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2 years ago

10

Giren: Lines a and b Are perpendicular. Prove: <3 and <4 are complementary.

1 answer:

Nikolay [14]2 years ago

7 0

Since lines a and b are perpendicular, that means it is a right angles so angles a+b=90 so they are complementary

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AB and BC form a right angle at point B if A = (-3,-1) and B = (4,4) what is the equation if BC

sergejj [24]

Answer:

$7x+5y-48=0$

Step-by-step explanation:

Refer the attached figure .

We are given a line AB

Point A $=(x_1,y_1) = (-3,-1)$

Point B $=(x_2,y_2) = (4,4)$

Formula for slope 'm' when two points are given :

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting thew values

$m=\frac{4-(-1)}{4-(-3)}$

$m=\frac{5}{7}$

Since we are given that AB is perpendicular to BC

So, By property - perpendicular slopes are negative reciprocals of each other.

$\Rightarrow m_1\times m_2 =-1$

$\Rightarrow \frac{5}{7}\times m_2 =-1$

$\Rightarrow m_2 = \frac{-7}{5}$

So, Slope for line BC : $m_2 = \frac{-7}{5}$

Point B = (4,4)

Formula of equation of line : $y-y_1=m(x-x_1)$

$y-4=\frac{-7}{5}(x-4)$

$5(y-4)=-7(x-4)$

$5y-20=-7x+28$

$7x+5y-20-28=0$

$7x+5y-48=0$

Hence the equation of line BC : $7x+5y-48=0$

5 0

3 years ago

pav-90 [236]

Answer: wow

I'd want nothing more than to swim in a pool of saliva.

8 0

3 years ago

How do you say the number 4.293?<br> Also, write two other forms of this number.

Elodia [21]

Four point two-hundred ninety three

8 0

3 years ago

Read 2 more answers

BRAINLIEST can someone please help!!!!!

Zielflug [23.3K]

I don't know about the first one but for the second one:

${2}^{3x + 2} - {2}^{3x} = 48 \\ \Leftrightarrow {2}^{3x} {2}^{2} - {2}^{3x} = 48 \\ \Leftrightarrow {2}^{3x} ( 4 - 1) = 48 \\ \Leftrightarrow 3 \times {2}^{3x} = 48 \\ \Leftrightarrow {2}^{3x} = 16 \\ \Leftrightarrow {2}^{3x} = {2}^{4} \\ \Leftrightarrow 3x = 4\Leftrightarrow x = \frac{4}{3}$

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3 years ago

√44 is between what 2 numbers?<br><br> A.4 and 5<br> B.5 and 6<br> C.6 and 7<br> D.7 and 8

Gemiola [76]

I believe the answer is C.

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3 years ago