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4 years ago

Can the following lengths be

Mathematics

1 answer:

amm18124 years ago

3 0

I don’t think so because 2 lengths added up HAVE to be greater than the largest length. Hope this helped

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What is the answer to 1/4x=2?

Anvisha [2.4K]

Answer: ok :)

Explanation:

7 0

3 years ago

Which of the following equations have the same solution? Give reasons for your answer that do not depend on solving the equation

topjm [15]

Answer:

A,C and E are equal with 4 as their solution; F and B are equal with 0 as their solution. D is independent.

Solution:

A. $-(7-4x)=9$

Taking off the brackets we get,

$-7+4x=9 \Rightarrow +4x=9+7$

$\Rightarrow 4x=16 \\$

$\Rightarrow x=\frac{16}{4} \Rightarrow 4$

Here x=4 --- (a)

B. $12=-4(-6x-3)$

Multiplying -4 inside we get,

$12=+24x+12 \Rightarrow 12-12=24x$

$\Rightarrow x=0$

Here x=0 --- (b)

C. $5x+34=-2(1-7x)$

Multiplying -2 inside we get,

$5x+34=-2+14x$

Grouping the terms,

$34+2=14x-5x \Rightarrow 36=9x$

$\Rightarrow x=4$

Here x=4 --- (c)

D. $14=-(x-8)$

$\Rightarrow 14=-x+8 \Rightarrow -x=14-8$

$\Rightarrow x=-6$

Here x=-6 --- (d)

E. $-8=-(x+4)$

$\Rightarrow -8=-x-4 \Rightarrow x=8-4$

$\Rightarrow x=4$

Here x=4 --- (e)

F. $x+5=-5x+5$

$\Rightarrow x+5x=5-5$

$6x=0 \Rightarrow x=0$

Here x=0 --- (f)

So, from the above calculations we can conclude that (a), (c) and (e) are equal and (f) and (b) are equal but (d) is independent because it has a different solution.

5 0

4 years ago

X^ 3 +x^ 2 +4x/x^ 2 +x-2 into partial fractions

lawyer [7]

Answer:

x + (4/ x-2) + (2/ x-1)

Step-by-step explanation:

x + (6x/ x^2 + 2x - x -2)

x + (6x/ (x + 2) X (x - 1))

(6x/ (x + 2) X (x - 1))

(A/ x+2) + (B/ x-1)

(6x/ (x + 2) X (x - 1)) = (A/ x+2) + (B/ x-1)

6x = Ax + Bx - A + 2B

6x = (A+B)x + (-A+2b)

{0 = -A+2B

{6 = A+B

(A,B) = (4, 2)

(4/ x+2) + (2/ x-1)

x + (4/ x-2) + (2/ x-1)

6 0

3 years ago

The estimated answer to a multiplication problem is 800,000. Which of the following expressions could result in this answer? Exp

EastWind [94]

Answer:

8,146 x 121

Step-by-step explanation:

This is a problem in which you need to measure your understading of "orders of magnitude."

If the estimated answer is $800000$ that means that we are looking at a multiplication in the "order of" $8*10^5$

You need to look at the "orders of magnitude" of the things you're multiplying. In the first case, we have $8146*12$ that would be "of the order of" $8*10^3$ times $10^1$ . So the whole multiplication would "of the order of" $8*10^4$ or near $80000$