What is the LCM of 5xy and 10y² ? ​

First we find the slope of the line 2x−3y+8=0 by placing it into slope intercept form:

2x−3y+8=0

⇒−3y=−2x−8

⇒3y=2x+8

⇒y=  

3

2

​

x+  

3

8

​

Therefore, the slope of the line is m=  

3

2

​

.

Now since the equation of the line with slope m passing through a point (x  

1

​

,y  

1

​

) is

y−y  

1

​

=m(x−x  

1

​

)

Here the point is (2,3) and slope is m=  

3

2

​

, therefore, the equation of the line is:

y−3=  

3

2

​

(x−2)

⇒3(y−3)=2(x−2)

⇒3y−9=2x−4

⇒2x−3y=−9+4

⇒2x−3y=−5

Hence, the equation of the line is 2x−3y=−5.

Answer:

y=2/3x-11/3

Step-by-step explanation:

Hi there!

We are given the equation 2x-3y=9 and we want to write an equation that is parallel to it and that passes through (4,-1)

Parallel lines have the same slopes

So we need to first find the slope of 2x-3y=9

We can do this by converting the equation of the line from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)

To do this, we need to isolate y on one side

2x-3y=9

subtract 2x from both sides

-3y=-2x+9

divide both sides by -3

y=2/3x-3

as 2/3 is in the place where m is, 2/3 is the slope of the line

It's also the slope of the line parallel to it that passes through (4,-1).

Here's the equation of that line so far:

y=2/3x+b

now we need to find b

as the line will pass through the point (4,-1), we can  4 as x and -1 as y in order to solve for b

-1=2/3(4)+b

multiply

-1=8/3+b

subtract 8/3 to both sides

-11/3=b

Substitute -11/3 as b into the equation

y=2/3x-11/3

There's the equation

Hope this helps!

Answer:

49.87%

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 70%

σ is the population standard deviation = 8%

a) For x = 70%

z = 70% - 70%/8%

z = 0

Probability value from Z-Table:

P(x = 70) = 0.5

b) For x = 70%

z = 94% - 70%/8%

z = 3

Probability value from Z-Table:

P(x = 94) = 0.99865

The probability of students that receive between a 70% and 94%

P(x = 94) - P(x = 70)

0.99865 - 0.5

0.49865

Therefore, the percentage of students that receive between a 70% and 94% is

0.49865 × 100

= 49.865%

Approximately = 49.87%

Step-by-step explanation:

[tex](1) \: \: \sqrt[3]{5} \times \sqrt[3]{ \frac{2}{5} } \times \frac{ \sqrt[3]{64} }{ \sqrt[3]{3} } \times \frac{ \sqrt[6]{9} }{ \sqrt[3]{2} } [/tex]

Note that the 1st two factors can be combined:

[tex] \sqrt[3]{5} \times \sqrt[3]{ \frac{2}{5} } = \sqrt[3]{5 \times \frac{2}{5} } = \sqrt[3]{2} [/tex]

We also know that the numerator in the 3rd factor can be rewritten as

[tex] \sqrt[3]{64} = 4[/tex]

And the numerator in the 4th term can be rewritten as

[tex] \sqrt[6]{9} =({( {3})^{2} })^{ \frac{1}{6} } = \sqrt[3]{3} [/tex]

So let's rewrite expression #1

[tex] \sqrt[3]{2} \times \frac{4}{ \sqrt[3]{3} } \times \frac{ \sqrt[3]{3} }{ \sqrt[3]{2} } [/tex]

Notice that all the radical terms cancel out except for 4 therefore,

[tex]\sqrt[3]{5} \times \sqrt[3]{ \frac{2}{5} } \times \frac{ \sqrt[3]{64} }{ \sqrt[3]{3} } \times \frac{ \sqrt[6]{9} }{ \sqrt[3]{2} } = 4[/tex]

Answer: m∠x = 40°

Step-by-step explanation:

This works the exact same way as the other one

Being adjacent angles in a parallelogram, the two angles would be supplementary (add up to 180°).

