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3 years ago

What is the vertex of the following parabola y=(x-4)(x+18)

Mathematics

1 answer:

FromTheMoon [43]3 years ago

6 0

The vertex of <span>y=(x-4)(x+18) = (-7,-121)</span>

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PLEASE HELP!!

jonny [76]

Answer:

A. f(n) = (n + 1)^2 – 1

Step-by-step explanation:

Figure 1

3 = 4 - 1 = 2² - 1 = (1 + 1)² - 1

Figure 2

8 = 9 - 1 = 3² - 1 = (2 + 1)² - 1

Figure 3

15 = 16 - 1 = 4² - 1 = (3 + 1)² - 1

<u>The function is:</u>

f(n) = (n + 1)² - 1

7 0

3 years ago

I will give brainliest answer

adell [148]

Answer: A=351.68 cm²

Step-by-step explanation:

To find the area of the shaded region, we would subtract the area of the circle by the area of the inner circle.

Area of Circle

$A=\pi r^2$

$A=\pi (11)^2$

$A=121\pi$

Area of inner (white) circle

$A=\pi r^2$

$A=\pi (3)^2$

$A=9\pi$

Now that we have the area to the circle and inner circle, we would subtract to find the area of the shaded region.

$A=121\pi -9\pi$

$A=112\pi$

$A=351.68 cm^2$

3 0

3 years ago

Write how many hundreds, tens, and ones 118

kherson [118]

Hundreds tens and ones 1 and 1 and 8

5 0

3 years ago

Read 2 more answers

What is contour integral

MrMuchimi

Contour integration is a method of evaluating certain integrals along paths in the complex plane.

5 0

3 years ago

Write the slope-intercept form of the equation of the line that is perpendicular to and passes through Point X. Show all work fo

Semmy [17]

Answer:

$y =\dfrac{12}{5}x + 22$

Step-by-step explanation:

Slope-intercept form of line:

First find the slope of the line AB. ie, m

Slope of the perpendicular line = -1/m

(2 , 3) ⇒ x₁ = 2 & y₁ = 3

(-10, 8) ⇒ x₂ = -10 & y₂ = 8

$\boxed{Slope=\dfrac{y_2-y_1}{x_2-x_1}}$

$= \dfrac{8-3}{-10-2}\\\\=\dfrac{5}{-12}\\\\=\dfrac{-5}{12}$

$\sf slope \ of \ the \ perpendicular \ line \ m_1 = \dfrac{-1}{m}= -1 \ \div \dfrac{-5}{12}$

$\sf = -1 * \dfrac{12}{-5}=\dfrac{12}{5}$

Equation of the required line: y = mx + b

$y =\dfrac{12}{5}x+b$

The line passes through (-5 , 10). Substitute in the above equaiton,

$10 =\dfrac{12}{5}*(-5) + b\\\\ 10 = (-12) + b\\\\$

10 + 12 = b

b = 22

Equation of the line:

$y =\dfrac{12}{5}x + 22$

3 0

2 years ago