Answer:
AC = 127,26 f distance from home plate to second base
Step-by-step explanation:
Let call A , B , C Home plate, first base and second base respectively
These three point form a right triangle with legs ( AB = BC = 90 feet)
we have an isosceles triangle with a right angle and two angles of 45⁰
So we need to compute distance AC (hypotenuse)
AC² = AB² + BC² ⇒ AC² = 2AB² ⇒ AC = AB √2
AC = 90 * 1,414
AC = 127,26 f
Answer:
106.153
Explanation
Answer:
15 nickels were there with Alexis
Step-by-step explanation:
Let there be x nickels
given that
The number of dimes is 5 less than twice the number of nickels.
no of dimes in terms of x = 2*number of nickels - 5 = 2x - 5
we know that
value of 1 nickel = 5 cents
then
value of x nickel = 5*x cents = 5x cents
we know that
value of 1 dime = 10 cents
then
value of 2x-5 dime = 10(2x - 5) cents = 20x - 50 cents
Total value of x nickel and 2x -5 dimes = 5x + 20x - 50 = 25x - 50
given that
Alexia has total of $3.25 in nickel and dimes thus 25x - 50 must be equal to $3.25
$1 = 100 cents
$3.25 = 3.25 * 100 cents = 325 cents
Thus,
25x - 50 = 325
25x = 325 + 50 = 375
x = 375/25 = 15
Thus, no of nickels = x = 15 answer
Answer:
1 Subtract 8x8x from both sides.
fx-8x=-10fx−8x=−10
2 Factor out the common term xx.
x(f-8)=-10x(f−8)=−10
3 Divide both sides by f-8f−8.
x=-\frac{10}{f-8}x=−
f−8
10
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
1 Subtract 2x2x from both sides.
gx-2x=-7gx−2x=−7
2 Factor out the common term xx.
x(g-2)=-7x(g−2)=−7
3 Divide both sides by g-2g−2.
x=-\frac{7}{g-2}x=−
g−2
7
Answer:
The hole is at (5,7)
Step-by-step explanation:
x^2 − 3x − 10
-------------------
x−5
Factor the numerator
(x-5)(x+2)
-------------------
x−5
There is a hole at x=5 since it will cancel in the numerator and the denominator
f(x) = x+2 and letting x = 5
f(5) = 5+2
The hole is at (5,7)
