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3 years ago

If you multiply the slopes of two perpendicular lines, what is the result?

Mathematics

1 answer:

rodikova [14]3 years ago

6 0

Find the gradient/slope of Line A:

(3-2)÷(-1-4)

=-0.2

Therefore, the gradient/slope of line B is 5

Using the equation y-y1=m(x-x1) we can find the equation of line B

y-7=5(x-3)

y= 5x-8

Sub in a random value for y (eg. y=2)

2=5x-8

5x=10

X=2

so (2,2)

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What is the simplified form of the quantity 1 over b minus 1 over a all over the quantity 1 over b plus 1 over a?

jolli1 [7]

Option B: (b-a)/(b+a) is the correct answer

Step-by-step explanation:

The given expression is;

$\frac{\frac{1}{b}-\frac{1}{a}}{\frac{1}{b}+\frac{1}{a}}$

First of all we have to take LCM in both numerator and denominator

So,

$=\frac{\frac{b-a}{ab}}{\frac{b+a}{ab}}$

The reciprocal of the denominator will be multiplied with the numerator for simplification

So,

$=\frac{b-a}{ab} * \frac{ab}{b+a}\\= \frac{b-a}{b+a}$

Hence,

Option B: (b-a)/(b+a) is the correct answer

Keywords: Fractions, expressions

Learn more about fractions at:

#LearnwithBrainly

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3 years ago

if the number 517*324 is completely divisible by 3, then what is the smallest whole number that could replace the *?

Lelechka [254]

Answer:

Step-by-step explanation:

5+1+7+x+3+2+4=x+22

x+22 is divisible by 3,

multiple of 3 are 3,6,9,12,15,18,21,24,27,...

if x=2 ,then x+22=2+22=24

so smallest number is 2

8 0

2 years ago

Solve 3x2 + x + 10 = 0. Round solutions to the nearest hundredth.

Kobotan [32]

<span>3x2 + x + 10 = 0, delta = 1² - 4.3.10= - 119 <0 so the answer is
b) </span><span>No real solutions</span>

6 0

2 years ago

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2 tens 1 one times 10

elena-14-01-66 [18.8K]

I believe its... 21 × 10 = 210

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2 years ago

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The perimeter of a rectangular field is 368 yards. If the width of the field is 87 yards, what is it’s length

just olya [345]

This length of the rectangular field is 97 yards because if you double the length and double the width and add them up you get the perimeter (368)

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3 years ago

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