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KonstantinChe [14]
2 years ago
12

if the line AB with A(-1,5) and B(3,7) is perpendicular to the line CD WITH C(7,11) AND D(X,23). THEN X=?​

Mathematics
1 answer:
MissTica2 years ago
5 0

Answer:

x=1

Step-by-step explanation:

slope AB = (7-5) / (3 - -1) = 2 / 4 = 1/2

slope CD = (23-11) / (x-7) = 12 / (x-7)  

12 / (x-7) = - 2  ... perpendicular to AB slope 1 = - 1/slope 2

-2 (x-7) = 12

-2x + 14 = 12

-2x = -2

x = 1

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irga5000 [103]
Start with assigning each person with a variable to represent their height

Ebi: e
Jose: j
Derell: d
Asami: a

Ebi'd height was 2.5 cm greater than Jose's height

j + 2.5 = e

Jose's height was 3.1 cm greater than Derell's

d + 3.1 = j

Derell's height is 0.4 cm less than Asami's height

a - 0.4 = d

Ebi is 162.5 cm tall

e = 162.5

So, plug in 162.5 into any of the above equations were there is a variable of e

j + 2.5 = e

j + 2.5 = 162.5

Subtract 2.5 from both sides of the equation

j = 160 cm

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Now, plug in 160 into any of the above equations where there is a j

d + 3.1 = j

d + 3.1 = 160

Subtract 3.1 from both sides of the equation 

d = 156.9 cm

Derell's height 156.9 cm

so, plug in 156.9 into any of the above equations where there is a d

a - 0.4 = d

a - 0.4 = 156.9

Add 0.4 on both sides of the equation

a = 157.3 cm

Asami's height is 157.3 cm



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