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3 years ago

1. All of the letters in the alphabet are randomly

1 answer:

Alex3 years ago

3 0

The probability of selecting a vowel from the English alphabet is 5/26 (≈19.2%) if you include only A, E, I, O, and U as vowels

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What is the equation, in slope-intercept form, of the line

Sati [7]

Given:

Given that the graph of the equation of the line.

The line that is perpendicular to the given line and passes through the point (2,-1)

We need to determine the equation of the line perpendicular to the given line.

Slope of the given line:

The slope of the given line can be determined by substituting any two coordinates from the line in the slope formula,

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

Substituting the coordinates (-1,3) and (2,2), we get;

$m_1=\frac{2-3}{2+1}$

$m_1=-\frac{1}{3}$

Thus, the slope of the given line is $m_1=-\frac{1}{3}$

Slope of the perpendicular line:

The slope of the perpendicular line can be determined by

$m_2=-\frac{1}{m_1}$

Substituting $m_1=-\frac{1}{3}$ , we get;

$m_2=-\frac{1}{-\frac{1}{3}}$

simplifying, we get;

$m_2=3$

Thus, the slope of the perpendicular line is 3.

Equation of the perpendicular line:

The equation of the perpendicular line can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting $m=3$ and the point (2,-1) in the above formula, we have;

$y+1=3(x-2)$

$y+1=3x-6$

$y=3x-7$

Thus, the equation of the perpendicular line is $y=3x-7$

Hence, Option d is the correct answer.

3 0

3 years ago

Mora was preparing for 3 achievement assessments. She spent 3.6 hours of studying over the weekend. If she spent an equal amount

Gre4nikov [31]

1.3 hours
3.6/3 =1.3

7 0

3 years ago

Read 2 more answers

A student took two national standardized tests while applying for college. On the first test,

kvv77 [185]

Answer:

Step-by-step explanation:

4 0

3 years ago

Calculate the area of the shaded sector in the circle

scZoUnD [109]

Answer:

area ≈ 6.3 units²

Step-by-step explanation:

Calculate the area (A ) of the sector as

A = area of circle × fraction of circle

= πr² × $\frac{45}{360}$

= π × 4² × $\frac{1}{8}$

= 16π × $\frac{1}{8}$ ← cancel 8 and 16 by 8, leaving

A = 2π ≈ 6.3 units² ( to 1 dec. place )

5 0

3 years ago

A car salesperson receives a 7% commission per car sold. How much commission would the salesperson receive when selling a car fo

Natali5045456 [20]

Answer:

$1680

Step-by-step explanation:

To find 7% of 24000, convert 7% to a decimal and multiply. Percent means per hundred, 7% is 7/100 is .07

.07 × 24000

= 1680

7 0

2 years ago