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HACTEHA [7]
3 years ago
13

Hi:) why is the gradient of vertical lines undefined?

Mathematics
1 answer:
Mademuasel [1]3 years ago
5 0

Answer:

The gradient of a line is given by \frac{y1 - y2}{x1 - x2}.

Any 2 points of a vertical line would have the same x-coordinate. Thus when you simplify the denominator, you would end up with a zero. If you enter that into your calculator, no matter what you numerator is, you would get a Math error. This is because you cannot possibly divide a number by zero. Thus, the gradient is undefined.

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Name the property or definition illustrated below
dimulka [17.4K]

Answer: Substitution

Step-by-step explanation:

GIVEN:

y=3x

2x+4y=12

Then, 2x+4(3x)=12

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

Substitution: replacing one variable in terms of another variable.

As we can see from the given aspects, y=3x, and the conclusion expression has no y instead of 3x. This means it represented y in terms of x, which fits the definition of substitution that replaces one variable.

Hope this helps!! :)

6 0
3 years ago
What is the largest number of consecutive integers whose sum is 2003?
Sladkaya [172]
2003 \div 2=1001.5

Go .5 below and .5 above this answer to get your consecutive integers.

Therefore the answer is 1001 and 1002.
4 0
3 years ago
The area of a isosceles trapezoid height of 8 base of 10 base of 15
ikadub [295]

Answer:

A = 100 un^{2}

Step-by-step explanation:

You have to use the area of a trapezoid formula:

A = \frac{h}{2}(a + b)

Now, substitute the values of the height and the bases:

A = \frac{8}{2}(10 + 15)

Finally, simplify the equation to solve for the area:

A = 4(25)

A = 100 un^{2}

6 0
3 years ago
ITS EASY JUST PLEASE HELP
svet-max [94.6K]
Letter B is the answer to your question
8 0
3 years ago
Solve each equation. Show all your work. Round your answers to four decimal places. (a) 7^4x=10,(b)ln(2)+In(4x-1)=5
KengaRu [80]
A.) 7^4x = 10
log base 10 (7^4X) = log base 10 (10)
4x log base 10 (7) = 1
4x (0.8451) = 1
3.3804x = 1
x = 0.2958

b.) ln(2) + ln(4x-1) = 5
ln (2 * 4x-1) = 5
ln (8x-2) = 5
log base (3) (8x-2) = 5
e^5 = 8x-2
e^5+2 = 8x
x = 18.8016
4 0
3 years ago
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