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Levart [38]
3 years ago
5

6. Find the distance between (-4, 5) and (7, 18). O 15.96 16.08 O 16.23 O 17.03

Mathematics
1 answer:
k0ka [10]3 years ago
5 0

<em>Greetings from Brasil... </em>

The expression that allows you to calculate the distance between two points is:

<h2>d(A; B) = √[(Xb - Xa)² + (Yb - Ya)²]</h2>

d(A; B) = √[(7 - (- 4))² + (18 - 5)²]

d(A; B) = √[(7 + 4)² + 13²]

d(A; B) = √[11² + 13²]

d(A; B) = √[121 + 169]

d(A; B) = √290

<h2>d(A; B) ≈ 17.03</h2>

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Find the exact value of x.
il63 [147K]

Answer:

here is the exact value of x=16

5 0
1 year ago
A coin collection is made up of 34 coins comprised of nickels and dimes. The total value of the collection is $1.90. How many di
riadik2000 [5.3K]

Answer:

x = nickels

y= dimes

x + y = 34

.05x + .10y= $1.90

-.10x - .10y = -3.40

-.05x + .10y = 1.90

-.05x = -1.50

x = 30 nickels

30 + y = 34

y = 4 dimes

(3,4)

7 0
3 years ago
Which of the following best describes the relationship between the variables on the scatter plot below?
CaHeK987 [17]

Answer:

A. negative correlation

Step-by-step explanation:

Let two variables x and y, the correlation coefficient r measure to what degree the variables x and y are related.

--- If this coefficient is positive then the relationship will be positive. This means that even an increase in the variable x will produce an increase in the variable y. In the dispersion diagram the points will be grouped, simulating a line of positive slope.

--- If this coefficient is negative then the relation will be negative. This means that even an increase in the variable x will produce a decrease in the variable y. In the dispersion diagram the points will be grouped, simulating a negative slope line.

In the diagram shown it can be noted that as the variable x increases the variable y decreases.

Therefore it can be concluded that the correlation between x and y is negative. The correct option is option A

4 0
3 years ago
How do I find the perimeter of a triangle with sides 3ft 8in., 2ft 10in., and 4 ft?
Dmitriy789 [7]
Formula for triangle perimeter is: a + b + c. In this scenario we have:

a = 3 feet 8 inches
b = 2 feet 10 inches
c = 4 feet

a + b + c =
= 3 ft + 8 in + 2 ft + 10 in + 4 ft =
= 9 ft + 18 in

We know that 1 foot is 12 inches, so we can simplify the result to this form:

10 ft + 6 in

or:

<u>10.5 feet</u>
4 0
3 years ago
In AOPQ, o = 700 cm, p = 840 cm and q=620 cm. Find the measure of _P to the<br> nearest degree
Westkost [7]

Given:

In triangle OPQ, o = 700 cm, p = 840 cm and q=620 cm.

To find:

The measure of angle P.

Solution:

According to the Law of Cosines:

\cos A=\dfrac{b^2+c^2-a^2}{2bc}

Using Law of Cosines in triangle OPQ, we get

\cos P=\dfrac{o^2+q^2-p^2}{2oq}

\cos P=\dfrac{(700)^2+(620)^2-(840)^2}{2(700)(620)}

\cos P=\dfrac{490000+384400-705600}{868000}

\cos P=\dfrac{168800}{868000}

On further simplification, we get

\cos P=0.19447

P=\cos^{-1}(0.19447)

P=78.786236

P\approx 79

Therefore, the measure of angle P is 79 degrees.

8 0
3 years ago
Read 2 more answers
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