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xeze [42]
3 years ago
13

Form a quadratic equation in the form ax + bx+c=0,

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
7 0

Step-by-step explanation:

(a) x=2, x=6/7

x²-(sum of a number)x+(product of number)=0

x²-(2+(6/7))x+(2×(6/7))=0

x²-(20/7)x+(12/7)=0

7x²-20x+12=0

(b)= x=-1/2, x=-2/3

x²-(sum of number)x+(product of number)=0

x²-((-1/2)-(2/3))x+((-1/2)×(-2/3))=0

x²-(-7/6)x+(2/6)=0

6x²+7x+2=0

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A rectangular city is 4 miles long and 5 miles wide. What is the distance between opposite corners of the city?
Vilka [71]

Answer:

It must be the hypotenuse of a right triangle of sides 4 and 5 miles.


 Use the Pythagorean theorem:

r = √(4^2 + 5^2) miles = √41 miles ≅ <u><em>6.4 miles</em></u>


8 0
3 years ago
Find the value of annuity if the periodic deposit is $1500 at 8% compounded semiannually for 22 years
Jet001 [13]

Answer:

The value of  annuity is P_v  =  \$ 32058

Step-by-step explanation:

From the question we are told that

    The periodic payment is  P  =  \$ 1500

     The  interest rate  is   r =  8\%  =  0.08

     Frequency at which it occurs in a year is  n = 2 (semi-annually )

      The number of years is  t =  22 \ years

The  value of the annuity is mathematically represented as

             P_v  =  P *  [1  - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ](reference EDUCBA website)

 substituting values

             P_v  =  1500 *  [1  - (1 + \frac{0.08}{2} )^{-22 * 2} ] * [\frac{(1 + \frac{0.08}{2} )}{ \frac{0.08}{2} } ]

             P_v  =  1500 *  [1  - (1.04 )^{-44} ] * [\frac{(1.04 )}{0.04} ]

             P_v  =  1500 *  [1  - 0.178 ] * [\frac{(1.04 )}{0.04} ]

            P_v  =  \$ 32058

8 0
3 years ago
-2/3y+12/7=-8/11 solve for Y
charle [14.2K]

The answer should be 282/77 as a fraction.

4 0
3 years ago
In the circle m∠ACD=2x+14 and m∠ABD=3x+8<br> what is the value of x
AlekseyPX

Answer:

The value of x = 6

Step-by-step explanation:

The angle subtended on same arc are equal in measure.Here <ACD and <ABD  are on the same arc. therefore these two angle are equal.

it is given that,  m∠ACD=2x+14 and m∠ABD=3x+8

From the figure we get,

m∠ACD = m∠ABD

Therefore we can write,

2x+14 = 3x+8

3x - 2x = 14 - 8

x = 6

Therefor the value of x = 6

6 0
3 years ago
A bag holds 10 blue marbles, 2 white marbles, and 8 red marbles. Without looking into the bag, William selects a marble and then
mixas84 [53]
50% I know I did this before
7 0
4 years ago
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