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3 years ago

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 ≅ 6.4 miles

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 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

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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

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4 years ago

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