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a_sh-v [17]
3 years ago
15

Determine the equation of a line that is perpendicular to 4y = -3x + 20 and passes through the point (-3, -2)

Mathematics
1 answer:
bezimeni [28]3 years ago
3 0

Change into slope-intercept form:

y= -3/4x + 5

We will be using the point slope formula to write the perpendicular equation:

y - y1 = m (x - x1)

y + 2 = 4/3(x + 3)

y + 2 = 4/3x + 4

y = 4/3x + 2

Answer:

y = 4/3x + 2

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3. Callum rolled a single six sided die 12 times and it landed on a six, three of the times. The probability that it will land o
Margaret [11]

Answer:

1/6

Step-by-step explanation:

Each roll is independent.  So the probability of rolling a six is 1/6, regardless of the previous rolls.

4 0
3 years ago
Why is 10-0=10, but 0/10=0? Please answer.
SIZIF [17.4K]
Because dividing something is different the subtracting for instance if ten has nothing to divide by (or zero) it falls back to the original number which would be ten
6 0
4 years ago
Read 2 more answers
Work out this eaquation
ludmilkaskok [199]

Answer:

l hope this is helpful to you

5 0
3 years ago
the tickets for a benefit concert were $6 for friday night and $8 for Saturday night. the total attendence for the two nights wa
aksik [14]

Answer:

432 people on Friday and 658 on Saturday

Step-by-step explanation:

Lets use variables for each day

x=Friday and y=Saturday

now write two equations since you were given two different information (money and people)

$6 on Friday and $8 on Saturday with a total amount of $7856

the equation will be 6x+8y=7856

now the second equation will be for people

x amount of people on Friday and y amount of people on saturday for a total of 1090; the equation will be

x+y=1090

put them together

6x+8y=7856

x+y=1090

now you can cancel a variable but manipulating one of the equations. We'll use x, to cancel x you need make it zero so multiply the bottom by -6

6x+8y=7856

-6(x+y=1090)

6x+8y=7856                   now subtract downwards, with the x cancelling

-6x-6y=-6540

2y=1316                          simplify

(2y/2)=(1316/2)              

y=658

                                       insert y into x+y=1090

x+(658)=1090

    -658   -658

x=432

7 0
4 years ago
The length of a rectangle is 2 inches more than 4 times the width. The perimeter is 64 inches. Find the length and the width.
pashok25 [27]
<span>The width is 6 inches and the length is 26 inches.

Explanation:
L=4w+2, since the length is 2 more than 4 times the width.

The perimeter is given by P=2L+2w; using our equation for L, we have
P=2(4w+2)+2w.

Using the distributive property, we have
P=2*4w+2*2+2w
P=8w+4+2w.

Combining like terms, we have P=10w+4.

We know the perimeter is 64, so we have
64=10w+4.

Subtract 4 from both sides:
64-4=10w+4-4
60=10w.

Divide both sides by 10:
60/10 = 10w/10
6=w.

Substitute this into the equation for length: L=4*6+2=24+2=26</span>
5 0
3 years ago
Read 2 more answers
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