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1 year ago

Succesive approximation

Mathematics

1 answer:

borishaifa [10]1 year ago

3 0

The Approximate the solution to the equation using three iterations of successive approximation is option b: 27/8.

<h3>What is the iterations about?</h3>

In the equation given:

Note that:

x²-3x+2 = square root √x-2 + 2

Therefore:

x⁴-6x³+9x²= square root x-2

x² = 3.375

Convert 3.35 into fractions and will get 27/8. So, The Approximate the solution to the equation using three iterations of successive approximation is option b: 27/8.

Learn more about Successive approximation from

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How many solutions does the equation -9(x+6)=-9x+108 have?

elixir [45]

Answer:

No solution

Step-by-step explanation:

Simplify the equation to solve for x.

-9(x+6)=-9x+108 Distribute

-9x-54=-9x+108 Combine like terms

+9x +9x

0-54=108 Combine like terms

+54 +54

0=162 No solution

4 0

3 years ago

ANSWER ASAP!! Find the area of a triangle with legs that are: 12 m, 15 m, and 9 m.

Setler79 [48]

Answer:

Step-by-step explanation:

<h3>METHOD 1:</h3>

You can use the Heron's formula:

$A=\sqrt{p(p-a)(p-b)(p-c)}$

where

<em>p</em><em> - half of perimeter</em>

<em>a, b, c</em><em> - lengths of sides</em>

We have

$a=12m;\ b=15m;\ c=9m$

Calculate:

$p=\dfrac{12+15+9}{2}=\dfrac{36}{2}=18\ (m)\\\\A=\sqrt{18(18-12)+(18-15)(18-9)}\\\\A=\sqrt{(18)(6)(3)(9)}\\\\A=\sqrt{2916}\\\\A=54\ (m^2)$

<h3>METHOD 2:</h3>

Let's check that it is not a right triangle.

If the sum of the squares of the two shorter sides is equal to the square of the longest side, then this triangle is rectangular.

We have

$9m < 12m$

Check:

$9^2+12^2=81+144=225\\15^2=225$

This is a right trianglr wherew 9m and 12m are legs and 15m is a hypotenuse.

The formula of an area of a right triangle is:

$A=\dfrac{ab}{2}$

Substitute:

$A=\dfrac{(9)(12)}{2}=\dfrac{108}{2}=54\ (m^2)$

6 0

3 years ago

PLEASE HELPPP!!!!!!!

Rudik [331]

The answer is 11 because if you look at the chart. You can see everything can be divided by 8 and 88 divided by 8 is 11.

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2 years ago

To rent a certain meeting room, a college charges a reservation fee of $19 and an additional fee of $4 per hour. The chemistry c

prisoha [69]

Answer:

t = 5

Step-by-step explanation:

$19 + 4t = 39$
$4t = 20$ Subtract 19 from 39
$\frac{4t}{4} = \frac{20}{4}$ Divide by 4
$t = 5$

6 0

3 years ago

Write an equation in standard form of a line that passes through (4, 2) and is parallel to y = - 3/4 * x - 5 .

Bingel [31]

Answer:

y=2x+y-int

Step-by-step explanation:

If the line is parallet to the defined by the given equation the slope of the unknown line is m=2.

Use this value of slope to calculate the y intercept. 2 = ( 2 - y-int)/4 - 0)

THus, your equation is y = 2x + y-int

5 0

2 years ago