8x + 3y = 20.50
-
4x+5y=22.50
=
4x-2y=-2, so you have to divide each number by 2, then
2x-y=-1, so
-y=-1-2x /-1, y=1+2x, then replace it with one original equation like the first one for instance:
8x+3(1+2x)=20.50, then
8x+3+6x=20.50, then
14x=20.50-3
14x=17.5
x=1.25, then solve y:\
y=1+2*(1.25)
y=1+2.5
y=3.5,
So answer is x=1.25, and y=3.5
Answer:
full arrow going left from 46
Step-by-step explanation:
Answer:
3. x= 20.1
4. x = 22.0
Step-by-step explanation:
SohCahToa. S= sin, C= cos, T=tan.
o = Opposite (the side on the other side of the given angle, also referred to as theta.)
h = Hypotenuse (the side on the other side of the right angle, represented as the square thing.)
a = Adjacent (side next to the given angle.)
3. We have opposite = x, adjacent = 24. We can use tan (Toa.)
tan(40º) = x/24 Multiply both sides times 24.
x = 24*tan(40º) Put into calculator
x = 20.1
4. We have adjacent = 12, hypotenuse = x. We can use cos (Cah.)
cos(57º) = 12/x Multiply both sides by x
x*cos(57º) = 12 Divide by cos(57º)
x = 12/cos(57º) Put into calculator
x = 22.0
<h3>
Answer: f(x) = x + 13 </h3>
This is the same as y = x+13
=============================================================
Explanation:
Let's find the slope
I'll use the first two rows as the (x1,y1) and (x2,y2) points
m = (y2-y1)/(x2-x1)
m = (19-18)/(6-5)
m = 1/1
m = 1
The slope is 1.
Now apply the point slope formula and solve for y
y - y1 = m(x - x1)
y - 18 = 1(x - 5)
y - 18 = x - 5
y = x-5 + 18
y = x + 13
f(x) = x + 13 is the final answer
As a check, note how something like x = 5 leads to...
f(x) = x+13
f(5) = 5+13 ... replace x with 5
f(5) = 18
We see that x = 5 leads to f(x) = 18. That verifies the first row. I'll let you check the remaining three rows.
The equation y = x+13 has slope 1 and y intercept 13.
Answer:
15.4mm
Step-by-step explanation:
108/7