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Luba_88 [7]
3 years ago
6

The area of a rectangle is 4y + 10.

Mathematics
1 answer:
galben [10]3 years ago
6 0
By definition, the area of a rectangle is given by:
 A = (w) * (l)

 Where,
 w: width
 l: long
 We then have the following area:
 A = 4y + 10

 Factoring the area we have:
 A = 2 (2y + 5)

 Therefore, according to the definition, two possible dimensions of the rectangle are:
 w = 2

l = 2y + 5
 Answer:
 
The area of the rectangle in factored form is:
 
A = 2 (2y + 5)

 One possible set of dimensions for this rectangle is:
 
w = 2

l = 2y + 5
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What is the exact value of x?
Nadya [2.5K]
Exact value of x will be 8 x sin(60)

Exact value of sin 60 = √3/2

So √3/2 x 8= 8 √3/2

Can be simplified to 4 √3
8 0
2 years ago
you just received an increase of 8% in pay. you normally get paid a salary check of $4000. how much will your next check be?
gayaneshka [121]
4000*.08=320

4000+320=4320
8 0
3 years ago
Is anyone good with this? I need help finding the answer.
scoray [572]

Answer:

parallel:

7x - 8y = 60

perpendicular:

8x + 7y = 4

Step-by-step explanation:

original line:

-7x + 8y = 4

m = 7/8

parallel:

m = 7/8

L: 7x - 8y = k

(4, -4) -> L

28 + 32 = 60 = k

L: 7x - 8y = 60

perpendicular:

m = -8/7

L: -8x + 7y = k

(4, -4) -> L

-32 + 28 = -4 = k

L: -8x -7y = -4

=> 8x + 7y = 4

7 0
3 years ago
what is the coordinate of the vertex of the parabola y-2=1/12(x+10) a. ( 10,-2) b. (-10,2) c. (-2,10) d. (2.-10)
solniwko [45]

Answer:

y-a= c(x-b)^2

With the vertex V= (b,a)

We see that b = -10 and a = 2 and then the vertes wuld be:

V= (-10,2)

And the best option is:

b. (-10,2)

Step-by-step explanation:

For this problem we have the following function:

y-2 = \frac{1}{2} (x+10)

And if we compare this expression with the general expression for a parabola given by:

y-a= c(x-b)^2

With the vertex V= (b,a)

We see that b = -10 and a = 2 and then the vertes wuld be:

V= (-10,2)

And the best option is:

b. (-10,2)

4 0
3 years ago
Jack and Jill were buying water jugs jack bought 2 medium sized jugs and 3 large sized jugs for 150 dollars and Jill bought 4 me
Mademuasel [1]

Answer: the cost of one medium sized jug is $60

the cost of one large sized jug is $10

Step-by-step explanation:

Let x represent the cost of one medium sized jug.

Let y represent the cost of one large sized jug.

Jack bought 2 medium sized jugs and 3 large sized jugs for 150 dollars. This means that

2x + 3y = 150 - - - - - - - - - - - 1

Jill bought 4 medium jugs and 12 large jugs for 360 dollars. This means that

4x + 12y = 360 - - - - - - - - - - - 2

Multiplying equation 1 by 4 and equation 2 by 2, it becomes

8x + 12y = 600

8x + 24y = 720

Subtracting, it becomes

- 12y = - 120

y = - 120/ - 12

y = 10

Substituting y = 10 into equation 1, it becomes

2x + 3 × 10 = 150

2x + 30 = 150

2x = 150 - 30 = 120

x = 120/2 = 60

3 0
3 years ago
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