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Aleksandr [31]
2 years ago
14

PLEASE HELP ASAPPPPPPPPPPPPPPP

Mathematics
1 answer:
Andru [333]2 years ago
4 0

Answers:

  • a) -3
  • b)  7/3
  • c)  -1/2
  • d)  1/11
  • e)  undefined
  • f) 0
  • d)  2/3

========================================================

Explanation:

If the original slope is a/b, then the perpendicular slope is -b/a

We flip the fraction and we flip the sign from positive to negative, or vice versa.

As an example, the slope 1/3 flips its fraction to 3/1 or just 3. Then we flip the sign to -3. So if the original slope is 1/3, then its perpendicular counterpart is -3.

Notice how the two slopes multiply to -1

(1/3)*(-3) = -1

This applies to any pair of perpendicular lines such that neither line is horizontal and neither line is vertical either.

------------------------

If the original slope is some whole number, then rewrite it as a fraction over 1

Example: 2 becomes 2/1

That way we can flip the fraction and the sign

-------------------------

If we had an original slope of 0, then it's the same as 0/1

Flipping the fraction leads to 1/0, but that's undefined. We cannot divide by zero. So that explains the answer to part e).

Going in reverse of this process, any line with undefined slope will be perpendicular to lines of slope 0.

horizontal lines have slope of 0

vertical lines have undefined slopes

-------------------------

For part g), you'll need to convert from a mixed number to an improper fraction

Use this formula

a & b/c = (a*c + b)/c

So this means,

1 & 1/2 = (1*2 + 1)/2 = 3/2

which leads to

-1 & 1/2 = -3/2

Then applying the rule "flip the fraction flip the sign" gets us from -3/2 to 2/3.

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crimeas [40]

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The building should be strong enough to withstand an earthquake of that magnitude.

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The building should be string enough to withstand an earthquake of that magnitude.

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3 0
2 years ago
<img src="https://tex.z-dn.net/?f=f%28x%29%3D-4x%5E%7B2%7D%2B5x" id="TexFormula1" title="f(x)=-4x^{2}+5x" alt="f(x)=-4x^{2}+5x"
JulijaS [17]

Answer:

Domain= (-inf,inf)/(-∞,∞)

Range= (-inf,25/16]

x-intercepts= (0,0), (5/4,0)

y-intercepts=(0,0)

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8 0
2 years ago
I need step by step explanation for this!
damaskus [11]

Answer:

61

Step-by-step explanation:

  1. 13 - 1 = 12
  2. 12 ÷ 2 = 6
  3. Put 6 and 1 together: 61

Therefore, the number is 61

Let's check:

  1. 6 × 2 = 12
  2. 12 + 1 = 13

The sum of the two digits is 13, and we got that, so we are correct. The number is 61.

5 0
2 years ago
Read 2 more answers
R / 5 - 6 equal negative 1​
Fofino [41]

Answer:

R = 25

Step-by-step explanation:

Given

\frac{R}{5} - 6 = - 1

Multiply through by 5 to clear the fraction

R - 30 = - 5 ( add 30 to both sides )

R = 25

4 0
3 years ago
Answer the following questions about the sphere whose equation is given by x2+y2+z2−8x+4y=−4. 1. Find the radius of the sphere.
Anna [14]

Answer:

we have (a,b,c)=(4,-2,0) and R=4 (radius)

Step-by-step explanation:

since

x²+y²+z²−8x+4y=−4

we have to complete the squares to finish with a equation of the form

(x-a)²+(y-b)²+(z-c)²=R²

that is the equation of a sphere of radius R and centre in (a,b,c)

thus

x²+y²+z²−8x+4y=−4

x²+y²+z²−8x+4y +4 = 0

x²+y²+z²−8x+4y +4 +16-16 =0

(x²−8x + 16) + (y² + 4y + 4 ) + (z²) -16 = 0

(x-4)² + (y+2)² + z² = 16

(x-4)² + (y-(-2))² + (z-0)² = 4²

thus we have a=4 , b= -2 , c= 0 and R=4

8 0
2 years ago
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