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Solnce55 [7]
3 years ago
9

4.0681 to the nearest thousand

Mathematics
1 answer:
Neporo4naja [7]3 years ago
5 0
4.068 is the answer to it
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X^{2} - 8x + 7 = 0<br> Solve by completing the square. Also can you include steps?
iren [92.7K]

Answer:

{1, 7}

Step-by-step explanation:

Start with x^2 - 8x + 7 = 0.

We want to modify the first two terms to resemble x^2 - ax + b - b, where a is the coefficient (here -8) of the x term and b is the square of half of a.

Here, a = -8.  Half of that is -4.  The square of -4 is 16, and this is the value of b.

Write out x^2 - 8x     as    x^2 - 8x + 16 - 16.  This is the perfect square of -4, added to x^2 - 8x and then subtracted from the result

Then the original equation, x^2 - 8x + 7 = 0, can be rewritten as:

x^2 - 8x + 16 - 16 + 7 = 0, and then as (x - 4)^2 - 9, or (x - 4)^2 = 9.

We want to solve this result for x.  To do this, take the square root of both sides:

x - 4 = ±√9, or x - 4 = ±3.

Adding 4 to both sides, we get:

x = 4 ± 3.  Thus, the solutions are x = 4 + 3 = 7 and x = 4 - 3 = 1.

6 0
3 years ago
Read 2 more answers
a ladder 6m long leans against the wall of house if the foot of the ladder makes an angle 58 degree with tye ground how far is t
Vedmedyk [2.9K]

Answer:

The base of the ladder is 3.2 meters far from the wall.

Step-by-step explanation:

We need to calculate the base of a right triangle. The given information is:

h: hypotenuse = length of the ladder = 6 m      

b: is the base =?

θ: is the angle between the hypotenuse and the base = 58°

To find the base we can use the following trigonometric equation:

cos(\theta) = \frac{b}{h}

b = cos(\theta)*h = cos(58)*6 = 3.2 m

Therefore, the base of the ladder is 3.2 meters far from the wall.

I hope it helps you!

4 0
3 years ago
If m∠5 = 115 degrees, find m∠1 =
lana66690 [7]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Question 1. If m∠5 = 115 degrees, find m∠1 = 115°

because they form corresponding Angle pair

Question 2. If m∠7 = 30 degrees, find m∠2 = 30°

because they form Alternate Exterior angle pair

Question 3. If m∠6 = 50 degrees, find m∠4 = 50°

because they form Alternate Interior Angle pair

Question 4. If m∠4 = 72 degrees, find m∠1 = 108°

because they form linear pair, their sum = 180°

  • Angle 4 + Angle 1 =180°

  • Angle 1 = 180° - Angle 4

  • Angle 1 = 180° - 72°

  • Angle 1 = 108°
4 0
2 years ago
Please help me. I don’t understand this at all...
mylen [45]
Problem 1

With limits, you are looking to see what happens when x gets closer to some value. For example, as x gets closer to x = 2 (from the left and right side), then y is getting closer and closer to y = 1/2. Therefore the limiting value is 1/2

Another example: as x gets closer to x = 4 from the right hand side, the y value gets closer to y = 4. This y value is different if you approach x = 0 from the left side (y would approach y = 1/2)

Use examples like this and you'll get the results you see in "figure 1"

For any function values, you'll look for actual points on the graph. A point does not exist if there is an open circle. There is an open circle at x = 2 for instance, so that's why f(2) = UND. On the other hand, f(0) is defined and it is equal to 4 as the point (0,4) is on the function curve.

=======================================================

Problem 2

This is basically an extension of problem 1. The same idea applies. See "figure 2" (in the attached images) for the answers. 

6 0
3 years ago
The most accurate definition of a multiplicand is the A. person responsible for the multiplication work. B. answer to a multipli
Lerok [7]

Answer:

d?

Step-by-step explanation:

5 0
3 years ago
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