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lesantik [10]
3 years ago
10

Solve and graph the following inequalities

Mathematics
1 answer:
Lelechka [254]3 years ago
5 0
6x+8 <62
     -8 < -8
6x/6     54/6

Answer: x< 9
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Why cant i understand this
sweet-ann [11.9K]

Answer:

that is corret

Step-by-step explanation:

it sound goos

5 0
2 years ago
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
3 years ago
Tell whether the ordered pair (−1, 4) is a solution of the system.
lina2011 [118]

Answer:

(-1,4) is a solution to the system.

Step-by-step explanation:

For this problem, we can simply identify if this point is a solution by verifying the plugged in point values allow the left hand side to equal the right hand side.

(1) -2x - 3y = -10

 -2(-1) - 3(4) ?= -10

 2 - 12 ?= -10

 -10 == -10

(2) -3x + y = 7

 -3(-1) + (4) ?= 7

 3 + 4 ?= 7

 7 == 7

Since both equations are satisfied by this point, then we can say the point (-1,4) is a solution to the system.  Additionally, this means this is a crossing point of the system of equations.

Cheers.

6 0
3 years ago
What are solutions of 3y&gt;2x when y=6? Can any one help with steps plz
Angelina_Jolie [31]
First, you just need to disregard the greater than sign because these types of equation is solved the same way as those with equals (=) sign in the middle. So when y=6,
First you need to substitute y=6 to the y in 3y

3(6)>2x

By multiplying,

18>2x

By dividing both sides of the equation by 2

18/2 > 2x/2

9>x

However if you want to transpose x to the left side of the equation, you also need to reverse the sign to <

Which means

X<9

8 0
3 years ago
Read 2 more answers
Pre drove 34.8 miles on Friday, 71.15 miles on
Pavel [41]

Answer:

146.85

Step-by-step explanation:

Pre drove 146.85 miles over the 3 day weekend.

7 0
3 years ago
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