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2 years ago

I need answers for this.

Mathematics

1 answer:

Pachacha [2.7K]2 years ago

7 0

Answer:

2((4a +1) +8) cm
8a +18 cm
8a +18 = 42

Step-by-step explanation:

For the first line, you are copying the dimensions from the figure to the blanks. The dimensions on the figure are (4a +1), and (8), both in centimeters. When you have filled in that line, it will read ...

2((4a +1) +8) cm

For the second line, you must collect terms and use the distributive property to eliminate parentheses from the above expression.

2((4a +1) +8) cm = 2(4a +9) cm = 2(4a) +2(9) cm

= 8a +18 cm

The third line simply sets this expression equal to the given perimeter, 42:

8a +18 = 42

_____

Additional comment

To solve this equation, you can subtract 18 from both sides:

8a +18 -18 = 42 -18

8a = 24 . . . . . . . . . . . simplify

Then divide both sides by 8.

8a/8 = 24/8

a = 3

Finally, the length of the rectangle is ...

4a +1 = 4(3) +1 = 12 +1 = 13

The rectangle is 13 cm long and 8 cm high. Its perimeter is ...

2(13 +8) = 2(21) = 42 . . . cm

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Jordan was given the expression 2x2^-3 x 2^-5 How should he write the expression as a fraction? Describe the exponent rules Jord

mariarad [96]

Answer:

$2*2^{-3} * 2^{-5} =\frac{1}{128}$

Step-by-step explanation:

Given

$2*2^{-3} * 2^{-5}$

Required

Write as a fraction

To do this, Jordan has to apply the following rules

Negative Exponent rule:

$a^{-m} = \frac{1}{a^m}$

So, the expression is:

$2*2^{-3} * 2^{-5} = \frac{2}{2^3 * 2^5}$

To solve further, we apply the product rule of exponent

$a^m * a^n = a^{m+n}$

So, the expression is:

$2*2^{-3} * 2^{-5} =\frac{2}{2^{3+5}}$

$2*2^{-3} * 2^{-5} =\frac{2}{2^8}$

Evaluate the exponents

$2*2^{-3} * 2^{-5} =\frac{2}{256}$

Divide the numerator and denominator by 2

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$2*2^{-3} * 2^{-5} =\frac{1}{128}$

4 0

3 years ago

Lines a and b are parallel. When they are cut by transversals, they form a triangle Parallel lines a and b are cut by transversa

lord [1]

Answer:

Therefore, the angle 3 have 28 degrees.

Step-by-step explanation:

We know that the lines a and b are parallel. When they are cut by transversals, they form a triangle. Parallel lines a and b are cut by transversals s and t to form a triangle. Angle 1 is 90 degrees, angle 2 is 62 degrees.

We know that the number of degrees in a triangle equals 180.

We get:

$90+62+x=180\\\\152+x=180\\\\x=180-152\\\\x=28\\$