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3 years ago

12

Solve by elimination. Please show work -6x+5y=1 6x+4y=-10

1 answer:

blondinia [14]3 years ago

7 0

The answer and work is in the photo

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Find the value of <br> x<br> x<br> that makes the expressions equivalent.<br> 2(x+9); 30+18

Vlada [557]

Answer:

$x=15$

Step-by-step explanation:

We are given the equations $2(x+9), 30+18$ to search for a value of $x$ that yields an equivalent statement. $2(x+9)=30+18\\2(x+9)=48\\x+9=24\\x=15$ .

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3 years ago

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Find the equation of the line perpendicular to y = -2x + 6 that goes through (2, 10).

neonofarm [45]

If the line is perpendicular, then its slope is the reciprocal of the given line's slope. This new line's slope is 1/2. We plug it into slope-intercept form

y = 1/2x + b

Now plug in the given point of (2, 10) and solve for b.

10 = 1/2(2) + b
10 = 1 + b
9 = b

So your equation is y = 1/2x + 9

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3 years ago

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3 years ago

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Angle Sum Theorem. y = ?

salantis [7]

Answer:

90°

Step-by-step explanation:

Interior angles of ALL triangles sum to 180°

The whole large triangle has angles 60 60 60 ( they sum to 180)

that means x = 30

then the small triangle on the right has 60 + 30 + y = 180

meaning y = 90 °

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1 year ago

Given points A(-1, -2) and B(2, 4) where AP: BP=1:2, find the locus of point P.

koban [17]

Answer:

$x^2 + 4x + y^2 +8y = 0$

Step-by-step explanation:

Given

$A = (-1,-2)$

$B = (2,4)$

$AP:BP = 1 : 2$

Required

The locus of P

$AP:BP = 1 : 2$

Express as fraction

$\frac{AP}{BP} = \frac{1}{2}$

Cross multiply

$2AP = BP$

Calculate AP and BP using the following distance formula:

$d = \sqrt{(x - x_1)^2 + (y - y_1)^2}$

So, we have:

$2 * \sqrt{(x - -1)^2 + (y - -2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}$

$2 * \sqrt{(x +1)^2 + (y +2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}$

Take square of both sides

$4 * [(x +1)^2 + (y +2)^2] = (x - 2)^2 + (y - 4)^2$

Evaluate all squares

$4 * [x^2 + 2x + 1 + y^2 +4y + 4] = x^2 - 4x + 4 + y^2 - 8y + 16$

Collect and evaluate like terms

$4 * [x^2 + 2x + y^2 +4y + 5] = x^2 - 4x + y^2 - 8y + 20$

Open brackets

$4x^2 + 8x + 4y^2 +16y + 20 = x^2 - 4x + y^2 - 8y + 20$

Collect like terms

$4x^2 - x^2 + 8x + 4x + 4y^2 -y^2 +16y + 8y + 20 - 20 = 0$

$3x^2 + 12x + 3y^2 +24y = 0$

Divide through by 3

$x^2 + 4x + y^2 +8y = 0$

3 0

3 years ago