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wolverine [178]
3 years ago
5

What is the equation of the line that is parallel to the line y=-1/3x+4 and passes through the point (6,5)?

Mathematics
2 answers:
Dafna11 [192]3 years ago
8 0

Answer:

y = -\frac{1}{3} x + 7

Step-by-step explanation:

Given: y = -\frac{1}{3} x + 4 and passes through the point (6, 5).

Here we have to find the equation of the line that is parallel to the given line.

If the two lines are parallel, then their slopes must be the same.

From the given equation, the slope(m) = -\frac{1}{3}

So the slope of the parallel line also will be the same.

Now we have to find the y-intercept of the parallel line.

The general form of slope-intercept form y = mx + b, where "m" is the slope and "b" is the y-intercept.

We know m = -\frac{1}{3} and it is passes through the point (6, 5)

Here x = 6 and y = 5

Now plug in these values in the above slope-intercept and find the y-intercept.

5 = -\frac{1}{3} *6 + b

5 = -2 + b

Adding 2 on both sides, we get

b = 5 + 2

b = 7

Now we got slope (m) = -1/3 and y-intercept(b) = 7

So the required equation is y = -\frac{1}{3} x + 7

natulia [17]3 years ago
5 0
Parallel lines have the same slope. The slope of y = -1/3 x + 4 is -1/3.

The equation is

(y - 5) = -1/3 (x - 6)

y = -1/3 x -1/3 (- 6) + 5 = -1/3 x + 2 + 5 = -1/3 + 7

The equation is: y = - 1/3 x + 7

y = -1/3 x
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Lily bought 20.24 pounds of grapefruit. The lightest grapefruit weighed 1.2 pounds. The heaviest grapefruit weighed 1.8 pounds.
dexar [7]

Given:

  • Lily bought 20.24 pounds of grapefruit.
  • The lightest grapefruit weighed 1.2 pounds.
  • The heaviest grapefruit weighed 1.8 pounds.

To Find:

An estimate of the number of grapefruits she bought.

Answer:

The best estimate is that Lily bought 13 grapefruits.

Step-by-step explanation:

Given that the lightest grapefruit weighed 1.2 pounds and the heaviest one weighed 1.8 pounds, we can take the mean or average of these two weights to estimate the weight of any of the grapefruits that she bought.

That is, we can say that each grapefruit must weigh something close to the average value.

The average can be found as

\frac{1.2+1.8}{2}=1.5

Thus, the average grapefruit from the bundle she bought must weigh around 1.5 pounds.

Now, given that the total weight of the grapefruit she bought is 20.24 pounds.

By the Unitary Method,

Weight of One Grapefruit = Total Weight of All Grapefruits ÷ Number of Grapefruits

So, number of grapefruits she bought = Total weight ÷ weight of one grapefruit

In other words,

number of grapefruit = \frac{20.24}{1.5}=13.49

Rounding off, we may say that Lily bought 13 grapefruits.

6 0
3 years ago
HELP ASAP PLEAse!!! HOW DO YOU FIND THE LATERAL AREA OF THE TRIANGLE, (ALREADY GOT SURFACE AREA CORRECT), PLEASE ROUND IT TO THE
Zarrin [17]
172.9

You find it by multiplying each side of the triangle by the height (9) and adding the results together.

A(lateral) = 8 * 9.1 + 3 * 9.1 + 8 * 9.1
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6 0
2 years ago
.<br><br> y = x2 + 3<br> y = x + 5
ddd [48]
I assume you mean x squared in the first equation

Because both are equal to y, they are equal to each other so x + 5 = x^2 +3
If we then move everything over to one side, we get x^2 - x - 2 = 0

Then factorise it to (x-2)(x+1) = 0
And solve both parts separately

x + 1 = 0
x = -1

x-2 = 0
x = 2

Sub both values into the simplest equation in this case y=x+5
to get y = 4 and y = 7
7 0
1 year ago
You aint even saying why is yes you chould try explaining it better next time.
olchik [2.2K]
What are you talking about?
3 0
2 years ago
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What is 99 divided bye 100
WINSTONCH [101]

Answer:

= 0.99

Step-by-step explanation:

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