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3 years ago

What property of equality is 43n = -43

Mathematics

2 answers:

VashaNatasha [74]3 years ago

6 0

Answer:

Division

Step-by-step explanation:

43n = - 43 (divide both sides by 43)

43/43 = -43/43

= -1

Mumz [18]3 years ago

3 0

Answer:

n=-1

Step-by-step explanation:

43/-43=-1

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Step-by-step explanation:

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3 years ago

A line passes through (6,3) , (8,4) and (n,-2) what is the value of n.

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$\left[\begin{array}{ccc}6&3&1\\8&4&1\\n&-2&1\end{array}\right]=0$
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<span>Keep the number on the left incognito and Put the number on the right without incognito by changing the sign.</span>
$-n =4$ simplify by (-1)
$\boxed{n = - 4}$

Answer:
$\boxed{n = -4}$

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2 years ago

Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die shows 4; B: the numbers add to 5

expeople1 [14]

Answer:

$A:\\R=4\hspace{8}G=\{y\hspace{3} ;\hspace{3}1\leq y\leq 6 \}\hspace{3}y\in Z$

$B:\\R+G=5\hspace{8}R=\{x\hspace{3} ;\hspace{3}1\leq x \leq 6 \}\hspace{3}x\in Z\hspace{5}G=\{y\hspace{3} ;\hspace{3}1\leq y\leq 6 \}\hspace{3}y\in Z\hspace{3}and\hspace{3}R\neq G$

$C:\\R=\{x\hspace{3} ;\hspace{3}1\leq x \leq 6 \}\hspace{3}x\in Z\hspace{3}G=\{y\hspace{3} ;\hspace{3}1\leq y\leq 6 \}\hspace{3}y\in Z\hspace{5}R =3 \hspace{3}or\hspace{3}G=3$

$R=\{x\hspace{3} ;\hspace{3}1\leq x \leq 6 \}\hspace{3}x\in Z\hspace{3}G=\{y\hspace{3} ;\hspace{3}1\leq y\leq 6 \}\hspace{3}y\in Z\hspace{5};\hspace{3}R+G\neq8$

Step-by-step explanation:

Let:

$R=The\hspace{3}number\hspace{3}shows\hspace{3}by\hspace{3}the\hspace{3}red\hspace{3}dice\\G=The\hspace{3}number\hspace{3}shows\hspace{3}by\hspace{3}the\hspace{3}green\hspace{3}dice$

This is easy, simply R=4, and we don't know the value of G, so:

$R=4\hspace{8}G=\{y\hspace{3} ;\hspace{3}1\leq y\leq 6 \}\hspace{3}y\in Z$

B: Be careful here, we know the numbers add to 5, so we don't know the exact value of R or G, because R could be 4 and G could be 1 or R could be 2 and green could be 3. However we can be sure that they can´t have the same value, because 5 is an odd number, if we add the same number to a number the result is always even: n+n=2n. So:

$R+G=5\hspace{8}R=\{x\hspace{3} ;\hspace{3}1\leq x \leq 6 \}\hspace{3}x\in Z\hspace{5}G=\{y\hspace{3} ;\hspace{3}1\leq y\leq 6 \}\hspace{3}y\in Z\hspace{3}and\hspace{3}R\neq G$

C: R is 3 or G is 3, that's the only thing we know, hence:

$R=\{x\hspace{3} ;\hspace{3}1\leq x \leq 6 \}\hspace{3}x\in Z\hspace{3}G=\{y\hspace{3} ;\hspace{3}1\leq y\leq 6 \}\hspace{3}y\in Z\hspace{5}R =3 \hspace{3}or\hspace{3}G=3$

D: Similar to B, we only know that the sum of R and G isn't 8:

$R=\{x\hspace{3} ;\hspace{3}1\leq x \leq 6 \}\hspace{3}x\in Z\hspace{3}G=\{y\hspace{3} ;\hspace{3}1\leq y\leq 6 \}\hspace{3}y\in Z\hspace{5};\hspace{3}R+G\neq8$

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3 years ago

Find the slope of the line that passes between the points (4,3/8) and (6,7/8)

Gnoma [55]

Answer:

Step-by-step explanation:

1. Plug the points into the slope formula:

$\frac{\frac{7}{8} - \frac{3}{8}}{6 - 4}$