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Mila [183]
3 years ago
14

What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0

Mathematics
1 answer:
Tom [10]3 years ago
5 0

Answer:

x=\frac{-7-\sqrt{5}}{2} or x=\frac{-7+ \sqrt{5}}{2}

Step-by-step explanation:

The given equation is

(2x+3)^2+8(2x+3)+11=0

Let us treat this as a quadratic equation in (2x+3).

where a=1,b=8,c=11

The solution is given by the quadratic formula;

(2x+3)=\frac{-b\pm \sqrt{b^2-4ac} }{2a}

We substitute these values into the formula to obtain;

(2x+3)=\frac{-8\pm \sqrt{8^2-4(1)(11)} }{2(1)}

(2x+3)=\frac{-8\pm \sqrt{64-44} }{2}

(2x+3)=\frac{-8\pm \sqrt{20} }{2}

(2x+3)=\frac{-8\pm2\sqrt{5} }{2}

(2x+3)=-4\pm \sqrt{5}

(2x+3)=-4-\sqrt{5} or (2x+3)=-4+ \sqrt{5}

2x=-3-4-\sqrt{5} or 2x=-3-4+ \sqrt{5}

2x=-7-\sqrt{5} or 2x=-7+ \sqrt{5}

x=\frac{-7-\sqrt{5}}{2} or x=\frac{-7+ \sqrt{5}}{2}

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On Martin's first stroke, his golf ball traveled \dfrac45 5 4 ​ start fraction, 4, divided by, 5, end fraction of the distance t
makvit [3.9K]

Answer: 0.395 km

Step-by-step explanation:

Let Martin distance from the hole be X

On first stroke, his golf ball traveled 4/5 of the distance to the hole. That is 4/5 X

On his second stroke, the ball traveled 79 meters and went into the hole

Total distance covered will be

X = 79 + 4/5X

X - 4/5X = 79

X - 0.8X = 79

0.2X = 79

X = 79/0.2 = 395 meters

How many kilometers from the hole was Martin when he started

X = 395/1000 = 0.395 km

6 0
3 years ago
Cakes and More baked 1,450 chocolate chip cookies. The bakery sold them in boxes of 25 cookies each. How much money will the bak
Rina8888 [55]

Answer:

$406

Step-by-step explanation:

Step one:

given data

Cakes and More baked 1,450 chocolate chip cookies

The bakery sold them in boxes of 25 cookies each

The number of boxes will be

1450/25

=58  boxes

Step two:

The cost per box is $7

hence the cost of 58 boxes will be

=7*58

=$406

4 0
2 years ago
Anyone plz show how to work it out step by step.​
In-s [12.5K]

Answer:

168cm^3

Step-by-step explanation:

Q to P is going to be 3cm. it is identical to the length T to U.

R to T , W to Q, S to U is going to be identical to P to V. P to V has been identified as 12 cm.

in the middle of the shape, there are 4 identical triangles. the height time length will give us the area of that one shape:

e.g for shape P to V to W to Q and back to P is one rectangle. the length is 12 cm and the width is 3 cm.

12 x 3= 36

36cm^3 is one rectangles surface area, we have 4 identical triangles that means we need to times 36 by 4.

so 36x4=144.

now on the left and right side, we have two squares. on the right, we have T to U to V to W back to T this has the height of 3 width of 4 then we do 3 X 4 which is 12, we times it by 2 because we have two identical squares.

12 X 2=24

finally we add 24 and 144 = 168cm^3.

hope this helps :)

6 0
3 years ago
If the point (1, 5) lies on a circle whose center is at the origin, what is the equation of the circle?
makkiz [27]
In this case just change the variables by the numbers. (1,5)
x=1 y=5
1^2 + 5^2 = 26
1+25=26
26=26 *this one is the answer...
TRUE

x2 + y2 = 16
1^2 + 5^2=16
1+25=16
26=16
False

x2 + y2 = 13
1^2 + 5^2=13
1+25=13
26=13
False

x2 + y2 = 11
1^2 + 5^2=11
1+25=11
26=11
False

So we can say that the first one is the answer.
3 0
3 years ago
Allen has 344 baseball cards he gave keyone 25 how many cards does Allen have left?
Ronch [10]
Hey there! Just subtract 25 from 344. The answer is 319.
4 0
3 years ago
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