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3 years ago

A system of equations is shown.

Mathematics

1 answer:

grigory [225]3 years ago

3 0

Answer:

yrjyuthtjy tu tu k up

B ( 1 4 , _ 3 4 (

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4 years ago

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What is the length of AB

Anettt [7]

Answer:

$\boxed{\boxed{\overline{AB}=16}}$

Step-by-step explanation:

In the triangle ABC, m∠ABC=90°. Hence, it is right angle triangle.

$\tan \theta=\dfrac{p}{b}=\dfrac{AB}{64}$ --------1

In the triangle ABD, m∠ABD=90°. Hence, it is right angle triangle.

$\cot (90-\theta)=\dfrac{b}{p}=\dfrac{4}{AB}$

As $\cot (90-\theta)=\tan \theta$ , so

$\tan \theta=\dfrac{b}{p}=\dfrac{4}{AB}$ ---------2

From equation 1 and 2,

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3 years ago

The sum of two numbers is 30 and their difference is 12, what are the two numbers

Tju [1.3M]

Step-by-step explanation:

Let the number is a and b

The sum of two numbers =30

so,a+b=30 ............(1)

The difference of two number =12

so,a-b=12 .................(2)

If we add two equation (1) and (2)

we get,

a+b+a-b=30+12

2a=42

$\tt{ a=\dfrac{42}{2} }$

$\tt{ a=21 }$

so,one number is a=21

if we put the value a in (2) equation

we get,

a-b=12

21-b=12

b=21-12

b=9

so,the another number is=b=9

$\tt{ the~two~ number~ are~ 21 ~and~ 9 }$

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3 years ago

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