What is an equation of the line that passes through the point
(6,−2) and is perpendicular to the line
6x+y=2?

Answer:

[tex]3^{0} =1[/tex]

Step-by-step explanation:

Answer:

Tn = Tn-1 + 2(n-1) + 5

Kindly note that Tn-1 means T subscript n-1

Step-by-step explanation:

Here, we want an expression for the nth term.

First term is 7

Then first common difference is 7

second common difference is 7 + 2

Third common difference is 9 + 2

So within the common differences, the nth term is 7 + (n-1) 2

Now, the nth term of the series would be;

Tn = Tn-1 + 7 + 2(n-1)

Tn = Tn-1 + 7 + 2n -2

Tn = Tn-1 + 2n + 5

Now there is a fix to this,

n for the term is not the same n for the common difference.

the 7th term works with the 6th common. difference, while the 8th term work for the 7th common difference.

So we might need to rewrite the final expression as follows;

Tn = Tn-1 + 2(n-1) + 5

Answer:

The answer is B.

Step-by-step explanation:

A true proportion is a set of ratios that equal each other.

For example, 1:2=2:4 is a proportion.

As we look through the list, we observe only B equals each other. Imagine 3:4 and 9:12 as a fraction. (¾ and 9/12). If we reduce 9/12, we get ¾. Thus, 3:4 = 9:12:)

I hope this helps!

Answer:

a > 8

Step-by-step explanation:

a-3>5

Add 3 to each side

a-3+3>5+3

a > 8

Answer:

a > 8

Step-by-step explanation:

a - 3 > 5

Add 3 on both parts.

a - 3 + 3 > 5 + 3

The a variable must be on one side.

a > 8

Step-by-step explanation:

In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations. For example, 3x² − 2xy + c is an algebraic expression. Since taking the square root is the same as raising to the power, is also an algebraic expression.

Answer: 3

Step-by-step explanation:

Answer:

1 : 9.75 * 10⁷

Step-by-step explanation:

To find n, we have to divide the real distance by the scale distance. This is 7.8 * 10⁸ / 8 = 0.975 * 10⁸ = 9.75 * 10⁷ which means that the ratio is 1 : 9.75 * 10⁷.

Answer:

1:9.75x10^10

Step-by-step explanation:

780000000km/0.008km=97500000000

Answer:

80cm^3

Step-by-step explanation:

16/4 = 4

This means that the scale factor = 4

320cm^3 = Volume of BB

BB/4 = Volume of SB

320/4 = 80

Therefore, the volume of the small box = 80cm^3.

Answer:

The roots for the given equation are -8 and 3.

Step-by-step explanation:

The first thing we must do in order to find the roots is factor the equation. We can do this by first multiplying the first and last term together. Then, we find the factors of that product that multiply together to that product but also adds together to get the middle term in the equation.

x² * -24 = -24x²

-24x² = 8x * -3x

Now, we write our new equation by replacing 5x with 8x - 3x.

x² + 8x - 3x - 24

Group the first and second terms together and also group the last two terms together.

(x² + 8x) + (-3x - 24)

Factor each parentheses. You will know that you factored them correctly when the two terms in the final parentheses are the same.

x(x + 8) -3(x + 8)

Since the two terms in the parentheses are the same, hen we have correctly factored out the equation. Now, we form the equation so we can find the roots.

(x - 3)(x + 8)

Now, equal each term in the parentheses to zero.

x - 3 = 0

x + 8 = 0

Now, solve for x in each equation. The final answer for each equation will be our roots. The roots are the values of x in a quadratic equation.

x = 3

x = -8

So, the roots of this equation are {-8, 3}

Answer:

25 students are in the class.

Step-by-step explanation:

There are 3/5 girls, and there are 10 boys, so there are 2/5 boys. 5/5 is the whole class, so here is how we would solve it: 2/5=10  3/5=15, 10+15=25.  Hope this helps!

