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4 years ago

Find the distance between the points (1, 5) and (1, -4).

1 answer:

3 0

$\text {Distance = } \sqrt{(Y_2-Y1)^2 + (X_2-X_1)^2}$

$\text {Distance = } \sqrt{(5 - (-4))^2 + (1-1)^2}$

$\text {Distance = } \sqrt{81 + 0}$

$\text {Distance = } \sqrt{81}$

$\text {Distance = } 9 \text { units}$

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A trapezoid has an area of 342 square yards. The length of one base is 17 yards, and the length of the other base is 21 yards. W

dedylja [7]

The height of trapezoid is 18 yards

Solution:

Given that, trapezoid has an area of 342 square yards

The length of one base is 17 yards, and the length of the other base is 21 yards

To find: height of trapezoid

The area of trapezoid is given by formula:

$area = \frac{a+b}{2} \times h$

Where "h" is the height

"a" and "b" are the length of base

Here given that,

area = 342 square yards

a = 17 yards

b = 21 yards

h = ?

Substituting the values we get,

$342 = \frac{17+21}{2} \times h\\\\342 \times 2 = 38 \times h\\\\ 684 = 38h\\\\h = \frac{684}{38}\\\\h = 18$

Thus height of trapezoid is 18 yards

6 0

3 years ago

A city planner is rerouting traffic in order to work on a stretch of road. The equation of the path of the old route can be desc

Alborosie

Answer:

The correct option is;

y - P = two fifths (x - Q).

Step-by-step explanation:

The equation for the old route is given as follows;

$y = \dfrac{2}{5} \cdot x - 4$

Therefore, we have;

The slope of the equation of the old route = 2/5

Given that the new route is parallel to the old route and passes through the point (Q, P), the slope of the new route = 2/5 and the equation of the new route in slope and intercept form can be written as follows;

y - P = 2/5×(x - Q)

Therefore, the correct option is y - P = two fifths (x - Q).

6 0

3 years ago

A ball is thrown from ground level straight up into the air at an intitial velocity of 54 feet per second. The height of the bal

bonufazy [111]

Answer:

3 3/8 seconds.

Step-by-step explanation:

When it reaches the ground h = 0 so:

54t - 16t^2 = 0

16t^2 - 54t = 0

2t(8t - 27) = 0

t = 0 or t = 27/8 (we ignore the t = 0 ) so:

t = 3 3/8 seconds.

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3 years ago

How can I solve this?

Alisiya [41]

Its an anti derivative. my computations doesnt fit in a single sheet so i cant show the solution. but here's the answer.

4 0

4 years ago

PLEASE HELP, THANK YOU

yulyashka [42]

Answer:

Step-by-step explanation:

3rd:9

4th:15

10th:51

6 0

4 years ago