11 which are at the back of the expression.

24x + 30 + 11 = 24x + 41

Therefore the answer is 24x + 41. Please mark brainliest if possible and i hope you get a good grade on your homework

3 0
2 years ago
The owner of the Koffee Shop pours the remainder of her old house blend, which is 40 % 40 % Colombian beans, into a 60 60 -pound
maks197457 [2]

Answer:

0.4h ; 60 - h ;18 - 0.3h ; 0.1h + 18

Step-by-step explanation:

Given that:

Old house blend = 40% Columbian beans

New house blend = 30% Columbian beans

h = number of pounds of old house blend

a.) pound of columbian bean in old house blend :

40% of h = 0.4h

b.) pound of new blend poured into the bean:

Size of bin = 60 pound

Size of bin - pound of old house blend

(60 - h)

c. Amount of columbian bean in pound of new house blend :

30% of (60 - h)

0.3 * (60 - h)

18 - 0.3h

D.) Amount of columbian bean in 60 pound bin

(Pound of columbian bean in old house blend + pound of Columbian bean in New house blend)

0.4h + (18 - 0.3h)

0.4h + 18 - 0.3h

0.1h + 18

4 0
3 years ago
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