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galben [10]
3 years ago
12

5. 63 + d = 105 I need help with this asap please

Mathematics
2 answers:
nadya68 [22]3 years ago
6 0
Answer:

42

Explanation:

You have to subtract 63, from, 105.
uranmaximum [27]3 years ago
3 0

Answer:

d=42

Step-by-step explanation:

If you do 105-63 you get 42 which is d. Hope this helps!

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I need help with this math
devlian [24]
(-5, 1) (-2, 4)
m = y2 - y1
————
x2 - x1
m = 4 - 1 = 3
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4 0
2 years ago
Which graph represents g(x)=−(x−3)2−5 ?
tia_tia [17]

Answer:

  see below

Step-by-step explanation:

The leading minus sign tells you the graph opens downward. (x-3) in the squared term tells you the x-coordinate of the vertex is x=3. The graph that matches these characteristics is shown below.

7 0
3 years ago
Find the equation of the sphere if one of its diameters has endpoints (-8, -3, -10) and (-6, 1, -4) which has been normalized so
alex41 [277]

Answer:

The  equation is  x^2 + y^2    +z^2 + 14 x  + 3y \ + 14z  + 86.25=0

Step-by-step explanation:

From the question we are told that  

    The  diameter endpoints is   (-8, -3, -10) and (-6, 1, -4)

Generally the equation of a sphere with center coordinates (a, b , c ) and  radius  r   is mathematically represented as

           (x -  a )^2  + (y -b )^2  + (z -c)^2 =  r^2

Now since we are given the endpoints of the diameter then we can obtain the center coordinates as follows

         (a, b , c) =  [ \frac{ -8 +(-6)}{2}  ,  \frac{-3 + (1)}{ 2}  , \frac{ -10 + (-4)}{2} ]

         (a, b , c) =  [ -7 ,  -1.5  , -7 ]

Now the length of the diameter is evaluated as

    |d| =  \sqrt{ (-8 - (-6 ))^2 + ( -3 - (1) )^2 + ( -10 - (-4))^2 }

   |d| =  \sqrt{56 }

   |d| =   \sqrt{4 *  14 }

   |d| = 2  \sqrt{  14 }

Now the radius is mathematically represented as

    r = \frac{|d|}{2}

    r = \frac{ 2 \sqrt{14} }{2}

    r =  \sqrt{14}

So

   (x -  -7 )^2  + (y --1.5 )^2  + (z --7)^2 = ( \sqrt{14} )^2

   (x +7 )^2  + (y +1.5 )^2  + (z +7)^2 = 14

    x^2 + 14 x + 49  + y^2 + 3y + 2.25   +z^2 14z + 49 = 14

    x^2 + y^2    +z^2 + 14 x  + 3y \ + 14z  + 86.25=0

4 0
4 years ago
John borrowed $ from bank for 3 years at a rate of 10%
garik1379 [7]
<h3>Given:</h3>
  • P= $12500
  • R= 10%
  • T= 3 years
<h3>Note that:</h3>
  • P= Principal amount
  • R= Rate of interest
  • T= Time period
<h3>To find:</h3>
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  • The total amount paid
<h3>Solution:</h3>

\large\boxed{Formula: I= \frac{PRT}{100}}

First, we'll have to multiply, principal amount (12500), rate (10) and time period (3).

12500×10×3

=375000

Now, we'll have to divide the amount (375000) by 100.

\frac{375000}{100}

<em>I=$3750</em>

Now, we can find the total amount paid.

\large\boxed{A=SI+P}

Let's substitute according to the formula.

A=3750+12500

<em>A=$16250</em>

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5 0
2 years ago
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