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krok68 [10]
3 years ago
15

Using the Distance Formula and the Pythagorean Theorem, find the distance, to the nearest tenth, from F

Mathematics
1 answer:
Fantom [35]3 years ago
8 0

Answer:

<h2>        d = 8.9</h2>

Step-by-step explanation:

d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\(3,2)\quad\implies\quad x_1=3\,,\ \ y_1=2\\\\(-5,-2)\quad\implies\quad x_2=-5\,,\ \ y_2=-2\\\\d=\sqrt{(3+5)^2+(2+2)^2}=\sqrt{8^2+4^2}=\sqrt{64+16}=\sqrt{80}\approx8.9

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Find x.
Vadim26 [7]

The value of x is 28 millimeters in the composite figure of two right-angled triangles lying next to each other

<h3>What is a composite figure?</h3>

A composite figure is a figure that is produced from the combination of two geometric shapes together.

The diagrammatic expression of a composite figure consists of two right-angled triangles lying next to each other can be seen in the image attached below.

For the left-side right-angled triangle, we have:

13² = h² + 5²

h² = 13² - 5²

h = √(169-25)

h = 12

Recall from the diagram that:

h² = pq

  • If p = 5 and q = x

∴

12² = 5x

x = 144/5

x ≅ 28 millimeters

Learn more about composite figures here:

brainly.com/question/15981553

#SPJ1

8 0
2 years ago
A circle whose equation is (x-5)^2 + (y+1)^2=36 has a center,C and a radius, r, of
mamaluj [8]

Answer: The center is (5,-1) and radius is 6.

Step-by-step explanation: The equation: (x-h)^2+(y-k)^2=r^2 is really important. Since we have 36 equal r^2, square root it to get 6. And the center would be 5, because (x-5) but do the opposite operation, same for y+1.  

3 0
3 years ago
Please help me!!!!!!!!!!!
wolverine [178]

Answer:

(A) 66k+9

Step-by-step explanation:

50k+5+4+16k

3 0
3 years ago
Read 2 more answers
Sal bought 2 shirts and a hat. Sal remembers each shirt was $10, and the total was $50. Which equation helps answer the question
olganol [36]

Answer:

The answer is B.

Step-by-step explanation:

There are two shirts, both cost 10.

10 + 10.

The variable is the cost of the hat, which we add on.

10 + 10 + x.

Finally, 50 is the total price so that is going to be what it equals.

10 + 10 + x = 50

3 0
3 years ago
Y-2 = -3(x + 6), write the equation of the line in slope intercept form.
bija089 [108]

Answer: y=-3x-16

Step-by-step explanation:

Slope-intercept form is y=mx+b, where m is slope and b is y-intercept.

y-2=-3(x+6)        [distribute]

y-2=-3x-18          [add both sides by 2]

y=-3x-16

Now, we see that the equation above matches the slope-intercept form equation. You can see that m=-3 and b=-16.

4 0
3 years ago
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