What is the slope of a line parallel to the line whose equation is 6x-2y=32

Answers

Answer 1

Answer:

Write this:

y= -3x + 1

Step-by-step explanation:

Solve the equation:

6x -2y = 32

Subtract 6x from both sides

-2y = -6x +32

divide by negative to on both sides

y = -3x -16

ANSWER:

y = -3x (any number ,negative or positive, except 16)

Answer 2

The slope of the line will be 3.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The equation of parallel line is,

⇒ 6x - 2y = 32

Now,

The slope of two parallel lines are always same.

So, We find the slope of the parallel line.

Since, The standard form of equation line is,

⇒ y = mx + c

Where, m is slope of the line.

So, We can change the equation of parallel line in the standard form.

The equation of parallel line is,

⇒ 6x - 2y = 32

Add 2y both side,

⇒ 6x - 2y + 2y = 32 + 2y

⇒ 6x = 32 + 2y

Subtract 32 both side,

⇒ 6x - 32 = 2y

⇒ 2y = 6x - 32

Divide by 2, we get;

⇒ y = 3x - 16

Compare with y = mx + c, we get;

The slope of the line (m) = 3

Thus, The slope of the line will be 3.

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Related Questions

Write the equation of the line that passes through the points (4, -6) and (-2,3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
Submit Answer

Answers

in point slope form, the answer would be y = - 3/2 x it’s one fraction

Answer:

Hello I'm the one that asked for help with art

Please add me in zoom so you can help!

maithaalabdouli4 (mine is g-mail)

4x= x + 18 X= whattttttttttt​

Answers

Answer:

4x=x+18x=

We move all terms to the left:

4x-(x+18x)=0

We add all the numbers together, and all the variables

4x-(+19x)=0

We get rid of parentheses

4x-19x=0

We add all the numbers together, and all the variables

-15x=0

x=0/-15

x=0

Step-by-step explanation:

kim types 1,890 words in 27 minutes. Find the unit rate.

Answers

Answer:

70 words per minute

Step-by-step explanation:

1890/27

=70 (words per minute)

PLEASE GIBE BRAINLIEST

solve for x:
-6 + 4x = 13

Answers

Answer:

x = 19/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

-6 + 4x = 13

Step 2: Solve for x

Add 6 to both sides:                    4x = 19Divide both sides by 4:                x = 19/4

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                    -6 + 4(19/4) = 13Multiply:                        -6 + 19 = 13Add:                               13 = 13

Here, we see that 13 does indeed equal 13.

∴ x = 19/4 is a solution of the equation.

x=4.75

explanation: you would subtract -6 since there is an invisible adding sign and then you would subtract -6 from both sides so you would do 13- -6 and that would give you 19. so then it would be 4x=19 and you would divide by 4 since you are doing inverse operation so 19 divided by 4 is 4.75

Answer this if you can ASAP. This will Gave you 10 points.

Miss Mahone went shopping for some canned goods which were on sale. She bought three times as many cans of tomatoes I can’t of peaches and two times as many cans of tuna as he has a peaches is Miss Mahoney purchase a total of 23 cans,

Answers

Answer:

but there is 7 tomatoes and I'm guessing 4 peaches and 12cans of tuna

Step-by-step explanation:

you said I can't of peaches ?

what is -5 1/8 * (-2 1/4)

Answers

Answer:

sorry ulit ha mahirap nag tanung

I’m stuck please help

Answers

Answer:

Im sorry what am i answering then i'll edit and answer

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

ok so the angle ur looking for is 180 when added to the known angle. to find the unkown angle subract the value of the known angle from 180.

180 - 80 = 100

so m 1 = 100

hope this helps :)

edit - sorry i wasnt paying attention

Which of the graphed systems share the same solution set?

Answers

I think it’s 1 and 3

Answer:

The first answer

Step-by-step explanation:

Find the slope of the line that passes through (-3, 2) and (6, 2).

Answers

Answer:

slope = 0

Step-by-step explanation:

(-3, 2) and (6, 2)

slope = (y1 - y2)/(x1 - x2)

remember, either x or y can be used but you have to be consistent

slope = (2-2)/(-3-6)

slope = 0/(-9)

slope = 0

Answer: no slope or 0

Step-by-step explanation:

The y-coordinates are the same for both points but the x coordinates are different. This signals a no-slope line, or a line where the slope is 0. Even if we apply the formula, which is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], it still ends up with 0.

Given the table below that lists points on a line, what is the y-intercept of the line?

