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2 years ago

A straight line passes through A (-2, 0) and B (2,-k). The line is

Mathematics

1 answer:

gtnhenbr [62]2 years ago

3 0

Answer:

Step-by-step explanation:

Let the slope of the first line be m1

Let the slope of the second line be m2

If both lines are perpendicular, then;

m1m2 = -1

Get m1, the slope of the line passing through A (-2, 0) and B (2,-k).

m1 = y2-y1/x2-x1

m1 = -k-0/2-(-2)

m1 = -k/4

Get the slope of the line 3y + 2x = 5

Rewrite the equation;

3y = -2x + 5

y = -2/3 x + 5/3

Hence the slope of the line m2 is -2/3

Since m1m2 = -1, then;

-k/4(-2/3) = -1

2k/12 = -1

k/6 = -1

k = -6

Hence the value of k is -6

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A fish tank has 10 goldfish, 6 tetras, 4 snails, and 2 platies. What is the ratio of tetras to platies?

Nat2105 [25]

Answer:

6:2

Step-by-step explanation:

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3 years ago

using two of the number cards from the list, fill in the gaps so that the values are in ascending order

Mademuasel [1]

The two gaps of the series are 236 % and 2.41.

The series is 2(32/100) _, _ , 247/100.

We are given that the series is in ascending order.

Let the missing numbers be x and y respectively.

We know that 2(32/100) = 2.32 in decimal form and 247/100 is 2.47 in decimal form.

Hence, we can write,

2.32 < x < y < 2.47

The given options are:-

231 % = 231/100 = 2.31 < 2.32

Hence, it is not the answer.

0.42 < 2.31

Hence, it is not the answer.

236 % = 236/100 = 2.36 > 2.31

Hence, this is one of the answers.

34 % = 0.34

0.34 < 2.31

Hence, it is not the answer.

0.237 < 2.31

Hence, it is not the answer.

2.41 > 2.32

Hence, this is one of the answers.

24.2 % = 24.2/100 = 0.242 < 2.31

Hence, it is not the answer.

0.36 < 2.31

Hence, it is not the answer.

As, 2.36 < 2.41, hence,

x = 2.36 or 236 % and,

y = 2.41

To learn more about series, here:-

brainly.com/question/15415793

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1 year ago

Write the point-slope form of the equation of the horizontal line that passes through the point (2, 1). Pease show how!

mote1985 [20]

Check the picture below.

using a second for it, since it's a horizontal line, then say hmmm we'll use the y-intercept, or (0, 1), so the equation of a line that passes through (2,1) and (0,1)

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 2}}\quad ,&{{ 1}})\quad 
% (c,d)
&({{ 0}}\quad ,&{{ 1}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{1-1}{0-2}\implies \cfrac{0}{-2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-1=0(x-2)$

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2 years ago

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