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2 years ago

What is the gradient of a line perpendicular to a line with a gradient of 5

Mathematics

1 answer:

ZanzabumX [31]2 years ago

3 0

Answer:

-1/5

Step-by-step explanation:

When a line is perpendicular to another line, it's gradient will be a reciprocal.

To calculate the reciprocal of a number you have to flip the fraction the other way around.

So, in the case our current gradient is 5/1 (5/1 is the same as just 5) and we need to flip in over to get 1/5, which is our new gradient.

The final step is to make the number negative because the line is going down. This gives us the final answer of -1/5.

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5x+18/8 = x/4 <br> Solve for x

ollegr [7]

Answer: x= -9/19

Step-by-step explanation:

5x+18/8=x/4

5x+ 9/4=x/4

5x+9/4-9/4=x/4-9/4

5x= x-9/4

5x(4)=x-9/4(4)

20x=x-9

20x-x=x-9-x

19x=-9

19x/19=-9/19

x=-9/19

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3 years ago

MODELING REAL LIFE A post-and-beam frame for a shed is shown in the diagram. Does the brace form a right triangle with the post-

Rainbow [258]

To find out if the triangle is a right triangle, we must check if the following equation is true:

$(15)^2+(20)^2=(25)^2^{}^{}^{}$

on the left side, we have:

$(15)^2+(20)^2=225+400=625^{}$

and on the right side, we have:

$(25)^2=625$

since on both sides we get 625, we have that the brace forms a right triangle.

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1 year ago

Question 10: If the product of all the numbers from 1 to 100 is divisible by 2^n, then what is the maximum possible value for n:

Klio2033 [76]

Answer: D

Step-by-step explanation:

100!=2*3*4*...*100

Counting which numbers are divisible by 2:

2,4,6,8,10,12,14,...,96,98,100 : 50 numbers (100/2=50)

Counting which numbers are divisible by 4=2²:

4,8,12,16,20,...96,100: 25 numbers (100/4=25)

Counting which numbers are divisible by 8=2³:

8,16,24,32,40,...,96: 12 numbers (100/8=12.5 ==> 12)

Counting which numbers are divisible by 16=2⁴:

16,32,48,...,96: 6 numbers (100/16=6.25 ==> 6)

Counting which numbers are divisible by 32=2⁵:

32,64,96 : 3 numbers(100/32=3.125 ==>3)

Counting which numbers are divisible by 64=2⁶:

64 : 1 number (100/64=1.5625 ==>1)

Sum of those numbers= 50+25+12+6+3+1=97

100! is divisible by 2⁹⁷.

Answer D

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3 years ago

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olga_2 [115]

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3 years ago

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shtirl [24]

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