Answer:
x=31
y=15
Step-by-step explanation:
let x and y be the 2 part
x+y=46
x-2y=1 ⇒ x=1+2y
substitute :
1+2y+y=46
3y=46-1
3y=45 ⇒ y=45/3=15
x-2y=1
x-2(15)=1 ⇒ x=1+30 ⇒x=31
x= 2 times y(15)+1
y=15
31+15=46
Answer:
Explanation: The formula for the equation of a circle is shown below.
(x - h)² + (y - k)² = r²
In the equation, (h,k) is the center of the circle and <em>r</em> is the radius.
To find the radius, we look at the original formula and notice that the radius squared is equal to 16 or <em>r² = 16</em>.
Simply take the square root of both sides to get <em>r = 4</em>.
So this circle has a radius of 4.
Answer: y=55 x=6
Step-by-step explanation: Because of the two equivalent lines in lines DE and FE we know that the angles D and F must be equal, therefore y is 55. And now we know that angles D and F add up to 110 and because all of the angles in a triangle add up to 180, angle E must equal 70.
Angle E- (11x+4)=70
-4 -4
11x=66
divide both sides by 11
x=6
When it has the line under the sign that means the dot is closed. For example that is closed because it x is greater than or equal to -1, so if it has a line under the > sign that means the dot is closed
Answer:
The first mechanic worked for 20 hours and the second mechanic worked for 5 hours
Step-by-step explanation:
Let f be the number of working hours of first mechanic
Let s be the number of working hours of second mechanic
Given that they both worked for a combined total of 25 hours
⇒f + s = 25 → equation 1
First mechanic charged $95 per hour and second mechanic charged $90 per hour and they both together charged $2350
⇒95f + 90s = 2350 → equation 2
Using equation 1 in equation 2:
95f + 90(25-f) = 2350
⇒95f + 2250 - 90f = 2350
⇒5f = 100
or f = 20 hours
⇒s = 25 - f ⇒ s = 5 hours
<u>The first mechanic worked for 20 hours and the second mechanic worked for 5 hours</u>