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3 years ago

Jackson's rectangular orchard is 6 km long and 4 km wide. What is the area of Jackson's orchard?

1 answer:

5 0

For a rectangle area, use base x height, or length x width.

6 km long x 4 km wide = 24 km

The area of Jackson's orchard is 24 km

hope this helps

x = multiply

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The Mary boat cruise line charges a non-refundable fee of $150 and a fee of $280 a day on the cruise ship. The Billy Boat cruise

White raven [17]

You would set it up like this: 150x + 280 = 255x The you just solve.

8 0

3 years ago

An isosceles trapezoid ABCD with height 2 units has all its vertices on the parabola y=a(x+1)(x−5). What is the value of a, if p

True [87]

Answer:

the value of a, if points A and D belong to the x−axis and m∠BAD=60 degrees is 2/√3

Step-by-step explanation:

Trapezoid ABCD with height 2 unit contain Points A and D which may be A(-1,0) and D(5.0)

Vertex of parabola is the point where parabola crosses its axis

Let suppose A and D are two points then draw altitude on them CE where C is on AD

As height of altitude has been given that is 2 then

total angle = 180 degrees

m∠BAD=60 degrees

m∠CEA =180 - 60 -90

= 30

then the value for AE = 2/√3.

y=a(x+1)(x−5).

where 2/√3 is right of -1 and 2 unit above x-axis

5 0

3 years ago

Factorize 2a^2+7a-15

loris [4]

$\huge\bf \pink {\underline{Solution :-}}$

$2 {a}^{2} + 7a - 15$

$= 2 {a}^{2} + 10a - 3a - 15$

$= 2a(a + 5) - 3(a + 5)$

$= (a + 5)(2a - 3)$

$\sf \red{Hence, Answer \: is \: (a + 5)(2a - 3).}$

$\\$

$\bf \purple{ \underline{ Important \: Formulas \: for \: Factorization :-}}$

$• \: {a}^{2} + 2ab + {b}^{2} = {(a + b)}^{2}$

$• \: (a + b)(a - b) = {a}^{2} - {b}^{2}$

$• \: {a}^{2} - 2 ab + {b}^{2} = {(a - b)}^{2}$

$• \: {a}^{3} + 3 {a}^{2} b + 3a {b}^{2} + {b}^{3} = {(a + b)}^{3}$

$• \: {a}^{3} - 3 {a}^{2} b + 3a {b}^{2} - {b}^{3} = {(a - b)}^{3}$

$• \: {(a + b)}^{2} + {(a - b)}^{2} = 2( {a}^{2} + {b}^{2} )$

$• \: {(a + b)}^{2} - {(a - b)}^{2} = 4ab$

$• \: (a + b)( {a}^{2} -ab + {b}^{2} ) = {a}^{3} + {b}^{3}$

$• \: (a - b)( {a}^{2} + ab + {b}^{2} ) = {a}^{3} - {b}^{3}$

$• \: {( \frac{a + b}{2} )}^{2} - ( {\frac{a - b}{2} } )^{2} = ab$

5 0

3 years ago

Read 2 more answers

What is the difference of two positive rational number always positive?

Alexeev081 [22]

No, while the difference represents the absolute magnitude of two numbers . . . for example . . .

The difference between 5 and 2 is . . . 3
The difference between 6.4 and 9.5 is . . . 3.1

. . . there is still the chance that the difference may be zero . . . in which case the difference is neither positive nor negative

. . . so in short . . . the answer is . . . <span>NO</span>

6 0

3 years ago

Deepa has 57. She has 4 times as much money as Gaurav. How much

Readme [11.4K]

Answer:

42.75 dollars more

Step-by-step explanation:

57/4= 14.25

Gaurav has 14.25 dollars

57-14.25=42.75

therefore Deepa has 42.75 more dollars than Gaurav

6 0

3 years ago