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Serjik [45]
3 years ago
6

Kristin and Joan are both saving monty, Kristin starts with $60 and saves $10 a

Mathematics
1 answer:
maxonik [38]3 years ago
8 0

Answer:

6

Step-by-step explanation:

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Find a solution of the quadratic equation.6x squared + 7x + 2 =0
worty [1.4K]

Given the equation:

6x^2+7x+2=0

We will use the following rule to find the solution to the equation:

x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}

From the given equation: a = 6, b = 7, c = 2

So,

\begin{gathered} x=\frac{-7\pm\sqrt[]{7^2-4\cdot6\cdot2}}{2\cdot6}=\frac{-7\pm\sqrt[]{1}}{12}=\frac{-7\pm1}{12} \\ x=\frac{-7-1}{12}=-\frac{8}{12}=-\frac{2}{3} \\ or,x=\frac{-7+1}{12}=-\frac{6}{12}=-\frac{1}{2} \end{gathered}

So, the answer will be option B) x = -1/2, -2/3

5 0
1 year ago
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter. To the nearest inch, how many inches are in 12 meter
Alexandra [31]

Answer:

12 meters = 472.441 inches

~Hope this helps~

8 0
3 years ago
A reflecting pool is shaped like a right triangle with one leg along the wall of a building. the hypotenuse is 9 feet longer tha
morpeh [17]

Answer:

Leg side along the wall = x ft = 8 ft

The other leg side = 7+x ft = 7+8=15 ft

The Hypotenuse =9+x ft = 9+8 = 17 ft

Step-by-step explanation:

In the question, the shape of the pool is right triangle.

Let the leg side along the wall to be the x ft

Let the other leg side  to be 7+x ft

Let the longest side/hypotenuse to be x+9 ft

Apply the Pythagorean relationship where the sum of squares of the legs equals the square of the hypotenuse

This means;

x^2 +(x+7)^2=(x+9)^2\\\\

Expand the terms in brackets

x^2+(x+7)^2=(x+9)^2\\\\\\x^2+x^2+14x+49=x^2+18x+81

collect like terms

x^2+x^2-x^2=18x-14x+81-49\\\\\\x^2=4x+32\\\\\\x^2-4x-32=0

solve for x in the quadratic equation by factorization

x^2-4x-32=0\\\\\\x^2-8x+4x-32=0\\\\\\x(x-8)+4(x-8)=0\\\\\\(x+4)(x-8)=0\\\\\\x+4=0,x=-4\\\\x-8=0,x=8

Taking the positive value of x;

x=8ft

Finding the lengths

Leg side along the wall = x ft = 8 ft

The other leg side = 7+x ft = 7+8=15 ft

The Hypotenuse =9+x ft = 9+8 = 17 ft

6 0
3 years ago
Which equation can be used to find what percent 14 is of 125?
IgorC [24]

Answer:

B. 14 = 125p

Step-by-step explanation:

6 0
3 years ago
HELP I REALLY NEED HELP PLEASE :0 thanks
spayn [35]
The area of the triangle is 52.5 ft squared.
8 0
3 years ago
Read 2 more answers
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