Answer: A

Step-by-step explanation:

The equation given is y=1/2x-3. The y-intercept is the contant. It does not have any variable attached to it. The y-intercept is -3.

Answer:

A. -3

Step-by-step explanation:

The y intercept of a equation will always be the one that's has no variable beside it

Example: y=2x+5

In this equation, 5 is your y intercept

And 2 is your slope

Hope this helps!

Answer:

-2/3

Step-by-step explanation:

Well, multiplicative inverse means the opposite of a answer in this case 1 1/2 has to be made into an improper fraction.

3/2.

Hence, the multiplicative inverse of 3/2 is -2/3.

Answer:

They made 0 gain/loss.

Step-by-step explanation:

0 - 9 = -9

3 x 3 = 9

-9 + 9 = 0

Please tell me if I'm wrong.

Answer: 450

Step-by-step explanation:

971 = B + (T+71)

971-71 = 2 B

450 = B

Answer:

(7.5 , 5.5)

Step-by-step explanation:

The midpoint is halfway between the two end points:

Its x value is halfway between the two x values

Its y value is halfway between the two y values

To calculate it:

Add both "x" coordinates, divide by 2

Add both "y" coordinates, divide by 2

Answer:

(7, 8)

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x1+x2}{2}, \frac{y1+y2}{2})[/tex]

Simply set our midpoint and given point equal into a formula to find the other endpoint:

4 = (1 + x)/2

8 = 1 + x

x = 7

6 = (4 + y)/2

12 = 4 + y

y = 8

Answer:

C. X = -2

E. X = 2

Step-by-step explanation:

16(-4)² = 64

16(16) = 64

256 = 64 (false)

16(4)² = 64

16(16) = 64

256 = 64 (false)

16(-2)² = 64

16(4) = 64

64 = 64 (true)

16(-8)² = 64

16(64) = 64

1024 = 64 (false)

16(2)² = 64

16(4) = 64

64 = 64 (true)

16(-64)² = 64

16(4096) = 64

65356 = 64 (false)

Answer:

b = 0

Step-by-step explanation:

To find the value of b, we will follow the steps below;

Using the distance formula:

D = √(x₂-x₁)² + (y₂-y₁)²

from the question given,

A (-3, b), this implies

(-3, b) = (x₁ ,y₁)

x₁=-3   and y₁ = b

similarly

B (1, 3)

(1, 3) = (x₂,y₂)

this implies

x₂ = 1    and  y₂=3

D= 5

we can now proceed to insert the values into the formula and then solve for b

D = √(x₂-x₁)² + (y₂-y₁)²

5 = √(1+3)² + (3-b)²

5 = √4² + (3-b)²

5=√16 + (3-b)²

take the squares of both-side of the equation

5² = 16 + (3-b)²

25 = 16 + (3-b)²

subtract 16 from both-side of the equation

25 - 16 = (3-b)²

9 = (3-b)²

Take the square root of both-side

√9 = 3-b

3 = 3-b

add b to both-side of the equation

3 + b = 3 - b+ b

3 + b = 3

subtract 3 from both-side of the equation

3+b-3 = 3-3

b = 0

Therefore, the value of b is 0

Answer:

13,-5,-35,-77,-131,-197

Step-by-step explanation:

To get from 13 to -5, you subtract 18 (or add -18)

To get from -5 to -35, you subtract 30

 To get from -35 to -77, you subtract 42

 Notice that the amount being subtracted is increasing by 12 each time.

 So the next subtraction will be 54, and the one after that will be 66.

 So the next term is -77 - 54 = -131

 And the term after that is -131 - 66 = -197

 So the sequence would be:  13,-5,-35,-77,-131,-197

Answer:

(D)[tex]3x+2 < -7$ or $3x+2 >7[/tex]

Step-by-step explanation:

Given the absolute inequality: [tex]|3x+2| >7[/tex]

When solving absolute inequalities, if the problem has a greater than sign we set up an "OR" compound inequality that looks like this:

Therefore, for the absolute inequality |3x+2| >7, we have:

[tex]3x+2 < -7$ or $3x+2 >7[/tex]

The correct option is D.