140° + x° = 180°

x = 40°

Answer/Step-by-step explanation:

✔️10x - 4y = -8

-5x + 6y = 10

Multiply the first equation by ½ to eliminate the x-term

Thus:

½ × 10x - 4y = -8 (eqn 1)

5x - 2y = -4

✔️-2x + 6y = 3 (eqn 1)

4x + 3y = 9

To eliminate the x-terms when adding to the second equation, multiply the first equation by 2

Thus:

2 × -2x + 6y = 3

-4x + 12y = 6

✔️3x - 8y = 1 (eqn 1)

6x + 5y = 12

To eliminate the x-terms when adding to the second equation, multiply the first equation by -2

Thus:

-2 × 3x - 8y = 1 (eqn 1)

-6x + 16y = -2

✔️-8x + 10y = 16 (eqn 1)

-4x - 5y = 13

To eliminate the x-terms when adding to the second equation, multiply the first equation by -½

Thus:

-½ × -8x + 10y = 16 (eqn 1)

4x - 5y = -8

Answer:

Match each system to the number the first equation can be multiplied by to eliminate the x-terms when adding to the second equation.

8x + 10y = 16

-2

4x-5y = 13

2× + бу = 3

4x + 3у = 9

3x - 8y = 1

6x + 5y = 12

10x - 4y =-8

-5x + бу = 10

1/2

2

-1/2Step-by-step explanation:

Answer:

6h + 5b = a

Step-by-step explanation:

Answer:

3 positive tiles hope.helps

Answer:

Step-by-step explanation:

22 = 21 [tex]e^{7k\\}[/tex]

(22/21) = [tex]e^{7k}[/tex]

ln(22/21) = 7k ln(e)

