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3 years ago

For what value of a does (1/9)a+1 =81a+1 272-a?

Mathematics

1 answer:

AlexFokin [52]3 years ago

8 0

Answer:

-4

Step-by-step explanation:

$\left( \dfrac{1}{9}\right)^{a+1}= 81^{a+1}\cdot 27^{2-a}\\\\\\(3^{-2})^{a+1}=(3^4)^{a+1}\cdot (3^3)^{2-a} \\\\\\3^{-2a-2}=3^{4a+4}\cdot 3^{6-3a} \\\\\\3^{-2a-2}=3^{a+10} \\\\\\-2a-2=a+10 \\\\\\-3a=12 \\\\\\a=-4$

Hope this helps!

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If the radius of a circle is 5 m what is the area up to the nearest tenth

USPshnik [31]

Answer:79

Step-by-step explanation:

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2 years ago

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Which of the following equations have a solution of y = 8?

VARVARA [1.3K]

Answer:I need help with this so that’s why I looked it up

Step-by-step explanation:

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2 years ago

I need help ASAP. Thank you :)

kvasek [131]

m∠FDE = 52°

Solution:

Given data:

DE ≅ DF, CD || BE, BC || FD and m∠ABF = 116°

Sum of the adjacent angles in a straight line = 180°

m∠ABF + m∠CBF = 180°

116° + m∠CBF = 180°

m∠CBF = 64°

If CD || BE, then CD || BF.

Hence CD || BE and BE || FD.

Therefore BFCD is a parallelogam.

In parallelogram, Adjacent angles form a linear pair.

m∠CBF + m∠BFD = 180°

64° + m∠BFD = 180°

m∠BFD = 116°

Sum of the adjacent angles in a straight line = 180°

m∠BFD + m∠DFE = 180°

116° + m∠DFE = 180°

m∠DFE = 64°

we know that DE ≅ DF.

In triangle, angles opposite to equal sides are equal.

m∠DFE = m∠DEF

m∠DEF = 64°

sum of all the angles of a triangle = 180°

m∠DFE + m∠DEF + m∠FDE = 180°

64° + 64° + m∠FDE = 180°

m∠FDE = 52°

8 0

3 years ago

Which statement below about roots is false.Immersive Reader (5 Points) Simplified radicals have a positive and a negative root.

scoray [572]

Answer:

Statement (B)

Step-by-step explanation:

Which statement below about roots is false?

Let's arrange the statements by assigning option-letters a, b, c, d to them.

(A) Simplified radicals have a positive and a negative root.

This is true, as the root of any number is either a positive or a negative; especially if the rooting index is an even number like 2 or 4. For example, the square root (when the index is 2) of 9 is either +3 or -3. To check, find their squares. +3 x +3 = 9 and -3 x -3 = 9.

(B) A radicand is the symbol used when working with roots.

This statement is false, as the name for the symbol used in root operations is "radical symbol". A radicand is the number or expression whose roots are about to be found. It is the expression that lies under or inside the radical symbol!

Exponents are the powers to which mathematical expressions are raised. Roots are the indexes by which mathematical expressions are divided. Exponents are hence the opposites or inverses of roots.

(D) Roots can be squared, cubed, quadrupled, or raised to higher powers.

Yes! The root of a mathematical expression or figure can be raised to any number or power, be it 2 (square), 3 (cube), 4 (quadruple), 5 (quintuple) or 100 (cent).

4 0

3 years ago

The sum of 5 consecutive odd integers is 2,555. What is the sum of the first, third, and last integer?

Lilit [14]

Answer:

The sum of the first, third, and last integer is 1533.

Step-by-step explanation:

Step 1: You need to create a equation first:

n + n + 2 + n + 4 + n + 6 + n + 8 = 2555

How did I make the equation?

If n is odd number, n + 2 must be the consecutive odd number

5 , 5 + 2 , 5 + 4 , 5 + 6 , 5 + 8

5, 7, 9, 11, 13 ALL CONSECUTIVE ODD NUMBERS

Step 2: Simplifying the equation

n + n + 2 + n + 4 + n + 6 + n + 8 = 2555

5n + 20 = 2555

Step 3: Solving the equation, with explanation

5n + 20 = 2555 Subtract 20 on both sides

5n = 2535 Isolate the variable by dividing 5 on both sides

n = 507

Step 4: Plug in the value

n + n + 2 + n + 4 + n + 6 + n + 8

507, 507 + 2 , 507 + 4 , 507 + 6 , 507 + 8

507, 509, 511, 513, 515

Step 5: Solve the sum of the first, third, and last integer

507 + 511 + 515 = 1533

Step 6: THE ANSWER

1533

<h3>Hope this helps!!! </h3><h3>Please mark this as brainliest!!! </h3><h3>Thank You!!! </h3><h3>:)</h3>

8 0

3 years ago