HERE IS HOW TO SOLVE:
Simplify {2}^{2}2
2
to 44
4x-3={(\frac{1}{6})}^{3}x+94x−3=(
6
1
)
3
x+9
2 Use Division Distributive Property: {(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}(
y
x
)
a
=
y
a
x
a
4x-3=\frac{1}{{6}^{3}}x+94x−3=
6
3
1
x+9
3 Simplify {6}^{3}6
3
to 216216
4x-3=\frac{1}{216}x+94x−3=
216
1
x+9
4 Simplify \frac{1}{216}x
216
1
x to \frac{x}{216}
216
x
4x-3=\frac{x}{216}+94x−3=
216
x
+9
5 Multiply both sides by 216216
864x-648=x+1944864x−648=x+1944
6 Add 648648 to both sides
864x=x+1944+648864x=x+1944+648
7 Simplify x+1944+648x+1944+648 to x+2592x+2592
864x=x+2592864x=x+2592
8 Subtract xx from both sides
864x-x=2592864x−x=2592
9 Simplify 864x-x864x−x to 863x863x
863x=2592863x=2592
10 Divide both sides by 863863
ANSWER: x= 2592 over 863
Answer:
x ≈ 44.80
Step-by-step explanation:
As it's a right angle triangle so we will use rules of trigonometry.
The tangent of the angle = the length of the opposite side /
the length of the adjacent side
First we need to find angle z
<h2>angle z</h2>
52° + z° + 90° = 180° <em> sum of angles of triangle</em>
142° + z° = 180°
z° = 180 - 142
z° = 38°
<h2>x</h2>
Tan z° = opp / adj
Tan 38° = 35 / x
x = 35 / Tan 38°
x = 35 / 0.78
x = 44.7979
x ≈ 44.80 <em> (correct to 2 decimal place)</em>
Answer:
The length of the skateboard in the draw is
Step-by-step explanation:
we know that
The scale drawing is equal to
That means
1 inch in the draw is equal to 14 inches in the actual
so
To find the dimensions of the draw multiply the scale drawing by the actual dimensions
<u>Find the length of the skateboard in the draw</u>
<u>Find the width of the skateboard in the draw</u>
Answer:
- It is the last graph: solid line, shaded area over the line x = 2 - x/2
Explanation:
1) <u>Set the algebraigic expression that represents the combinations of sofa and pillow orders:</u>
- Number of sofas: x (given)
- Number of pillows: 2y (given, since they come in pairs)
- Number of items = number of sofas + number of pillows = x + 2y
- Minimum of 4 items in each order (given) ⇒ x + 2y ≥ 4
<u>2) Predict the graph of the inequality x + 2y ≥ 4</u>
- The border line is the equation x + 2y = 4
- You can choose two points to draw a line
- Choose the axis-intercepst:
x = 0 ⇒ 2y = 4 ⇒ y =4/2 ⇒ y = 2 ⇒ point (0,2)
y = 0 ⇒ x = 4 ⇒ point (4,0)
Then the lines goes through (0,2) and (4,0) ... [the four graphs meet this]
- The shading area is above the line because when you solve for y you get y ≥ 2 - x/2, and the line is included because the "equal to" part of the symbol (≥ means greater than or equal to).
- To state that the line is included the graph uses a continous line instead of a dotted one.
<u>3) Conclusion:</u>
That means that the correct graph is the last one: solid line, shaded area over the line y = 2 - x/2.
Note: a more detailed graph would include the fact that the items cannot be negative, i.e. x ≥ 0 and y ≥ 0, which would result in that the shaded area would be on the first quadrant.