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Vladimir [108]
3 years ago
10

Write the equation of the line the that is parallel to 21x-7y=12 and goes through the point (1, -3).

Mathematics
1 answer:
ANEK [815]3 years ago
7 0
Work:
21x-7y=12
-7y=12-21x
y= -12/7+3x

Point: (1,-3)

y-y1=m (x-x1)
y+3= -12/7 (x-1)
y+3= -12/7x + 12/7
y= -12/7x -9/7

The equation is y= -12/7x- 9/7

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If x= -5+6i and y= 3-2x, then which of the following is the value of the expression 4x-y
Verizon [17]

y=3-2x\\\\4x-y=4x-(3-2x)=4x-3+2x=6x-3\\\\\text{Put}\ x=-5+6i\ \text{to the expression}\ 6x-3:\\\\6(-5+6i)-3\qquad\text{use distributive property}\\\\=(6)(-5)+(6)(6i)\\\\=-30+36i\\\\Answer:\ \boxed{4x-y=-30+36i}

6 0
3 years ago
To rent a certain meeting room, a college charges a reservation fee of $15 and an additional fee of $6 per hour. The chemistry c
Dafna1 [17]

Answer:

To spend at most $93, they need to rent the room less than or equal 13 hours.

Step-by-step explanation:

<u><em>The complete question is</em></u>

To rent a certain meeting room, a college charges a reservation fee of $15 and an additional fee of $6 per hour. The chemistry club wants to spend at most $93 on renting a room. What are the possible numbers of hours the chemistry club could rent the meeting room? Use t for the number of hours. Write your answer as an inequality solved for t,

Let

t ----> the number of hours

we know that

I this problem the word "at most" means "less than or equal to"

The number of hours rented multiplied by the cost per hour, plus the reservation fee, must be less than or equal to $93

so

The inequality that represent this situation is

6t+15\leq 93

solve for t

subtract 15 both sides

6t\leq 93-15

6t\leq 78

Divide by 6 both sides

t\leq 13\ hours

therefore

To spend at most $93, they need to rent the room less than or equal 13 hours.

6 0
3 years ago
Find 1 rational number between -2/9 and 0
sergey [27]

Answer:

Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.

8 0
2 years ago
A television weighs 50 pounds and a microwave
Ilia_Sergeevich [38]

Answer:

Step-50*t + 30*m = 1500,   (1)   (pounds)

4*t +  3*m = 138.    (2)   (cubic feet)

From (2), express 3m = 138 - 4t, and substitute it into (1). You will get

50t + 10*(138-4t) = 1500,  or

10t = 1500 - 1380  --->  10t = 1120  --->  t = 112 TVs.

From this point, find the number of microwaves on your own.

step by-step explanation:

3 0
3 years ago
Write the equation of the line that includes the point (1,5) and has a slope of 3 in standard form.
Ymorist [56]

Answer:

-3x + y = 2

Step-by-step explanation:

The slope is 3. So the coefficient of x is 3.

when x = 1, y = 5.

So 3*1 + c = 5

So c is 2.

So y = 3x + 2

Therefore, taking 3x to the LHS, we get,

-3x + y = 2

Hope it helps ;)

7 0
3 years ago
Read 2 more answers
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