Answer:

(-7.5, 0) x intercept

(0, 5.5) y intercept

Step-by-step explanation:

The x intercept is where it crosses the x axis

It crosses at (-7.5, 0)

The y intercept is where it crosses the y axis

It crosses at (0, 5.5)

Answer:

the x intercept will be (-7.5,0) and the y=(5.5,0)

Step-by-step explanation:

the intercept is were the line cross the graph.

Answer:

B. (7, 13/3)

Step-by-step explanation:

Since the graph doesn't show the intersecting point, we must use algebra to solve this (Substitution or elimination).

Step 1: Substitute y

1/3x + 2 = 4/3x - 5

Step 2: Isolate x

-x + 2 = -5

-x = -7

x = 7

Step 2: Find y using x

y = 1/3(7) + 2

y = 7/3 + 2

y = 13/3

Answer:

brainliest appreciated

Step-by-step explanation:

270- 216 = 54

so ...the percentage becomes

54/270 × 100 = 20%

1)

2, 5, 8, 11, 14

2)

0, 2, 8, 18, 32

3)

-6, -1, 2, 3, 10, 29

substitute the given values for x and do as the function says.

Hey there! I'm happy to help!

The surface area is basically the total area of all of the two-dimensional shapes that make up the prism. So, the surface area is the area of our two triangles, the big rectangle on the bottom, the big rectangle that goes diagonal, and the long on the back.

First, let's find the area of our triangles. To find  the area of a triangle, you multiply the base by the height and then divide it by two!

4×3=12

12÷2=6

So, each of our triangles has an area of 6 cm².

Now, let's find the area of the bottom rectangle. To find it, we just multiply the long side by the short side.

4×11=44

Now, let's look for the big diagonal rectangle above the bottom rectangle.

5×11=55

Finally, we'll find the area of the back rectangle.

3×11=33

Now, we add all of our measurements up: our two triangles and the three rectangles.

6+6+44+55+33=144

Therefore, the surface area of this prism is 144 cm².

Now your can find the surface of area of these shapes! Have a wonderful day!

Answer:

Step-by-step explanation:

Cm : km

1     :  2.3

x    :  69         Cross multily

2.3x = 69

x      =[tex]\frac{69}{2.3}[/tex]

x      = 30cm

the distance between the two towns on the map is 30cm

Answer:

30 cm

Step-by-step explanation:

69/2.3 = 30

Answer:

Option B

Step-by-step explanation:

We can see that, from the picture provided, the graphs intersect at points( 0, 4 ) and ( - 4, 4 ), respective to functions f( x ) and g( x ). These intersection points makes each function equivalent to one another, and hence -

Function f( x ) where x = - 4 / Function g( x ) where x = - 4,

[tex]f( - 4 ) = 4,\\g( - 4 ) = 4\\----------\\f ( - 4 ) = g ( - 4 )[/tex]

Respectively function f( x ) where x = 0 / Function g( x ) where x = 0,

[tex]f( 0 ) = 4,\\g( 0 ) = 4\\----------\\f ( 0 ) = g ( 0 )[/tex]

Your solution should be option b, "  f(-4) = g(-4) and f(0) = g(0) "

Answer:

sin30° and cos60°

Step-by-step explanation:

We can see that we can use multiply trig identities to solve for r:

sin30° = r/20

r = 20sin30°

cos60° = r/20

r = 20cos60°

Answer:

B

Step-by-step explanation:

Correct if wrong

Answer:

[tex] - \frac{5}{8}[/tex]

Step-by-step explanation:

[tex] - \frac{9}{8} = v - \frac{1}{2} \\ \\ \frac{1}{2} - \frac{9}{8} = v \\ \\ \frac{4}{8} - \frac{9}{8} = v \\ \\ \frac{4 - 9}{8} = v \\ \\ v = - \frac{5}{8} \\ [/tex]