Mathematics High School

Help asappp , What is the slope of a line perpendicular to the line whose equation is
3x + 6y = –18. Fully reduced

Answers

Answer 1

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x + 6y = - 18 ( subtract 3x from both sides )

6y = - 3x - 18 ( divide all terms by 6 )

y = - [tex]\frac{1}{2}[/tex] x - 3 ← in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2

Answer 2

Slope of the line perpendicular to given line 3x + 6y = –18 is 2

What is slope intercept form and relation between slopes of two perpendicular lines ?

The slope intercept of a line is given : y = m x+ c

y is y coordinate, x is x coordinate, m is the slope of the line

c is y- intercept of the line

If given that the slope of two lines are m₁ and m₂ then these lines are perpendicular, if the product of their slopes is -1 or m₁ *m₂ = -1

Given line is 3x + 6y = –18

Subtract 3x from both sides

⇒ 3x +6y -3x = -3x-18

⇒ 6y = -3x-18

⇒ y =(-3/6)x -18 /6 = (-1/2) x -3

comparing it with slope intercept , slope = -1/2

let the slope of line perpendicular to given line is m

then m.(-1/2) = -1

⇒ m = 2

∴Slope of the line perpendicular to given line is 2

Also, learn more about the slope intercept form from the link below:

brainly.com/question/9682526

#SPJ2

Related Questions

PLEEEEEEEEEEEEEEEASE HELP ME WITH THIS! IT IS DUE TOMORROW!!

Answers

Answer: This can help you step by step

Step-by-step explanation:

Donner un encadrement d’amplitude 10^-p des réels donner, l’entier p étant précisée pour chaque cas

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I do not understand because it’s not in English

what is this i really don’t get anything

Which of the following is arranged in the correct order?
A. |31| > |-41| > |-3| > |5|
B. |-41| > |31| > |5| > |-3|
C. |-41| > |31| > |-3| > |5|
D. |31| > |5| > |-3| > |-41|

Answers

Answer:

it's B.

Step-by-step explanation:

41>31>5>3

When do you use a Vertex Form y=a(x – h)2 + k ? What information do you get from a Vertex Form?

Answers

Answer:

The vertex

Step-by-step explanation:

Vertex form shows you the vertex of a quadratic equation.

the y coordinate of the point is determined by k.

the x coordinate is determined by:

(x-h)=0

x-h=0

+h +h

x=h

solve the equation. x^2+49=0
a.) no real solution.
b.) x= 7
c.) x= -7
d.) x= -7 and x= 7

Answers

Answer:

Step-by-step explanation:

-7 squared is -49, -49 plus 49 is 0.

(-7)^2=49 and 7^2=49
No matter what you plug in for x, squaring it will make it come back positive. Therefore it will be impossible to get -49+49=0. So there is no solution.

a) no real solution

The quotation of 3÷3/4=?
A. 3
B. 4
C. 9
D. 12

Answers

Answer: B. 4

Hope this helps you!

Solve the equation, justify
each step with an algebraic
property.
10 + 8x = -78

Answers

Answer:

x=-11

Step-by-step explanation:

10+8x=-78

minus 10 from both sides

8x= -88

-88/8 = -11

x= -11

Answer:

Your answer is: x = -11

Step-by-step explanation:

Hope this helped : )

what is b when b^2=46

Answers

Answer:

b^2 = 46

b = √46 (or 6.78 rounded)

Answer:

b≈6.78

Step-by-step explanation:

Just punch in your calculator the square root of 46.

[tex]\sqrt{46} =b[/tex]

b≈6.78

Solve each system by using substitution
X= Y - 2 4X + Y = 2

Answers

Answer:

Step-by-step explanation:

Answer:

(0, 2 )

Step-by-step explanation:

Given the 2 equations

x = y - 2 → (1)

4x + y = 2 → (2)

Substitute x = y - 2 into (2)

4(y - 2) + y = 2

4y - 8 + y = 2

5y - 8 = 2 ( add 8 to both sides )

5y = 10 ( divide both sides by 5 )

y = 2

Substitute y = 2 into (1) for corresponding value of x

x = 2 - 2 = 0

Solution is (0, 2 )

The longer leg of the right triangle is 8 more than the shorter leg. The hypotonuse is 8 more than the longer leg. FInd all 3 sides

Answers

Answer:

4[tex]\sqrt{13}[/tex]

