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hodyreva [135]
3 years ago
7

What is the distance between the points (10, -7) and ( 10, 9) on the coordinate plane?

Mathematics
1 answer:
xenn [34]3 years ago
7 0
16 on the y-axis, 0 on the x axis
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Find the hypotenuse of each isosceles right triangle when the legs are of the given measure. 6 sqrt 2
Gemiola [76]
Isosceles right triangles have two equal sides (a and b) that are not the hypotenuse (c). And when two sides are equal, so are their opposite angles. There are only 180° degrees in any triangles, thus the right angle = 90°, so 90 left for the two equal, means that 2x=90,
x = 45°.

There are several ways to go about solving a triangle like this. The best and easiest is simply to memorize that the hypotenuse is exactly root2 times the other sides. Or, each isosceles side is the hypotenuse (c) ÷ root2
a = b = c \div  \sqrt{2} \\ c  = a\sqrt{2}  \\ c = 6 \sqrt{2} \times \sqrt{2}  = 6 \times 2 = 12
Another way to do it is the longer proof of Pythagorean Theorem:
{c}^{2}  =  {a}^{2}  +  {b}^{2}... \:  \:  c =   \sqrt{({a}^{2}  +  {b}^{2})}  \\
c= \sqrt{({6 \sqrt{2}) }^{2} + ({6 \sqrt{2})}^{2}}  \\ =  \sqrt{(2 \times{(6 \sqrt{2} )}^{2} )}  =  \sqrt{2(36 \times 2)}  \\ c =  \sqrt{144}  = 12

7 0
3 years ago
Which phrase best descubes the translation from the graph y = (x - 5)2 + 7 to the graph of y = (x + 1)2 - 2?
Ber [7]

Answer:

"6 units left and 9 units down"

Step-by-step explanation:

Suppose a function is given in this form:

y=(x-a)^2+b

This is the parent function y = x^2

  • translated a units right (left if there was a + before a)
  • translated b units up (down if there was a - before b)

Now, to go from  y=(x-5)^2+7  to  y= (x+1)^2-2 , we can see that:

  • first function is 5 units right and 2nd one is 1 unit left, so there is a horizontal translation of 6 units left
  • first function is 7 units above and 2nd one is 2 units down, so there is a vertical translation of 9 units down

Thus, "6 units left and 9 units down" is the transformation(translation).

6 0
3 years ago
What is [ -14] ?<br><br> a. -14 <br> b. -7 <br> c. 7 <br> d. 14<br> e. 1/14<br>​
aleksklad [387]

Answer:

D

Step-by-step explanation:

8 0
3 years ago
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Jill will go to the swimming pool on 20 different days this month.
Nezavi [6.7K]

Answer:

15 dollars because it ends up being 45 dollars for daily passes

Step-by-step explanation:

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Please help! *WILL MARK BRAINIEST*
tatuchka [14]

Answer:

27/40

Step-by-step explanation:

Simple math, can I have Brainliest??

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