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3 years ago

6

Which equation represents a line perpendicular to the line shown on the graph?

1 answer:

Vadim26 [7]3 years ago

4 0

Answer:

See description below.

Step-by-step explanation:

To choose the correct equation, find the slope of the line on the graph. Identify two points on the line. Then subtract to find their rate of change using the slope formula.

$m=\frac{y_2-y_1}{x_2-x_1}$

When you know the slope, find the negative reciprocal. For example, if the slope is 2/1 then the negative reciprocal is -1/2. This is the slope of a perpendicular line to a line with slope 2. Choose the equation which has this same slope.

Example:

y = 2x -1

y= -1/2 +5

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the value ax^2 + bx is 5 when x=1, and is equal to 0 when x=1.what are the values of a and b. explain how u arrived at your answ

Katena32 [7]

Answer: a = 1.25, b = 2.5, c = 1.25

Step-by-step explanation:

Use vertex form and substitute a point into it (1, 5)

5 = a(1 + 1)^2 + 0

5 = a(2)^2 + 0

5 = 4a

a = 5/4

y = 5/4 (x + 1)^2

y = 5/4 (x^2 + 2x + 1)

1.25 x^2 + 2.5x + 5/4

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3 years ago

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Dafna11 [192]

Answer:

-1/3x + y = 3

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4 years ago

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The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and

Travka [436]

Answer:

3.2 feet

Step-by-step explanation:

The equation $f(x)=-0.3x^{2}+2x$ shows the height of water [ $f(x)$ ] and horizontal distance [ $x$ ].

<em>Given the </em><em>horizontal distance is 4 feet</em><em>, they want to know the height.</em>

<em>Simply put 4 in $x$ of the equation and solve for $f(x)$ . So,</em>

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So, the height of the water was 3.2 feet above the ground.

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3 years ago

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gogolik [260]

Answer:

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Step-by-step explanation:

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3 years ago

What is the distance between (1,-5) and (-3,6)

Wewaii [24]

Answer:

$\large\boxed{\sqrt{137}\approx11.7}$

Step-by-step explanation:

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have two points (1, -5) and (-3, 6). substitute:

$d=\sqrt{(-3-1)^2+(6-(-5))^2}=\sqrt{(-4)^2+11^2}=\sqrt{16+121}=\sqrt{137}$

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3 years ago