Why it does not matter which two points you pick when you calculate the slope?

Mathematics

1 answer:

andrew11 [14]3 years ago

4 0

Answer:

Because when you are finding slope the line must be linear and because it is linear it doesnt matter which point you get because you get the same answer (you can try it yourself)

Step-by-step explanation:

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Choose the correct product of (5x − 11)2. 25x2 − 110x 121 25x2 − 121 25x2 121 25x2 110x 121.

chubhunter [2.5K]

Product is the multiplication of numbers. The product of the (5x-11)² is (25x²-110x+121).

<h3>What is a Product?</h3>

A product is the multiplication of a number or expression to another expression.

We know in order to find the product of (5x-11)², we need to multiply each of the terms inside the bracket to each term in the second bracket. therefore, the solution of the problem can be given as,

$(5x-11)^2\\\\= (5x-11) \times (5x-11)\\\\= (5x \times 5x)-(5x \times 11)-(5x \times 11)(11 \times 11)\\\\= 25x^2 - 55x - 55x + 121\\\\= 25x -110x +121$

Hence, the product of the (5x-11)² is (25x²-110x+121).

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2 years ago

Solve 7.8e^((x/3)ln(5))=14. What are the exact and approximate solutions?

Dimas [21]

$\bold{\text{Answer}:\quad x=3\bigg(\dfrac{ln\frac{14}{7.8}}{ln(5)}\bigg)=1.09}$

<u>Step-by-step explanation:</u>

$7.8e^{\frac{x}{3}\cdot ln(5)}=14\\\\\\e^{\frac{x}{3}\cdot ln(5)}=\dfrac{14}{7.8}\\\\\\ln\bigg(e^{\frac{x}{3}\cdot ln(5)}\bigg)=ln\bigg(\dfrac{14}{7.8}\bigg)\\\\\\\frac{x}{3}}\cdot ln(5)=ln\bigg(\dfrac{14}{7.8}\bigg)\\\\\\\large\boxed{x=3\bigg(\dfrac{ln\frac{14}{7.8}}{ln(5)}\bigg)}\\$