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elena-14-01-66 [18.8K]
3 years ago
12

The number p is 20 more than the number q . using algebra write the relationship between p and q .

Mathematics
1 answer:
Anarel [89]3 years ago
3 0
From what we know, p is 20 more than q. So, we can assume p = 20 + q. Q can also be found by subtracting 20 from both sides. So, q = p - 20.

Hope this helped!
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A figure lies on a coordinate plane with point B located at (2,-5). The figure is rotated 90 degrees counter-clockwise around a
Rufina [12.5K]
<h3>Answer:  (12,3)</h3>

======================================================

Explanation:

R is located at (3,4). Move it 3 units to the left and 4 units down to have it move to (0,0). Call this point A. Apply the same translation rule to point B so that (2,-5) moves to (-1,-9). Let's call this point C

Now you'll use the rule (x,y) \to (-y,x) which rotates any point around the origin 90 degrees counterclockwise. So we're rotating C around A.

Point C has the coordinates (-1,-9). When you use the rotation rule (x,y) \to (-y,x) we get (-1,-9) \to (-(-9), -1) = (9, -1). We'll call this point D

Finally, undo the translation rule done at the start of the problem. So we'll go 3 units to the right and 4 units up to have point D move to point E = (12,3) which is exactly where point B' is located.

Check out the diagram below.

7 0
3 years ago
The field inside a running track is made up of a rectangle that is 84.39 m long and 73 m wide, together with a half-circle at ea
ioda

Answer:

The distance around the inside is 199.44 m.

Step-by-step explanation:

Given that,

Length = 84.39 m

Width = 9.76 m

Suppose, all the way around and 73 m wide.

We know that,

Perimeter of half circle is

perimeter = \pi r

We need to calculate the inner radius of the circle

Using formula of radius

r=\dfrac{D}{2}

Put the value into the formula

r=\dfrac{9.76}{2}

r=4.88\ m

We need to calculate the distance around the inside

Using formula of distance

Distance around the inside= two inner perimeter of the circle+two length of rectangle

D=2\pi r+2l

Put the value into the formula

D=2\pi\times4.88+2\times84.39

D=199.44\ m

Hence, The distance around the inside is 199.44 m.

6 0
3 years ago
If 4x^2 - 100 = 0 then the roots of the equation are
iVinArrow [24]
4x² - 100 = 0
<u>     + 100  + 100</u>
         <u> 4x²</u> = <u>100</u>
          4        4
           x² = 25
            x = <u>+</u>5
 4(5)² - 100 = 0
4(25) - 100 = 0
  100 - 100 = 0
               0 = 0

4(-5)² - 100 = 0
 4(25) - 100 = 0
   100 - 100 = 0
                0 = 0

The roots of the equation is positive or negative 5.
8 0
3 years ago
Read 2 more answers
Number of Songs Total Cost
julsineya [31]

Answer:

0.79

Step-by-step explanation:

8 0
3 years ago
What is the inverse of the functionf(x)=2x+1
inna [77]
To find the inverse you have steps
1. replace f(x) with y
2. swich x and y places
3. solve for y
4. replace y with f⁻¹(x) (read 'f inverse')

so we have
f(x)=2x+1

replace f(x) with y
y=2x+1

switch x and y
x=2y+1

solve for y
x=2y+1
subtract 1
x-1=2y
divide both sides by 2
\frac{x-1}{2}=y
y=\frac{x-1}{2}
repplace y with f⁻¹(x)
f⁻¹(x)=\frac{x-1}{2}



7 0
3 years ago
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