y= 1/6x - 1


Find the slope

Answer:

5^-2

Step-by-step explanation:

5^3 * 5^-5

~Use exponent rule [ x^y * x^z = x^y+z ]

5^3+(-5)

~Simplify

5^-2

Best of Luck!

Answer:

[tex]Height = 30cm[/tex]

[tex]Length = 360cm[/tex]

Step-by-step explanation:

Given

Scale Measurement

[tex]Height = 2cm[/tex]

[tex]Length = 24cm[/tex]

Required

Determine the possible actual measurement

First, calculate the equivalent ratio.

[tex]Ratio = \frac{Length}{Height}[/tex]

[tex]Ratio = \frac{24cm}{2cm}[/tex]

[tex]Ratio = 12[/tex]

To do this, we pick a scale factor.

Assume the scale factor is 15.

The actual measurement will be:

[tex]Height = 2cm * 15[/tex]

[tex]Height = 30cm[/tex]

[tex]Length = 24cm * 15[/tex]

[tex]Length = 360cm[/tex]

When the scale ratio is calculated, we have:

[tex]Ratio = \frac{Length}{Height}[/tex]

[tex]Ratio = \frac{360cm}{30cm}[/tex]

[tex]Ratio = 12[/tex]

Note that both have the same equivalent ratios of 12.

So, whatever the scale ratio you use, the equivalent ratio will be the same

Answer:

64

Step-by-step explanation:

4 cups * 16 quarts = 64 cups

Answer:

B. 3.375 pounds

Step-by-step explanation: because its the awnser...

Answer:

3x-6+1

Step-by-step explanation:

I know algebraaaaaa

Answer:

77 us dollar

Step-by-step explanation:

because I used a calculator

Answer:

77

Step-by-step explanation:

Answer:

A) 3:9 => 1:3

B) 12:36 => 1:3

C) 13:39 => 1:3

D) 71:213 => 1:3

E) 142:213 => 2:3

F) 38:57 => 2:3

G) 33:44 => 3:4

H) 31:42 => 31:42 or 21:42 => 1:2

Step-by-step explanation:

The simplest form of the ratios are as follows:

A) 3:9

Dividing the ratio by 3

1:3

B) 12:36

Dividing the ratio by 12

1:3

C)13:39

Dividing the ratio by 13

1:3

D) 71:213

Dividing the ratio by 71

1:3

E) 142:213

Dividing the ratio by 71

2:3

F) 38:57

Dividing the ratio by 19

2:3

G) 33:44

Dividing the ratio by 11

3:4

H) 31:42

The ratio is already in simplest form as 31 and 42 don't have a common multiple.

Or it might be mistakenly typed 31 instead of 21

Then the simplest form will be:

21:42

1:2

Hence,

A) 3:9 => 1:2

B) 12:36 => 1:3

C) 13:39 => 1:3

D) 71:213 => 1:3

E) 142:213 => 2:3

F) 38:57 => 2:3

G) 33:44 => 3:4

H) 31:42 => 31:42 or 21:42 => 1:2

Answer:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

Answer:

i think its B cause 4 was the radius

Step-by-step explanation:

Answer: 66.10

Step-by-step explanation:

Sin^-1(32/35)

Answer:

So I= p x r/100 x t

= 500 x 5/100 x 3

= 25 x 3

$75 interest

Balnce will be $575

Answer:

14.52

Step-by-step explanation:

With reference angle 32°

perpendicular (p) = 9

base (b) = x

Now

Tan 32° = p / b

0.62 = 9 / x

x = 9 / 0.62

x = 14.52

Answer:

57/32

Step-by-step explanation:

171/32 divided by 2 2/3

3.100089999. This is is the answer

Answer:

3,100,089,999,998

Step-by-step explanation:

Hope this helped

Answer:

Solving the inequality [tex]1<\frac{a+7}{-2}[/tex] we get the value of a: [tex]\mathbf{a<-9}[/tex]

Step-by-step explanation:

We need to solve the inequality: [tex]1<\frac{a+7}{-2}[/tex]

We need to solve the inequality, to find the value of a.

Solving the inequality:

[tex]1<\frac{a+7}{-2}[/tex]

First step is Switching both sides (the inequality will be reversed)

[tex]\frac{a+7}{-2}>1[/tex]

The next step is to multiply both sides by -2 and reverse the inequality

[tex]\frac{a+7}{-2}*-2<1*-2\\a+7<-2[/tex]

Now, subtracting 7 on both sides

[tex]a+7-7<-2-7\\a<-9[/tex]

So, solving the inequality [tex]1<\frac{a+7}{-2}[/tex] we get the value of a: [tex]\mathbf{a<-9}[/tex]

Answer:

1)Area; A = ¼πr²

Perimeter; P = πr/2 + 2r

2)A = 19.63 cm²

P = 17.85 cm

3) r = 8.885 cm

4) r = 14 cm

Step-by-step explanation:

This is a quadrant of a circle. Thus;

Area of a circle is πr². A quadrant is a quarter of a circle. Thus;

Formula for Quadrant Area is; A = ¼πr²

A) Perimeter of a circle is 2πr. Thus, perimeter of a quadrant is a quarter of the full circle perimeter.

