Answer:
x=7 (if your teacher cares it could + or - 7)
Step-by-step explanation:
Okay, since it's a 90 degree triangle you can use the Pythagorean theorem
( a^2 + b^2 = c^2)
Since it's an isosceles triangle the other side is x because it's the same value.
x^2 + x^2= (7
)^2
Add the left side
2x^2= 7^2 +
^2 roots and square roots cancel each other out
So -> 2x^2= 49 x 2 =98
just solve for x.
x^2 = 98/2
x^2= 49
Square root both sides
x= 7
A:12/3 = -4
b:-12/3 = -4
c:-12/-12 = 4
e:-5/5 = -1
f:5/-5 = -1
g:-5/-5 = 1
Answer:
The length of the board is 60 inches. It's cut into two parts so that the longer piece is 5 times of the shorter part. The equation is formed as under...
Let's assume the shorter part is … x then the longer part is... 5x. The total parts are..
x + 5x = 6x and given that 6x is equal to 60 inches. Therefore...
If 6x = 60 inches then
x = 60/6 = 10 inches and the longer piece is 5x = 5.10 = 50 inches.
The shorter piece is 10 inches long and the length of the longer piece is 50 inches. Answer. Thanks.
Step-by-step explanation:
not sure
Answer:
7
Step-by-step explanation:
Ordered pair for 6x-4y=16
Answer:
y = 0.5x² +3x +5
Step-by-step explanation:
There are several ways to do this. The most straightforward may be to fill three table values into the equation and solve for a, b, c. Using the first three values, the equations would be ...
y = ax² + bx + c
- 0.5 = 9a -3b +c . . . . first point
- 1.0 = 4a -2b +c . . . . second point
- 2.5 = a -b +c . . . . . . third point
Solving this system of equations by your favorite method gives ...
a = 0.5, b = 3, c = 5
so the quadratic is ...
y = 0.5x² +3x +5
__
Since you are given the y-intercept (0, 5), you know the constant in the equation is 5. The given table values are equally-spaced, so finding differences can be informative.
first differences: 1 -0.5 = 0.5; 2.5 -1 = 1.5; 5 -2.5 = 2.5; 8.5 -5 = 3.5
second differences: 1.5 -0.5 = 1; 2.5 -1.5 = 1; 3.5 -2.5 = 1
That is, second differences are 1, which value is double the "a" coefficient of the equation. So, we know the equation is ...
y = 0.5x² +bx +5
Filling in x=1, we get
8.5 = 0.5 +b +5
3 = b
and the equation is ...
y = 0.5x² +3x +5
__
You can also let your graphing calculator or spreadsheet program show you a quadratic regression equation through these points. It gives the same result.