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2 years ago

Two lines intersect at a point, forming angle 1, angle 2, angle 3, and angle 4.

Mathematics

1 answer:

Gennadij [26K]2 years ago

4 0

The measurement of angle 110°

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How do you add integers with different sgns

Anuta_ua [19.1K]

Adding integers with different signs is just like adding or subtracting. First you just have to add all negative integers and also add all positive. After that positive intergers will be deducted by the sum of negative integers

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3 years ago

(y+1/x)^(x+y)*(x-1/y)^(x+y)÷{(x^2-1/y^2)^x*(y^2-1/x^2)^y}

Yuki888 [10]

Answer:

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3 years ago

Read 2 more answers

Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?

BlackZzzverrR [31]

Answer:

$\boxed{\sf a = 9 }$

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

$\sf\longrightarrow 3x - 2y +7=0$

$\sf\longrightarrow 6x +ay -18 = 0$

Step 1 : Convert the equations in slope intercept form of the line .

$\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}$

and ,

$\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a}$

Step 2: Find the slope of the lines :-

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

$\sf\longrightarrow Slope_1 = \dfrac{3}{2}$

And the slope of the second line is ,

$\sf\longrightarrow Slope_2 =\dfrac{-6}{a}$

Step 3: Multiply the slopes :-

$\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1$

Multiply ,

$\sf\longrightarrow \dfrac{-9}{a}= -1$

Multiply both sides by a ,

$\sf\longrightarrow (-1)a = -9$

Divide both sides by -1 ,

$\sf\longrightarrow \boxed{\blue{\sf a = 9 }}$

Hence the value of a is 9 .

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2 years ago

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3 years ago

A fraction in which the GCF of the numerator and the denominator is 1 is written in

konstantin123 [22]

"lowest terms". Whenever 2 numbers have a GCF of 1, that means there isn't anything that can divide out of both numbers, which is called "lowest terms." It means that the fraction cannot be reduced any more.

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3 years ago