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2 years ago

What is an equation of the line that passes through the points (−7,3) and (−4,3) ?

Mathematics

1 answer:

Angelina_Jolie [31]2 years ago

5 0

$\huge\text{Answer:}$

$\huge\mathrm{The~slope~is~0.}\checkmark$

$\huge\text{Solution:}$

$\huge\mathcal{HOW~TO~FIND~THE~SLOPE:}$

$\displaystyle\frac{y2-y1}{x2-x1}$

However, there's a shortcut!

If you notice, the y-coordinates of the given 2 points are the same.

Now, if a line passes through 2 points with the same y-coordinates, then its slope is 0.

Hope you find it helpful.

Feel free to ask if you have any doubts.

$\bold{-MistySparkles^**^*}$

You might be interested in

Given the following diagram, find the measures of ZA and ZB.

Nutka1998 [239]

Answer:

x = 14.6

ZA = 30.8

ZB = 33.2

Step-by-step explanation:

First, solve x: (knowing all angles of a triangle are 180º)

116º + (2x + 4)º + (3x-13)º = 180º

116 + 2x + 4 + 3x - 13 = 180

2x + 3x = 180 + 13 - 4 - 116

5x = 73

x = 73/5 = 14.6

ZA = 3*14.6 - 13 = 30.8

ZB = 2*14.6 + 4 =33.2

Test:

116º + 33.2º + 30.8º = 180º

3 0

3 years ago

Read 2 more answers

A hose fills a hot tub at a rate of 3.13 gallons per minute. How many hours will it take to fill a 255-gallon hot tub?

GalinKa [24]

Answer:

about 1.4 hours

Step-by-step explanation:

3.13 gallons per minute.

60 minutes in an hour, so multiply both numbers by 60.

187.8 gallons per hour.

Divide the number of gallons we need to fill the tub the number of gallons put in per hour.

255÷187.8=1.375...

Round it, you get 1.4 hours.

It takes about 1.4 hours to fill the hot tub.

6 0

3 years ago

Can someone help me pleaseeee

Sidana [21]

Answer: B) False

The input x = 5 leads to the two outputs f(x) = 2 and f(x) = 1 (as shown by the green arrows in the attached image). In order to have a function, all of the inputs must lead to exactly one output.

3 0

3 years ago

Read 2 more answers

Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

$y = - \frac{ {x}^{2} }{10} + \frac{5}{2}$

This is a parabola (0,2.5) and turns upside down.

4 0

3 years ago

Look at the graph of the linear function. On a coordinate plane, a line goes through 4 points. Point A is (negative 2, negative

kondor19780726 [428]

Using it's concept, the rate of change between point C and point D is of 2.

<h3>What is the average rate of change of a function?</h3>

The average rate of change of a function is given by the <u>change in the output divided by the change in the input</u>. Hence, over an interval [a,b], the rate is given as follows:

$r = \frac{f(b) - f(a)}{b - a}$

Considering the points of the given linear function, we have that:

Point C: f(1) = 2.

Point D: f(2) = 4.

Hence the rate of change between point C and point D is given by:

r = (4 - 2)/(2 - 1) = 2.

More can be learned about the average rate of change of a function at brainly.com/question/24313700

#SPJ1

4 0

1 year ago