Line a passes through points (3, 6) and (1, 15). Line b is parallel to line a. What is the slope of line b?

Step-by-step explanation:

The system of linear equations are , (i) y = 2x and (ii) y = x + 1 . We will find some coordinates and then we will plot its graph. The point where both Graphs will meet will be the solution of the graph .

• Finding coordinates of Equⁿ (i) :-

Step 1 : Put x = 0 :-

[tex]\tt y = 2x = 2(0) = \red{0}[/tex]

Step 2: Put x = 1 :-

[tex]\tt y = 2x = 2(1) = \red{2}[/tex]

[tex]\boxed{\begin{array}{c|c|c} \bf x & \tt 0 &\tt 1 \\ \bf y &\tt 0 & \tt 2 \end{array}}[/tex]

_________________________________

• Finding coordinates of equⁿ (ii) :-

Step 1 : Put x = 0 :-

[tex]\tt y = x + 1 = 1 + 0 = \red{1}[/tex]

Step 2: Put x = 1 :-

[tex]\tt y = x + 1 = 1 + 1 = \red{2}[/tex]

[tex]\boxed{\begin{array}{c|c|c} \bf x & \tt 0 &\tt 1 \\ \bf y &\tt 1 & \tt 2\end{array}}[/tex]

Now plot these points on the graph Taking appropriate scale . Refer to the attachment in graph . From graph the Solution is (1,2) .

Answer:

bet ay yo it's D. 3,630 cubic meters

Answer:

6 2/3

Step-by-step explanation:

We can divide 5 by 3/4 to get the answer. 5 divided by 3/4 is the same thing as 5 times 4/3 which is 20/3 and 20/3= 6 2/3.

Hope this helps :)

It is found that the number of groups of ¾ there in 5 would be; 20/3.

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division, is interpreted as equally dividing the number that is being divided into total x parts; where x is the number of parts the given number is divided.

We need to find the number of groups of ¾ there in 5.

Thus,  We can divide 5 by 3/4 ;

5 divided by 3/4 is the same thing as 5 times 4/3 which will be;

5 /  ¾ = 5 x 4/3

20/3

Also, 20/3 = 6 2/3.

So we can conclude that the number of groups of ¾ there in 5 would be; 20/3.

Learn more about division here:

https://brainly.com/question/26411682

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Answer:

50

Step-by-step explanation:

Given that:

Sides of whiteboard :

Length = 20 inches

Width = 10 inches

Dimension of post it notes :

Length = 2 inches

Width = 2 inches

Dimension of white board / dimension of post it notes :

Length = 20 / 2 = 10

Width = 10 /2 = 5

Amount of post it notes required to cover white board :

10 * 5 = 50 post it notes

Answer:

Write  

1

as a fraction with a common denominator.

−

√

5

5

−

3

5

Combine the numerators over the common denominator.

−

√

5

−

3

5

Subtract  

3

from  

5

.

−

√

2

5

Rewrite  

√

2

5

as  

√

2

√

5

.

−

√

2

√

5

Multiply  

√

2

√

5

by  

√

5

√

5

.

−

(

√

2

√

5

⋅

√

5

√

5

)

Combine and simplify the denominator.

Tap for more steps...

−

√

2

√

5

5

Simplify the numerator.

Tap for more steps...

−

√

10

5

The result can be shown in multiple forms.

Exact Form:

−

√

10

5

Decimal Form:

−

0.63245553

…

()|[]√≥°

789≤θ

456

Answer:

y = (x - 4)(x + 2)

Step-by-step explanation:

Quadratic Formula:

Substitute 1 for a, -2 for b, and -8 - y for c in the quadratic formula.

Answer:

[tex]y= (x-4)(x+2)[/tex]

Step-by-step explanation:

To factor polynomials you have to use FOIL. Which stands for First, Outer, Inner, and Last. This means that you have to multiply the first numbers of each part by each other, the outer two between both parts, the inner two between both parts, and the last two of each part, respectively. Then, you would simplify. If you go and do this for each answer choice, the last one would be the only correct one.

Answer:

She have a budget deficit of 33

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

This is a function because every input only has one output.

Answer:

Sorry but I love you

Step-by-step explanation:

Answer:

The volume of the smaller solid is 72 cm.

Step-by-step explanation:

Given that two similar solids have surface areas of 48cm and 108cm respectively, to find the volume of the smaller solid if the bigger one has a volume of 162cm the following calculation must be performed:

108 = 162

48 = X

48 x 162/108 = X

7776/108 = X

72 = X

Therefore, the volume of the smaller solid is 72 cm.

