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3 years ago

Someone please help me!!

Mathematics

1 answer:

melamori03 [73]3 years ago

6 0

Answer:

All of these questions, I did on paper. Gimme a sec while I upload them

Step-by-step explanation:

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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 .

8 0

3 years ago

Root 180 times a squared over root 80 times b squared

Studentka2010 [4]

180×80 would give u 14400

3 0

3 years ago

0.38, 1.52)

Elis [28]

Answer:

The best correct option is C

x = 1.79 to x = 3

Step-by-step explanation:

Making the sport off all little thing that crowed. They are still grouped into 7. Option C is theost appropriate.

5 0

3 years ago

What is the opposite of -3.4? [Type your answer as a number.]

snow_lady [41]

The opposite of -3.4 would be positive 3.4

5 0

4 years ago

Wake up cereal comes in 2 types, crispy and crunchy. If researcher has 10 boxes of each, how many ways can this be done?

Yuliya22 [10]

Answer:

11 ways

Step-by-step explanation:

10 crunchy

9 crunchy 1 crispy

8 crunchy 2 crispy

7 crunchy 3 crispy

6 crunchy 4 crispy

5 crunchy 5 crispy

4 crunchy 6 crispy

3 crunchy 7 crispy

2 crunchy 8 crispy

1 crunchy 9 crispy

10 crispy

8 0

3 years ago