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3 years ago

Does this look correct?

1 answer:

7 0

That is not correct. I will help you. Begin by subtracting the 9x from both sides, like this: 9x - 9x + 2y = 6 - 9x. That simplifies to 2y = -9x + 6. Now divide both sides by 2 to get y all alone, like this: $\frac{2y}{2}=- \frac{9}{2}x+ \frac{6}{2}$ . That reduces down to $y=- \frac{9}{2}x+3$ . That is slope-intercept form. y = mx + b.

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Maria needs 3 1/3 yards of fabric to make a baby quilt, how many yards of fabric will she need to make 8 quilts

Vladimir79 [104]

Answer:

26 2/3 yards,

Step-by-step explanation:

First convert 3 1/3 to an improper fraction:

3 1/3 = (3*3 + 1) / 3 = 10 /3.

So for 8 quilts we need (10/3) * 8

= 80/3

= 26 2/3 yards,

8 0

3 years ago

The rectangle below has an area of 70y^8+30y^6.The width of the rectangle is equal to the greatest common monomial factor of 70y

swat32

Answer:

Width $10y^6$ units

Length $7y^2+3$ units

Step-by-step explanation:

The rectangle has an area of $70y^8+30y^6.$

The width of the rectangle is equal to the greatest common monomial factor of $70y^8$ and $30y^6.$ Find this monomial factor:

$70y^8=2\cdot 5\cdot 7\cdot y^8\\ \\30y^6=2\cdot 3\cdot 5\cdot y^6\\ \\GCF(70y^8,30y^6)=2\cdot 5\cdot y^6=10y^6$

Hence, the width of the rectangle is $10y^6$ units.

The area of the rectangle can be rewritten as

$10y^6(7y^2+3).$

The area of the rectangle is the product of its width by its length, then the length of the rectangle is $7y^2+3$ units.

8 0

3 years ago

Use Pythagorean theorem....<br> I remember doing this but I forgot how.

Kisachek [45]

Answer:

x = 41

Step-by-step explanation

9^2 + 40^2 = x^2

81 + 1600 = 1682

square root of 1681 = 41

x = 41

4 0

2 years ago

Verena lives in a city where the ratio of sunny days to rainy days is 4 to 3.

alexandr402 [8]

12 rainy days because 16 divided by 4 is 4. SO, 4 times 3 is 12

8 0

3 years ago

Which equation has exactly one solution?

KIM [24]

<h3>Answer: Choice B</h3>

===================================================

Explanation:

Let's look at choice A

The left hand side simplifies as follows

$\frac{2+6x}{2}\\\\\frac{2}{2}+\frac{6x}{2}\\\\1+3x\\\\$

This means the equation $\frac{2+6x}{2}=3x+1\\\\$ is the same as $1+3x=3x+1\\\\$ . Notice how the left and right sides are identical expressions. They both involve 3x and a 1. This means this equation has infinitely many solutions. We can rule out choice A.

------------------------------

I'll skip choice B and come back

Let's move onto choice C.

The given equation $\frac{15x-5}{3}=5x+4\\\\$ transforms into $5x-\frac{5}{3}=5x+4\\\\$ through similar steps as choice A shows.

If we were to subtract 5x from both sides, all of the x terms go away on both sides. We'd be left with the equation $-\frac{5}{3}=4\\\\$ which is always false, which means that the original equation is always false.

Therefore, the equation of choice C has no solutions. We consider this equation inconsistent. We rule out choice C because of all this.

------------------------------

Choice D is pretty much the same as choice A even down to the conclusion of getting infinitely many solutions. The left hand side simplifies fully into the right hand side. The two sides are identical; hence, we have an identity. An identity is true for all allowed x values in the domain.

In other words, whatever x value you pick it will make the equation true. So we can rule this out because we want one solution only.

------------------------------

Only choice B is left. You'll notice that after simplifying the left hand side, the x term on the left side doesn't turn into 2x. So there's no way to get the options of "infinitely many solutions" or "no solutions". Those two cases only happen when we have the same x terms on both sides.

Put another way, the two slopes of each side are different which produces nonparallel lines that intersect at exactly one location. This intersection location is the solution. Specifically, the x coordinate of the (x,y) location is the solution.

5 0

2 years ago