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3 years ago

Simplify (2-7×)-(7×-2)

Mathematics

2 answers:

77julia77 [94]3 years ago

7 0

Answer: -14x+4

Step-by-step explanation:

Helga [31]3 years ago

5 0

Step-by-step explanation:

2 - 7x - 7x + 2

Solving like terms

-14x + 4

Taking 2 as common

-2 (7x - 2)

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Simplify the following expression please solve correctly<br> −12^12 ^2 / 3^ 5 ^5

nikdorinn [45]

The simplified expression is $-\frac{48}{x^{3} y^{3}}$

Explanation:

The given expression is $\frac{-12x^{2}12y^{2} }{3x^{5} y^{5} }$

Let us simplify the expression.

Multiplying the numbers in the numerator, we have,

$\frac{-144 x^{2} y^{2}}{3 x^{5} y^{5}}$

Dividing the term 144 by 3, which results in 48.

Thus, we have,

$\frac{-48 x^{2} y^{2}}{x^{5} y^{5}}$

Applying the fraction rule $\frac{-a}{b}=-\frac{a}{b}$ , we get,

$-\frac{48 x^{2} y^{2}}{x^{5} y^{5}}$

Applying the exponent rule $\frac{x^{a}}{x^{b}}=\frac{1}{x^{b-a}}$ , we have,

$-\frac{48}{x^{3} y^{3}}$

Thus, the simplified expression is $-\frac{48}{x^{3} y^{3}}$

7 0

3 years ago

At 10:00 a.M., Han and Tyler both started running toward each other from opposite ends of a 10-mile path along a river. Han runs

ehidna [41]

Answer: 1. Han run 2.5 miles after a half hour.

2. No, they will not meet within 1 hour.

Step-by-step explanation:

Here, Han runs at a pace of 12 minutes per mile.

Or, we can say that he can run with the speed of 5 miles per hour. (because, speed = 1/pace and 12 minutes = 1 miles ⇒ 60 minutes = 5 miles)

Similarly, If Tyler runs at a pace of 15 minutes per mile ⇒ Tyler run with the speed of 4 miles per hour.

Therefore,

1) The distance covered by Han in half an hour = 1/2 × 5 = 2.5 miles

(because distance = speed × time)

Now, 2) the time at which Han and tyler will meet,

T= Total distance/ ( the sum of their speed)

$T= \frac{10}{5+4} = \frac{10}{9}$

⇒ $T = 1\frac{1}{9}$ hours > 1 hour

That is, they will not meet within 1 hour.

4 0

3 years ago

Read 2 more answers

Geometry hw help!!!!

sergejj [24]

I think they are not similar because the angles are different

5 0

3 years ago

What is the area for this shape

BabaBlast [244]

Answer:

area = 697.5 ft²

Step-by-step explanation:

Think of an outer large rectangle minus a smaller upper rectangle.

area = LW - lw

area = (45 ft)(20 ft) - (45 ft - 10 ft - 8 ft)(7.5 ft)

area = 900 ft² - (27 ft)(7.5 ft)

area = 900 ft² - 202.5 ft²

area = 697.5 ft²

6 0

2 years ago

Write the equation of the parabola below

lorasvet [3.4K]

Answer:
Equation is: y = 0.5x² + 0.5x - 3

Explanation:
general form of the parabola is:
y = ax² + bx + c

Now, we will need to solve for a, b and c.
To do this, we will simply get points from the graph, substitute in the general equation and solve for the missing coefficients.

First point that we will use is (0,-3).
y = y = ax² + bx + c
-3 = a(0)² + b(0) + c
c = -3

The equation now becomes:
y = ax² + bx - 3

The second point that we will use is (2,0):
y = ax² + bx - 3
0 = a(2)² + b(2) - 3
0 = 4a + 2b -3
4a + 2b = 3
This means that:
2b = 3 - 4a
b = 1.5 - 2a ...........> I

The third point that we will use is (-3,0):
y = ax² + bx - 3
0 = a(-3)² + b(-3) - 3
0 = 9a - 3b - 3
9a - 3b = 3 ...........> II

Substitute with I in II and solve for a as follows:
9a - 3b = 3
9a - 3(1.5 - 2a) = 3
9a - 4.5 + 6a = 3
15a = 7.5
a = 7.5 / 15
a = 0.5

Substitute with the value of a in equation I to get b as follows:
b = 1.5 - 2a
b = 1.5 - 2(0.5)
b = 0.5

Substitute with a and b in the equation as follows:
y = 0.5x² + 0.5x - 3

Hope this helps :)

7 0

4 years ago