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4 years ago

Fine the distance between p(2,8 and q(5,3)

1 answer:

defon4 years ago

7 0

$d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}$
$d = \sqrt{(5 - 2)^{2} + (3 - 8)^{2}}\$
$d = \sqrt{(3)^{2} + (-5)^{2}}$
$d = \sqrt{9 + 25}$
$d = \sqrt{34}$

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Please help explain on how to do it as I am having trouble solving it.

aleksley [76]

Answer:

the value if x is 15

Step-by-step explanation:

Use Pythagoras theorem

x² = (x - 3)² + 9²

x² = x² -3x -3x + 9 + 81

x² = x² -6x + 90

x² - x² + 6x = 90

6x = 90

divide through by 6

x = 90/6

x = 15

5 0

3 years ago

What is measure of angle R?

krek1111 [17]

Given is a Right triangle PQR with angle Q = 90 degrees.

Given are sides PQ = 8 cm, QR = 15 cm, PR = 17 cm.

Side PR is the hypotenuse.

We can use formula for "sin" given as follows :-

$sin(\theta)=\frac{Opposite}{Hypotenuse}$

<u>For angle R, opposite side would be PQ. </u>

$sin(R)=\frac{PQ}{PR} \\\\ sin(R)=\frac{8}{17} \\\\ sin(R)=0.470588235 \\\\ R=sin^{-1}(0.470588235) \\\\ R = 28.07248694 \;\;degrees \approx 28.07 \;degrees$

<u>For angle P, opposite side would be QR. </u>

$sin(P)=\frac{QR}{PR} \\\\ sin(P)=\frac{15}{17} \\\\ sin(P)=0.882352941 \\\\ P=sin^{-1}(0.882352941) \\\\ P = 61.92751306 \;\;degrees \approx 61.93 \;degrees$

Hence, R = 28.07 degrees and P = 61.93 degrees.

8 0

3 years ago

A ball is dropped vertically from a height of 100 meters. After each bounce, the ball reaches a maximum height equal to 75 perce

Nesterboy [21]

After the 1st bounce it would be 48 meters. 80*.6
After the 2nd bounce it would be 28.8.80*.6*.6
After the 3rd bounce it would be 17.28. 80*.6*.6*.6
After the 8th bounce it would be 1.3. 80*.6*.6*.6*.6*.6*.6*.6*.6
Answer=1.3

8 0

3 years ago

What are four ways to represent functions?

telo118 [61]

A function can be represented verbally. For example, the circumference of a square is four times one of its sides.
A function can be represented algebraically. For example, 3x+6 3 x + 6 .
A function can be represented numerically.
A function can be represented graphically.

6 0

3 years ago

Read 2 more answers

Match each equation with its solution

Serggg [28]

Answer: The first one is 1. The second one is -25

Step-by-step explanation:

4 0

3 years ago