Answer:
The equation 2d + 18 = 24 can help find the number of days Jerry has been doing sit-ups.
Step-by-step explanation:
During the first day, Jerry did 18 sit-ups, and he proceeded to do 2 more sit-ups each following day, so the expression to represent this situation is 2d + 18. Because he did 24 sit-ups today, to find the number of days he did sit-ups, the equation to solve is 2d + 18 = 24.
Answer:
Explanation:
3 + 2x - y = 0
Or 2x - y = -3 (1)
-3-7y = 10x
Or -10x - 7y = 3 (2)
2x - y = -3 (1)
-10x - 7y = 3 (2)
———————
Multiply 5 to (1)
5(2x - y = -3)
-10x - 7y = 3
———————
10x - 5y = -15
-10x - 7y = 3
———————
-12y = -12
y = -12/-12
y = 1
Plug y value in (1)
2x - 1 = -3
2x = -3 + 1
2x = -2
x = -2/2 = -1
Therefore, x = -1 and y = 1
Answer:
61/5= 12.2 centimeters per minute
Step-by-step explanation:
The correct answer is D
The equation of a circle is (x-h)^2 + (y-k)^2 = r^2
to find (h,k), you find the middle of the circle, in this scenario you do so by finding the middle of the diameter, a line that goes through the center of the circle.
To find the X value of the midpoint, add both x values together and divide by 2 and repeat for y
-13 + -1 = -14
-14/2 =-7
10+ -6 = 4
4/2 = 2
therefore (h,k) = ( -7, 2 )
Next plug these values in the equation of a circle
(x-h)^2 + (y-k)^2 = r^2
becomes
(x- (-7)) ^2 + (y-(2)) ^2 = r^2
to find r, use the distance formula to find the length of the diameter, 20, and divide by 2
plug 10 in for r and you get 100
(x+7)^2 + (y-2)^2 = 100
sorry for the late response
9514 1404 393
Answer:
52°, 40°, 88°
Step-by-step explanation:
Let x represent "one angle". This is 30% larger than "the other", so we have ...
x = "the other" × (1 +30%)
x/1.30 = "the other"
If x is 36° smaller than the third, then the third is x+36.
__
The sum of the angles is 180°.
x + x/1.3 + (x +36) = 180
x(2 +1/1.3) = 144
x = 144/(2 +1/1.3) = 52
x/1.3 = 52/1.3 = 40
x +36 = 88
The angles of the triangle are 52°, 40°, and 88°.
