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3 years ago

Please and thank youuuuuu! :)

Mathematics

2 answers:

lesantik [10]3 years ago

6 0

<h3><u>Answer:</u></h3>

The slope is 4.

<h3><u>Step-by-step explanation:</u></h3>

We know the slope intercept formula. Using the formula, we can find the slope.

Formula: y = mx + b
Given equation: y = 4x - 6
m = Slope
b = y-intercept

Now, let's compare both equations to find out what is the slope.

=> y = mx + b

y = 4x - 6

<h3><u>Conclusion:</u></h3>

We can clearly see that m is replacing with 4. That basically means the slope is 4.

Hoped this helped.

$-BrainiacUser1357-$

denis-greek [22]3 years ago

4 0

Answer:

The slope = 4

Step-by-step explanation:

Have a Nice day!

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If side A is twice as long as B and C is 25 using the Pythagorean Theorem,What are the lengths of side A and B? Round to the nea

777dan777 [17]

Answer:

<u>The lengths of side A is 22.4 and B is 11.9</u>.

Step-by-step explanation:

Given:

If side A is twice as long as B and C is 25 using the Pythagorean Theorem.

Now, to find the lengths of side A and B.

Let the side B be $x.$

So, the side A be $2x.$

Side C = 25.

Now, to solve by using Pythagorean Theorem:

A² + B² = C²

$(2x)^2+(x)^2=(25)^2$

$4x^2+x^2=625$

$5x^2=625$

<em>Dividing both sides by 5 we get:</em>

$x^2=125$

<em>Using square root on both sides we get:</em>

$x=11.18.$

<u>B rounding to the nearest tenth = 11.9.</u>

Now, to get A by substituting the value of $x$ :

$2x\\=2\times 11.18\\=22.36.$

<u>A rounding to the nearest tenth = 22.4.</u>

Therefore, the lengths of side A is 22.4 and B is 11.9.

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3 years ago

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Aloiza [94]

<span>Scientific notation is the way that scientists easily handle very large numbers or very small numbers. Scientific notation is written by writting a decimal number between 1 and 10 together with an exponent of 10.

Given
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First, using distributive property of numbers, seperate the decimal numbers and the exponents of 10, we have
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Because, scientific notation requires that the decimal number part be a number between 1 and 10, we move the decimal point 1 place foward and subtract 1 from the exponent of 10.

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in standard notation is
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3 years ago

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Black_prince [1.1K]

Answer:

171/40 or 4 11/40

Step-by-step explanation:

<h3>AP given</h3>

a + b, a - b, ab, a/b

6th term

<h3>Solution</h3>

Common difference

<u>Difference of first two</u>

d = (a -b) - (a + b) = -2b

<u>Difference of second two</u>

d= ab - (a - b)

<u>Difference of last two</u>

d = a/b - ab

<u>Now comparing d:</u>

-2b = ab - (a - b)
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a(1/b - b) = -2b
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<u>Eliminating a:</u>

2b²/(b² - 1) = 3b/(1 - b)
2b/(b+1) = -3
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a = 3b/(1 - b) =
3*(-3/5) *1/(1 - (-3/5)) =
-9/5*5/8 =
-9/8

<u>So the first term is:</u>

a + b = -3/5 - 9/8 = -24/40 - 45/40 = - 69/40

<u>Common difference:</u>

d = -2b = -2(-3/5) = 6/5

a₆ = a₁ + 5d =
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