If n is the larger of the two consecutive numbers, write an expression for the sum of these two numbers.

Mathematics

1 answer:

iren [92.7K]3 years ago

4 0

Answer: 2n-1

Step-by-step explanation:

If n is the larger number, than the smaller number is n-1, because they are consecutive. So if you add them together, the answer is n+n-1= 2n-1.

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Please help thank you.

marusya05 [52]

This problem can be completed in 2 ways. Both are acceptable.

Option 1:

This is an isosceles trapezoid that can be divided into a rectangle and two congruent triangles.

The area of the rectangle is the base times the height.

$9 \times 4=36$

The area of one of the triangles is half the base times the height.

$\dfrac{1}{2} \times 5 \times 4 = 10$

The other triangle must have that area too.

$36+10+10=56$

The area is 56 square centimeters.

Option 2:

We can use the area formula for the trapezoid.

$A=\dfrac{b_1+b_2}{2} \times h$

Where $b_1$ is the length of the shorter base
and $b_2$ is the length of the longer base
and $h$ is the height.

The length of the shorter base is 9.
The length of the longer base is 9+5+5, or 19.

The height is 4.

$A=\dfrac{9+19}{2} \times 4$

$=56$

Same answer. The area is 56 square centimeters.

Both options are two acceptable ways the problem can be tackled.

7 0

3 years ago

(4.3 * 10-3)(2 x 10-2)

FinnZ [79.3K]

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➷ $(4.3\cdot10-3)(2\cdot 10-2)$