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Maru [420]
3 years ago
8

In a basketball game, Derick scored 3 points less than twice the number of points Logan scored. Logan scored 8 points. How many

points did Derick score?
Mathematics
2 answers:
sergij07 [2.7K]3 years ago
8 0
8x2 = 16
16-3 = 13

Answer= 13
Bond [772]3 years ago
6 0

Answer:

13

Step-by-step explanation:

8x2=16 and 16-3=13

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Solve this equation for x: 2x^2 + 12x - 7 = 0
zhannawk [14.2K]

Answer:

x=0.5355 or x=-6.5355

First step is to: Isolate the constant term by adding 7 to both sides

Step-by-step explanation:

We want to solve this equation: 2x^2 + 12x - 7 = 0

On observation, the trinomial is not factorizable so we use the Completing the square method.

Step 1: Isolate the constant term by adding 7 to both sides

2x^2 + 12x - 7+7 = 0+7\\2x^2 + 12x=7

Step 2: Divide the equation all through by the coefficient of x^2 which is 2.

x^2 + 6x=\frac{7}{2}

Step 3: Divide the coefficient of x by 2, square it and add it to both sides.

Coefficient of x=6

Divided by 2=3

Square of 3=3^2

Therefore, we have:

x^2 + 6x+3^2=\frac{7}{2}+3^2

Step 4: Write the Left Hand side in the form (x+k)^2

(x+3)^2=\frac{7}{2}+3^2\\(x+3)^2=12.5\\

Step 5: Take the square root of both sides and solve for x

x+3=\pm\sqrt{12.5}\\x=-3\pm \sqrt{12.5}\\x=-3+ \sqrt{12.5}, $ or $x= -3- \sqrt{12.5}\\$x=0.5355 or x=-6.5355

6 0
3 years ago
In parallelogram DEFG, DH = x + 5, HF = 2y, GH = 3x – 1, and HE = 5y + 4. Find the values of x and y.
earnstyle [38]
The diagonals of a parallelogram bisect each other.

DH = HF and GH = HE

x + 5 = 2y
3x - 1 = 5y + 4

Solve the first equation for x.
x = 2y - 5

Now substitute 2y - 5 for x in the second equation.

3(2y - 5) - 1 = 5y + 4

6y - 15 - 1 = 5y + 4

6y - 16 = 5y + 4

y = 20

Now substitute 20 for y in the first original equation.

x + 5 = 2y

x + 5 = 2(20)

x + 5 = 40

x = 35

Answer: x = 35 and y = 20
4 0
3 years ago
Read 2 more answers
NEEDS TO BE DONE TODAY SOMEONE PLEASE
eduard

Answer:

Step-by-step explanation:

16.

RT=17.885

RS=9.741

Angle T=33°

17

AB=7.077

Angle B= 47.291°

Angle A= 42.709°

19

∠A = 180° - B - C = 1.36944 rad =

A=78.463°

8 0
3 years ago
Using the dimensions of a new scale drawing created using a scale factor of 0.15, find the dimensions of the original rectangle.
adoni [48]

Answer:

Width: 15.8 ft

Length: 32ft

Step-by-step explanation:

4 0
3 years ago
Function: g(x) = 2x2 – 8
DedPeter [7]

Answer:

q = 0, r = 2, s = 3, t = -3

Step-by-step explanation:

6 0
3 years ago
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