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Simora [160]
3 years ago
6

draw and label a parallelogram with a base twice as long as the height and an area less than 60 square inches. find the area

Mathematics
1 answer:
liubo4ka [24]3 years ago
3 0
Answer: 5 cm by 10 cm gives an area of 50 cm^2

To do this draw a parallelogram and start by labeling the base as 10 cm. If 10 cm is the base, then the height needs to be 5 cm.

To find the area, multiply the base times height.

This will give you: 5 x 10 = 50 which is less than 60.
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Consider a system of two linear equations in two variables. If the graphs of the equations are not the same line, is it possible
FinnZ [79.3K]

Answer:

No

Step-by-step explanation:

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3 0
2 years ago
The length of a rectangle is 2 units more than the width. The area of the rectangle is 63 units. What is the length, in units, o
Keith_Richards [23]

Answer:

Length = 9units

Width = 7units

Step-by-step explanation:

It is said that the length is 2units more than the width

Assume that the width is x, then the length will be 2 + x

ie

Width = x

Length = 2 + x

Area of the rectangle = 63units

Area of rectangle = l * b

l - length of the rectangle

b - width of the rectangle

A = l * b

63 = (2 + x) * x

63 = ( 2 + x) x

63 = 2x + x^2

Let's rearrange it

x^2 + 2x - 63 = 0

Let's find the factor of 63

A factor that can be multiplied to give -63 and that can be added to give +2

Let's use -7 and +9

x^2 - 7x + 9x - 63 = 0

Separate with brackets

( x^2 - 7x) + ( 9x - 63) = 0

x( x - 7) + 9(x - 7) = 0

( x + 9)(x - 7) = 0

( x + 9) = 0

( x - 7) = 0

x + 9 = 0

x = -9

x - 7 = 0

x = 7

Note: the length of a rectangle can not be negative

So therefore,

x = 7

Length = 2 + x

= 2 + 7

= 9units

Width = x

= 7units

7 0
3 years ago
The equation x^2−8x−5=0 can be transformed into the equation (x−p)^2=q, where p and q are real numbers. What is the value of q?
Setler79 [48]

Answer:

x = 5

  or

x = 3

Step-by-step explanation:

The first term is,  x2  its coefficient is  1 .

The middle term is,  -8x  its coefficient is  -8 .

The last term, "the constant", is  +15

Step-1 : Multiply the coefficient of the first term by the constant   1 • 15 = 15

Step-2 : Find two factors of  15  whose sum equals the coefficient of the middle term, which is   -8 .

     -15    +    -1    =    -16

     -5    +    -3    =    -8

3 0
2 years ago
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