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iVinArrow [24]
4 years ago
12

How do I solve for X 2x - 7 = 9

Mathematics
1 answer:
max2010maxim [7]4 years ago
5 0

Answer:

x = 8

Step-by-step explanation:

2x - 7 = 9

Add 7 to each side

2x-7+7 = 9+7

2x = 16

Divide each side by 2

2x/2 = 16/2

x = 8

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The equation for line r can be written as y=-1/4x+3. Line s which is parallel to lone r includes the point (-4,3). What is the e
MaRussiya [10]

Answer:

y=-\frac{1}{4}x+2

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form:y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)
  • Parallel lines always have the same slope

<u>1) Determine the slope of line S using line R (m)</u>

y=-\frac{1}{4} x+3

We can identify clearly that the slope of the line is -\frac{1}{4}, as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be -\frac{1}{4}. Plug this into y=mx+b:

y=-\frac{1}{4}x+b

<u>2) Determine the y-intercept of line S (b)</u>

y=-\frac{1}{4}x+b

Plug in the given point (-4,3) and solve for b

3=-\frac{1}{4}(-4)+b\\3=1+b

Subtract 1 from both sides to isolate b

3-1=1+b-1\\2=b

Therefore, the y-intercept is 2. Plug this back into y=-\frac{1}{4}x+b:

y=-\frac{1}{4}x+2

I hope this helps!

6 0
3 years ago
Malcolm has 225 yards of yarn to make 100 bracelets. Suppose the total length of the yarn stayed the same, but instead of Malcol
ANTONII [103]

Given :

Length of yarn, l = 225 yards.

Number of bracelets he made, n = 1000 .

To Find :

How long will the yarn be for each bracelet.

Solution :

Let, length of yarn used in each bracelet is x.

So,

x = \dfrac{Total\ length \ of yarn}{Number \ of \ bracelets\ made}\\\\x = \dfrac{225}{1000}\\\\x = 0.225 \ yards

Therefore, length of yarn used in each bracelet is 0.225 yard.

7 0
3 years ago
ALGEBRA 2 SIMPLIFY THE EXPRESSION
il63 [147K]

Step-by-step explanation:

here's the answer to your question

7 0
3 years ago
Is 6/11 greater than 9/14
4vir4ik [10]
No because when you cross multiply 9/24 has a bigger number
3 0
3 years ago
Variable termes X-12-3X+22
adell [148]

Answer: x + 12 = 3x + -22

12 + x = 3x + -22

Reorder the terms:

12 + x = -22 + 3x

Solving

12 + x = -22 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

12 + x + -3x = -22 + 3x + -3x

Combine like terms: x + -3x = -2x

12 + -2x = -22 + 3x + -3x

Combine like terms: 3x + -3x = 0

12 + -2x = -22 + 0

12 + -2x = -22

Add '-12' to each side of the equation.

12 + -12 + -2x = -22 + -12

Combine like terms: 12 + -12 = 0

0 + -2x = -22 + -12

-2x = -22 + -12

Combine like terms: -22 + -12 = -34

-2x = -34

Divide each side by '-2'.

x = 17

Simplifying

x = 17

7 0
3 years ago
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