All categories

2 years ago

Write equations for the horizontal and vertical lines passing through the point (4, -5).

Mathematics

1 answer:

raketka [301]2 years ago

8 0

Answer:

Horizontal line: y=-5

Vertical line: x = 4

Step-by-step explanation:

As we have to determine the equations for the horizontal and vertical lines passing through the point (4, -5).

To determine the equation for the horizontal line passing through the point (4, -5), we must observe that the horizontal line will always have the same y-value regardless of the x-value.

Therefore, the equation of the horizontal line passing through the point (4, -5) will be: y=-5

To determine the equation for the vertical line passing through the point (4, -5), we must observe that the vertical line will always have the same x-value regardless of the y-value.

Therefore, the equation of the vertical line passing through the point (4, -5) will be: x=4

Hence:

Horizontal line: y=-5

Vertical line: x = 4

You might be interested in

CAN SOME1 PLEASEE THINK OF AN EQUATION AND SOLVE IT FOR ME?

KatRina [158]

A example can be Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets. The answer would be Any more than 12 weeks and his account balance would be less than $200. Any number of weeks less than 12 and his account would stay above $200.

8 0

2 years ago

Lin runs 8 laps around a track in 26 minutes.

lyudmila [28]

Answer:

Step-by-step explanation:

26/8=3.25

6 0

2 years ago

- x - x + 11 - 2x = 83 please show step by step!!

m_a_m_a [10]

Answer:

$x=-18$

Step-by-step explanation:

Given

$-x-x+11-2x=83$

Step 1: Combine Like Terms on LHS

$-x-x+11-2x=83\\-2x+11-2x=83\\-4x+11=83$

Step 2: Subtract 11 on both sides

$-4x+11=83\\-4x+11-11=83-11\\-4x=72$

Step 3: Divide both sides by -4 to isolate the x-variable

$-4x=72\\\\\frac{-4x}{-4}=\frac{72}{-4}\\ \\ x=-18$

Final Answer

$x=-18$

7 0

1 year ago

Read 2 more answers

Csc (2sin^-1(-12/13)) that is 2 times inverse sin of -12/13

german

Answer: $-\frac{169}{120}$

I'm assuming you mean this:

$cosec(2sin^{-1}(\frac{-12}{13}))$

Recall what the cosecant function represents. It is the reciprocal of a sine function, and is often written in this form:

$\frac{1}{sinx}$

So, using the sine relationship:

$cosec(2sin^{-1}(\frac{-12}{13})) = \frac{1}{sin(2sin^{-1}(\frac{-12}{13}))}$

Let $u = sin^{-1}(\frac{-12}{13})$
$cosec(2sin^{-1}(\frac{-12}{13})) = \frac{1}{sin(2u)}$
$= \frac{1}{2sinu \cdot cosu}$
$= \frac{1}{2sin(sin^{-1}(\frac{-12}{13})) \cdot cos(sin^{-1}(\frac{-12}{13}))}$
$= \frac{1}{\frac{-24}{13} \cdot \sqrt{1 - (\frac{-12}{13})^{2}}}$
$= \frac{1}{\frac{-24}{13}} \cdot \frac{1}{\sqrt{1 - \frac{144}{169}}}$
$= -\frac{13}{24} \cdot \frac{1}{\sqrt{\frac{25}{169}}}$
$= -\frac{13}{24} \cdot \frac{1}{\frac{5}{13}}$
$= -\frac{13}{24} \cdot \frac{13}{5}$
$= -\frac{169}{120}$

3 0

2 years ago

FASTTTTT FIND THE AREA OF THE SHADED REGION

Murrr4er [49]

Answer:

A =28 pi cm^2

Step-by-step explanation:

First find the area of the larger circle

A = pi r^2

A = pi (8)^2

A = 64 pi

Find the area of the smaller circle

A = pi r^2

A = pi 6^2

A = 36 pi

The shaded area is the larger circle minus the smaller circle

A shaded = 64 pi - 36 pi

A =28 pi cm^2

7 0

2 years ago

Read 2 more answers