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Brilliant_brown [7]

2 years ago

6

Consider the equation. Which graph shows a line that is perpendicular to the line defined by the given equation? A. In a linear

graph line diagram, A line passes through (minus 4, minus 2) and (2, minus 0.5) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. B. In a linear graph line diagram, A line passes through (2, 0.5) and (minus 4, 2) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. C. In a linear graph line diagram, A line passes through (2, 4) and (0.5, minus 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units. D. In a linear graph line diagram, A line passes through (2, minus 4) and (0.5, 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units.

1 answer:

Kaylis [27]2 years ago

7 0

option (B) is correct the graph second represents the line that is perpendicular to the line y = 4x - 2

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

$\rm m =\dfrac{y_2-y_1}{x_2-x_1}$

The question is incomplete:

The complete question is:

Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?

Please refer to the attached picture.

The given line:

y = 4x - 2

The slope of the line M = 4

The slope of the line which is perpendicular to the above line:

m = -1/4 = -0.25

The graph second has a slope of -0.25

$\rm y\ -2\ =\ \dfrac{\left(2-0.5\right)}{-4-2}\left(x+4\right)$

y - 2 = -0.25x - 1

y = -0.25x + 1

m = -0.25

Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option (B) is correct.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ1

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Find the distance of PQ<br> P(0,4) and Q(10,-6)

solong [7]

Answer:

PQ ≈ 14.14 units

Step-by-step explanation:

calculate the distance d using the distance formula

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = P (0, 4 ) and (x₂, y₂ ) = Q (10, - 6 )

PQ = $\sqrt{(10-0)^2+(-6-4)^2}$

= $\sqrt{10^2+(-10)^2}$

= $\sqrt{100+100}$

= $\sqrt{200}$

≈ 14.14 units ( to 2 dec. places )

4 0

2 years ago

Read 2 more answers

Use Pythagorean theorem to find isos

myrzilka [38]

Answer:

x = 12 or $\sqrt{144}$

Step-by-step explanation:

Find the length of x for one side of the triangle first. To do this, use the Pythagorean Theorem which states: a² + b² = c² or in this case c² - a² = b². c² is 45 and a² is 3*3 or 9. Subtract 45-9 to get 36. Find the square root of 36 to get 6. The opposite side is also going to have a missing side length of 6 so add 6+6 to get 12 as x.

Hope it helps!

7 0

3 years ago

Would someone be able to answer this before 3 PM central?

Margaret [11]

Answer:

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Step-by-step explanation:

8 0

3 years ago

Graph a parabola whose intercepts are x=-3 and x=5 and whose minimum value is y =-4

blagie [28]

Answer:

$y = 4(x^{2} + 8x + 15) = 4x^{2} + 32x + 60$

Step-by-step explanation:

A parabola has the following format:

$y = f(x) = ax^{2} + bx + c$

If a is positive, it's minium value is:

$y_{M} = -\frac{\bigtriangleup}{4a}$

In which

$\bigtriangleup = b^{2} - 4ac$

Factoring:

$ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , in which $x_{1} and x_{2}$ are the intercepts.

In this question:

$x_{1} = -5, x_{2} = -3$

So

$a(x - x_{1})*(x - x_{2}) = a*(x - (-5))*(x - (-3)) = a*(x+5)*(x+3) = a*(x^{2} + 8x + 15)$

Suppose a = 1, we have:

$x^{2} + 8x + 15$

$\bigtriangleup = 8^{2} - 4*1*15 = 4$

The minimum value will be:

$y_{M} = -\frac{4}{4} = -1$

We want this minimum value to be -4, which is 4 times the current minimum value, so we need to multiply a by 4. Then

$a = 4$

And the parabola is:

$y = 4(x^{2} + 8x + 15) = 4x^{2} + 32x + 60$

4 0

3 years ago

If you are buying at item at a store for a price of $52, and there is a 6% tax added on top, what would be the total amount due

son4ous [18]

Answer:

The total amount due at the register would be $55.12

Step-by-step explanation:

You will register the price of the product($52) added to the tax(6% of the price of the product, so 6% of $52).

Then

0.06*52 = 3.12

$52 + $3.12 = $55.12

The total amount due at the register would be $55.12

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3 years ago