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emmasim [6.3K]
3 years ago
15

What polynomial can be simplified to a different of squares? 10a2+3a-3a-16

Mathematics
1 answer:
olganol [36]3 years ago
3 0

10a^2 +3a -3a -16 = 10a^2 -16 = (\sqrt{10}a +4 ) (\sqrt{10}a - 4 )

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The sum of two consecutive natural numbers is 525.<br> Find the numbers.
Luda [366]

Answer:

262 and 263 are consecutive natural numbers whose sum is 525.

Step-by-step explanation:

Natural number are a subset of real numbers consisting in positive integers (i.e. 1, 2, 3, 525) and two natural numbers are consecutive when distance between each other is equal to 1. (|x-y| = 1, \forall\,x,y \in \mathbb{N}) We can interpret the statement mathematically by means of the following expression:

x + y = 525

x = n

y = n+1

Where x, y, n \in \mathbb{N}.

This system is reduced to a single equation and solved afterwards:

n +(n+1) = 525

2\cdot n + 1 = 525

2\cdot n = 524

n = 262

Now we evaluate x and y to obtain the natural numbers:

x = 262

y = 263

262 and 263 are consecutive natural numbers whose sum is 525.

3 0
3 years ago
20% of what number is 6.5?
scoundrel [369]

Answer:

1.3

Step-by-step explanation:

20/100 x 6 5/10 =

1 3/10

Hopes this helps

3 0
3 years ago
How many inches are in 13 feet
Dmitriy789 [7]
156 inches are in 13 feet
4 0
3 years ago
Read 2 more answers
PLEASE HELP WITH MATH.BEST ANSWER GETS BRAINLIEST. You have to find the volume of the figure below.
castortr0y [4]
Volume = width × height × length. First let's concentrate on the rectangular prism. This has 4 for its height and 5 for its width so you do 4 × 5 (=20) × 10 (because the length of the rectangular prism is the same as the triangular prism, so we will use the length of the triangular one) = 200m³ for the rectangular one. To work out the triangular one, it's the same, but whatever answer you get you divide it by 2 because a triangle is just a rectangle cut in half diagonally. Therefore, 3 × 5 (=15) × 10 = 150. Then divided by 2 = 75m³. Total volume = volume of rectangular prism + triangular prism Therefore total volume = 200 + 75 = 275m³.
6 0
3 years ago
Point G is located at (6, 2) on the coordinate plane. Point G is reflected over the y -axis to create point G^ prime . What orde
Lilit [14]

Answer:

The ordered pair that best describes the location of G' is (-6,2).

Step-by-step explanation:

Reflecting a point over the y-axis:

When a point (x,y) is reflected over the y-axis, it's x coordinate is multiplied by -1, while the y-coordinate stays the same. Thus:

(x,y) -> (-x,y).

Point G is located at (6, 2)

When reflected over the y-axis:

G'(-6,2).

The ordered pair that best describes the location of G' is (-6,2).

5 0
2 years ago
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