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lapo4ka [179]
4 years ago
12

Triangle DEF is a right triangle. If FE = 24 and DE = 7, find DF 62 168 25 625

Mathematics
2 answers:
Vanyuwa [196]4 years ago
5 0
We are asked to solve for the value of DF in a given right triangle Δ DEF with sides measurements such as FE = 24 unit and DE = 7 unit. Since this is a right triangle, we can apply the Pythagorean theorem in solving the problem and the solution is shown below:
c² = a² + b²
FD² = FE² + DE²
Substitute the given measurements, we have:
DF² = 24² + 7²
DF² = 576 + 49
DF² = 625
DF = √625
DF = 25

The answer is 25 units for the DF measurement.

FinnZ [79.3K]4 years ago
5 0

I do agree with what was said. DF= 25

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lora16 [44]

On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2) and to the left of the line is shaded.

<h3>What are the characteristics of the graph of the inequality?</h3>

Inequality of a graph is represented with the greater then(<), less then(>) or with the other inequity signs. The inequality line on the graph is represented with the dotted lines.

Characteristics of the graph of the inequality-

  • Open circle-When the value of the variable is equal to the given number, then the graph of the inequality has an open circle.
  • Closed circle-When the value of the variable is not equal to the given number, then the graph of the inequality has a closed circle.
  • The ray will move to the right-When the, value of the variable is greater than the number, then the ray will move to the right.
  • The ray will move to the left-When the value of the variable is less than the number, then the ray will move to the left.

The linear inequality given in the problem is,

2x - 3y < 12

The graph of this line is attached below. Here, for the greater than sign, every thing on the left of the graph is shaded, and the line will be dotted because of inequality as shown in the attached image.

Hence, on a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2) and to the left of the line is shaded.

Learn more about the characteristics of graph of the inequality here;

brainly.com/question/62792

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6 0
2 years ago
Graph the equations....
Marianna [84]
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(20)</span><span><span>m=−<span>23</span>,</span><span>b=1</span> where m is the slope and b is the <span>y-intercept
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7 0
3 years ago
Express<br><br> 2x^2+3x/(2x+3)(x-2) - 6/x^2-x-2 <br><br> As a single fraction in its simplest form.
Dmitry [639]

Answer:

(x + 3)/(x + 1) .

Step-by-step explanation:

2x^2 + 3x/(2x + 3)(x - 2) - 6 /x^2 - x - 2

= 2x^2 + 3x/(2x + 3)(x - 2) - 6 / (x - 2)(x + 1)

The LCM is (2x + 3)(x - 2)(x + 1) so we have

(2x^2 + 3x)(x + 1) - 6(2x + 3)          x( 2x + 3)(x + 1) - 6(2x + 3)

--------------------------------------- =        ------------------------------------

    (2x + 3)(x - 2)(x + 1)                         (2x + 3)(x - 2)(x + 1)


       (2x + 3)(x(x + 1) - 6)           (2x + 3)(x - 2)(x + 3)

=    ----------------------------  =       ---------------------------     =  (x + 3)/(x + 1)

     (2x + 3)(x - 2)(x + 1)             (2x + 3)(x - 2)(x + 1)  

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4 years ago
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7 0
4 years ago
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If no digit may be used more than once, how many 5-digit numbers can be formed using only the digits 3, 8, 1, 2, 5, and 7?
Margaret [11]

The number of permutations of m(0\leq m\leq n) objects from n objects is

P(m,n)=\frac{n!}{(n-m)!}

Here 5 digits are chosen from 6 digits without replacement (order important).

The number of 5 digit numbers that can be formed is

\frac{6!}{(6-5)!} =6!=720

5 0
3 years ago
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