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Doss [256]
2 years ago
5

Translate the situations into equations and solve

Mathematics
1 answer:
AlekseyPX2 years ago
8 0
Let the three sides be: x, %28x%2B2%29, %28x%2B4%29
then the perimeter:
p+=+x+%2B+%28x%2B2%29+%2B+%28x%2B4%29
p+=+3x+%2B+6
- the longest side is it is 22 units shorter than the perimeter, so you will have
%283x%2B6%29+-+%28x%2B4%29+=+22
3x+%2B+6+-+x+-+4+=+22
2x+%2B+2+=+22
2x+=+22+-+2
2x+=+20
x+=+10, ........the shortest side
then
10+%2B+4+=+14 units is the longest side
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Determine the discriminant for the quadratic equation 0 = –2x2 + 3. Based on the discriminant value, how many real number soluti
Margarita [4]

we know that

In a quadratic equation of the form ax^{2}+bx+c=0 the discriminant is equal to

(b^{2} -4ac)

if  (b^{2} -4ac)> 0 -------> the equation has two real number solutions

if  (b^{2} -4ac)= 0 -------> the equation has one real number solution

if  (b^{2} -4ac)< 0 -------> the equation has two complex number solutions

In this problem we have

-2x^{2} +3=0

so

a=-2\ b=0\ c=3

substitute in the formula

(0^{2} -4(-2)(3))=24

24 > 0 ---->  the equation has two real number solutions

therefore

<u>the answer is</u>

the equation has two real number solutions


7 0
3 years ago
Read 2 more answers
Factors of -36 that add to 13
sergij07 [2.7K]
To solve this problem follow the steps below.

Step 1:List out all of the factors for -36

-36: 1,2,3,4,6,9,12,18,36
       -1,-2,-3,-4,-6,-9,-12,-18,-36

Step 2: Start going through a process of guessing and checking (basically take any two factors and add them together to see if they equal 13)

1 plus 12=13
9 plus 4=13

Step 3:Check your calculations and make sure you didn't make any errors

13-12=1 and 13-1=12   
13-9=4    and  13-4=9

Answer: 1 and 12
               4 and 9

I hope this helps and if any false information was given I apologize in advance.
3 0
3 years ago
Slope-intercept of (2,3), (4,-1)
Karo-lina-s [1.5K]

Answer: y=-2x+7

Step-by-step explanation:

First we need to find the slope. We can do this by appling the formula (y2-y1)/(x2-x1).

(3-(-1))/(2-4)=4/-2=-2

Now that we have the slope, we can use the slope and a coordinate point and plug it into point-slope form.

y-3=-2(x-2)

y-3=-2x+4 Isolate y for slope-intercept form.

y=-2x+7

7 0
3 years ago
Refurbished phone 35% of now only 78 pound how much was the phone before the discounted price
oksano4ka [1.4K]
120 pound is the full price.
3 0
4 years ago
Read 2 more answers
Help me with this please
timama [110]

Answer:

\large\boxed{(b)\ \dfrac{x+2}{x-3}}

Step-by-step explanation:

\dfrac{1}{x+1}+\dfrac{x}{x-3}-\dfrac{-x-5}{x^2-2x-3}=(*)\\\\x^2-2x-3=x^2-3x+x-3=x(x-3)+1(x-3)=(x-3)(x+1)\\\\(*)=\dfrac{1(x-3)}{(x+1)(x-3)}+\dfrac{x(x+1)}{(x+1)(x-3)}+\dfrac{-(-x-5)}{(x+1)(x-3)}\\\\=\dfrac{x-3+x^2+x+x+5}{(x+1)(x-3)}=\dfrac{x^2+(x+x+x)+(-3+5)}{(x+1)(x-3)}\\\\=\dfrac{x^2+3x+2}{(x+1)(x-3)}=\dfrac{x^2+2x+x+2}{(x+1)(x-3)}=\dfrac{x(x+2)+1(x+2)}{(x+1)(x-3)}\\\\=\dfrac{(x+2)(x+1)}{(x+1)(x-3)}\qquad\text{cancel (x + 1)}\\\\=\dfrac{x+2}{x-3}

6 0
4 years ago
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