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3 years ago

Y-1=2/3(x+9) in standard form

1 answer:

3 0

First, distribute 2/3 to the values in the parentheses. This gives you y-1=2/3x+6.

To get y alone, we add 1 to both sides. This gets you y=2/3x+7.

y=mx+b
y=2/3x+7

It matches the standard form, so your final answer would be y=2/3x+7.

You might be interested in

Ryan has 4 cups of grape juice and Kelsey has 7 cups of lemonade they want to combine what they have to make punch how many 1/2

svp [43]

Answer:

5.5 servings

Step-by-step explanation:

4+7=11

11/2=5.5 sevings

5 0

3 years ago

Find the equation of circle (5,1) diameter 4 square root 5

stepladder [879]

Answer:

$(x-5)^2+(y-1)^2=20$

Step-by-step explanation:

Equation of a circle

$(x-a)^2+(y-b)^2=r^2$

(where (a, b) is the center and r is the radius)

Given:

center = (5, 1)
diameter = 4√5

Diameter = 2r (where r is the radius)

⇒ r = 4√5 ÷ 2 = 2√5

Substituting these values into the equation:

$\implies (x-5)^2+(y-1)^2=(2\sqrt{5})^2$

$\implies (x-5)^2+(y-1)^2=20$

6 0

2 years ago

Which of the following is the solution to the system of linear equations x=2y + 5 x/3-y=4/3

Alex73 [517]

Answer:

(7, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

x = 2y + 5

x/3 - y = 4/3

Step 2: Solve for y

Substitute: (2y + 5)/3 - y = 4/3
Multiply 3 on both sides: 2y + 5 - 3y = 4
Combine like terms: -y + 5 = 4
Isolate y term: -y = -1
Isolate y: y = 1

Step 3: Solve for x

Define: x = 2y + 5
Substitute: x = 2(1) + 5
Multiply: x = 2 + 5
Add: x = 7

And we have our final answer!

3 0

2 years ago

Read 2 more answers

) Jess has saved dimes ($ 0.10) and quarters ($ 0.25) in their piggy bank. Define the variables and write a

Mamont248 [21]

Answer:

Quarters = 10

Dimes = 15

Step-by-step explanation:

d = number of dimes, q = number of quarters

d + q = 25 is the equation for number of coins

0.1d + 0.25q = 4 is the equation for value of coins

First, solve for d in terms of q:

d + q = 25

d = 25 - q

Then substitute that into the other equation:

0.1(25 - q) + 0.25q = 4

2.5 - 0.1q + 0.25q = 4

0.15q = 1.5

q = 10

And back to d = 25 - q, d = 25 - 10 = 15

Check the math:

0.1(15) + 10(0.25) = 1.5 + 2.5 = 4

LMK if you have questions

4 0

3 years ago

A number cube is rolled 450 times and the

EleoNora [17]

Answer:

A.) 0.33

Step-by-step explanation:

7 0

2 years ago