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3 years ago

The length of a rectangle is 5 cm greater than its width. The perimeter is 42 cm. What are the dimensions of the rectangle.

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

4 0

Answer:

length=25 width=17

Step-by-step explanation:

l+w=42

start by guessing a pair of numbers that equals 42 i chose 22+20

since these two numbers are 2 digits apart,

5-2=3

now we have to add 3 to 22 and subtract 3 from 20

now it is 25+17 which still equals 42

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A dog trainer is trying to find a triangular area behind his house that encloses 1800 square feet for his dog to run. He has the

aliina [53]

Answer:

$C = (30,500)$

Step-by-step explanation:

Given

$Area = 1800ft^2$

$A = (6,0)$

$B = (0,25)$

$C(x,y) = (30,y)$

Required

Determine the coordinates of C

The area of triangle is calculated as thus:

$Area = \frac{|A_x(B_y - C_y) + B_x(C_y - A_y) + C_x(A_y - B_y)|}{2}$

This gives:

$1800= \frac{|6(25 - y) + 0(y - 0) + 30(0 - 25)|}{2}$

$1800= \frac{|6(25 - y) + 30(0- 25)|}{2}$

$1800= \frac{|6(25 - y) + 30(-25)|}{2}$

$1800= \frac{|150 - 6y -750 |}{2}$

$1800= \frac{|150 -750- 6y |}{2}$

$1800= \frac{|-600- 6y |}{2}$

Multiply through by 2

$2 * 1800= |-600- 6y|$

$3600= |-600- 6y|$

$3600= |-(600+ 6y)|$

$3600= 600+ 6y$

Solve for 6y

$6y = 3600 - 600$

$6y = 3000$

Solve for y

$y = 3000/6$

$y = 500$

Hence:

The point is:

$C = (30,500)$

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3 years ago

Quadratic factorisation Question, help please.

luda_lava [24]

3x^2 + 5x + 2

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Now find two number that multiply to 6 and add up to b or 5

We could use 2 and 3 because ....

3 + 2 = 5
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Now you rewrite....

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Now pull out common factors...

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The factors of this expression is ( 3x + 2 ) ( x + 1)

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Answer:

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