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Reika [66]
3 years ago
10

Select all the true statements.

Mathematics
1 answer:
fiasKO [112]3 years ago
3 0

Answer:

C and D are are the true statements

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Two sets of three consecutive integers have a property that the product of the larger two is
skelet666 [1.2K]

Answer:

{1, 2, 3},  {3, 4, 5}

Step-by-step explanation:

Write expressions for three consecutive integers:  n, n + 1, n + 2.

Set up an equation for the verbal description: the product (mulitplication) of the two larger integers (the last two) is one less than 7 times the smallest (the first one).

(n + 1)(n + 2) = 7n - 1

Multiply (FOIL) the left side.

n^2 + 3n + 2 = 7n - 1

Subtract 7n and subtract 1 to make the right side 0.

n^2 - 4n + 3 = 0

Factor.

(n - 1)(n - 3) = 0

Set the two factors equal to 0

n - 1 = 0,  n - 3 = 0

Solve for n.

n = 1,  n = 3

One set of integers begins with 1, so it's {1, 2, 3}.

The other set begins with 3, so it's {3, 4, 5}

5 0
3 years ago
Que How does your tessellation with triangles relate to hexagons and tessellating the plane? Type your response in the space bel
madreJ [45]

For a regular tessellation, the shapes can be duplicated infinitely to fill a plane such that there is no gap. The only shapes that can form regular tessellations are equilateral traingle(all sides are equal. This means that it can be turned to any side and it would remain the same), square and regular hexagon. Looking at the given options, we have

Shape Tessellate?

Octagon No

Hexagon Yes

Pentagon No

Square Yes

Triangle No(unless it is specified that it is an equilateral triangle)

5 0
1 year ago
Which of these scales are equivalent to 3 cm to 4 km?
satela [25.4K]

Answer: The answer is A and D

3 0
3 years ago
What are the solutions to the equation -5x2 + 3x = -9
Aleks04 [339]

Answer: Move terms to the left side−52+3=−9−5x2+3x=−9−52+3−(−9)=0−


Common factor−52+3+9=0−5x2+3x+9=0−(52−3−9)=0


Divide both sides by the same factor−(52−3−9)=0−(5x2−3x−9)=052−3−9=0


Solution=3±321 over 10

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
angle 0 is in quadrant 1 with sin0 = 2/5. Use the Pythagorean identity, sin^2 0 + cos^2 0 = 1, to calculate the value of cos0 as
Gwar [14]
We know that
sin²x+cos²x=1
so 
clear cos x
cos x=(+/-)√[1-sin²x]

in this problem
<span>Angle 0 is in quadrant 1 -----> cos o and sin o are positive
</span>sin o=2/5
cos x=√[1-(2/5)²]----> cos o=√[1-4/25]----> cos o=√[21/25]---> cos o=√21/5

the answer is
cos o=√21/5

7 0
3 years ago
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