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Katyanochek1 [597]
3 years ago
13

Graph 6x-2y=2 ,9x-3y=1

Mathematics
1 answer:
enot [183]3 years ago
4 0

It's a linear function. We need only two points to draw a graph.

We choose any values of x and calculate the value of y.

6x-2y=2\qquad|-6x\\\\-2y=-6x+2\qquad|:(-2)\\\\y=3x-1

for x= 0 → y = 3(0) - 1 = 0 - 1 = -1 → (0, -1)

for x = 2 → y = 3(2) - 1 = 6 - 1 = 5 → (2, 5)

9x-3y=1\qquad|-9x\\\\-3y=-9x+1\qquad|:(-3)\\\\t=3x-\dfrac{1}{3}

for x = 0 → y = 3(0) - 1/3 = 0 - 1/3 = -1/3 → (0, -1/3)

for x = 2 → y = 3(2) - 1/3 = 6 - 1/3 = 5 2/3 → (2, 5 2/3)

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A rectangle has a perimeter of 58. The width is 7 less than the length. Find the length
Marianna [84]

Answer:

Length = 18 Width = 11

Step-by-step explanation:

Perimeter = 2(length) + 2(width)

So let's label the unknown length as x. Width would then be (x-7). Then plug it into the perimeter equation.

2(x) + 2(x-7) = 58

Then use PEMDAS which will give us

2x+2x-14 = 58

Combine like terms

4x -14 = 58

Add 14 to both sides

4x = 72

To get x by itself you have to divide both sides by 4.

x = 18

So length is 18 and width is (18-7) which is 11.

6 0
2 years ago
Yolanda needs to ship a 35 pound package. If she has to pay 52of a dollar per pound, what is the amount, in dollars, that she ne
ki77a [65]

Answer:

$1820

Step-by-step explanation:

35 x 52 = $1820

4 0
2 years ago
Find sin (A-B) if sin A = 4/5 with A between 90 and 180 and if cos B = 3/5 with B between 0 and 90
quester [9]

Answer:

sin(A-B) = 24/25

Step-by-step explanation:

The trig identity for the differnce of angles tells you ...

sin(A -B) = sin(A)cos(B) -sin(B)cos(A)

We are given that sin(A) = 4/5 in quadrant II, so cos(A) = -√(1-(4/5)^2) = -3/5.

And we are given that cos(B) = 3/5 in quadrant I, so sin(B) = 4/5.

Then ...

sin(A-B) = (4/5)(3/5) -(4/5)(-3/5) = 12/25 + 12/25 = 24/25

The desired sine is 24/25.

3 0
3 years ago
Will do brainly for this
Tcecarenko [31]

Answer:

180 Degrees

Step-by-step explanation:

I had the same question and it worked/correct.

6 0
3 years ago
A bicyclist races on a bicyclist with 13-inch-radius wheels. When she is traveling at a speed of 37 ft/sec, how many revolutions
drek231 [11]
Radius of a wheel = 13 inch
= 1.08333 ft
circumference of a wheel = 2×pi×r^2
= 2 × (22/7) × 1.08333^2 ft
= 2 × (22/7) × 1.1736 ft
= (44/7)×1.1736 ft
= 51.6384/7 ft
= 7.3769142857 ft
distance covered in one minute = 37 × 60 ft/min
= 2220 ft/min
now, revolution per minute = 2220 / 7.3769142857
= 300.93884
therefore her wheels are making 300.93884 revolutions per minute
8 0
3 years ago
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