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3 years ago

6

Help with this question please!

1 answer:

Andre45 [30]3 years ago

3 0

Answer:

$\large\boxed{x=2,\ -2}$

Step-by-step explanation:

$\text{If the trapezoid EFGH is isosceles, then the angles}\ HEF\ \text{and}\ GFE\\\\\text{are congruent. Therefore}\ m\angle HEF=m\angle GFE.\\\\\text{We have the equation}\\\\4x^2+16=5x^2+12\qquad\text{subtract 16 from both sides}\\\\4x^2=5x^2-4\qquad\text{subtract}\ 5x^2\ \text{from both sides}\\\\-x^2=-4\qquad\text{change the signs}\\\\x^2=4\to x=\pm\sqrt4\\\\x=-2\ or\ x=2$

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Simplify (2^5/3^2)^4

BabaBlast [244]

Answer:

first one on top.

Step-by-step explanation:

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3 years ago

PLEASE HELP WILL MARK BRAINLIEST Write the equation of the line parallel to the given line and passing through the given point.

Naily [24]

The parallel lines have the same slope.

The slope-intercept form: y = mx + b

m - a slope.

We have 6x + y = 4 |subtract 6x from both sides

y = -6x + 4 → m = -6.

The slope-point form:

$y-y_1=m(x-x_1)$

We have m = -6 and (-2, 3).

Substitute:

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<h3>Answer: 6x + y = -9.</h3>

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3 years ago

What is the equation of the line perpendicular to Y-3x+1 that passes through the point (12,-6)?

erma4kov [3.2K]

Answer:

$3y + x = -6$

Step-by-step explanation:

Given

y = 3x + 1

Required

Equation of line that passes through (12,-6) and is perpendicular to y = 3x + 1

First, the slope of the line has to be calculated;

Th slope of a line is the coefficient of x in its linear equation;

This implies that the slope of y = 3x + 1 is 3

Having calculated the slope of the first line;

The relationship between both lines are perpendicularity; this implies that $m_1 * m_2 = -1$

Where m_1 = 3 and m_2 is the slope of the secodnd line

$m_1 * m_2 = -1$ becomes

$3 * m_2 = -1$

Divide both sides by 3

$\frac{3 *m_2}{m_2} = \frac{-1}{3}$

$m_2 = \frac{-1}{3}$

The equation of the line can be calculated using the folloing formula

$m = \frac{y - y_1}{x - x_1}$

Where $(x_1, y_1) = (12,-6)$ and $m_2 = \frac{-1}{3}$

The equation becomes

$\frac{-1}{3} = \frac{y -- 6}{x - 12}$

$\frac{-1}{3} = \frac{y + 6}{x - 12}$

Cross multiply

$-(x - 12)= 3(y + 6)$

$-x + 12=3y + 18$

Collect like terms

$12 - 18 = 3y +x$

$-6 = 3y + x$

$3y + x = -6$

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3 years ago

Amanda made $276 for 12 hours of work, At the same rate, how many hours would she have to work to make $115

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Answer:

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Step-by-step explanation:

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115/23= 5

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2 years ago

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