3.
Find two numbers whose product is -6 and whose sum is 1.

Answer:

y = 3x

Step-by-step explanation:

Choose a point that the perpendicular line will pass through.

(

0

,

0

)

Combine  

1

3

and  

x

.

y

=

x

3

+

6

Use the slope-intercept form to find the slope.

Tap for fewer steps...

The slope-intercept form is  

y

=

m

x

+

b

, where  

m

is the slope and  

b

is the y-intercept.

y

=

m

x

+

b

Using the slope-intercept form, the slope is  

1

3

.

m

=

1

3

The equation of a perpendicular line to  

y

=

x

3

+

6

must have a slope that is the negative reciprocal of the original slope.

m

perpendicular

=

−

1

1

3

Simplify  

−

1

1

3

to find the slope of the perpendicular line.

Tap for fewer steps...

Multiply the numerator by the reciprocal of the denominator.

m

perpendicular

=

−

(

1

⋅

3

)

Multiply  

3

by  

1

.

m

perpendicular

=

−

1

⋅

3

Multiply  

−

1

by  

3

.

m

perpendicular

=

−

3

Find the equation of the perpendicular line using the point-slope formula.

Tap for fewer steps...

Using the point-slope form  

y

−

y

1

=

m

(

x

−

x

1

)

, plug in  

m

=

−

3

,  

x

1

=

0

, and  

y

1

=

0

.

y

+

0

=

−

3

(

x

+

0

)

Solve for  

y

.

Tap for fewer steps...

Add  

y

and  

0

.

y

=

−

3

(

x

+

0

)

Add  

x

and  

0

.

y

=

−

3

x

Hello!

y=-1/3x+6

Perpendicular lines have slopes that are opposite reciprocals.

This means that if we have a slope of -1/3, its opposite reciprocal would be 3

Use Point-Slope form:

y-y1=m(x-x1)

y-4=3(x-2)

y-4=3x-6

y=3x-6+4

y=3x-2

Hope this helps you!

~Just a joyful teen

[tex]GraceRosalia[/tex]

Answer: Add 5 to x and y for each point.

Step-by-step explanation:

Add 5 to x and y for each point.

(-4,-1) becomes (1, 4), (-1,-4) becomes (4,1) . . . etc.

Answer:

Well,If u meant the cost of 6.4 gallons of gas.Then the answer is 24.96$

But if u meant the full tank(14Gallons),Then its 54.6$

Now pls give me brainliest

Answer:

A

Step-by-step explanation:

Answer:

(a5)6*(b6)

Step-by-step explanation:

Answer:

pretty sure its 25%

Step-by-step explanation:

1/4 is the same as 0.25 which is also the same as 25%

Answer:

5/6

Step-by-step explanation:

2/3 -> 4/6

4/6+1/6= 5/6

Answer:

This isn't really a question, can you rephrase it?

Step-by-step explanation:

Answer:

On a number line, -6 is greater than -14.

Here's how to show it: (o is a point if you were to draw it out you would color the o in)

  -14   - 13   -12   -11   -10   -9   -8   -7    -6   -5   -4   -3   -2  -1  0

<--o------------------------------------------------o------------------------------->

-6 is closer to 0

46 yards was travelled north while 172 yards was travelled west.

Trigonometric ratios shows the relationship between the sides of a triangle and its angles.

For the question, the distance travelled north and distance travelled west can be determined using trigonometric ratio.

sin(15) = distance travelled north / 178

Distance travelled north = 46 yards

Also:

cos(15) = distance travelled west / 178

Distance travelled west = 172 yards

Hence, 46 yards was travelled north while 172 yards was travelled west.

Find out more at: https://brainly.com/question/2512283

Answer:

9.1

Step-by-step explanation:

In the comments

Your answer is acute triangle

Answer:

see explanation

Step-by-step explanation:

Using identities

sec²x = tan²x + 1

cosec²x = cot²x + 1

cos²x = [tex]\frac{1}{cos^2x}[/tex]

(1)

sin²θ + [tex]\frac{1}{sec^20}[/tex]

= sin²θ + cos²θ = 1

(2)

9sec²θ - 9tan²θ

= 9sec²θ - 9(sec²θ - 1)

= 9sec²θ - 9sec²θ + 9

= 9

(3)

- 8cot²A + 8cosec²A

= - 8cot²A + 8(cot²A + 1)

= - 8cot²A + 8cot²A + 8

= 8

(4)

- 10cosec²β + 10cot²β

= - 10(cot²β + 1) + 10cot²β

= - 10cot²β - 10 + 10cot²β

= - 10

Answer:

x=2

Step-by-step explanation:

Answer: x=2

Step-by-step explanation:

You add 4 to 6

Then you divide 10 by 5.