4[tex]\sqrt{13}[/tex] + 8

4[tex]\sqrt{13}[/tex] + 16

Step-by-step explanation:

as per the given information:

shorter leg = x

longer leg = x + 8

hypotonuse = x + 8 + 8

remember the Pythagorean theorem, which states

x^2 + y^2 = n^2

where x and y are the legs and n is the hypotenuse

so now one can set up an equation:

x^2 + ( x + 8 )^2 = ( x + 16 ) ^2

simplify and solve using inverse operations:

first preform the square

x^2 + x^2 + 16x + 64 = x^2 + 32x + 256

then preform inverse opertations and simplify

2x^2 + 16x + 64 = x^2 + 32x + 256

-x^2 -x^2

x^2 + 16x + 64 = 32x + 256

-16x -16x

x^2 + 64 = 16x + 256

- 64 -64

x^2 = 16x + 192

-16x -16x

x^2 - 16 = 192

x^2 -4^2 = 192

remember the differnt ways of writing a special square

(x - 4) (x + 4) = 192

x = 4[tex]\sqrt{13}[/tex]

now add 8 to find the longer leg

4[tex]\sqrt{13}[/tex] + 8

an add another 8 to find the hypotenuse

4[tex]\sqrt{13}[/tex] + 8 + 8

4[tex]\sqrt{13}[/tex] + 16

Communities A,B and C are faced with acute water problem. The distance between communities A and B is 5km and that of A and C 7km. The angle between path AB and AC is 45degrees. If a well is dug for the three communities such that it would have equal distance to the path linking each communities. (a) Indicate by a way of sketching the exact place to dig the well? (b) Measure the distance between communities B and C?

Answers

Answer:

a) by finding the incentre

b) 5 km

Step-by-step explanation:

Let the communities A, B and C be shown by the three points of the triangle as shown in the figure below. As the angle between the path Ab and Ac is 45 degrees this is an isosceles triangle having two angles equal. As this is an isosceles triangle it must also have two sides equal .

a) the in center point can be used to have equal distance to the path linking each communities.

We take a compass and draw arcs on the two sides of the vertex and placing the compass on the arcs bisect each angle made by the triangles arms.

Joining the bisectors the lines meet at a point which is highlighted by a circle in the diagram.

This is the incentre which is equidistant from each vertex.

b) Using Pythagorus theorem

c² = a² + b²

7²= 5² + b²

b²= 24

b= 4.89= 5 km

The path between B and C is also 5 km.

Which statement about the ordered pairs (3, -8) and (4, 4) is true for the equation 3x - y/4 = 11?

A. Neither ordered pair is a solution.

B. Both ordered pairs are solutions.

C. (4, 4) is a solution to the equation but not (3, -8).

D. (3, -8) is a solution to the equation but not (4, 4).

Answers

Answer:

Neither ordered pair is a solution.

Step-by-step explanation:

If we substitute an ordered pair which is the correct solution, we will obtain the value at the right hand side of the equation.

Now let us try it;

Substitute (3,-8)

3(3)-(-8)/4 = 9 +8/4 =17/4

Again;

3(4) - 4/4 = 8/4 =2

Hence, none of the ordered pairs is a solution.

Which linear function has the same slope as the one that is represented by the table? x y Negative one-half One-fifth Negative one-fifth StartFraction 7 Over 50 EndFraction One-fifth StartFraction 3 Over 50 EndFraction One-half 0 y = negative one-half x + StartFraction 1 Over 10 EndFraction y = negative one-fifth x + one-half y = one-fifth x minus one-half y = one-half x minus StartFraction 1 Over 10 EndFraction

Answers

Answer:

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Kenny had a total of 140 minutes to read, do homework, and play video games. he spent x minutes reading. he spent 2(x + 5) minutes doing homework and he spent 25 minutes playing video games. How many minutes did Kenny spent reading?

Answers

Answer:

35 min

Step-by-step explanation:

given that the total time spent is 140min

and that the time spent reading is x minutes

and also that the time spent doing home work is 2(x+5)

the time spent playing video game is 25

the expression for the total time is given as

total = reading +homework +video game

140=x+2(x+5)+25

solving for x we have

140=x+2x+10+25

140=3x+35

140-35=3x

105=3x

x=105/3

x=35

kenny spent 35 min reading

Time spend for reading is 35 minutes

Given that;

Total number of minutes Kenny have = 140 minutes

Time spend for reading = x

Time spend for homework = 2(x + 5) = 2x + 10

Time spend for games = 25 minutes

Find:

Time spend for reading

Computation:

Total number of minutes Kenny have = Time spend for reading + Time spend for homework + Time spend for games

140 = x + 2x + 10 + 25

3x + 35 = 140

3x = 105

x = 105 / 3

x = 35

So,

Time spend for reading = 35 minutes

Learn more:

https://brainly.com/question/23129403?referrer=searchResults

Which of the following number is between 5 and 10 on a number line
[tex] \sqrt{44} [/tex]
[tex] \sqrt{38} [/tex]
[tex] \sqrt{21} [/tex]
[tex] \sqrt{6} [/tex]
[tex] - \sqrt{59} [/tex]
[tex] - \sqrt{8} [/tex]

Answers

There are 3 of them
The first, second, and fifth one

Answer:

first second and fifth are the answers

What is the product of (-6)(-7)(-1)?
042
O-14
O 14
O 42

Answers

If your asking what -6 multiplied by -7 multiplied by -1 it’s -42 otherwise I am un sure.