ln(22/21) = 7k  

0.046520016 = 7k

k=0.006645717

~~~~~~~~~~~~~~~~

P = 21 [tex]e^{0.006645717*17\\}[/tex]

P = 23.51  

answer:

ans:

Step-by-step explanation:

1000 m = 1 km

1000 mL = 1 L

100 cg = 1 g

Answer:

Option D

Step-by-step explanation:

By using geometric mean theorem in the given right triangle ABC,

[tex]\frac{AD}{BD}= \frac{BD}{DC}[/tex]

BD² = AD × DC

h² = (AC - CD) × DC

h² = (25 - 16) × 16

h² = 9 × 16

h = [tex]\sqrt{144}[/tex]

h = 12

Therefore, measure of side h = 12 units.

Option D will be the correct option.

Answer:

12 is correct via a p e x

Answer:

B

Step-by-step explanation:

the area of the triangle is  18 square units

Answer:

Step-by-step explanation:

stuck under the bed??

lemme jus quickly pull you back....lol

Answer:

The area will be 2 times the old area.

Step-by-step explanation:

When you double something, that means you multiply it by 2, therefor it will be 2 times the old area.

Answer:

option 3

Step-by-step explanation:

Length = 5 m, Base = 3 m

Area = Length x Base

       = 5 x 3

       = 15 m²

Base is double = 2 x 3 = 6 m

Length remains same = 5m

New Area = Length x Base

               = 5 x 6

               = 30 m²

The new Area is increase by 2 times the old Area .

Answer:

24

Step-by-step explanation:

x + (1/4)x + (1/3)x = 38

multiply both sides by 12 to clear the fractions

12x + 3x + 4x = 456

19x = 456

Divide both sides by 19

x = 24

Answer:

24

Step-by-step explanation:

x+1/4x+1/3x=38

x+7/12x=38

19/12x=38

x=38*12/19=24

Answer:

B

Step-by-step explanation:

When x=1, we will use the second equation

-(1)+1 = 0

Answer:

strong, negative;

decreased

Step-by-step explanation:

A correlation coefficient that is close to 1, shows a strong association.

If the correlation coefficient is negative, it implies a negative association, meaning as one variable increases, the other decreases.

A positive correlation coefficient shows a positive association between two variables. This implies that as one variable increases, the other increases, or as one decreases, the other decreases as well.

In the case given, we are given that the correlation coefficient obtained is -0.76. This therefore shows a negative association. Also, the value is closer to 1.

This implies that there is a STRONG, NEGATIVE association association between x and y. This is because as the temperature (x) of the day increases across days, the number of customers who patronized the store DECREASED.

Answer:

3/10

Step-by-step explanation:

=1/2 *3/5

= 1*3/2*5

= 3/10

hope it helps

Answer:

5 hours

divide 25 by 5 you get 5

Answer:

904.78

Step-by-step explanation:

I hope this is correct, if it isn't please feel free to let me know and I can fix it. I'm sorry in advance if it is incorrect.

Answer:

8

Step-by-step explanation:

In order to find the range you need to subtract maximum card number from the minimum card number. We know that the range is 5 and that the minimum card is 6 so we can set up the equation like this to find the maximum shown as x.

[tex]5=x-6[/tex]

Add 6 to both sides

[tex]11=x[/tex]

Now we know all the the numbers of the three cards Anthony has since we were given the minimum = 6, 7, and solved for the last card which was the maximum = 11. In order to find the mean we have to add all of the numbers then divide by how many numbers there are (in this case it will be 3):

[tex]mean=\frac{6+7+11}{3}[/tex]

Add 6+7+11

[tex]mean=\frac{24}{3}[/tex]

Divide by 3

[tex]mean=8[/tex]

Answer:

Swag actually means stylish and confident

Answer:

1 solution.

Step-by-step explanation:

So we can split this into to equations:

-19x+91=-19x+91−19x+91

And

-19x+91−19x+91=−19x+91

Then simplify them to:

19x=91

And

19x=91

The equations are identical, so we only need to solve one.

X = 91/19

X = 4.789

I believe this is right.

Answer:

You would choose Merry Berry Fruit Punch.

Step-by-step explanation:

We need to see the ration of fruit to water. To do this we need to divide the concentrate by the water.

Tropic Fresh Fruit Punch: 10/22 or 5/11

Merry Berry Fruit Punch: 6/13

We see that Tropic Fresh Fruit Punch has a ratio of 5/11 while Merry Berry Fruit Punch has a ratio of 6/13. When we have a common denominater, we can see the difference easier.

Tropic Fresh Fruit Punch: 65/143

Merry Berry Fruit Punch: 66/143

1. Alternate angle

2. Alternate exterior angle

3. Corresponding angle

4. Vertical angle

5. Consecutive angle

6. Alternate exterior angle

7. x = 110°

8. x = 70°

9. x = 60°

10. x = 130°

11. x = 53°

12. x = 60°

13. x = 30°

14. x = 65°

15. x = 24°

16. x = 174°

hope this helps....

Answer:

b. 8 inches wide and 25 inches long

Step-by-step explanation:

Here are the options

5 inches wide and 25 inches long

b. 8 inches wide and 25 inches long

c. 15 inches wide and 15 inches long

d 15 inches wide and 25 inches long

Area of a rectangle = length x width

10 x 20 = 200

first option

5 x 25 = 125 does not have the same area as the one lanu drew

second option

8 x 25 = 200 has  the same area as the one lanu drew

third option

15 x 15 = 225 does not have the same area as the one lanu drew

fourth option

15 x 25 = 375 does not have the same area as the one lanu drew

Answer:

A

Step-by-step explanation:

The scale factor k is the ratio of corresponding sides, image to original.

k = [tex]\frac{CP'}{CP}[/tex] = [tex]\frac{15}{75}[/tex] = 0.2

Since k < 1 this represents a reduction.