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Anuta_ua [19.1K]
2 years ago
12

Help me with this!!!!

Mathematics
2 answers:
sdas [7]2 years ago
7 0

Answer:

IJ = 34

Step-by-step explanation:

Since HK = JK, then IK is a perpendicular bisector and Δ is isosceles, then

IJ = HI , that is

2s = s + 17 ( subtract s from both sides )

s = 17

Then

IJ = 2s = 2 × 17 = 34

serious [3.7K]2 years ago
4 0
IJ=34 hope is helps have a nice day
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Solve for equation √-5p=√24-p
blsea [12.9K]

Answer:


Step-by-step explanation:

Algebra Calculator | Latest | Discuss | About | Help | Translation

25,219,829 solved | 850 online

p2-5p-24=0  

Two solutions were found :

    p = 8

    p = -3  

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "p2"   was replaced by   "p^2".  

Step by step solution :

Step  1  :

Trying to factor by splitting the middle term

1.1     Factoring  p2-5p-24  

The first term is,  p2  its coefficient is  1 .

The middle term is,  -5p  its coefficient is  -5 .

The last term, "the constant", is  -24  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -24 = -24  

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   -5 .

      -24     +     1     =     -23  

      -12     +     2     =     -10  

      -8     +     3     =     -5     That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -8  and  3  

                    p2 - 8p + 3p - 24

Step-4 : Add up the first 2 terms, pulling out like factors :

                   p • (p-8)

             Add up the last 2 terms, pulling out common factors :

                   3 • (p-8)

Step-5 : Add up the four terms of step 4 :

                   (p+3)  •  (p-8)

            Which is the desired factorization

Equation at the end of step  1  :

 (p + 3) • (p - 8)  = 0  

Step  2  :

Theory - Roots of a product :

2.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

2.2      Solve  :    p+3 = 0  

Subtract  3  from both sides of the equation :  

                     p = -3

Solving a Single Variable Equation :

2.3      Solve  :    p-8 = 0  

Add  8  to both sides of the equation :  

                     p = 8

8 0
3 years ago
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angl
Alenkinab [10]

The sum of the angle 5 and angle 6 is 180 degrees. Then the correct option is C.

<h3>What is Supplementary angle?</h3>

When two angles are said to be supplementary angles if their sum is 180 degrees.

A triangle is shown with its exterior angles.

The interior angles of the triangle are angles 2, 3, 5.

The exterior angle at angle 2 is angle 1.

The exterior angle at angle 3 is angle 4.

The exterior angle at angle 5 is angle 6.

We know that the sum of interior and exterior angle of the triangle is 180 degrees.

∠1 + ∠2 = 180°

∠3 + ∠4 = 180°

∠5 + ∠6 = 180°

Then the correct option is C.

More about the Supplementary angle link is given below.

brainly.com/question/15767203

#SPJ1

3 0
2 years ago
Write 9.36( repeating) as a mixed number in simplest form.
Deffense [45]

Answer:

Step-by-step explanation:

9.36 is 9 9/25

3 0
2 years ago
Jonathon's Yo-Yo has a string that is three and a half feet long. If Jonathon cuts six inches off of the string, how many feet w
earnstyle [38]
1 ft= 12 inches
1/2 ft= 6 inches

=3 1/2 feet - 6 inches
substitute # of inches in for 1/2 foot
=3 ft 6 inches - 6 inches
=3 feet

ANSWER: 3 feet

Hope this helps! :)
7 0
3 years ago
Graph the system of equation below on a piece of paper what is the solution y=x-1 and y=-2x+5
ANTONII [103]

We are given

First equation:

y=x-1

we can use formula

y=mx+b

slope is m=1

y-intercept is b=-1

Second equation:

y=-2x+5

we can use formula

y=mx+b

slope is m=-2

y-intercept is b=5

Graph:

We can see that

both curves intersect at (2,1)

so, solution is x=2 and y=1.................Answer

6 0
3 years ago
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