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3 years ago

What are the solutions of x^2-2x+5=0

Mathematics

1 answer:

Damm [24]3 years ago

3 0

Answer:

1 + 2i and 1 – 2i

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2 years ago

Every natural number is a whole number true or false

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true

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3 years ago

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The ages of three friends are consecutively one year apart. Together, their ages total 30 years. What is the age of the youngest

nadya68 [22]

Answer:

The age of the youngest friend is 9 years old.

Step-by-step explanation:

3a = 30 - 3

= 27 ÷ 3

= 9

= 9 + 10 + 11 = 30

= 9 is the smallest number. So, the youngest friend is 9 years old.

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3 years ago

Write the equation of the line passing through the points (-4,-1) and (2,8)

klio [65]

<h3>Explanation:</h3>

Calculate the slope with two given coordinate points by using rise over run.

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Let these points

$\begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}$

$m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2}$

Slope-Intercept

$y = mx + b \\ m = slope \\ b = y - intercept$

Substitute the value of m in the equation.

$y = \frac{3}{2} x + b$

Substitute any coordinate points that are given or part of the graph in the equation.

$(x_, y) = ( - 4, - 1)$

$- 1 = \frac{3}{2} ( - 4) + b$

Solve the equation for b-term.

$- 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b$

Rewrite the equation by substituting the value of b in the equation.

$y = \frac{3}{2} x + 5$

<h3>Answer</h3>

$\large \boxed{y = \frac{3}{2} x + 5}$

If you have any questions related to the answer, feel free to ask via comment.

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3 years ago

The perimeter of the original rectangle on the left is 30 meters. The perimeter of the reduced rectangle on the right is 24 mete

LenaWriter [7]

Answer:

8 meters

Step-by-step explanation:

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