Answer:
tan(23° -21°) = (tan(23°) -tan(21°))/(1 +tan(23°)tan(21°))
Step-by-step explanation:
The formula for the tangent of the difference of angles is ...
tan(a-b) = (tan(a) -tan(b))/(1 +tan(a)tan(b))
Filling in the values a=23° and b=21°, you get the formula shown above.
Answer:
87p+34
Step-by-step explanation:
Using the distributive property, you have to distribute -7. -7(-6<em>p)</em>=42<em>p</em>. -7(8)=-56. Therefore your first half of the equation can be simplified to <em>42p-56. </em>You will also have to distribute in the second half. 9(5<em>p</em>)= 45<em>p</em>. 9(10)=90. So your second half is 45p+90. Now to complete the problem, you must combine those two halves. So now your answer will be <em>42p-56+45p+90. </em>Now you just need to combine like terms and you final answer will be <em>87p+34. </em>Hope this helped!
Answer:
17
Step-by-step explanation:
Answer:
A = (x + 7)(x + 9)
Step-by-step explanation:
Let the width w = x
then length l = w + 4 = x + 4
Area = length x width
= x(x+4)
Then the the width is increased by 7 units and the length increased by 5 units.
w = x + 7
l = (x + 4) + 5 =x + 9
A = (x + 7)(x + 9)
Answer: x=-1 and y= -3
Step-by-step explanation:
Solve for x, x+y=-4
Minus y from both sides so it'll be X=-y-4
Now substitute -y-4 in x-y=2 and solve for y
-y - 4 -y=2
Add like terms, -2y - 4=2
Add 4 to both sides -2y=6
Divide both sides by -2
y= -3
Substitute -3 in x=-y - 4
x=-(-3) - 4
- × (-3)= 3
3 - 4= -1
x= -1