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Andrew [12]
2 years ago
7

The solution of a system of linear equations is (4,-2).

Mathematics
1 answer:
Romashka [77]2 years ago
3 0
Y=-x+2
2y=x-8
these two lines both go through the point (4,-2)
solve: substitute the y in the second equation with (-x+2):
2(-x+2)=x-8
-2x+4=x-8
add 2x on both sides:
4=3x-8
add 8 on both sides: 12=3x
divide by 3 on both sides: x=4.
find y: y=-x+2=-4+2=-2
the solution is (4,-2)
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Let the two parts with equal length have length x.
The longer part has length x + 20.

The sum of the three lengths is 695 m.

x + x + x + 20 = 695

3x + 20 = 695

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x = 225

x + 20 = 245

The two short parts measure 225 m, and the long part measures 245 m.
5 0
2 years ago
En el colegio se realizó una campaña para medir el grado de obesidad de la población estudiantil. En la escuela hay 1 430 alumno
Lemur [1.5K]

Answer:

1144 o 286

Step-by-step explanation:

Si pregunta por la cantidad de personas que se pesaron, la respuesta es (8/10) * (1430) = 8 * 143 = 1144.

Si desea saber cuántas personas no se pesaron, la respuesta es 1430* (2/10) = 286

7 0
3 years ago
Multiply the trinomial x^2+xy+y^2 times the binomial x-y and simplify.
Natalija [7]
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x^3-y^3  which if factored is:

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6 0
2 years ago
Which of these problem types cannot be solved using the law of sines
timama [110]

Answer: The correct option are B, C and D.

Explanation:

The law of sine states that,

\frac{\sin A}{a} =\frac{\sin B}{b}=\frac{\sin C}{c}

Where A, B, C are interior angles of the triangle and a, b, c are sides opposite sides of these angles respectively as shown in below figure. Only AAS or SSA types problems can be solved by using Law of sine.

Since we need the combination of two sides and one angle or two angles and one side.

In option A, the two consecutive angles are known and a side which makes the second angle with base side is known, therefore the first angle is opposite to the given side, so the law of sine can be used for AAS problems.

Therefore, option A is incorrect.

In option B a side is known and two inclined angle on that line are known. But to use Law of sine we want the line and angle which in not inclined on that line, therefore the ASA problem can not be solved by Law of sine and the option B is correct.

In option C two sides and their inclined angle is known. But to use Law of sine we want the side and angle which in not inclined on that line, therefore the SAS problem can not be solved by Law of sine and the option C is correct.

In  option D three sides are given but any angle is not given, therefore the SSS problem can not be solved by Law of sine and the option D is correct.

4 0
2 years ago
∆ABC ~ ∆DEF. If ∠A=35° and ∠E=55°, what is the measure of ∠C?
madam [21]

Answer:

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Step-by-step explanation:

ABC ~ DEF so that means E = B.  A triangle has to add up to 180° so that means 180-35-55=90

7 0
3 years ago
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