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stich3 [128]
3 years ago
6

What is the area of rectangle ABCD?

Mathematics
2 answers:
Fed [463]3 years ago
7 0

Answer:

8 sq. units

Step-by-step explanation:

Length of AD= BC= 4 units

length of CD= AB= 2 units

Area of Rectangle ABCD = LENGTH× BREADTH

= 4×2= 8 sq. units

azamat3 years ago
3 0

Answer:

24

Step-by-step explanation:

I learned this in like 5th grade

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Variable y varies directly with variable x. If x = 12, then y = 3. What is the value of y
Monica [59]

Answer:

<h2>y = 2</h2>

Step-by-step explanation:

To find the value of y when x = 8 we must first find the relationship between the two variables.

The statement

y varies directly with variable x is written as

y = kx

where k is the constant of proportionality

when

x = 12

y = 3

Substitute the values into the above formula and solve for k

That's

3 = 12k

Divide both sides by 12

k =  \frac{1}{4}

So the formula for the variation is

y =  \frac{1}{4} x

when

x = 8

y =  \frac{1}{4}  \times 8

we have the final answer as

<h3>y = 2</h3>

Hope this helps you

5 0
3 years ago
Write the equation x² + 6x + y² – 8y = 19 in standard form.
kirza4 [7]

Answer:

Formula used :

  • <u>x²+2xy+y²</u><u> </u><u>=</u><u> </u><u>(x+y)²</u>
  • <u>x²-2xy+y²</u><u> </u><u>=</u><u> </u><u>(x-y)²</u>

→{x}^{2}  + 6x +  {y}^{2}  - 8y = 19 \\  ({x}^{2}  + 2.3.x +  {3}^{2} ) +({y}^{2}  - 2.4.y +  {4}^{2} ) = 19 +  {3}^{2}  +  {4}^{2}  \\  {(x + 3)}^{2}  +  {(y - 4)}^{2}  = 19 + 9 + 16 \\  \boxed{ {(x + 3)}^{2}  +  {(y - 4)}^{2}  = 44}✓

  • <u>3) (x+3)²+(y-4)²=44</u> is the right answer.
8 0
2 years ago
Read 2 more answers
Find the equation of the line parallel to y=2x+6 passing through (4,5)
ozzi

Answer:

y=2x-3

when two lines are parallel, they have the same slope.

in the formula y=mx+b, m=slope of the line

we know 2 will be the slope for the line passing through (4,5)

next plug in (4,5) into the formula with 2 as the slope

4=x 5=y

next 5=2(4)+b

and you end up with

y=2x-3 when you simplify

3 0
3 years ago
Determine the next step for solving the quadratic equation by completing the square.
Lady_Fox [76]

Answer:

-7/2 = -2(x-1/2)^2

Step-by-step explanation:

0 = –2x^2 + 2x + 3

Subtract 3 from each side

-3 = –2x^2 + 2x

Factor out the -2

-3 =- 2(x^2 -x)

Take the coefficient of x and divide by 2 and square it

-1 /2 = -1/2 ^2 = 1/4

Add it to each side  Remember the -2 on the outside so we need to multiply it by -2  

-2 *1/4 =  -1/2

-3 -1/2= -2(x^2 -x +1/4)

-7/2 = -2(x^2 -x +1/4)

-7/2 = -2(x-1/2)^2

6 0
3 years ago
Read 2 more answers
Fawzi's SUV is 6 feet 4 inches
Nat2105 [25]

Answer:

<u>9 feet 2 inches</u>

Step-by-step explanation:

Given :

⇒ Height of SUV = <u>6 feet 4 inches</u>

⇒ Height of box = <u>2 feet 10 inches</u>

<u />

============================================================

Solving :

⇒ Total Height = Height of SUV + Height of box

⇒ Total Height = 6 feet 4 inches + 2 feet 10 inches

⇒ Total Height = 8 feet 14 inches

* But, 12 inches = 1 feet *

Hence,

⇒ Total Height = 8 feet + 1 foot + 2 inches

⇒ Total Height = <u>9 feet 2 inches</u>

8 0
2 years ago
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