Consider parallelogram VWXY below.
Use the information given in the figure to find mXYW, x, and mX.

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:

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:

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:

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:

b

Step-by-step explanation:

Answer:b

On edge

Step-by-step explanation:

Answer:

4) 3, -2, -8

5) -7

6) E

7) D

8) 5, -1, 34

Step-by-step explanation:

4) There are at least two prominent points on line EF: (0, -4) and (6, 5). From there, we can find the slope-intercept formula of it.

The slope: (5 + 4) / (6 - 0) = 9 / 6 = 3 / 2

The intercept: (0, -4)

So, we have y = 3/2x - 4.

-3/2x + y + 4 = 0

Multiply every term by 2.

-3x + 2y + 8 = 0.

But the question asks for A to be >0! Multiply everything by -1.

3x - 2y - 8 = 0

So, the values of A, B, and C, respectively, are 3, -2, -8.

5) There are at least two prominent points on line GH: (-9, 4) and (-1, 2). From there, we have...

The slope: (4 - 2) / (-9 + 1) = 2 / -8 = -1/4

y = -1/4x + b

2 = (-1/4 * -1) + b

2 = (1/4) + b

b = 1.75; or 1 and 3/4; or 7/4.

Then, we have our intercept: 7/4.

We have an equation in slope-intercept form: y = -1/4x + 7/4

1/4x + y - 7/4 = 0

Multiply everything by 4.

x + 4y - 7 = 0.

The value of C is -7.

6) Lines that are parallel to the y-axis are vertical lines, which means that the x-values never change. We are looking for an equation where x = 3. That is code letter E.

7) Lines perpendicular to the y-axis are horizontal lines, which means that the y-values never change. We are looking for an equation where y = -5. That is code letter D (y + 5 = 0; y = -5).

8) A line parallel to 5x - 8y + 12 = 0 would have the same slope as it.

5x - 8y + 12 = 0

-8y = -5x - 12

y = 5/8x + 3/2

So, the line should have a slope of 5/8.

3 = (5/8) * (-2) + b

3 = -10/8 + b

3 = -5/4 + b

b = 3 + 5/4

b = 4 and 1/4; 17/4.

y = 5/8x + 17/4

-5/8x + y - 17/4 = 0

Multiply all terms by 8.

-5x + y - 34 = 0

Multiply all terms by -1.

5x - y + 34 = 0.

The values of A, B, and C, respectively, are 5, -1, 34.

I REALLY hope this helps because my brain kinda hurts now XD Have a great day!

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:

$45.75 because you take the 2.75 and times it by how may books which is 13 and you get $35.75 then you add your $10 and it will give you $45.75

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

1. Distribute 2 into the parentheses.

2(2x+2) = -4

4x+4 = -4

2. Subtract 4 from both sides.

4x = -8

3. Divide 4 from both sides.

4x = -8

[tex]\frac{4x}{4}[/tex] = [tex]\frac{-8}{4}[/tex]

x = -2

Hope this helps.

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]

Answer:

13.6

Step-by-step explanation:

density= mass/volume

= 544g/40cm3

=13.6

Answer:

The value needed now is $102,296.60

Step-by-step explanation:

Here, we want to calculate the present value needed.

We shall be using the formula for compound interest here

Mathematically;

A = I(1 + r/n)^nt

According to the question;

I is the initial amount which is what we want to calculate

A is the accumulated amount with interest = 140,000

r is the interest rate = 8% = 8/100 = 0.08

n is the number of times interest is compounded which is 4, since it is quarterly

t is the number of years = 2

Substituting these values, we have ;

140,000 = I(1 + 0.08/2)^(4 * 2)

140,000 = I(1.04)^8

I = 140,000/(1.04)^8

I = 102,296.62870027774

Which is I = $102,296.60 to the nearest cent

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: 3

Step-by-step explanation:

Answer:

answer should be 40

Step-by-step explanation:

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:

B. a warm coat, because the winters will be cold

Step-by-step explanation:

Continental climates are notable for extreme weather conditions. When it is hot, it is extremely hot and when it is cold, it is extremely cold. Tropical climates on the other hand are known to always have hot weather conditions.

Since Harry is already used to the tropical climate which largely features hot temperatures, we assume that he already has suitable clothing for such weather conditions. So, in addition to that, Harry would need warm clothing for the cold winters which he would experience in the continental climate. So, Harry would need a warm coat because the winter will be cold.

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:

47 years old.

Step-by-step explanation:

Let c represent each children, 'f' represent the father and 'm' represent the mother. We are given that:

[tex]4c=15*4=60\ years\\f=m+4\\\frac{4c+m+f}{6}=25[/tex]

Replace the first two equations into the last to solve for 'f':

[tex]\frac{60+(f-4)+f}{6}=25 \\2f=(25*6)-60+4\\f=47\ years[/tex]

The father is 47 years old.

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:

Joy definitely does have enough soup for 22 people.

Step-by-step explanation:

Upper Bound: 285ml  turn it to 0.285l                     10÷2=5

280ml

Lower Bound: 275ml turn it  to 0.275l

Upper Bound: 6.75l                          0.5÷2=0.25

6.5 Litters

Lower Bound:6.25l

6.75÷0.275=24.54 or 25  

6.25÷0.285=21.92 or 22

22 < 25 Joy definitely does have enough soup for 22 people.

Answer:

pretty sure its 5 since 5 is the hoghest exponent

List the multiples of 3:

3, 6, 9, 12, 15, 18,21

The ones between 10 and 20 are:

12, 15, 18

The range is the difference between the highest and lowest numbers.

Range = 18 - 12 = 6

Answer:

multiples of 3 between 10 and 20 is 12,15 and 18

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:

N(t)=300÷300e

Step-by-step explanation:

Add the 1 and the 299 together

this can ONLY be done since the problem actually looks like this in math:

N(t)= 300÷(1+299)e

Hope this helps

Answer:

B

Step-by-step explanation:

Correct if wrong

Answer:

solution,

[tex]4 {x}^{2} + 5x - 6 \\ = 4 {x}^{2} + (8 - 3)x - 6 \\ = 4 {x}^{2} + 8x - 3x - 6 \\ = 4x(x + 2) - 3(x + 2) \\ = (x + 2)(4x - 3)[/tex]

Hope this helps...

Good luck on your assignment.

Answer:

4(x-1)(x+6)

Step-by-step explanation:

-1 x 6 = -6

-1+6=5

Put 4 out of the way while factoring

Then add it back once you've found your two numbers

4(x-1)(x+6)

The roots (zeros) are 1 and -6

Hope this helps!

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:

(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:

Step-by-step explanation:

 from the graph we see that :

So our mission now is to find the expression of f(x)

let's try the four given expressions

f(4)=(4∧4)-4

     = 256-4

      = 252

this not the expression of f

f(4)=(x+4)∧4

      = 4096

again this is not the expression

f(4)=(x∧4)+4

     = 260

This is not the expression .

let's try the last one

f(4)= (4-4)∧4

     = 0

that s true .

We found the expression .

Let's check by drawing the function