All categories

3 years ago

HELP ME THANK U π×πApplying the Pythagorean theorem, solve this triangle.

Mathematics

1 answer:

netineya [11]3 years ago

5 0

Answer:

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

21^2 + b^2 = 29^2

441+b^2 =841

Subtract 441 from each side

441 +b^2 -441 = 841-441

b^2 = 400

Take the square root of each side

sqrt(b^2) = sqrt(400)

b =20

You might be interested in

Write the equation of the line in fully simplified slope-intercept form.

Leya [2.2K]

Answer:

$y = -\frac{1}{6}x +2$

Step-by-step explanation:

To write an equation into slope-intercept form, or y = mx + b format, we need to find the y-intercept of the line and its slope and substitute values for m and b.

1) First, find the y-intercept. The y-intercept is the point at which the line intersects the y-axis. Reading the graph, we can see that the line passes the y-axis at the point (0,2), thus that is the y-intercept.

2) Next, find the slope. Pick out two points on the graph to use for the slope formula, $\frac{y_2-y_1}{x_2-x_1}$ . I chose to work with (0,2) and (6,1). Now, substitute the two points' x and y values into the formula appropriately and solve:

$\frac{(1)-(2)}{(6)-(0)} \\= \frac{1-2}{6-0}\\= \frac{-1}{6}$

Thus, $-\frac{1}{6}$ is the slope.

3) Now, substitute the calculated values into the y = mx + b format. The b represents y-value of the y-intercept. The y-intercept is (0,2), thus substitute 2 for b. The coefficient of the x term, or m, represents the slope, thus substitute $-\frac{1}{6}$ for m. This will give the following equation of the line in slope-intercept format:

$y = -\frac{1}{6}x +2$

4 0

3 years ago

Read 2 more answers

answer A B C D E F G H I J K L M N O P Q R S T U V W X Y ZA B C D E F G H I J K L M N O P Q R S T U V W X Y ZA B C D E F G H I J

Softa [21]

Answer:

Step-by-step explanation:

JUST LOOK I CAN SEE IT CLEARLY THANK U SO MUCH

5 0

3 years ago

Which pair of equations below represent parallel lines? and y = 9 and x = 18 y = 4x + 9 and y = 4x – 9 y = 5x + 15 and y = –5x +

Inessa05 [86]

Answer:

The correct option is 2.

Step-by-step explanation:

The slope of two parallel lines are equal.

The slope intercept form of a line is

$y=mx+b$

Where, m is slope and b is y-intercept.

In option 1, the equation of lines are

$y=9$

$x=18$

The first line is a horizontal line and the second line is a vertical line. Therefore they are not parallel line. Option 1 is incorrect.

In option 2, the equation of lines are

$y=4x+9$

$y=4x-9$

By using the slope intercept form of a line, the slope of first line is 4 and the slope of second line is 4.

Since the slope of both lines are same, therefore both lines are parallel. Option 2 is correct.

In option 2, the equation of lines are

$y=5x+15$

$y=-5x+15$

By using the slope intercept form of a line, the slope of first line is 5 and the slope of second line is -5.

Since the slope of both lines are not same, therefore both lines are not parallel. Option 3 is incorrect.

3 0

3 years ago

Read 2 more answers

Х<br> 23.4 x 13.9<br> 0.18<br> pls help

Aliun [14]

Answer: 1610

Step-by-Step Explanation:

Lets round off each number,
=> 23.4 to 23
=> 13.9 to 14
=> 0.18 to 0.2

Therefore,
= 23 * 14 / 0.2
= 322 / 0.2
= 1610

7 0

3 years ago

Last month, Jess received $13,087, of which $7,594 were one-time donations. If she earns $3 for each monthly subscription, which

julia-pushkina [17]

Answer:

13,087 = 3x + 7,594

Step-by-step explanation:

have a good day

7 0

3 years ago

HELP ME THANK U π×πApplying the Pythagorean theorem, solve this triangle.​

HELP ME THANK U π×πApplying the Pythagorean theorem, solve this triangle.