All categories

2 years ago

The area of the parallelogram below is ____ square meters.

Mathematics

1 answer:

elixir [45]2 years ago

5 0

Answer:

$A=63\ m^2$

Step-by-step explanation:

we know that

In a parallelogram opposite sides are parallel and congruent

The area of a parallelogram is given by the formula

$A=bh$

we have

$b=9\ m\\$

$h=7\ m$ ---> perpendicular distance from the base

substitute

$A=(9)(7)=63\ m^2$

You might be interested in

How long will it take a person to walk from Toronto to

storchak [24]

Answer:

About 947 hours, walking at 5 km (3 miles)/hour.

Walking 8 hours /day [at that pace you would need to be an Olympic Athlete to keep up the pace] it will take about four months.

Walk slower, it will take longer.

4 0

1 year ago

For each expression, write an equivalent expression that only uses addition a. 20 - 9 + 8 -7 b. 4x - 7y - 5z + 6 c. -3x - 8y - 4

Genrish500 [490]

Answer:

a. =11+ 1

b. =4x+ (-7y) + (-5z) +6

c. (-3x) + (-8y) +(-4)+(-8/7z)

Step-by-step explanation:

a. 20 - 9 + 8 -7

=11+ 1 ( this is obtained by solving)

b. 4x - 7y - 5z + 6

=4x+ (-7y) + (-5z) +6

We multiply the negative sign with the positive sign to get a minus so the answer remains the same and the expression is written as an addition sum.

c. -3x - 8y - 4 - 8/7z

-[ 3x+8y+4+8/7z]

(-3x) + (-8y) +(-4) +(-8/7z)

The minus sign is taken as common leaving the expression with the plus only.

It can be written in the same manner as above, adding the negative terms so that the expression is written as a sum.

3 0

2 years ago

PLZ answer quick!!!!!

Blizzard [7]

Number of items sold by Shelley = 3 items.

Let us assume cost of each item sold by Shelley = $ x each.

Total cost of 3 items for Shelly sold = 3*x = 3x.

Number of items sold by Billy Bob = 4 items.

The cost of each item sold by Billy Bob = $2.25 less than the items that Shelley bought = $(x-2.25) each.

Total cost of 4 items for Billy Bob sold = 4*(x-2.25) = 4(x-2.25).

Both Shelley and Billy Bob paid the same amount of money. So, we can setup an equation now.

a) Total cost of 4 items for Billy Bob sold=Total cost of 3 items for Shelly sold.

4(x-2.25) = 3x

b) Solving equation for x now.

Distributing 4 over (x-2.25), we get

4x - 4*2.25 = 3x.

4x -9 = 3x.

Adding 9 on both sides, we get

4x -9+9 = 3x+9

4x =3x+9.

Subtracting 3x from both sides, we get

4x-3x =3x-3x+9.

x = 9.

c) Checking the solution of the equation by plugging x=9 in equation we got above.

4(x-2.25) = 3x => 4(9-2.25)= 3*9

=> 4*6.75 = 27

=> 27 = 27.

We got left side = right side. So the solution x=9 is correct.

d) The cost of each item sold by Billy Bob = 9-2.25 = $6.75

Therefore, the cost of each item sold by Shelley is $9 and cost of each item sold by Billy Bob is $6.75.

3 0

2 years ago

there is 29cm if green ribbon. a blue ribbon is 9cm shorter than the green ribbon. how long is the blue ribbon

a_sh-v [17]

Answer:20cm

Step-by-step explanation:

If the blue ribbon is 9cm shorter you’re just subtracting 29-9 which is 20cm.

8 0

3 years ago

Consider the parent function f(x) = x^2 and the transformed function f(x) =- 5(x - 4)^2 – 8. Identify the

madam [21]

Given:

The parent function is

$f(x)=x^2$

Consider the transformed function is g(x) instead of f(x) because both functions are different.

$g(x)=-5(x-4)^2-8$

Step-by-step explanation:

We have,

$f(x)=x^2$

$g(x)=-5(x-4)^2-8$

It can be written as

$g(x)=-5f(x-4)-8$ ...(i)

The translation is defined as

$g(x)=kf(x+a)+b$ .... (ii)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<|k|<1, then the graph compressed vertically by factor k and if |k|>1, then the graph stretch vertically by factor k.

If k is negative, then f(x) is reflected across the x-axis to get g(x).

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (i) and (ii), we get

$a=-4$ , f(x) shifts 4 units right.

$b=-8$ , f(x) shifts 8 units down.

$k=-5$ , it is negative so f(x) reflected across the x-axis.

$|k|=|-5|=5>1$ , so f(x) stretched vertically by factor 5.

Therefore, the function f(x) reflected across the x-axis, stretched vertically by factor 5 and shifted 4 units right 8 units down to get g(x).

8 0

2 years ago