Answer:

-42

Step-by-step explanation:

(-6)(-7)(-1)

42(-1)

-42

Which transformation can be used to accomplish this?
A. Dilation
B. Rotation
C. Reflection
D. Translation

Answers

Reflection over y-axis

Naomi and Claire are painting a mural. Naomi paints 2 square feet per hour and has already painted 16.5 square feet.
Claire paints 4 square feet per hour and has already painted 7.5 square feet.
How many more hours will it take for Naomi and Claire to paint an equal total number of square feet?

Answers

Answer:

4 hours

Step-by-step explanation:

16.5+x2

7.5+x4

16.5+2=17.5+2=19.5+2=21.5+2=23.5

7.5+4=11.5+4=15.5+4=19.5+4=23.5

Sum of twice a number and 15 is greater than 3

Answers

2x + 15 = 3

2x+15= sum of twice a number and 15

=3 = Greater than 3

The number with the algebraic sum of its double and 15 is greater than 3 is described by; x > -6

From the question given;

The Sum of twice a number and 15 is greater than 3.

In essence;

Let the number in discuss be; x so the we have;

2x + 15 > 3

By solving;

2x > 3 -15

2x > -12

x > -6.

Answers

Answer:

Step-by-step explanation:

A=hbb

2=13·10

2=65

Please help I don’t understand

Answers

Answer:

y = -2x+4

Exp:

Slope (m) =

ΔY

ΔX

-2

= -2

θ =

arctan( ΔY ) + 360°

ΔX

= 296.56505117708°

ΔX = 2 – 1 = 1

ΔY = 0 – 2 = -2

Distance (d) = √ΔX2 + ΔY2 = √5 = 2.2360679774998

Equation of the line:

y = -2x + 4

When x=0, y = 4

When y=0, x = 2

Minute Math 10

Please help me.

Answers

Answer:

Step-by-step explanation:

1. False

2. True

3. False

4. 12/2, 8/8, 2^2

5. 0.375

6. Through the middle vertically

7. a

Solve for q.
HEELLPP

Answers

The answer is 9 I have also included the rough work I hope it helps

the answer is 9

3q+15q+18=180
18q+18=180
18q=162
q=9
hope this helped

Which situation requires the use of the cube root?
A. Determine the surface area of a cube given the side
B. Determine the volume of a cube given the side
C. Determine the side of the cube given the volume
D. Determine the volume of a sphere given the radius

Answers

Answer:

Step-by-step explanation:

Mathematically, the volume of a cube of side L is given as;

V = L^3

Now, given V and we want to find L, what we shall simply do is to find the cube root of both sides

By finding the cube roots of both sides, we can easily get the value of the side of the cube in question

sometime outiers can have a significant effect on statistics and sometime they don't . Use the following distribution to determine which statistics are affected by outliers. Round to the nearest hundredth.

Answers

What is the test name?

Could someone help me out pls? I’m taking a test and I’d love help on this thanks <3

Answers

Answer:

AC = DE

Step-by-step explanation:

Anyone want to help me with math
Solve 1−2/5 < 5x+2/5−4x

Answers

Answer:x > 1/5

Step-by-step explanation:

Anyone know how to do??

Answers

Answer:

30°

Step-by-step explanation:

Step 1:

2x + 10 + 4x + 80 = 180 Sum of a line

Step 2:

6x + 90 = 180 Combine Like Terms

Step 3:

6x = 90 Subtract 90 on both sides

Answer:

x = 30° Divide

Hope This Helps :)

HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!!!!!!

Answers

Answer:

$1.30

Step-by-step explanation

yup its 100% sure

can u brainliest i really need it

:) <3

Triangle ABC is graphed in the xy-coordinate plane, as shown.
You may interact with the applet to help answer the questions,
Triangle ABC is reflected across the y-axis to form
AA'B'C'. What are the coordinates of B' after the
reflection?
А
B' (2, - 1)
A 6
5
B
B' (2, 1)
4.
С
B'(-2, 1)
3
С
2
D
B' (1, 2)
1
-8-7 -6 -5 -4 -:B
-1.
1
1 2 3 4
5 6 7
-2
-3
-4
-5
-6
-7
to

Answers

Answer:

that will be A

Step-by-step explanation:

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Help asappp , What is the slope of a line perpendicular to the line whose equation is 3x + 6y = –18. Fully reduced

Answers

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Help asappp , What is the slope of a line perpendicular to the line whose equation is
3x + 6y = –18. Fully reduced