Answer:
x = -4
Step-by-step explanation:
3(2x+8)=0
Divide each side by 3
3/3(2x+8)=0/3
2x+8 = 0
Subtract 8 from each side
2x+8-8=0-8
2x = -8
Divide by 2
2x/2 = -8/2
x = -4
Okie dokie,
When converting a decimal, you use the place the decimal is in...
Let's review the places: tenths, hundredths, thousandths, etc.
You look at the last number to determine what place you're using!
-------------------
Now here's an example for the
tenths place:
.5
it's in the tenths place, right? so put it over that number (with no decimal) over a
10.
(mobile) 5/10 or

Now, decide if you can simplify. You can! 5/10 simplifies down to
1/2.

is your answer!
--------
Example for the
hundredths place:
.26
the last number is in the hundredths place, so put the number (without a decimal) over
100!26/100 or

You can simplify this!
13/50 is your answer!
Calculators can also come in handy!
Good luck!
Answer:
Step-by-step explanation:
The question lacks the required diagram. Find the diagram attached below;
According to the first triangle, taking 30° as the reference angle, the opposite side of the triangle will be 5 and the adjacent will be the unknown side "b"
According to SOH, CAH, TOA;
tanθ = opposite/adjacent (using TOA)
Given;
θ = 30°, opposite = 5 and adjacent = b
tan30° = 5/b
b = 5/tan30°
b = 5/(1/√3)
b = 5*√3/1
b = 5√3
According to the 45° triangle, the opposite side of the triangle will be d and the hypotenuse will be 7
Using SOH;
sinθ = opposite/hypotenuse
Given;
θ = 45°, opposite = d and adjacent = 7
sin45° = d/7
d = 7sin45°
d = 7(1/√2)
d = 7/√2
Rationalize 7/√2
= 7/√2*√2/√2
=7√2/2
Hence the value of d is 7√2/2
Answer:
72
Step-by-step explanation:
If you take s + 19 = 8s - 100 , you will get 17, so s = 17. Plus 17 into 4s + 4 and you will get 72. DC = BE, so BE = 72.