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2 years ago

14

Select the correct number of solutions and description of the corresponding graph for two lines that have the same slope but dif

ferent y-intercepts.
A. one solution; lines that intersect at one point
B. infinitely many solutions; same line
C. no solution; parallel lines

2 answers:

VMariaS [17]2 years ago

6 0

I am pretty sure it is C. No solution; parallel lines.

BaLLatris [955]2 years ago

4 0

Answer:

c

Step-by-step explanation:

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What is the EQUATION of the line PERPENDICULAR to y=-2x+5 and passing through the point (0,2)?

KonstantinChe [14]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

The required equation is ~

$\boxed{ \sf{y = \frac{x}{2} + 2 }}$

$\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}$

Let's find the slope of given line ~

$y = - 2x + 5$

comparing it with general slope - intercept form of line (y = mx + c) we get, m = -2 (that is slope of the line)

let the slope of the required line be n

And, now since the required line Is perpendicular to the given line. the product of their slopes is -1

that is ~

$- 2 \times n = - 1$

$n = \dfrac{ - 1}{ - 2}$

$n = \dfrac{1}{2}$

slope of required line is ~ 1/2

now, let's use the point - slope form of line to find the equation of required (perpendicular) line (using point (0 , 2) ~

that is ~

$y - y_1 = m(x - x_ 1)$

here, m = slope ~

$y - 2 = \dfrac{1}{2} (x - 0)$

$y - 2 = \dfrac{x}{2}$

$y = \dfrac{x}{2} + 2$

I hope it helps ~

4 0

2 years ago

What is the sum of (2x+4)+(-3x+9)

Levart [38]

Answer:

-x + 13

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

<u>Algebra I</u>

Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define expression</u>

(2x + 4) + (-3x + 9)

<u>Step 2: Simplify</u>

Combine like terms (x): -x + 4 + 9
Combine like terms (Z): -x + 13

7 0

3 years ago

Read 2 more answers

How many yards<br> carpeting is needed to cover a 60 feet length room and 40 feet width

Bad White [126]

Answer:

$266$ $\frac{2}{3}$ $yards$

Step-by-step explanation:

1. Approach

First, convert the dimensions of the room from feet to yards. Remember, the conversion rate between feet and yards is, $3feet=1yard$ . Next, find the area of the room by multiplying the length by the width.

2. Convert the unit of measurement

The measurement unit is given in feet, one must convert it into yards. The conversion rate between yards and feet is, $3feet=1yard$ .

$60feet=20yards\\\\40feet=13\frac{1}{3}yards$

3. Find the area of the room

Now multiply the length by the width to find the area of the room.

$20yards*13\frac{1}{3}yrads\\\\= 20 * \frac{40}{3}\\\\=\frac{800}{3}\\\\= 266\frac{2}{3}_{.}yards^{2}$

5 0

3 years ago

Leigh bought a conical candle wax mold. The height of the mold is 16.2 inches and the radius of the inside of the top of the con

gavmur [86]

Answer:

C

the answer is C

8 0

3 years ago

What are the solutions of the inequality? Graph the solutions. b – 4 > 4 Question 12 options: b > –8 b < –8 b > 8 b

12345 [234]

Hello there! :)

Answer:

$\boxed{b>8}\checkmark$

<h2><u><em>*****The answer should have a GREATER THAN SIGN AND POSITIVE TOO!*****</em></u></h2>

Step-by-step explanation:

Distributive property: a(b+c)=ab+ac

PEMDAS

Order of operations

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

Left/Right

First, you add by 4 from both sides of an equation.

$b-4+4>4+4$

Then, you add numbers from left/right.

4+4=8

$\boxed{b>8}$ , which is our final answer.

Hope this helps you!

Have a nice day! :)

:D

-Charlie

Thank you so much! :)

6 0

3 years ago