Answers

Answer:

D.4

Step-by-step explanation:

If you think of the table as coordinates then 4 would be your y-intercept

the answer is ( D. 4 )

Find the slope of the line that passes through (10, 9) and (1, 1).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

The slope of the line that passes through (10, 9) and (1, 1) will be:

[tex]m=\frac{8}{9}[/tex]

Step-by-step explanation:

Given the points

(10, 9)(1, 1)

The slope between (10, 9) and (1, 1) is given by

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(10,\:9\right),\:\left(x_2,\:y_2\right)=\left(1,\:1\right)[/tex]

[tex]m=\frac{1-9}{1-10}[/tex]

[tex]m=\frac{8}{9}[/tex]

Thus, the slope of the line that passes through (10, 9) and (1, 1) will be:

[tex]m=\frac{8}{9}[/tex]

A rectangle has a perimeter of 42 m and a length of 15 m. What is
the width of this rectangle in metres? (Perimeter = 2(length + width))

Answers

Answer:

6 meters

Step-by-step explanation:

the perimeter is all of the sides added up so to find the added width you subtract the added length which is 30 so 42-30 is 12 so the added width is 12. To find one width you divide 12 by 2 so one width of the rectangle would be 6 meters

The perimeter of a rectangle is 2+2=
2
L
+
2
W
=
P
. The diagonals can be represented as 2+2=2
L
2
+
W
2
=
D
2
. Plugging in, we have:

2+2=42⟹+=21
2
L
+
2
W
=
42

L
+
W
=
21


2+2=152=225
L
2
+
W
2
=
15
2
=
225


We can square the first equation and subtract the second:

+=21
L
+
W
=
21


(+)2=212
(
L
+
W
)
2
=
21
2


2+2+2=441
L
2
+
2
L
W
+
W
2
=
441


2+2+2−(2+2)=441−225
L
2
+
2
L
W
+
W
2

(
L
2
+
W
2
)
=
441

225


2=216
2
L
W
=
216


It doesn’t tell us much, but we can now more easily substitute and solve for
L
.

=21−
W
=
21

L
& =108
L
W
=
108


(21−)=108
L
(
21

L
)
=
108


21−2=108
21
L

L
2
=
108


2−21+108=0
L
2

21
L
+
108
=
0


We can use the quadratic formula

=−±2−4√2
x
=

b
±
b
2

4
a
c
2
a


=21±441−432√2=21±9√2=21±32
L
=
21
±
441

432
2
=
21
±
9
2
=
21
±
3
2


=21+32=242=12
L
=
21
+
3
2
=
24
2
=
12


=21−32=182=9
L
=
21

3
2
=
18
2
=
9


We now know =9
L
=
9
or =12
L
=
12
. From this, we can calculate
W
by plugging
L
into =21−
W
=
21

L
.

=21−9=12
W
=
21

9
=
12


=21−12=9
W
=
21

12
=
9


We have two solutions:

1)=9
1
)
L
=
9
& =12
W
=
12


2)=12 2)L=12 &
=9 W=9


Both of which are the same, though. Our rectangle has side lengths of 9
9
, 12
12
, 9
9
, & 12
12
.

Please help me....people are just using my points and im running out.....please help me!!

Answers

Answer

I think that c would equal 4

Step-by-step explanation:

If you need the explanation, here it is:

When looking at the y part of the answer, you can see it goes up by three and that it is missing a point. This means that if the equation is linear, it goes up by one. Hope that's right!!

what is 523/912 x 23/125

Answers

Answer:

0.10551754386

Step-by-step explanation:

solve for x 2(4x-1)>2(2x+7)

Answers

Answer:

x>4

Step-by-step explanation:

i need help on this quickly plz will mark brainleist

Answers

The answer is the second one x=-1/2

Use a graphing calculator to graph f(x) = x+cos(kx). Use calculus to determine which values of k lead to a function with no local maxima or minima. What conclusions can be drawn?

Answers

Answer:

Below, you can see the graph of the function:

f(x) = x + cos(k*x)

for different values of k, as follows:

red: k = 1

green: k = 2

orange: k = 0.

Now let's find the values of k such that our function does not have local maxima nor local minima.

First, remember that for a given function f(x), the local maxima or minima points are related to the zeros of the first derivate of f(x).

This means that if:

f'(x0) = 0.

Then x0 is a maxima, minima or an inflection point.

Then if a function is such that the f'(x) ≠ 0 , ∀x, then this function will not have local maxima nor minima.

Now we have:

f(x) = x + cos(k*x)

then:

f'(x) = 1  - k*sin(k*x)

This function will be zero when:

1 = k*sin(k*x)

1/k = sin(k*x)

now, remember that -1 ≤ sin(θ) ≤ 1

then if 1/k is smaller than -1, or larger than 1, we will not have zeros.

And this will happen if -1 < k < 1.

g(x) = f(x - 4) + 5
Transformation(s):

Answers

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Vertical compression

Simplify the expression. (−2i)(8i)

Answers

Answer:

16

Step-by-step explanation:

(−2i)(8i) = 16

I hope this helps!

