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rodikova [14]
3 years ago
5

2x^2+7x=15 write in standard then factor the left side of the equation.

Mathematics
1 answer:
Nataly [62]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

Given

2x² + 7x = 15 ( subtract 15 from both sides )

2x² + 7x - 15 = 0 ← in standard form

To factorise the left side

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 15 = - 30 and sum = + 7

The factors are + 10 and - 3

Use these factors to split the x- term

2x² + 10x - 3x - 15 ( factor the first/second and third/fourth terms )

2x(x + 5) - 3(x + 5) ← factor out (x + 5) from each term

(x + 5)(2x - 3) ← in factored form

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Answer:

the answer is 1/9

Step-by-step explanation:

-3^0 divided by -3^2= 0.111111111

0.111111111 converted it equals 1/9

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66 tens - 38 tens =<br> Just trying to make sure I’m showing my kids the write way and answer
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66 tens - 38 tens= 58 tens

Step-by-step explanation:

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Find the area of the shape shown below.
hichkok12 [17]

Answer:

26.75 units ^2

Step-by-step explanation:

Since the shape is complex, divide it into 3 right angled triangles and one square. Find the area of these individual shapes first, then fin the sum of these area to calculate the ultimate area of e complex shape:

Triangle 1 = 1/2 x 2 x 5 = 5 units ^2

Triangle 2 = 1/2 x 2 x 2 = 2 units ^2

Triangle 3 = 1/2 x 3.5 x 9 = 15.75 units ^2

Square = 2 x 2 = 4 units squared.

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6 0
3 years ago
Can someone please help me with this :(
mrs_skeptik [129]

Answer:

first find the surface area of one of the square and one of the triangle.

then multiple it by the number of square and triangle they have

finally add the total surface area of the triangle with the total surface area of the square.

Step-by-step explanation:

  1. for one square

area= base * width

= 10*10

=100

total area of square= number of square * area of one square

t=6*100

t=600

  • for one triangle

area = 1/2 base * height

= 1/2 *10*8.66

=43.3

total area of triangle=number of triangle* area of one triangle

t2=8*43.3

=346.4

total surface area= total surface area of the square+ total surface area of the triangle

=600+346.4

=946.4 in^2

5 0
3 years ago
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