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3 years ago

1,49,1625,3649,..... what is the next term in this series?

1 answer:

3 0

The series would be look like this with adding the next number
1,49,1625,3649,6481

The key to get this number is concatenate two consecutive squares together for each term.

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Simplify each expression. Use positive exponents. A^4b^-3 ab^-2

choli [55]

$\dfrac{a^4b^{-3}}{ab^{-2}}$

$= {a^{4-1}b^{-3+2}}$

$= {a^{3}b^{-1}}$

$= \dfrac{a^3}{b}$

6 0

3 years ago

Read 2 more answers

What type of triangle is formed by joining the points D(7, 3), E(8, 1), and F(4, -1)?

attashe74 [19]

$D(7,3) \\
E(8,1) \\
F(4,-1)$

The lengths of the sides of the triangle:
$\overline{DE}=\sqrt{(8-7)^2+(1-3)^2}=\sqrt{1^2+(-2)^2}=\sqrt{1+4}=\sqrt{5} \\ \\
\overline{DF}=\sqrt{(4-7)^2+(-1-3)^2}=\sqrt{(-3)^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5 \\ \\
\overline{EF}=\sqrt{(4-8)^2+(-1-1)^2}=\sqrt{(-4)^2+(-2)^2}=\sqrt{16+4}=\sqrt{20}= \\
=\sqrt{4 \times 5}=2\sqrt{5}$

No sides are equal to each other, so it's a scalene triangle.

Check if the sides satisfy the Pythagorean theorem:
$(\sqrt{5})^2 + (2\sqrt{5})^2=5^2 \\
5+20=25 \\
25=25 \\
true$
They do, so it's a right triangle.

The triangle is a right scalene triangle.

7 0

3 years ago

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Is 56/72 and 7/9 proportional

Andreas93 [3]

Answer:

Yes. They are proportional.

Step-by-step explanation:

$\frac{56}{72} =\frac{7}{9}$

$0.777=0.777$

The left side 0.777 is equal to the right side 0.777, which means that the given statement is always true.

True

4 0

2 years ago

To convert 345 millimeters to liters,which proportion should I use?

Usimov [2.4K]

I think number 2 not sure tho

3 0

3 years ago

The measure of an angle that is its own supplement is

kipiarov [429]

Answer: 90 degrees

============================

Explanation:

Let x and y be the two angles. Because they are supplementary angles, this means x+y = 180. Also since we're told that the angle is its own supplement, we can say that y = x.

Consequently, we can replace y with x and solve for x like so:

x+y = 180

x+x = 180 .... y is replaced with x since y = x

2x = 180

2x/2 = 180/2

x = 90

This means y = 90 as well. As a check, note how

x+y = 90+90 = 180

which verifies our answer.

7 0

3 years ago

Read 2 more answers