In this item, we are given with the slope, m = 2/3 and intercept of (1,1). The equation of the line that contains these properties is,
y - y₁ = m(x - x₁)
Substituting the known values,
y - 1 = (2/3)(x - 1)
Simplifying,
3y - 3 = 2x - 2
Further simplifying,
<em> 2x - 3y = -1</em>
When you rotate across the x-axis it will be in quadrant 4 now and then when rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all you do is make both x and y negative.
hope this helps:))
Answer: y = 7
Step-by-step explanation:
Step 1) plug in 3 for y and 9 for x in the direct variation formula, which is y = kx
3 = k(9)
Step 2) Solve for k
3 = k(9) (Divide by 9 on both sides)
3/9 = k (Now simplify 3/9)
1/3 = k. So k = 1/3
*just FYI: “k” is the constant of variation.
Step 3) use the equation y = kx and plug in 1/3 for k
y = 1/3x
Step 4) using the equation y = 1/3x, plug in 21 for x.
y = 1/3(21) (1/3*21 is the same as 21/3)
y = 21/3 (21/3 = 7)
y = 7. So that’s you’re answer! When x=21, y=7 because 7 is 1/3 of 21!
Hope this helps! My best wishes to you as you go through school!
With any equation you are allowed to take the logarithm of both sides so
5^c=125 now take the logarithm base 5 to both sides giving.
log5(5^c)=log5(125), using the rule log(a^b)=a*log(b) you get
c log5(5)=log5(125), since log5(5)=1
c=log5(125)
Answer:B
Step-by-step explanation:
He charged the man $25.75 for each hour and he worked for 3 hours so multiply $25.75 x 3 = $77.25
