Answer:
x = 486956.5217
Step-by-step explanation:
5.75% of x = 28000
Of means multiply
Change the percent to a decimal
.0575 * x = 28000
Divide by .0575 on each side
.0575/.0575 * x = 28000/.0575
x = 486956.5217
Answer:
Pythagorean Theorem Statement is below.
Therefore the value of x is 9 m.
Step-by-step explanation:
Given:
Label the vertices as A , B , C shown in figure below such that
∠A = 90°
AC = Longer leg = 12 m
AB = Shorter leg = x
BC = Hypotenuse = 15 m
To Find:
x = ?
Solution:
Pythagorean Theorem :
Pythagorean Theorem States that "the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides".
Which can be Written as
OR
i.e 
Substituting the values AB ,AC, BC we get
Therefore the value of x is 9 m.
Answer:
(0,1/3)
(1,0)
(2,-1/3)
Step-by-step explanation:
9514 1404 393
Answer:
15
Step-by-step explanation:
In vector form, the equation of point p on the line can be written as ...
p = (-3, -4) +t(25 -(-3), 38 -(-4)) . . . . . for some scalar t
p = (-3, -4) +t(28, 42)
p = (-3, -4) +14t(2, 3)
where t takes on any value between 0 and 1.
If we let t = n/14 for some integer 0 ≤ n ≤ 14, then the coordinates of point p will be integers.
There are 15 values that n can have in the allowed range.
The caterpillar touches 15 points with integer coordinates.
Answer:
44
Step-by-step explanation:
Given a polynomial f(x) divided by (x + h) then the remainder is f(- h)
Here f(x) is divided by (x + 4), thus remainder is calculated as
f(- 4) = (- 4)³ + 5(- 4)² - 7(- 4)
= - 64 + 5(16) + 28
= - 64 + 80 + 28 = 44 ← Remainder
