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3 years ago

Factor this expression completely.

Mathematics

1 answer:

Orlov [11]3 years ago

5 0

Answer:

Step-by-step explanation:

5 and 7 are both common factors of 35 and 40

Looking at the options you can eliminate C and D right away because 7 times 8 = 56 and not 40 like the problem is asking.

This leaves A and B. Looking at the equation the difference between the two are the + and -

Using the original equation (35x-40) as reference we see that it subtracts the two variables. Therefore leaving A as the answer

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1. Do you the following side lengths form a right triangle?2. Which measurement is closest to the value of X in centimeters?

koban [17]

Answer:

Part 1:

Yes, the side lengths form a right triangle.

Part 2:

Option d 37.1 cm

Explanation:

We need to use the pythagorean theorem.

In part 1, if the 3 side lengths are a right triangle, then, they must verify:

$7.5^2=4.5^2+6^2$

By the theorem. Then:

$\begin{gathered} 7.5^2=56.25 \\ 4.5^2+6^2=20.25+36=56.25 \end{gathered}$

They're equal, then the lengths correspond to a right triangle.

For part 2, we need to use again the theorem. In this case:

$\begin{gathered} 12^2+x^2=39^2 \\ x=\sqrt{1521-144} \\ x=\sqrt{1377} \\ x\approx37.1cm \end{gathered}$

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1 year ago

A playground is on a rectangular pad that can be mulched. The park service just bought a load of mulch and they bought 60 square

Gekata [30.6K]

The width of the rectangular pad is 7.5 feet.

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3 years ago

What is the equation of the line perpendicular to 3x+y=6 that passes through the point (0,8)

Alekssandra [29.7K]

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$3x + y = 6$

$y = - 3x + 6$

The coefficient of x is the slope of the line , So the slope of the above equation is -3 .

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Remember from now on ,

Product of multiplying the slopes of two lines which are perpendicular to each other , is -1 .

Thus ;

$( - 3) \times (m) = - 1$

m is the slope of the line which we want.

$- 3m = - 1$

Negatives simplifies

$3m = 1$

Divide sides by 3

$\frac{3m}{3} = \frac{1}{3} \\$

$m = \frac{1}{3} \\$

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We have following equation to find the point-slope form of the linear functions :

$y - y(0) = m(x - x(0))$

x(0) and y(0) are the coordinates of the point which the line passed through.

$y - 8 = \frac{1}{3} (x - 0) \\$

$y - 8 = \frac{1}{3} x \\$

Add sides 8

$y = \frac{1}{3} x + 8 \\$

Done....

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3 years ago

Which is the best interpretation of the solution set for the compound inequality?

saw5 [17]

For this case we must find the solution set of the given inequalities:

Inequality 1:

$3 (2x + 1)> 21$

Applying distributive property on the left side of inequality:

$6x + 3> 21$

Subtracting 3 from both sides of the inequality:

$6x> 21-3\\6x> 18$

Dividing by 6 on both sides of the inequality:

$x> \frac {18} {6}\\x> 3$

Thus, the solution is given by all the values of "x" greater than 3.

Inequality 2:

$4x + 3$

Subtracting 3x from both sides of the inequality:

$4x-3x + 3$

Subtracting 3 from both sides of the inequality:

$x$

Thus, the solution is given by all values of x less than 4.

The solution set is given by the union of the two solutions, that is, all real numbers.

Answer:

All real numbers

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4 years ago

What is the area of this triangle??

dezoksy [38]

Answer:

248

Step-by-step explanation:

A=height b times base divided by two

which is:

A= 16 times 31 divided by two

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2 years ago