A line passes through (2, −1) and (4, 5). Which answer is the equation of the line?

1 answer:

6 0

Y= 3x - 7
subract 5 by -1 which is 6 and divide that by 4-2 which is 2 so 6 divided by 2 is 3. then subtract the y value by 6 to get 0,-7

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3. What is the exact area of triangle ABC? Use special right triangles to help find the base of the triangle. Show your work.

Oduvanchick [21]

The exact area of triangle ABC is 93.51 cm².

The given parameters;

Height of the triangle, h = 18 cm

The base of the triangle is calculated by using trigonometry ratio as follows;

$tan (30) = \frac{b}{18} \\\\$

where;

b is the base of the triangle ABC

$b = 18 \times tan(30)\\\\b = 10.39 \ cm$

The area of the triangle ABC with the calculated base and given height is calculated as follows;

$A = \frac{1}{2} \times base \times height\\\\A = \frac{1}{2} \times 10.39 \times 18\\\\A = 93.51 \ cm^2$

Thus, the exact area of triangle ABC is 93.51 cm².

Learn more about area of a triangle here: brainly.com/question/23945265

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1 year ago

Twin brothers,billy and Bobby, can mow their grandparents lawn together in 72 minutes. Billy could mow the lawn by himself in 15

Alla [95]

Answer:

Billy used 28 mins 30 sec to mow the lawn and Bobby used 43 mins 30 sec to now the lawn both within 72 mins

Step-by-step explanation:

let x represent Billy

let x+15 represent Bobby

x + x + 15 = 72

2x = 72 - 15

2x = 57

2x/2 = 57/2

x = 28.5 minutes = 28 minutes 30 seconds

Bobby = x + 15

= 28.5 + 15

= 43.5 minutes= 43 minutes 30 seconds

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2 years ago

The sum of two numbers is 41. The larger number is 21 more than the smaller number. What are the numbers?

Charra [1.4K]

Answer:

srry its 31 and 10

Step-by-step explanation:

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2 years ago

Read 2 more answers

There is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 2 9 . There are 63 m

Tatiana [17]

The main idea is the number of marbles and the denominator of the probability. All you have to do is multiply the fraction by a fraction which is equal to 1 which makes the denominator equal to 63. We know 63 is a multiple of 9. 9 goes 7 times in 63 so we multiple the fraction $\frac{2}{9}$ with $\frac{7}{7}$ which gives, $\frac{2 * 7}{9 * 7}$ which when evaluated gives $\frac{14}{63}$ and the numerator is the number of red marbles in the bag. So there are 14 red marbles in the bag :D