Formula for the quadrant perimeter in the image given is;

P = 2πr/4 + 2r

P = πr/2 + 2r

B) When r is 5 cm;

A = ¼π(5)²

A = 19.63 cm²

P = π(5)/2 + 2(5)

P = 17.85 cm

C) when A is 100cm²:

¼πr² = 100

r² = 100 × 4/π

r² = 78.9358

r = √78.9358

r = 8.885 cm

D) when P = 50 cm.

50 = πr/2 + 2r

50 = (½π + 2)r

r = 50/(½π + 2)

r = 14 cm

Answer:

Equation of line perpendicular to given graph is:

[tex]y = -\frac{1}{2}x+4[/tex]

Step-by-step explanation:

Given equation of line is:

14x-7y=8

First of all, we have to convert the given equation into slope-intercept form to find the slope of the line

The slope-intercept form is:

[tex]y = mx+b[/tex]

Now

[tex]14x-7y=8\\14x-8 = 7y\\\frac{7y}{7} = \frac{14x-8}{7}\\y = \frac{14}{7}x - \frac{8}{7}\\y = 2x - \frac{8}{7}[/tex]

The co-efficient of x is 2 so the slope of given line is 2

Let m1 be the slope of line perpendicular to given line

The product of slopes of two perpendicular lines is -1

[tex]m.m_1 = -1\\2.m_1 = -1\\m_1 = -\frac{1}{2}[/tex]

The equation for line perpendicular line to given line will be:

[tex]y = m_1x+b\\y = -\frac{1}{2}x+b[/tex]

To find the value of b, putting (-2,5) in the equation

[tex]5 = -\frac{1}{2}(-2) + b\\5 = 1+b\\b = 5-1\\b = 4[/tex]

The final equation is:

[tex]y = -\frac{1}{2}x+4[/tex]

Hence,

Equation of line perpendicular to given graph is:

[tex]y = -\frac{1}{2}x+4[/tex]

Answer:

A

Step-by-step explanation:

The only one with nothing else in front of the X, which means you can't divide, which means it stays the same.

Answer:

Irrational numbers cannot be written as a fraction, or the ratio of two whole numbers.

You would have to find a GCF (greatest common factor) and multiply it out of the radical.

ex.

[tex]\sqrt{6}[/tex] = 2 x 2 x 2

when you have to multiplier numbers then you can combine two of them to take outside the radical, meaning 2x2x2

2[tex]\sqrt{2\\}[/tex]

so [tex]\sqrt{6}[/tex] would be closest to the positive 2 on the number line and 2 notches.

[tex]\sqrt{11}[/tex]

is an irrational number, so it might fall into 3.3 if turned into a decimal.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

8x-1+3x+4+3x+9=180

14x+12=180

14x=180-12

x=168/14

x=12

Answer:

8x-1+3x+9+3x+4=180

8x+3x+3x=180+1-9-4

14x=168

x=12

Step-by-step explanation:

Answer:

The velocity after 5s s is 20

Answer:

b

Step-by-step explanation:

Answer:

43.6

Rounded to the nearest 0.1 or

the Tenths Place.

Answer:

Cary is wrong

Step-by-step explanation:

4* (6-4)= 4* 2=8

I think it is saying (8*2) divided by to, which in that case is 8,

but if it is asking 8 (2/2) then that would also be 8 I believe. I really hope this is correct and you have a great day :)

Answer:

Cary is inncorrect. It is 4.

Answer:

5 units

Step-by-step explanation:

Step one:

Given data

Le the first number be x

and the second number be y

So

x*y= 10-----------------1

and

x+y= 7-----------------2

from eqn 1

x= 10/y

put x= 10/y in eqn 2

[tex]10/y+y= 7\\\\10/y= 7-y[/tex]

cross multiply we have

[tex]10=y(7-y)\\\\10=7y-y^2[/tex]

rearrange

[tex]y^2-7y+10=0[/tex]

the factors of the quadratic expression are

-5 and -2

[tex]y^2-5y-2y+10= 0\\\\y(y-5)-2(y-5) =0\\\\y-2=0\\\\y= 2\\\\y-5= 0\\\\y=5\\\\[/tex]

The longest side is 5 units

Answer:

Slope = 2

Step-by-step explanation:

[tex]\frac{-8-8}{-6-2}=\frac{-16}{-8}=2[/tex]

Answer:

2

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

2/10

120 ÷ 10 = 12

2 x 12 = 24

10 x 12 = 120

24/120

Answer:

24

Step-by-step explanation:

120 % 10  = 12

2 x 12 = 24

Answer: x=6

Step-by-step explanation:

-6x+8=4(5-x)

-6x+8=20-4x

12=2x

x=6

Answer:

-6

Step-by-step explanation:

-6x+8=20-4x

subtract 8 from both sides:

-6x+8-8=20-4x-8

simplifiy:

-6x=-4x+12

Add 4x to both sides:

-6x+4x=-4x+12+4x

simplifiy:

-2x=12

divied both sides by -4:

-2x/-2=12/-2

simplifiy:

x=-6

Answer:

$0.47

Step-by-step explanation:

2.82 - 2.35