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Gelneren [198K]
3 years ago
6

(x-1)^2+(2-x)^2-3(x-5)*(x-5)

Mathematics
1 answer:
Natali5045456 [20]3 years ago
8 0

Answer:

-x^2+24x-70

Step-by-step explanation:

(x-1)^2+(2-x)^2-3(x-5)*(x-5)\\=> (x - 1)^2 + (2 - x)^2 - 3(x - 5)^2\\=> x^2 - 2x + 1 + 4 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 2x + 5 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 6x + 5 + x^2 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x^2 - 10x + 25)\\=> 2x^2 - 6x+5  - 3x^2+30x-75\\=> -x^2 - 6x + 5 + 30x - 75\\=> -x^2 + 24x + 5-75\\=> -x^2+24x-70

Formula used =

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

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STALIN [3.7K]

Answer:

The associative property will be:

(14\textbf{.}\frac{1}{7})\frac{2}{5}

So, Option C is the correct option.

Step-by-step explanation:

We need to write the expression that uses the associative property to make it easier to evaluate: 14(\frac{1}{7}\textbf{.}\frac{2}{5}  )

The associative property of multiplication states that: a(b\textbf{.}c)=(a\textbf{.}b)c

So, For the given expression:

14(\frac{1}{7}\textbf{.}\frac{2}{5}  )

The associative property will be:

(14\textbf{.}\frac{1}{7})\frac{2}{5}

So, Option C is the correct option.

4 0
3 years ago
The ratio of the three angles of a triangle is 2:4:6. What is the measure of the<br> SMALLEST angle?
kirill [66]
The measures of the angles are 30, 60 and 90 degrees.
Explanation:
I assume the question should read "the measures of the ANGLES of the triangle are in the ratio 2:4:6.
If the angles are in the proportion 2:4:6, the measures of the angles have the same scale factor
x
. And, the sum of the measures of the angles of a triangle is
180
.
⇒
2
x
+
4
x
+
6
x
=
180

12
x
=
180

12
x
12
=
180
12

x
=
15

The measures of the angles are:
2
x
=
2
(
15
)
=
30

4
x
=
4
(
15
)
=
60

6
x
=
6
(
15
)
=
90
7 0
3 years ago
Gbe and his friend found $124.80. They decided to split the money evenly. How much did each of them receive
Angelina_Jolie [31]
124.8 ( money found ) ÷ 2 (gbe & his friend) = 62.4
6 0
4 years ago
The roots of a quadratic equation are (1,0) and (-5,0). What is the axis of symmetry?
leva [86]

Answer:

Step-by-step explanation:

The axis of symmetry lies exactly halfway between the given x = 1 and x = -5.

The axis of symmetry is x = -2.

The 'halfway' value is also the 'average' of 1 and -5:  -4/2, or -2.

The axis of symmetry is x = -2.

8 0
4 years ago
Suppose you have 15 muffins. How many muffins ate left after you give a friend 1/3 of them
Verdich [7]

Answer:

10 muffins

Step-by-step explanation:

If you give away 1/3 of your muffins

1/3 * 15 = 5

You will give away 5 muffins

15 -5 =10

You will have 10 muffins left


3 0
3 years ago
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