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3 years ago

What os the slope of a line that is perpendicular to the line shown

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

7 0

Perpendicular lines have slopes that are negative reciprocals.

so first you must find the slope of the line given
the slope formula is

m=(y₂-y₁)/(x₂-x₁)

now you just plug in the coordinate points that you are given

m=(-2-2)/(0-(-3)
m=-4/3

so the slope of the line given is -4/3, the negative reciprocal of this would be 3/4

The slope of the perpendicular line would be 3/4

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. A bridge over a river is built in the shape of a parabolic arch. The bridge has a span of 100 feet. The height of the arch is

katen-ka-za [31]

Answer:

The height of the arch at its center is 250/9 or about 27.78 feet.

Step-by-step explanation:

We can write an equation to model the parabolic arch.

Let the left-most point of the arch be the origin (0, 0).

Since the bridge has a span of 100 feet, the right-most point must be (0, 100).

We can use the factored form of a quadratic:

$y=a(x-p)(x-q)$

Where p and q are the x-intercepts.

Our x-intercepts are x = 0 and x = 100. Hence:

$y=ax(x-100)$

At a point 40 feet from the center, the height of the arch is 10 feet.

The center is x = 50. So, a point 40 feet from the center can be either x = 10 or x = 90.

So, for instance, when x = 10, y = 10. Substitute and solve for a:

$10=10a(10-100)$

So:

$\displaystyle a=-\frac{1}{90}$

The same value will result if we let x = 90 and y = 10.

Hence, our equation is:

$\displaystyle y=-\frac{1}{90}x(x-100)$

The height of the arch at its center will be when x = 50. Hence:

$y(50)=\displaystyle -\frac{1}{90}(50)((50)-100)=\frac{250}{9}\approx 27.78\text{ feet}$

4 0

3 years ago

Given that |-6| > 5, which statement is not true?

Paraphin [41]

B, -6 is greater than 5.

7 0

4 years ago

Read 2 more answers

If j = k, then j + 9 = k + 9 represents which algebraic property

sleet_krkn [62]

Answer:

c) The given expression represents Addition Property of Equality.

Step-by-step explanation:

Here, the given expression is j = k

Now by ADDITION PROPERTY OF EQUALITY:

The property that states that if you add the same number to both sides of an equation, the sides remain equal.

So, if A = B ⇒ A + x = B + x

Now, here given that j = k

If we add the same number 9 on both the sides, the equation remains undisturbed.

⇒ j + 9 = k + 9

Hence, the above expression represents Addition Property of Equality.

8 0

4 years ago

One x-intercept for a parabola is at the point (-2,0).

BARSIC [14]

You can find the x intercept by setting y to 0 and factor the equation.

0=2x^3+3x-2
0=(2x-1)(x+2)

We can make this equation =0 if x is -2 and 1/2.

So the x intercepts are (-2,0) and (0.5,0)

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3 years ago

Help please 50 PTS! I need this asap

mars1129 [50]

Answer:

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