A cereal box is 8 inches by 2 inches by 12 inches. Its surface area is square inches.

The distance between points (X7, Yı) and (4, 8) is the square root of (x7 - 8)2 +

serious [3.7K]

Answer:

B. False

Step-by-step explanation:

Given

$Points: (x_7 - y_i),(4,8)$

Required

Is the distance between them $\sqrt{(x_7 - 8)^2 + (y_1 - 4)^2}$

Given that there are two points, the distance between them is calculated using

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

In this case;

$(x_1,y_1)= (x_7 - y_i)\\(x_2,y_2) =(4,8)$

Substitute these in the given formula

Distance = $\sqrt{(4- x_7)^2 + (8 - y_1)^2}$

Comparing this with the given formula, both are not the same;

Hence, the formula is false and the correct formula is of the form $\sqrt{(4- x_7)^2 + (8 - y_1)^2}$

6 0

3 years ago

Slope intercept of (1,1) and (0,7)

Sonja [21]

Answer:

$\boxed {m = -6}$

Step-by-step explanation:

Use the Slope Formula to help you determine the slope of the following two points:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

(Where $(x_{1}, y_{1})$ is the first point and $(x_{2}, y_{2})$ is the second point)

-Apply both points onto that formula:

$(x_{1}, y_{1}) = (1, 1)$

$(x_{2}, y_{2}) = (0, 7)$

$m = \frac{7 - 1}{0 - 1}$

-Solve:

$m = \frac{7 - 1}{0 - 1}$

$m = \frac{6}{-1}$

$\boxed {m = -6}$

3 0

3 years ago

Use slopes and y-intercepts to determine if the lines 5x-5y=-2 and -x+2y=4

HACTEHA [7]

The given pair of lines are not perpendicular.

The line is a curve showing the shortest distance between 2 points.

5x - 5y = -2 - - - - - (1)
Transform the equation into standard form,
5x + 2 = 5y
y = 5x /5 + 2/5
y = x + 2/5

The slope of equation 1 is $m_1 = 1$ and intercept c = 2 / 5

Similarly
x + 2y = 4 - - - - - - - -(2)
Transform it into standard form
y = -x/2 + 4 /2
y = -x / 2 + 2

Slope of the equation 2 $m_2$ = -1 / 2 and intercept c = 2
Slope of line 1 * slope of line 2 = 1 * -1/2 = -1/2

Since the lines are not perpendicular because the pair of lines does not satisfy the property of perpendicular lines i.e
$m_1*m_2 = -1$

Thus, the given pair of lines are not perpendicular.

Learn more about lines here:

brainly.com/question/2696693

#SPJ1

6 0

1 year ago

The volume of a cone is 16x cubic inches, Its height is 12 inches. What is the radius of the cone?

Dimas [21]

The radius would be 2

4 0

3 years ago

I need help fast pleasee

trapecia [35]

Answer:

y = - cos ( $\frac{3}{4}$ x + $\frac{\pi }{4}$ )

Step-by-step explanation:

y = A cos ( Bx + C) + D

Vertical shift D = 0

A = - 1

Compression / Stretching B

Period of given function is $\frac{8\pi }{3}$

Period of cos x is 2π

$\frac{8\pi }{3}$ = $\frac{2\pi }{B}$ ⇒ B = $\frac{3}{4}$

Horizontal shift is C ÷ B

Horizontal shift of given function is $\frac{\pi }{3}$

$\frac{\pi }{3}$ = C ÷ $\frac{3}{4}$ ⇒ C = $\frac{\pi }{4}$

So, the equation of given function is

y = - cos (  $\frac{3}{4}$  x +  $\frac{\pi }{4}$  ) 

4 0

2 years ago