Answer:

i believe B

Step-by-step explanation:

Answer:

hindi ko alam yan wala akong pakialam

Step-by-step explanation:

tanga tanga

Answer:

60 Gallons in 1/2 hour. So we can convert that to 240 quarts. it says 2 so we divide that by two. 240/2=120

Step-by-step explanation:

Hope this helps!

Answer:

150.8

Let me know if you need an explanation.

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

23.25 or 93/4, 11.63 or 93/8, 9.5, 9.25

Rounded: 23, 12, 10, 9

Step-by-step explanation:

First, divide the fractions (93/4 & 93/8) to convert them to decimals, then just round or go from the digits 23 > 11 >9.5> 9

Hope this helps

~R3V0

Answer

x = 5

Step-by-step explanation:

Subtract  x

=

6

−

1

Subtract  

1

from  

6

.

x

=

5

Answer:

$2

Step-by-step explanation:

Divide $20 by 10 for 10 percent.

Answer:

6.5 cm is the answer

What an odd measurement

Answer:

6.5cm

Step-by-step explanation:

pythagoras theorem

h² = o² + a²

11.1² = o² + 9²

123.21 = o² + 81

123.21 - 81 = o²

42.21 = o²

o = 6.5cm

Answer:

x=-3,-4

Step-by-step explanation:

math

Answer:

x = -3 or x = -4

Step-by-step explanation:

x^2 + 7x + 12 = 0

(x + 3)(x + 4) = 0

x + 3 = 0  or  x + 4 = 0

x = -3 or x = -4

Answer:

4 - 0.6 (Repeating) x = 0.75

Step-by-step explanation:

You divide the fractions by each other ex. 2 divided by 3

Answer:

[tex] 48 - 8x = 9[/tex]

Step-by-step explanation:

Multiply both sides by LCM. which is 12.

[tex]12(4 - \frac{2}{3} x) = \frac{3}{4} \times 12[/tex]

[tex]48 - 8x = 9[/tex]

Answer: do you meant they produce 900 000 packs each month?

Then each distributor gets 900 000 /16= 56250 packs

Answer:

24 pints

Step-by-step explanation:

128 ounces · 3 = 384 ounces

384/16 = 24 pints

Answer:

There are 16 ounces in a pint. 128 ounces will then be 128/16, or 8 pints. If you use three of the 128 ounces, or 8 pints, you can multiply the 8 by 3, giving 24 pints.

Step-by-step explanation:

Given:

The equation is:

[tex](x-3)^2+2(x-3)-8=0[/tex]

To find:

The value of x.

Solution:

We have,

[tex](x-3)^2+2(x-3)-8=0[/tex]

Substitute [tex]x-3=u[/tex].

[tex]u^2+2u-8=0[/tex]

Splitting the middle term, we get

[tex]u^2+4u-2u-8=0[/tex]

[tex]u(u+4)-2(u+4)=0[/tex]

[tex](u-2)(u+4)=0[/tex]

Using zero product property, we get

[tex]u-2=0\text{ and }u+4=0[/tex]

[tex]u=2\text{ and }u=-4[/tex]

Now, substitute [tex]u=x-3[/tex].

[tex]x-3=2\text{ and }x-3=-4[/tex]

[tex]x=2+3\text{ and }x=-4+3[/tex]

[tex]x=5\text{ and }x=-1[/tex]

Therefore, the correct option is b.

The solutions to the equation are x = -1 and x = 5. The correct option is second option x = -1 and x = 5.

From the question, we are to determine the solution of the given equation

(x - 3)² + 2(x - 3) - 8 = 0

First, we will expand the equation and clear the brackets

[tex](x - 3)^{2} + 2(x - 3) - 8 = 0[/tex]

[tex](x - 3)(x - 3) + 2(x - 3) - 8 = 0[/tex]

[tex]x^{2} -6x + 9 +2x - 6 - 8 = 0[/tex]

Simplifying

[tex]x^{2} -4x - 5 = 0[/tex]

Factorizing, we get

[tex]x^{2} -5x +x- 5 = 0[/tex]

[tex]x(x-5)+1(x- 5) = 0[/tex]

[tex](x+1)(x-5)= 0[/tex]

Then,

x + 1 = 0 or x - 5 = 0

x = -1 or x = 5

Hence, the solutions to the equation are x = -1 and x = 5. The correct option is second option x = -1 and x = 5.

Learn more on solving Quadratic equations here: https://brainly.com/question/8649555