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VashaNatasha [74]
4 years ago
11

How many solutions does the equation 3x + 6 equals -1 - 3 + 4x have?

Mathematics
2 answers:
Diano4ka-milaya [45]4 years ago
8 0
This equation has 1 solution
wariber [46]4 years ago
3 0
3x + 6 = -1 - 3 + 4x
Combine like terms on the right side.

3x + 6 = -4 + 4x
Add 4 to both sides.

3x + 10 = 4x
Subtract 3x from both sides.

10 = x

The equation has one solution (10).
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A small plane and a large plane are 6.8km from each other, at the same altitude (height). From an observation tower, the two air
Lemur [1.5K]

Answer:

7.9km

Step-by-step explanation:

(a)See attached for the diagram representing this situation.

(b)

In Triangle ABC

\text{Using Law of Sines}\\\dfrac{\sin A}{a}=\dfrac{\sin C}{c} \\\dfrac{\sin A}{5.2}=\dfrac{\sin 58^\circ}{6.8} \\\sin A=5.2 \times \dfrac{\sin 58^\circ}{6.8}\\A=\arcsin (5.2 \times \dfrac{\sin 58^\circ}{6.8})\\A=40.43^\circ

Next, we determine the value of Angle B.

\angle A+\angle B+\angle C=180^\circ\\40.43+58+\angle B=180^\circ\\\angle B=180^\circ-(40.43+58)\\\angle B=81.57^\circ

Finally, we find b.

\text{Using Law of SInes}\\\dfrac{b}{\sin B}=\dfrac{c}{\sin C} \\\dfrac{b}{\sin 81.57^\circ}=\dfrac{6.8}{\sin 58^\circ} \\b=\dfrac{6.8}{\sin 58^\circ} \times \sin 81.57^\circ\\b=7.9km $ (to the nearest tenth of a kilometer)

The distance between the small plane and the observation tower is 7.9km.

8 0
4 years ago
Rewrite the following equation in slope-intercept form.
Tamiku [17]

Hi there!

Slope intercept form is y=mx+b. To do this, we just need to isolate y. This can be done by first moving everything that doesn't involve a y to the other side, and then dividing by the coefficient:

16x+17y=-2

17y=-2-16x

y=-\frac{2}{17}-\frac{16}{17}x

And there you have your answer, just above.

Hope this helps, feel free to let me know if you have any additional questions about this specific problem!

8 0
3 years ago
Solve 4^3x=8 by graphing
RSB [31]
Y = mx + b 

<span>mx is the slope, with m being the actual slope and x being there to signify that that is the slope. b is the y-intercept. </span>
<span>-- </span>
<span>y = 4/3x + 8 </span>

<span>In this case, 8 is the y-intercept. Plot a point at (0,8). </span>

<span>4/3 is the slope. After you plotted the y-intercept, go up 4 spaces, then go to the right 3 spaces. </span>

<span>Then draw a line connecting the dots. </span>
5 0
3 years ago
Don has 5 pieces of pipe. Each piece is 3 feet 4 inches long.
masha68 [24]

Answer:

16 feet and 8 inches

Step-by-step explanation:

Multipy 3 feet 4 in by 5:

15 feet and 20 inches

Convert 20 inches to feet

1 foot 8 in

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16 feet and 8 inches

8 0
3 years ago
What is 791.483 rounded to the nearest whole number?
xxTIMURxx [149]

Answer: 791.483 rounded to the nearest whole number would be 791


Step-by-step explanation:


3 0
3 years ago
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