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icang [17]
3 years ago
9

Write the equation of a line. parallel to 2x-3y=6 and passing through (-2,5)

Mathematics
1 answer:
Vlad [161]3 years ago
6 0
3y = 2x - 6
y = 2/3x - 2

y = 2/3x + c , ( - 2, 5 )
5 = 2/3 ( -2 ) + c
3c = - 6
c = - 2
y = 2/3x - 2

i am a mathematics teacher. if anything to ask please pm me
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Gina is a certain age (g). Gina's older sister is twice Gina's age. Gina's brother is half Gina's age. The sum of their ages is
aliina [53]

Answer:

Gina is 12 years old

Step-by-step explanation:

First,  we will have to write these statements mathematically and then solve.

Let Gina's age be x, let Gina's brother's age be y and let Gina's sister's age be z.

The second statement"Gina's older sister is twice Gina's age" can be mathematically written as: z =2 x ---------------------------(1)

The next statement "Gina's brother is half Gina's age" can be mathematically written as y = \frac{x}{2} ---------------------------------------(2)

Then the next statement "the sum of their ages is 42" can be mathematically written as: x + y + z = 42 ----------------------------(3)

We can now proceed to solve;

Substitute equation (1) and equation(2) into equation (3)

x + y + z = 42

x +  \frac{x}{2} + 2x = 42

Multiply through by 2

2x + x + 4x = 84

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Divide both-side of the equation by 7

\frac{7x}{7} = \frac{84}{7}

x = 12

Therefore, Gina is 12 years old

7 0
3 years ago
Jane has a checkbook balance of $68.00. She then writes two checks one for $5.00 and one for $62.50. She also deposits $75.00 th
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What is the angle of BTC, Angle TBC,Angle TCB
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By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.

<h3>How to determine the angles of a triangle inscribed in a circle</h3>

According to the figure, the triangle BTC is inscribed in the circle by two points (B, C). In this question we must make use of concepts of diameter and triangles to determine all missing angles.

Since AT and BT represent the radii of the circle, then the triangle ABT is an <em>isosceles</em> triangle. By geometry we know that the sum of <em>internal</em> angles of a triangle equals 180°. Hence, the measure of the angles A and B is 64°.

The angles ATB and BTC are <em>supplmentary</em> and therefore the measure of the latter is 128°. The triangle BTC is also an <em>isosceles</em> triangle and the measure of angles TBC and TCB is 26°.

By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.

To learn more on triangles, we kindly invite to check this verified question: brainly.com/question/2773823

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