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2 years ago

Find the distance, c, between (–3, 4) and (2, –3) on the coordinate plane. Round to the nearest tenth if necessary.

Mathematics

1 answer:

andriy [413]2 years ago

5 0

Using the distance formula, the distance between (-3, 4) and (2, -3) is: 8.6 units.

<h3>What is the distance formula?</h3>

Distance formula for calculating the distance between two points on a coordinate plane is given as: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ .

Let,

(-3, 4) = (x1, y1)

(2, -3) = (x2, y2)

Plug in the values

$c = \sqrt{(2 - (-3))^2 + (-3 - 4)^2} \\\\c = \sqrt{74} \\\\$

c = 8.6 units.

Therefore, using the distance formula, the distance between (-3, 4) and (2, -3) is: 8.6 units.

Learn more about distance formula on:

brainly.com/question/661229

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Find the missing term (need help)

katen-ka-za [31]

Answer:

x² - 10x + 34

Step-by-step explanation:

given the roots are x = 5 ± 3i then the factors are

(x - (5 + 3i))(x - (5 - 3i))

= (x - 5)² - 9i² ← expand (x - 5)²

= x² - 10 x + 25 + 9 → [ i² = - 1 ]

= x² - 10x + 34

the missing term is 10x

7 0

3 years ago

Tom was driving 20.3 meters per second in a 45 mile per hour zone. Was Tom speeding? Explain using a unit conversion as well as

My name is Ann [436]

Answer:

Tom was speeding.

Step-by-step explanation:

The driving speed of Tom = 20.3 meters per second.

Speed allowed in the zone = 45 miles per hour zone.

Since the unit of speed allowed is given in miles per hour but the speed of tom is given in meters per second. So, first, we have to convert the meter per second into mile per hour then we can compare and find that Tom is speeding or not.

1 mile = 1609.34 meters

1 hour = 3600 second

Now convert 20.3 into mile per hour.

20.3 meters per second. = (20.3 / 1609.34)*3600 = 45.40981 mile per hour.

Since Tom’s speed is more than the allowed speed so he is speeding.

7 0

3 years ago

Please help i dont understand

Greeley [361]

Given:

A quadrilateral inscribed in a circle.

To find:

The value of x and y.

Solution:

If a quadrilateral inscribed in a circle, then it is known as cyclic quadrilateral and the opposite angles of a cyclic quadrilateral are supplementary angles, it means their sum is 180 degrees.

$5x^\circ+110^\circ=180^\circ$ [Supplementary angles]