Yes, because they both have the same slope, and a translation doesn't have an affect of the slope. Both slopes are 1, because they are going +1x and +1y, or 1/1 which = 1.
<span>ax + by + c = 0
by = - ax - c
y = -a/b (x) - c/b
so slope = </span>-a/b
answer
-a/b
Answer:
0.5025%
Step-by-step explanation:
The question is on increase and decrease
The old interest rate= .5%⇒0.5%
percentage increase= 1/2%= 0.5%
New rate= it requires you to increase 0.5 by 0.5%
New rate is ⇒100%+ 0.5%=100.5%
New rate⇒(100.5/100)×0.5 =0.5025
New rate as a decimal is 0.5025%
Answer:
w2-6w-27
Step-by-step explanation:
FOIL
First
Outer
Inner
Last
This is the theorem that I use, so to expand, you multiply the first number in the equation so it would be w times w because in (w-9) and (w+3) w is the first term. So now you do the outer number which is the first and last number in the equation which is w and 3 and we multiply them together. now we do the inner, which are the two inner terms, which are -9 and w and we multiply them. Now we do the last terms in each ( ) which is -9 and 3 and we multiply them. This is kinda hard to get used to, but it helps so much when you are trying to expand trinomials that are multiplied together!
so we add all the answers we got for first, outer, inner and last numbers
w*w+w*3+-9*w+-9*3
w2+3w-9w-27
w2-6w-27
Hope that helps :)
Answer:
b = -5
Step-by-step explanation:
Let's figure this equation, step by step.
-3b + 8 = 38 + 3b
<em>Step 1: Subtract 3b from both sides. This cancels out the addition by 3b.</em>
-3b + 8 - 3b = 38
<em>Step 2: Combine -3b and -3b to get -6b.</em>
-6b + 8 = 38
<em>Step 3: Subtract 8 from both sides. This cancels out the addition by 8.</em>
-6b = 38 - 8
<em>Step 4: Subtract 8 from 38 to get 30.</em>
-6b = 30
<em>Step 5: Divide both sides by -6. This undoes the multiplication by -6.</em>
b = 30/-6
<em>Step 6: Divide 30 by -6 to get -5.</em>
b = -5
Let's check our work by substituting -5 for b in the equation above.
-3(-5) + 8 = 38 + 3(-5)
15 + 8 = 38 + (-15)
23 = 23
Both sides are the same, so b = -5.
