Answer:
The number is 27
Step-by-step explanation:
Let the 10s digit be x
Let the units digit be y
y = x + 5
10x + y = 3(x + y) Remove the brackets
10x + y = 3x + 3y Substitute the x + 5 into the second equation for y
10x + x + 5 = 3x + 3(x + 5) Remove the brackets on the right.
10x + x + 5 = 3x + 3x +15 Collect like terms on each side.
11x + 5 = 6x + 15 Subtract 5 from both sides
11x + 5 - 5 = 6x + 15 - 5 Collect like terms
11x = 6x + 10 Subtract 6x from both sides
11x - 6x = 6x - 6x + 10
5x = 10 Divide by 5
5x/5 = 10/5
x = 2
y = x + 5
y = 2 + 5
y = 7
Jayden ran 1/5 of his total distance in 1 minute. His total distance is 6/5 of a kilometer. He ran 6/25 of a kilometer in 1 minute or 3/5 of a lap.
<span>Triangle PQR is a right triangle. First we have to find the length of each side of the triangle. This can be done using the points provided, along with the Pythagorean theorem, which is a^2+b^2=c^2.
PR^2 = (7- -2)^2+(3-5)^2 = 85 => PR = sqrt(85)
QR^2 = (7- -1)^2+(3-1)^2 = 68 => QR = sqrt(68)
QP^2 = (1-5)^2+(-1 - -2)^2 =17 => QP = sqrt(17)
Now that we have the sides of the triangle, we can put them into the Pythagorean theorem again to see that it works out:
(Sqrt(17))^2 + (sqrt(68))^2 = (sqrt(85))^2
17 + 68 = 85
85 = 85
Since the Pythagorean theorem works for right triangles, the triangle is indeed a right triangle.</span>
The y-intercept (0,6) all you have to do when the formula is written like that just divide the opposite side by the number next to y.
