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scZoUnD [109]
3 years ago
15

Solve the problems 11-4 times

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
8 0

Answer:

12 45 67 88 90

Step-by-step explanation:

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Which of the following would best be solved using factoring the difference of squares? 2² + 3x - 10 = 0 O 3r² + 12x = 8 2³ +52²
IgorC [24]

Given: Different equations

To Determine: Which would be best solved using difference of two squares

Solution

The factorization of a difference of two squares is given below

a^2-b^2=(a-b)(a+b)

Let us examine each of the given equation

\begin{gathered} x^2+3x-10=0 \\ x^2-2x+5x-10=0 \\ x(x-2)+5(x-2)=0 \\ (x-2)(x+5)=0 \end{gathered}\begin{gathered} 3x^2+12x=8 \\ 3x^2+12x-8=0 \end{gathered}\begin{gathered} x^3+5x^2-9x-45=0 \\ x^2(x+5)-9(x+5)=0 \\ (x+5)(x^2-9)=0 \\ x^2-9=x^2-3^2=(x+3)(x-3) \\ Therefore \\ (x+5)(x+3)(x-3)=0 \end{gathered}\begin{gathered} x^2-25=0 \\ x^2-5^2=0 \\ (x+5)(x-5)=0 \end{gathered}

From the above,

\begin{gathered} x^3+5x^2-9x-45=0 \\ AND \\ x^2-25=0 \end{gathered}

The two equation above can be solved by difference of two square, but the equation below is the easiest solved using differnce of two square

x² - 25 = 0

3 0
1 year ago
find the area of a circle with a diameter of 4 ft ( Take pi = 3.14 ) round your solution to two decimal places. pls and Hurryyyy
garri49 [273]

Step-by-step explanation:

pi x r^2

3.14 x (2×2) = 12.56

4 0
3 years ago
Read 2 more answers
Find the most important variable in the problem.
lozanna [386]

Answer:

a

Step-by-step explanation:

4 0
2 years ago
A car needs fixing and Abe can fix it for $70 per hour with a $130 part, but Gabe can fix it for $80 an hour with a $40 part.How
patriot [66]

Answer:

9 hours

Step-by-step explanation:

Abe's charge  =   Gabe's charge

$130+($70/hr)h = $40+($80/hr)h

Then 130 + 70h = 40 + 80h, or

           90           =   10h, or h = 90/10 = 9

When 9 hours have passed, the amount charged by each person will be temporarily equal.

7 0
3 years ago
IF NR = 8 ft, what is the length of arc NMP. Round to the nearest tenth.
Pavlova-9 [17]

Check the picture below.

since chords NQ and MP cross the center of the circle at R, that means that those two chords are diametrical chords and the angles made by both are vertical angles and thus twin angles, namely both are 18° as you see in the picture, so the angle NMP in magenta is really 162° + 18° + 18° = 198°, and we know the radius NR is 8.

\textit{arc's length}\\\\ s=\cfrac{r\pi \theta }{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =198 \end{cases}\implies s=\cfrac{(8)\pi (198)}{180}\implies s\approx 27.6

4 0
2 years ago
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