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blsea [12.9K]
2 years ago
13

What is the slope of the line represented by 5x – 7y = 9?

Mathematics
1 answer:
serg [7]2 years ago
6 0

Answer:

5/7.

Step-by-step explanation:

Convert to slope-intercept form:

5x – 7y = 9

Subtract 5x from both sides:

-7y = -5x + 9

Divide through by -7:

y = (-5/-7) x + -9/7

y = 5/7 x - 9/7

The slope is 5/7.

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HELP PLEASE
nordsb [41]

Answer:

<h3>perpendicular line:    y = -¹/₆ x + 4¹/₃ </h3><h3>  parallel line:              y = 6x - 45 </h3>

Step-by-step explanation:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y = 6x - 7   ⇒   m₁=6

6×m₂ = -1        ⇒    m₂ = -¹/₆

 

The line y=-¹/₆ x+b passes through point (8, 3) so the equation:

3 = -¹/₆ ×8 + b must be true

3 = -⁴/₃ + b

b = 4¹/₃

Therefore equation in  slope-intercept form:

                                                     y = -¹/₆ x + 4¹/₃

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = 6x - 7   ⇒   m₁=6   ⇒   m₂=6

The line y=6x+b passes through point (8, 3) so the equation:

3 = 6×8 + b must be true

3 = 48 + b

b = -45

Therefore equation in  slope-intercept form:

                                                     y = 6x - 45

7 0
3 years ago
Need Answer Fast). The solution to a problem is an irrational number. which statement is true about the solution? ​Will Mark Bra
babymother [125]

Step-by-step explanation:

There is no option to choose from, but the knowledge of what irrational numbers are, would help cover this cost.

A rational number is a number that can be written as a simple fraction, a/b. Examples are 1/2, 5/6,...

If a number cannot be written as a simple fraction, then it is called irrational.

Example of irrational numbers: √2, π

7 0
3 years ago
Read 2 more answers
-2*f(6-)-7*g(-7)= ???
const2013 [10]

Answer:

12f+49g

Step-by-step explanation:

-2f(-6)-7g(-7)\\12f+49g

5 0
3 years ago
Read 2 more answers
Evaluate each expression (image provided). A.) 5 B.) 7 C.) 4 D.) 6
Mkey [24]

<h3>The answer is option A.</h3>

Step-by-step explanation:

log_{3}(243)

Can be written as

log_{3}( {3}^{5} )

Which is the same as

5 log_{3}(3)

But

log_{3}(3)  = 1

So we have

5(1) = 5

Hope this helps you

3 0
3 years ago
A car rental company has two rental rates. rate 1 is $64 per day pluus $.16 per mile. rate 2 is $128 per day plus $.08 per mile.
kvv77 [185]
D is days
m is miles

0.16m + 64d (this is rate 1)
0.08m + 128d ( this is rate 2)

since you plan to rent for one day, input d as 1.

0.16m + 64(1)
0.08m + 128(1)

i hope i gave you enough hints
7 0
3 years ago
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