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2 years ago

11

A quadrilateral in the coordinate plane has vertices (3, -2), (3, -4), (5, -4), and (5, -2). What is the area, in square units,

of the quadrilateral? (Is it 4?)

1 answer:

AfilCa [17]2 years ago

4 0

Answer:

4 square units.

Step-by-step explanation:

you are right!

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A store is selling two mixtures of nuts in 20-ounce bags. The first mixture has 15 ounces of peanuts combined with five ounces o

Mnenie [13.5K]

Given that a <span>store is selling two mixtures of nuts in 20-ounce bags: peanuts and cashews.

Let the cost of one ounce of peanut be x and the cost of one ounce of cashew be y, then

Given that </span>t<span>he first mixture has 15 ounces of peanuts combined with five ounces of cashews, and costs $4.25 implies that 15x + 5y = 4.25

Also, given that </span>t<span>he second mixture has five ounces of peanuts and 15 ounces of cashews, and costs $6.75 mplies that 5x + 15y = 6.75

To obtain the cost of </span><span>one ounce of peanuts and one ounce of cashews, we solve the two equations above, simultaneously:
$15x + 5y = 4.25 - - - (1) \\ 5x + 15y = 6.75 - - - (2) \\ \\ (1)\times3\Rightarrow45x+15y=12.75 - - - (3) \\ \\ (2)-(3)\Rightarrow-40x=-6 \\ \\ \bold{x= \frac{-6}{-40} =0.15} \\ \\ From\ (1):15(0.15)+5y=4.25 \\ \\ 5y=4.25-2.25=2 \\ \\ \bold{y= \frac{2}{5} =0.4}$

Therefore, </span><span>one ounce of peanuts and one ounce of cashews cost $0.15 and $0.40 respectively.</span>

4 0

2 years ago

Which best describe the relationship between the two lines describe below?

Anna007 [38]

we have

6x+3y=12 -----> line p

Find the slope

3y=-6x+12

y=-2x+4

m=-2

-4x=2y-2 -----> line Q

2y=-4x+2

y=-2x+1

m=-2

therefore

the lines are parallel because their slopes are equal

7 0

1 year ago

The square root of -108 minus the square root of -3

Lady_Fox [76]

square root(-108) - square root(-3) =8.66025404 i

6 0

3 years ago

Please help me solve this question

Anastasy [175]

Answer:

50

Step-by-step explanation:

Use pythagoreom theorem to determine the length of the hypotenuse:

a² + b² = c²

- assign side a to 30 and side b to 40

30² + 40² = c²

90 + 160 = c²

250 = c²

Now square root both sides to isolate side c:

√250 = √c²

50 = c

side c = 50

7 0

2 years ago

Gabby and Sydney bought some pens and pencils. Gabby bought 4 pens and 5 pencils for $6.71. Sydney bought 5 pens and 3 pencils f

denpristay [2]

Answer:

The cost of each pens is $1.19

The cost of each pencils is $0.39

Step-by-step explanation:

Given as :

The number of pens bought by Gabby = 4

The number of pencils bought by Gabby = 5

The number of pens bought by Sydney = 5

The number of pencils bought by Sydney = 3

The total cost of Gabby items = $6.71

The total cost of Sydney items =$7.12

Let The cost of each pens = x

And The cost of each pencils = y

Now, According to question

For Gabby

4 x + 5 y = $6.71 .............1

For Sydney

5 x + 3 y = $7.12 .............2

Now, Solving both equations

5 × (4 x + 5 y) - 4 × (5 x + 3 y) = 5 × 6.71 - 4 × 7.12

Or, 20 x + 25 y - 20 x - 12 y = 33.55 - 28.48

Or, (20 x - 20 x) + (25 y - 12 y) = 5.07

or, 0 + 13 y = 5.07

∴ y = $\frac{5.07}{13}$

I.e y = $0.39

So, The cost of each pencils = y = $0.39

Again , put The value of y in eq 1

I,e 4 x + 5 y = $6.71

Or, 4 x + 5 × 0.39 = 6.71

or, 4 x + 1.95 = 6.71

or, 4 x = 6.71 - 1.95

or , 4 x = 4.76

∴ x = $\frac{4.76}{4}$

I.e x = $1.19

The cost of each pens = x = $1.19

Hence The cost of each pens is $1.19

And The cost of each pencils is $0.39 Answer

6 0

3 years ago