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Sloan [31]
3 years ago
10

Which number line represents the graph of the solution to the inequality 27 + 4.5x 2 81?

Mathematics
1 answer:
devlian [24]3 years ago
3 0

Answer: =27+1264.5x

Step-by-step explanation: It bascially explains itself

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AI
Iteru [2.4K]

In order to find the equivalent expression, let's use the following property:

a-(-b)=a+b

In other words, when subtracting a negative number, we can just add the corresponding positive number, that is, switch the two negative signs for a positive sign.

So we have that:

\begin{gathered} 18\frac{1}{5}-(-22\frac{2}{5})-(-40\frac{1}{5}) \\ =18\frac{1}{5}+22\frac{2}{5}+40\frac{1}{5} \end{gathered}

Therefore the correct option is D.

8 0
1 year ago
5x+7/2=3/2x-14 solve this
Alchen [17]
X=-2

You can also check by plugging -2 in for x. Here is a picture. Please notify me if I made an error!

3 0
3 years ago
Given the points (9,9) and (-6, -10) find the slope.<br><br> m =
Ivanshal [37]

1. Observe question

2. Employ Point-Slope formula

(y2 - y1)/(x2 - x1 )=

(-10-9)/(-6-9) =

-19/-15=

19/15

Slope: 19/15

5 0
2 years ago
Read 2 more answers
In the isosceles △ABC m∠ACB=120° and AD is an altitude to leg BC . What is the distance from D to base AB , if CD=4cm?
snow_lady [41]

If ΔACB is an isosceles triangle, then ∠A ≅ ∠B and AC ≅ CB

Since ∠C = 120° and ∠A + ∠B + ∠C = 180°, then ∠A = 30° and ∠B = 30°

Next, look at ΔADB.  ∠A + ∠D + ∠B = 180°, so ∠A + 90° + 30° = 180° ⇒ ∠A = 30°

Now look at ΔADC.  Since ∠A = 30° in ΔACB, and ∠A = 60° in ΔADB, then ∠A = 30° in ΔADC <em>per angle addition postulate.</em>

Now that we have shown that ΔADB and ΔADC are 30-60-90 triangles, we can use that formula to calculate the side lengths.

CD = 4 cm (given) so AC = 2(4 cm) = 8 cm

Since AC ≅ BC, then BC = 8 cm. Therefore, BD = 4 + 8 = 12 <em>by segment addition postulate.</em>

Lastly, look at ΔBHD.  Since ∠B = 30° and ∠H = 90°, then ∠D = 60°. So, ΔBHD is also a 30-60-90 triangle.

BD = 12 cm, so HD = \frac{12}{2}cm = 6 cm

Answer: 6 cm



8 0
3 years ago
Read 2 more answers
Point q is the image of Q(5, -3) after a translation down 2 units and right 4 units. What are the coordinates of Q?
Jet001 [13]

Answer:

<em>(9,-5)</em>

Step-by-step explanation:

When you go down, the number will decrease. The vertical position is the Y axis. -3-2=5.

When you go right, the number will increase. The horizontal position is the X axis. 5+4=9

<em>(9,-5)</em>

<u>Hope this helps :-)</u>

4 0
3 years ago
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