Answer:

$9

Step-by-step explanation:

45/5 is 9

Answer: -3

Step-by-step explanation:

plug in -2 for x so that the new problem is:

y=4(-2)+5

then, multiply 4 and -2 so that:

y=-8 +5

finally add -8 to 5 to get:

y=-3

first, make the line into slope-intercept form.

-3x - 5y = 1

-5y = 3x + 1

y = -3/5x - 1/5

a line parallell to this line has to have the same slope, so it could be but doesn't have to be y = -3/5x - 1

a line perpendicular to y = -3/5x - 1/5 has to have the opposite slope of it.

so, y = 5/3x +1

Answer:

I belive its 8.

Step-by-step explanation:

6 + 4 = 10

10×2=20

20÷5=4

[tex]2 { }^{2} [/tex]

=4

6-4=2

2×4= 8

Answer:

11

Step-by-step explanation:

Answer:

f(-2) = 11

Step-by-step explanation:

Given the function, f(x) = -3x + 5:

We can evaluate f(-2) by substituting -2 as the input (or x-value) for the function:

f(-2) = -3x + 5

f(-2) = -3(-2) + 5

f(-2) = 6 + 5

f(-2) = 11

Therefore, f(-2) = 11.

Step-by-step explanation:

just think a little bit.

congruent rectangles means they are all of equal size.

so, the sizes of all of these rectangles are 3×4.

therefore, the area of each one is 3×4 = 12 cm².

the total surface area (without the top

and bottom stars) is the sum of the areas of all rectangles.

how many rectangles are there ?

well, every "arm" of the star has 2 rectangle sides. and there are 5 "arms". so, there are 2×5 = 10 rectangles.

now it is really easy, right ?

we have 10 rectangles, each one with an area of 12 cm².

so the total surface area (without the star bases) is

12×10 = 120 cm²

Answer:

No

Step-by-step explanation:

Equivalent ratios are created by multiplying/ dividing the parts by the same value.

3 : 4 ( multiply both parts by 4 )

= 12 : 16 not 9 : 16

[tex]\\ \sf\longmapsto V=\dfrac{4}{3}πr^3[/tex]

[tex]\\ \sf\longmapsto 528=\dfrac{4}{3}πr^3[/tex]

[tex]\\ \sf\longmapsto \pi r^3=528\times \dfrac{3}{4}[/tex]

[tex]\\ \sf\longmapsto πr^3=32(3)[/tex]

[tex]\\ \sf\longmapsto \pi r^3=96[/tex]

[tex]\\ \sf\longmapsto 3.14r^3=96[/tex]

[tex]\\ \sf\longmapsto r^3=\dfrac{96}{3.14}[/tex]

[tex]\\ \sf\longmapsto r^3=30.57[/tex]

[tex]\\ \sf\longmapsto r=3.09m=3.1m[/tex]

[tex]\large \boldsymbol {} \sf V_{sp}=\dfrac{4}{3} \pi r^3 \\\\ \displaystyle \\ \frac{4}{3} \pi r^3=528 \ m^3 \\\\\\ r=\sqrt[3]{\sf \frac{528}{\pi } \cdot \frac{3}{4} } \approx5,0\underline 13\approx5,01[/tex]

Answer:

24p - 35

Step-by-step explanation:

Step 1: Distribute.

Step 2: Combine like terms.

Therefore, the answer is 24p - 35! I hope this helped you.

Answer:

Unit digit of this number is 0, hence divisible by 10. Hence, 19400 is divisible by 2, 5 and 10. This is an even number, hence divisible by 2. Unit digit of this number is 0, hence divisible by 5.

Answer:

x = 4

x = 10

Step-by-step explanation:

x^2 -14x + 40 = 0 ----> factor form

(x - 10)(x - 4) = 0 ---> separate equations

x - 10 = 0 ---> add 10 on both sides

x = 10

x - 4 = 0 ---> add 4 on both sides

x = 4

Answer:

small x= 4

large x= 10

Step-by-step explanation:

hello there!

x^2-14x+40=0

x^2-(10+4)x+40=0

x^2-10x-4x+40=0

pick out the common one!

x(x-10)-4(x-10)=0

(x-10)(x-4)=0

now;

x-10=0

x=10(which is large x)

again:

x-4=0

x=4( which is small x)

hope it helps.. thank u!

Answer:

y=5x+5

Step-by-step explanation:

Answer:

Y=5x-5

Step-by-step explanation:

-3y=-15x+15

3y=15x-15

Y=5x-5