Answer:
D. (4, 5)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
y = x + 1
y = 1/2x + 3
<u>Step 2: Solve for</u><u><em> x</em></u>
- Substitute in <em>y</em>: x + 1 = 1/2x + 3
- Subtract 1/2x on both sides: 1/2x + 1 = 3
- Subtract 1 on both sides: 1/2x = 2
- Divide both sides by 1/2: x = 4
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = x + 1
- Substitute in <em>x</em>: y = 4 + 1
- Add: y = 5
<u>Step 4: Graph</u>
<em>We can confirm our answer.</em>
<span>4(b-6)+19
Easily you would better start with distributing 4 to the brackets
4(b -6) = 4*b - 4*6 = 4b - 24
then add 19 to these terms, we get:
4b - 24 + 19
combine like terms (which are -24 + 19), we get:
4b - 5
That's it....
Hope that helps
</span>
The ordered pairs that are located 8 units away from the point (2, 1) are; (-6,1), (10,1), (2,-7) and (2,9)
<h3>Ordered pairs and Distance.</h3>
The ordered pairs which can be 8 units away from the point, (2, 1) are pairs in which case, either x or y coordinates or both are 8 units from the given pair of coordinates (2,1).
Hence, the following pair of coordinates have x or y coordinates which are 8 units away from the x or y coordinates of the given pair of coordinates.
Read more on coordinates;
brainly.com/question/3447129
The correct statement is D.
Step-by-step explanation:
Given,
For backyard
Length = 5x-2
Width = 2x+4
For house
Length = 5x-2
Width = 4x-12
For driveway
Length = x+10
Width = 4x-12
To find the correct statement.
Formula
The area of a rectangle = Length × Width
So,
The area of the house and the driveway = (5x-2)(4x-12) + (x+10)(4x-12)
= (4x-12)(5x-2+x+10)
= (4x-12)(6x+8)
=
= 
So, the correct statement is D
You can cross check the other statements.
Answer:
Step-by-step explanation:
surface area=4 *x²+2 x²=6x²=6 ×5²=150 sq. in.
