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3 years ago

If a+1,2a+1,4a-1 are in A.P, then the value of a is

Mathematics

1 answer:

Digiron [165]3 years ago

6 0

Answer:

a = 2

Step-by-step explanation:

In an AP the difference between consecutive terms is common (equal), thus

t₂ - t₁ = t₃ - t₂ , that is

2a + 1 - (a + 1) = 4a - 1 - (2a + 1) ← distribute and simplify both sides

2a + 1 - a - 1 = 4a - 1 - 2a - 1

a = 2a - 2 ( subtract 2a from both sides )

- a = - 2 ( multiply both sides by - 1 )

a = 2

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4p - 5 = 19 i need the steps to solve it

stiks02 [169]

Answer:

Hi, there your answer will be p=6

Step-by-step explanation:

Step 1: Add 5 to both sides.

4p−5+5=19+5

4p=24

Step 2: Divide both sides by 4.

$\frac{4p}{4} =\frac{24}{4}$

p=6

7 0

2 years ago

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4/5 divided by 1/3 plus 1/5 minus 3/5

r-ruslan [8.4K]

Answer:

$\frac{\frac{4}{5}}{\frac{1}{3}+\frac{1}{5}-\frac{3}{5}}=-12$

Step-by-step explanation:

Considering the expression

$\frac{\frac{4}{5}}{\frac{1}{3}+\frac{1}{5}-\frac{3}{5}}$

Solution Steps:

$\frac{\frac{4}{5}}{\frac{1}{3}+\frac{1}{5}-\frac{3}{5}}$

$\mathrm{Combine\:the\:fractions\:}\frac{1}{5}-\frac{3}{5}:\quad -\frac{2}{5}$

$=\frac{\frac{4}{5}}{\frac{1}{3}-\frac{2}{5}}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{b}{c}}{a}=\frac{b}{c\:\cdot \:a}$

$=\frac{4}{5\left(\frac{1}{3}-\frac{2}{5}\right)}$

join $\frac{1}{3}-\frac{2}{5}:\quad -\frac{1}{15}$

$=\frac{4}{5\left(-\frac{1}{15}\right)}$

$\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a$

$=\frac{4}{-5\cdot \frac{1}{15}}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}$

$=-\frac{4}{5\cdot \frac{1}{15}}$

$\mathrm{Multiply\:}5\cdot \frac{1}{15}\::\quad \frac{1}{3}$

$=-\frac{4}{\frac{1}{3}}$

$\mathrm{Simplify}\:\frac{4}{\frac{1}{3}}:\quad \frac{12}{1}$

$=-\frac{12}{1}$

$\mathrm{Apply\:rule}\:\frac{a}{1}=a$

$=-12$

Therefore

$\frac{\frac{4}{5}}{\frac{1}{3}+\frac{1}{5}-\frac{3}{5}}=-12$

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3 years ago

I give brainliest!!!<br> Can someone tell me what a radical is

wariber [46]

A radical is also known as a square root. An example of a radical is √25 or ∛36.

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3 years ago

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What is X to the third power plus 125?

iren [92.7K]

Here is your answer wish you the best of luck

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3 years ago

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Use a geometric formula to solve the problem. A rectangle has a width of 4 centimeters and a perimeter of 26 centimeters. Find t

AURORKA [14]

The length is 9.

The formula to find the perimeter of a rectangle is

2L + 2W = P.

2L + 2(4) = 26.

2L + 8 = 26.

2L + 8 (-8) = 26 (-8).

2L = 18.

2L/2 = 18/2.

L = 9.

8 0

3 years ago