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suter [353]
3 years ago
10

20 POINTS HELP DUE IN AN HOUR

Mathematics
1 answer:
muminat3 years ago
5 0

-√5 ≈ -2.23 . . . . calculator

There are many ways to describe the result of a comparison of numbers: difference, percentage difference (using either as a base), greater/less than, ratio, and more.

We'll take the simplest, and say

... -1.96312 > -√5

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What is the area of the triangle?
Roman55 [17]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
A quadratic equation is shown below:
Valentin [98]
Part A)

The given equation is:

25 x^{2} +10x+1=0

The radicand or discriminant(d) of the equation will be:

d=(10)^{2}-4(25)(1) \\  \\ 
d=100-100 \\  \\ 
d=0

Since the discriminant is equal to 0, the given quadratic equation has only 1 root. In other words we can say the the given equation is a perfect square. 


Part B)

The given equation is:

4 x^{2} -4x+1=0

We can solve this expression by factorization. Factors of middle term are to be made in such a way that their product equals the product of first and third term and sum is equal to the middle term i.e. product should be 4x² and sum should be -4x.
So the two such terms are -2x and -2x. Using the factors and simplifying the equation by taking common we get:

4 x^{2} -2x-2x+1=0 \\  \\ 
2x(2x-1)-1(2x-1)=0 \\  \\ 
(2x-1)(2x-1)=0 \\  \\ 
(2x-1) ^{2}=0 \\  \\ 
2x-1=0  \\  \\ 
x= \frac{1}{2}
4 0
3 years ago
Consider isosceles ΔXYZ.
Rom4ik [11]

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The length of the legs XY and YZ is equal to 39 units.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°. An isosceles triangle has two sides out of three equal.

A.) The value of n can be found by equating XY and XZ together,

XY = XZ

9n + 12 = 15n - 6

12 + 6 = 15n - 9n

18 = 6n

n = 3

Hence, the value of n is 3.

The length of different legs of the triangle is,

B.) XY = 9n + 12 = 9(3) + 12 = 27 + 12 = 39

C.) YZ = 15n - 6 = 15(3) - 6 = 45 - 6 = 39

Hence, the length of the legs XY and YZ is equal to 39 units.

Learn more about Triangle:

brainly.com/question/2773823

#SPJ1

6 0
2 years ago
Given the graph and the equation y= (x + 3) - 2, which one has the smaller minimum and by how mucha
aev [14]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
How long will it take Birr 500
notka56 [123]

It would take 25 years for Birr 500 to quadruple if invested at a rate of 12% simple interest per annum.

<h3 /><h3>Simple interest formula</h3>

Using the simple interest formula A = P(1 + rt) where

  • P = princial amount = Birr 500,
  • A = final amount = 4P (since it is quadrupled),
  • r = rate = 12% = 12/100 = 0.12 and
  • t = time to quadruple
<h3 /><h3>Finding the time it takes to quadruple </h3>

Since we require t, making t subject of the formula, we have

t = [(A/P) - 1]/r

Substituting the values of the variables into the equation, we have

t = [(A/P) - 1]/r

t = [(4P/P) - 1]/0.12

t = [4 - 1]/0.12

t = 3/0.12

t = 25 years

So, it would take 25 years for Birr 500 to quadruple if invested at a rate of 12% simple interest per annum.

Learn more about simple interest here:

brainly.com/question/25793394

4 0
3 years ago
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