Answer:
r = -3.2
Step-by-step explanation:
-0.6(r+0.2) = 1.8
Divide by -.6
-0.6/-.6(r+0.2) = 1.8/-.6
r+.2 = -3
Subtract .2 from each side
r+.2-.2 = -3-.2
r = -3.2
Answer:
e=14
Step-by-step explanation:
15/21 =10/e
by cross multiplying,
e×15=21×10
15e=210
e=210/15
e=14
Hi! Let me help you!
- Remember, factoring looks like so:
- ab+ac=a(b+c)
- So, we need to find the greatest common factor (G.C.F.) of the polynomial.
- In this case, 6 is the GCF, so we factor it out:
- 6x²+66x+60
- Divide 6, 66 and 60 by 6:
- x²+11x+10
<u>Answer:</u>
x²+11x+10
Hope you find it helpful.

The height of the chimney above the floor of the observation deck is 52.4 ft
Two right angle triangle will be formed.
<h3>Right angle triangle:</h3>
Right angle triangle are triangle that has one of its angle as 90 degrees.
Therefore, using trigonometric ratio,
adjacent side = distance of observer from the bottom edge of the Delaware River drawbridge observation deck
Therefore,
tan 40 = opposite / adjacent
Where
x = height of the observer to the top of the observation deck
tan 40 = x / 200
x = 200 tan 40
x = 167.819926235
x = 167.82 ft
tan 30 = opposite / adjacent
y = height of the observer to the bottom of the observation deck
tan 30 = y / 200
y = 200 tan 30
y = 115.470053838
y = 115.47 ft
The height of the chimney above the floor of the observation deck = height of the observer to the top of the observation deck - height of the observer to the bottom of the observation deck
The height of the chimney above the floor of the observation deck = 167.82 - 115.47 = 52.35 ft
learn more on trigonometric ratio here: brainly.com/question/23854119
Answer:
F(x) = 6x + 5.
Step-by-step explanation:
Given that :
Number of cards Given to Sébastian = 4
Number of baseball cards purchased every month = 6 cards
Number of months = x
Linear function f(x) which shows the number of cards after a number of months:
(Number of cards produced per month * Number of months) + number of card `
F(x) = 6x + 5