Answer:
= 28/3
Step-by-step explanation:
Let's solve your equation step-by-step.
x(3)−(8)(2)−9x+72=0
Step 1: Simplify both sides of the equation.
x(3)−(8)(2)−9x+72=0
3x+−16+−9x+72=0
(3x+−9x)+(−16+72)=0(Combine Like Terms)
−6x+56=0
−6x+56=0
Step 2: Subtract 56 from both sides.
−6x+56−56=0−56
−6x=−56
Step 3: Divide both sides by -6.
−6x
−6
=
−56
−6
x=
28
3
Answer:
x=
28
3
<span>When you add fractions, the denominators must be the same, so you may have to generate equivalent fractions by using the lowest common multiple of all the denominators. For subtraction of fractions, you use the same method. When multiplying fractions, you can only multiply the numerators together, and the denominators together. </span>
Here we have some problems about circles, the solutions are:
- a) 490.6 yd^2
- b) x = 15
- c) x = 27
<h3>
How to find the area of a circle?</h3>
We know that for a circle of diameter D, the area is given by:
A = pi*(D/2)^2
where pi = 3.14
In the image we can see that the diameter of the circle is 25 yd, replacing that in the area equation we get:
A = 3.14*(25yd/2)^2 = 490.6 yd^2
<h3>How to find the value of x?</h3>
<u>For the second image</u>, each line creates two 180° angles. So, if we look at the tilted line, we can see that it is divided in two angles, one of 37° and the other that depends of x, so we can write:
180° = 37° + (9x + 8)°
180° - 37° - 8° = (9x)°
135°/9° = x = 15
So the value of x is 15.
For the last image:
Notice that we have a 90° angle denoted, then <u>the other 3 sections must add up to 270°.</u>
270° = 54° + (2x + 21)° + (5x + 6)°
Now we solve this for x:
270 - 54 - 21 - 6 = 2x + 5x
189 = 7x
189/7 = x = 27
x is equal to 27
If you want to learn more about circles, you can read:
brainly.com/question/25306774
Answer:
m∡ZA = 51°
m∡ZB = 39°
Step-by-step explanation:
∡ZB = 'b'
∡ZA = '12 + b'
b + 12 + b = 90
2b + 12 = 90
2b = 78
b = 39
12 + 39 = 51
Answer:
3
Step-by-step explanation:
divide the equation by two
to make the equation equal to y
so y=(6x-8)/2
y=3x-4
y=mx+b
m=slope
b=y intercept
so 3=slope
Hope that helps :)
