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Ivan
3 years ago
14

In the coordinate plane shown, how far apart are points E and D? Explain how you can use the Pythagorean theorem to determine th

is.

Mathematics
2 answers:
Komok [63]3 years ago
7 0
The answer would be 11.6619037897 because if you make a triangle out of it the sides are 10 and 6 so a^2 + b^2 = c^2 and you get 136 and if you find the square root of that it is <span>11.6619037897</span>
Alenkinab [10]3 years ago
7 0
Point E is located at (-3,5)
Point D is located at (3,-5)
 

using the Pythagorean theorem formula:

Distance = sqrt((x2-x1)^2 + (Yy2-y1)^2)


distance = sqrt ((3- -3)^2 + (-5,5)^2)

distance = sqrt(136)

distance = 2sqrt(34) which is approximately 11.66 units 

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Please help, I need input on if I did this correctly and you just substitute.
kow [346]

The value of h(t) when t=\frac{15}{32} is 10.02.

Solution:

Given function h(t)=-16t^2+15t+6.5

To find the value of h(t) when t=\frac{15}{32}:

h(t)=-16t^2+15t+6.5

Substitute t=\frac{15}{32} in the given function.

$h\left(\frac{15}{32} \right)=-16\left(\frac{15}{32} \right)^2+15\left(\frac{15}{32} \right)+6.5

            $=-16\left(\frac{225}{1024} \right)+15\left(\frac{15}{32} \right)+6.5

Now multiply the common terms into inside the bracket.

           $=-\left(\frac{3600}{1024} \right)+\left(\frac{225}{32} \right)+6.5

Now, in the first term, the numerator and denominator both have common factor 16. So reduce the first term into the lowest term.

          $=-\left(\frac{225}{64} \right)+\left(\frac{225}{32} \right)+6.5

To make the denominator same, take LCM of the denominators.

LCM of 64 and 32 = 64

        $=-\left(\frac{225}{64} \right)+\left(\frac{225\times2}{32\times2} \right)+6.5\times\frac{64}{64}

        $=-\frac{225}{64} +\frac{450}{64}+\frac{416}{64}

        $=\frac{-225+450+416}{64}

       $=\frac{641}{64}

       = 10.02

$h\left(\frac{15}{32} \right)=10.02

Hence the value of h(t) when t=\frac{15}{32} is 10.02.

8 0
3 years ago
Work out 2/3 X 2 plz help
Romashka [77]
 \frac{2}{3} × 2
2 = \frac{2}{1}

Numerator × numerator
Denominator × denominator

\frac{2}{3} × \frac{2}{1}
\frac{4}{3}
7 0
3 years ago
he Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top of the statue is 22.9 degree
Andru [333]

Answer:

is at a distance of 722 feet

Step-by-step explanation:

we have the angle that forms between the water and the imaginary line between the ship and the tip of the statue

we have the statue height that would be the opposite leg to our angle and we want to know the distance of the ship to the statue that would be the adjacent leg

we see that it has (angle, adjacent, opposite)

well to start we have to know the relationship between angles, legas and the hypotenuse

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

it's the tangent

tan α = o/a

we replace the values ​​and solve

tan α = o/a

tan 22.9 = 305/a

a = 305/tan22.9

a = 305/0.4224

a = 722

is at a distance of 722 feet

7 0
2 years ago
Read 2 more answers
Help with my homework pls<br> Solve the compound inequality y + 7 ≥ –1 and y∕4 + 3 ≤ 5.
Marianna [84]

Answer:

  -8 ≤ y ≤ 8

Step-by-step explanation:

Subtract 7 from the first one:

  y ≥ -8

Subtract 3 from the second one, then multiply by 4.

  y/4 ≤ 2

  y ≤ 8

Now, you can write these as a compound inequality:

  -8 ≤ y ≤ 8

_____

<em>Additional comment</em>

You basically solve these the same way you would an equation. The only difference is that multiplying or dividing by a negative number will reverse the inequality symbol:

  2 > 1

  -2 < -1 . . . . . multiplied above by -1.

8 0
2 years ago
EASY GEOMETRY**<br>what is the measure of the angle shown​
3241004551 [841]

I think the answer is B.

But my second choice would be C.

8 0
3 years ago
Read 2 more answers
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