The following information is known about a savings account. Time = 6 years Interest rate = 1.9% Principal = $850 What amount of simple interest will be earned?

A. $16.15

B. $96.90

C. $946.90

D. $9,690.00

Answers

i believe it MIGHT be B?

Answer:

I = PRT

T = 6

P = 850

I = 1.9% = 0.019

I = (850)(0.019)(6) = 96.90 <==

Step-by-step explanation:

Can somebody help me with these 2. Thanks and will mark brainliest!

Answers

Answer reflection

Step-by-step explanation:

Answer:

1. pre-image    2. translation

Solve 3x2 − 7x − 2 = 0. (1 point)

Answers

Answer:

x=0.571428571

Step-by-step explanation:

4-7x=0

x=0.571428571

Answer:

Step-by-step explanation:

x = 2.591

or

x = -0.257

HELP PLZZZZZZZ!!! Compute: -3^4 • 5

Answers

Answer:

405

Step-by-step explanation:

-3 to the power of 4 = -81

-81 times 5 = -405

Answer:

-405


Suppose that an individual has a body fat percentage of 15.6% and weighs 156 pounds. How many pounds of his weight is
made up of fat? Round your answer to the nearest tenth.

Answers

Answer:

Percent or percentage or

%

means "per 100" or "out of 100". Therefore

12.3

%

=

12.3

100

.

So 12.3% of 129 pounds is:

12.3

100

129

1586.7

100

15.867

hops this help ✨

How many solutions would a quadratic equation have if the discriminant is 12? brainliest to the first correct answer

Answers

Answer:

two

Step-by-step explanation:

If the discriminant of a quadratic equation is 12 then it has two distinct real roots. That 12 is not a perfect square, so if the coefficients of the quadratic are integers or otherwise rational, then the roots are both irrational.

Answer:

two

If the discriminant of a quadratic equation is 12 , then it has two distinct real roots. Note that 12 is not a perfect square, so if the coefficients of the quadratic are integers or otherwise rational, then the roots are both irrational.

A 9 kg log is being dragged along flat ground by a 120 N force at an angle of 45°. If
the log accelerates at a rate of 0.78 m/s2, what is the normal force acting on the log?

Answers

9514 1404 393

Answer:

  3.347 N

Step-by-step explanation:

The vertical component of the dragging force is (120 N)/√2, so the net downward force is the difference between that due to gravity and the upward component of the dragging force.

  (9.8 m/s²)(9 kg) -(120 N)/√2 = 3.347 N

The normal force acting on the log is 3.347 N.

what is the measure of the angles in the triangle shown below.​

Answers

Answer:

x = 35 degrees

Step-by-step explanation:

All angles in a triangle add up to 180 degrees.

Therefore, 48 + 97 + x = 180

Solve for x.

Thus, x = 180 - 48 - 97.

x = 35 degrees

Please someone explain and give me ths answer​

Answers

Answer:

x = 10

Step-by-step explanation:

An isosceles triangle has two sides of equal length. In this triangle, there is a little line in the middle of two out of the three sides of the triangle. This line tells us that those two sides are equal. We know that the value of these sides are 4x - 8 and 2x + 12. So, to find the value of x, we can set the equations equal to each other and solve for x:

4x - 8 = 2x + 12

Subtract 2x from both sides to isolate x:

2x - 8 = 12

Add 8 to both sides:

2x = 20

Divide both sides of the equation by 2 to find the value of x:

x = 10

Hope this helps :)

find the measure of each numbered angle ​

Answers

angle 2 is 360- 258= 102

Answer:

102 degrees

Step-by-step explanation:

angle in a point is equal to 360 degrees

so 163+95=258

360-258=102

In one hour, Jason can install at least 6 windows
but no more than 8 windows. Which of the
following could be a possible amount of time, in
hours, that Jason takes to install 100 windows in
a home?
th
A) 12
B) 16
C) 17
D) 18

Answers

Answer:

B.

Step-by-step explanation:

Possible amount of hours to install 100 windows = 16 hrs.

The correct option is (B).

What is an Inequality?

In Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol. The expressions on both sides of an inequality sign are not equal. It means that the expression on the left-hand side should be greater than or less than the expression on the right-hand side or vice versa. If the relationship between two algebraic expressions is defined using the inequality symbols, then it is called literal inequalities.

Given,

Number of windows Jason can install in 1 hour = 6 ≤ x ≥ 8

Time taken in installing 1 window = 1/6 ≤ 1/x ≥ 1/8

Time taken in installing 100 windows = 1/6 × 100 ≤ 1/x × 100 ≥ 1/8 × 100

Time taken in installing 100 windows = 12.5 ≤ t ≥ 16.67

Then the possible amount of time taken will be in range of 12.5 to 16.67 hrs.  

Hence, Jason will take around 16 hrs. to install 100 windows.

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