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Sindrei [870]
3 years ago
9

Can you help me with this plz

Mathematics
2 answers:
ExtremeBDS [4]3 years ago
5 0

Answer:

perpendicular lines have an inverse slope and place a negative sign on it too so our give line is as below  

Step-by-step explanation:

P1 = (0, -3)  in the form ( x1, y1)

P2 = (3 , 0 )  in the form (x2, y2)

m= slope  

m = y2-y1 / x2 - x1

m = 0-(-3) / 3 - 0

m = 3 / 3

m = 1

since our slope of the given line is 1 then a perpendicular line will have -1

every line perpendicular to the given line has a slope of -1

insens350 [35]3 years ago
4 0
<h3>Answer:  -1</h3>

=======================================================

Explanation:

First we need to find the slope of this given line.

The two points on here are (0,-3) and (3,0)

Apply the slope formula

m = (y2-y1)/(x2 - x1)

m = (0-(-3))/(3-0)

m = (0+3)/(3-0)

m = 3/3

m = 1

The slope of the given line is 1. The negative reciprocal of this is -1, which is the perpendicular slope.

Side Note: Any two perpendicular lines always have their slope multiply to -1, as long as neither line is vertical.

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Add. (3b + 5) + (2b + 4)
zaharov [31]

Answer:

\huge{ \fbox{ \sf{5b + 9}}}

Step-by-step explanation:

\star{ \text{( \: 3b + 5) + (2b + 4)}}

\text{Step \: 1 \:  :  \sf{Remove \: the \: unnecessary \: parentheses}}

\text{When \: there \: is \: a \: ( + ) \: in \: front \: of \: an \: expression \: in \: parentheses \:, there \: is \: no \: need \: to \: change \: the \: sign \: of \: each \: term \: in \: the \: expression.}

\text{That \: means, \: the \: expression \: remains \: the \: same. \: Just \: you \: have \: to \: remove \: the \: parentheses.}

\mapsto{ \sf{3b + 5 + 2b + 4}}

\text{Step \: 2 \:  : Collect \: like \: terms.}

\text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}

\mapsto{ \sf{3b + 2b + 5 + 4}}

\mapsto{ \sf{5b + 5 + 4}}

\text{ Step \: 3 \:  :  \sf{Add \: the \: numbers : 5 \: and \: 4}}

\mapsto{ \boxed {\sf{ {5b + 9}}}}

Hope I helped!

Best regards! :D

~\sf{TheAnimeGirl}

4 0
3 years ago
A bowl of fruit is on the table. It contains 5 apples, 2 oranges, and 2 bananas. Christian and Aaron come home from school and r
Sholpan [36]

The probability that both grab oranges would be = \frac{1}{36}

Step-by-step explanation:

Given,

A bowl contains,

Apples = a = 5

Oranges = o = 2

bananas = b = 2

Total fruits in bowl = x = a + o + b = 5 + 2 + 2 = 9

Now, Christian and Aaron come home from school and randomly grab one fruit each.

The probability of first selecting orange would be = \frac{o}{b} = \frac{2}{9}

Now, the oranges left would be 2 - 1 = 1

and total fruits would be = 9 - 1 = 8

Hence, the probability of selecting second orange would be = \frac{1}{8}

Therefore, the probability that both grab oranges would be = \frac{1}{8} * \frac{2}{9} = \frac{1}{36}

7 0
3 years ago
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