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Xelga [282]
3 years ago
6

The verticles of a triangle are the points R(3,c),Q(9,2) and R(3c,11) where c is constant. Given that angle PQR is 90​

Mathematics
1 answer:
IceJOKER [234]3 years ago
5 0

Answer:

Step-by-step explanation:

Find c if ∠PQR = 90°?

I will ASSUME you mean point P is at (3. c)

slope of PQ is (2 - c) / (9 - 3) = (2 - c) / 6

slope of QR is (11 - 2) / (3c - 9) = 9 / (3c - 9)

perpendicular lines have negative reciprocal slopes.

(2 - c) / 6 = -1(3c - 9)/9

9(2 - c) = -6(3c - 9)

18 - 9c = -18c + 54

       9c = 36

         c = 4

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Sammie has 3 times as many goldfish as Nora. Nora has 4 goldfish.
defon
For Sammie the equation would be S=3N.

If Nora (N) has 4 goldfish, you substitute N=4 into the previous equation to find out how many goldfish Sammie has.

>  S= 3 x 4 
= 12

The next part of the question is asking you how many goldfish do Sammie and Nora have in all. If Sammie has 12 goldfish and Nora has 4 goldfish, the equation would be 12 + 4= 16

The answer would be 16 goldfish in total.

8 0
3 years ago
Alex wants to sew a pillow in the shape below. How many square yards of fabric are needed to sew the pillow? Fabric is only sold
r-ruslan [8.4K]

The shape is missing, so i have attached it.

Answer:

2.6

Step-by-step explanation:

From the image attached, the diameter of the inner semi - circle is 0.5 yards while the length of each side of the pillow is 0.2 yards.

Thus, for us to find the length of the seam which is along the edges of the pillow, we will calculate the perimeter of the outer semicircle, then add the perimeter of the inner semicircle and also add the sides too.

Now, due to the fact that the length of the sides of the pillow are 0.2 yards each, the diameter of the outer circle would be;

0.5 + 0.2 + 0.2 = 0.9 yards. So, the perimeter of the outer semicircle is,

P0 = πd/2 = π × 0.9/2 =0.45π yds

The perimeter of the inner semicircle would be given as;

PI = πd/2 = π × 0.5/2 =0.25π yds.

Thus, we can calculate the total perimeter of the pillow as;

PT = P0 + PI + 0.2 + 0.2

PT = 0.45π + 0.25π + 0.2 + 0.2

PT ≈ 2.6 yards

Alex will need 2.6 yds

7 0
3 years ago
Please answer ASAP!!!!!
blsea [12.9K]

Answer:

This one show a positive relationship between x axis and y axis, as the x goes up, the y goes up too.

Step-by-step explanation:

3 0
3 years ago
Point G is between F and H. FH= 102, FG=5x+9, and HG=9x-5
dexar [7]

a)

FH = 102, FG = 5x + 9. HG = 9x - 5     <em>Given</em>

  FG    +   HG   =    FH                        <em>Segment addition postulate</em>

5x + 9 + 9x - 5 =  102                         <em>Substitution</em>

            14x + 4 = 102                        <em>Simplify (added like terms)</em>

                  14x = 98                          <em>Subtraction property of equality</em>

                     x = 7                             <em>Division property of equality</em>

b)   FG = 5x + 9  = 5(7) + 9   = 35 + 9   = 44

c)   HG = 9x - 5   = 9(7) - 5   = 63 - 5   = 58

Answers: a = 7, b = 44, c = 58

7 0
3 years ago
Solve each question by graphing. round to the nearest tenth <br> 2x^2 + 5 = 11x
BARSIC [14]

Answer: x=5 and 1/2

Step-by-step explanation:

You have to go to a graph and put it simply it, makes it a lot easier, hope this helps!

6 0
3 years ago
Read 2 more answers
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