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Georgia [21]
2 years ago
8

Determine the equation of the following lines

Mathematics
2 answers:
Phantasy [73]2 years ago
7 0
Y=3x-1

y=4/3x+2

y=2/5x+5
SOVA2 [1]2 years ago
4 0
Hint: When an equation is parallel to another, they have the same slope and when it's perpendicular, the slope is inverted.

Let's start with the first one. Since it's parallel, we're keeping the slope which is 3. Now, you just plug in the coordinate pair and solve for the y-intercept.

4 = 3(1) + b
4 = 3 + b
b = 1

Therefore the equation would be y = 3x + 1.

Next one is perpendicular so we invert the slope to give it a negative-reciprocal, making the slope 4/3. Now, you plug in and solve.

-6 = 4/3(-3) + b
-6 = -8 + b
b = 2

Therefore, the equation is y = 4/3x + 2

Next, you need to put the equations into y=mx+b

Equation for slope:
5x + 2y -4 = 0
2y = -5x + 4
y = -5/2x + 2

Since the slope is perpendicular the slope would be 2/5.

Equation for y-intercept:
2x + 3y - 15 = 0
3y = -2x + 15
y = -2/3x + 5

Since it has the same y-intercept, it stays as a 5.

The final equation would be y = 2/5x + 5.
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lyudmila [28]
I believe it is 5 or 10
5 0
2 years ago
A recipe for granola bars calls for 2/3 cup of oats. How much of the pats would you use to make 1/2 of the amount in the origina
Veseljchak [2.6K]

Answer:

1/3 cups

Step-by-step explanation:

If you want to make half of the recipe that requires 2/3 cup oats, then you would use half the oats. Half of 2/3 cup of oats is 1/3 cup of oats.

5 0
2 years ago
Using the data from the theoretical probability table, what is the probability of the spinner landing only once on yellow in two
Scrat [10]

The probability of the fair spinner landing only once on yellow in two spins is 0.375. Option C is the correct option.

<h3>What is probability?</h3>

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As, the probability of an event can not be more than the number 1.

Thus, the probability of failure of a event is equal to the difference of the 1 to the success of the event. As,

The data in the theoretical probability table for the fair spinner having 4 different color is listed below.

Yellow         Frequency

   0                 9

   1                 6

   2                 1

For the 4 different color (red, green, blue, yellow) and rotating the spinner two times, there is total 16 outcomes as,

{RR, BB, YY, GG, RB, BR, RY, YR, RG, GR, BY, YB, BG, GB, YG, GY}

Total number of Y appear probability at one time in the table is 6. Thus the probability of the fair spinner landing only once on yellow in two spins is,

P=\dfrac{6}{16}\\P=0.375

Hence, the probability of the fair spinner landing only once on yellow in two spins is 0.375. Option C is the correct option.

Learn more about the probability here;

brainly.com/question/24756209

3 0
2 years ago
The width of a rectangle is 6 and two-thirds inches. The length of the rectangle is twice is width. What is the perimeter of the
Anna007 [38]
P = 2 x ( W+L)
P = 2 x (W + 2W)
p = 2 x 3W
P = 2 x 3(20/3) =40
3 0
2 years ago
Part B
Georgia [21]

Answer:140

Step-by-step explanation: It is a really big number not the most reasonable answer for the low amount of marbles their are in the jar adding 58 and 82 gives you your answer

5 0
3 years ago
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