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3 years ago

Which point on the y-axis lies on the line that passes through

Mathematics

1 answer:

Lelechka [254]3 years ago

4 0

Answer:

0(0,2)

Step-by-step explanation:

0(0,2)

0(0,-6)

0(2,0)

0(-6,0)

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Quadrant:

NISA [10]

<h2>✒️Area Between Curves</h2>

$\small\begin{array}{ |c|c} \hline \bold{Area\ Between\ Curves} \\ \\ \textsf{Solving for the intersection of }\rm y = x^2 + 2\textsf{ and }\\ \rm y = 4, \\ \\ \qquad \begin{aligned} \rm y_1 &=\rm y_2 \\ \rm x^2 + 2 &=\rm 4 \\ \rm x^2 &= \rm 2 \\ \rm x &=\rm \pm \sqrt{2} \end{aligned} \\ \\ \textsf{We only need the first quadrant area bounded} \\ \textsf{by the given curves so the integral for the area} \\ \textsf{would then be} \\ \\ \boldsymbol{\displaystyle \rm A = \int_{\ a}^{\ b} {\left( \begin{array}{c}\text{upper} \\ \text{function}\end{array} \right) - \left( \begin{array}{c} \text{lower} \\ \text{function} \end{array} \right)\ dx}} \\ \\ \displaystyle \rm A = \int_{0}^{\sqrt{2}} \Big[4 - (x^2 + 2)\Big]\ dx \\ \\ \displaystyle \rm A = \int_{0}^{\sqrt{2}} (2 - x^2)\ dx \\ \\ \rm A = \left[2x - \dfrac{x^3}{3}\right]_{0}^{\sqrt{2}} \\ \\ \rm A = 2\sqrt{2} - \dfrac{\big(\sqrt{2}\big)^3}{3} \\ \\ \rm A = 2\sqrt{2} - \dfrac{2\sqrt{2}}{3} \\ \\\red{\boxed{\begin{array}{c} \rm A = \dfrac{4\sqrt{2}}{3}\textsf{ sq. units} \\ \textsf{or} \\ \rm A \approx 1.8856\textsf{ sq. units} \end{array}}} \\\\\hline\end{array}$

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5 0

3 years ago

What is the volume of the pyramid 8ft 4ft 6ft<br><br><br> 20 POINTS

horrorfan [7]

Answer:

V= 64 ft^3

Step-by-step explanation:

The volume of a pyramide is given by the formula

V = 1/3 l*w*h

Given the l = 8 w = 4 and h = 6

V = 1/3 ( 8*4*6)

V = 1/3 ( 192)

V= 64 ft^3

5 0

3 years ago

PLEASE HURRY AND ANSWER CORRECT ANSWER GETS 99 POINTS AND MARKED AS BRAINLIEST

Alexandra [31]

Answer:

The rate of change is 2

What is the Rate of Change?

A rate of change defines how one quantity changes in relation to another quantity. The rate of change can be either positive or negative. Since the slope of a line is the ratio of vertical and horizontal change between two points on the plane or a line, then the slope equals the ratio of the rise and the run.

Where, rise is the vertical change between two points and run is the horizontal change between two points.

Standard Formula

The standard form for the rate of change of slope, m is given by

Rate of change = Rise/ Run

= Δy / Δx

Therefore, the rate of change of slope =(y2 – y1) / (x2 – x1)

Where

Δ represents the rate of change

(x1, x2) is the X coordinates

(y1, y2) is the Y coordinates

What is meant by slope?

The slope represents the gradient of the line. It is denoted by the symbol “m”. It defines the rate of change.

Can a slope be negative?

A slope can be either positive or negative. If a line has a positive slope (i.e., m > 0), then y always increases when x increases and y always decreases when x decreases. Also, if a line has a negative slope (i.e., m<0), then y always increases when x decreases and y always decreases when x increases.

What is the formula for the slope?

The formula to find the slope is

m = (y2 – y1) / (x2 – x1)

Where

(x1, x2) is the X coordinates

(y1, y2) is the Y coordinates

4 0

4 years ago

Find a such that the line x = a divides the region bounded by the graphs of the equations into two regions of equal area. (Round

VladimirAG [237]

Answer:

a≈2.343

Step-by-step explanation:

View Image

Integrating an equation from boundary x₀ to x₁ gives you the area underneath that boundary.

So to find the boundary that split the equation into 2 equal areas, the boundary must lie somewhere between the 2 place to want to split up. In other word, <em>a</em> is the end boundaries of the first integral and the starting boundary of the second integral.

Since the two area must equal to each other, set the two integral equal to each other and solve for a.

6 0

3 years ago

Is the answer a b or c

Andrei [34K]

Answer:

∠Z & ∠K

Step-by-step explanation:

5 0

3 years ago