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Rzqust [24]
3 years ago
9

A function of x is two less than twice a number. What is f(3)

Mathematics
1 answer:
Softa [21]3 years ago
6 0
It’s 4!
F(x)=2x-2
f(3)=2(3)-2
f(3)=6-2
F(3)=4
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Points E(-1, -2) and F(4, -2) are the vertices of a square. Give the coordinates of three possible pairs of points for the other
777dan777 [17]

The vertices of a square are its endpoints

The coordinates of the other pairs are: (-1, 3), (4, 3)  and (-1, -7), (4, -7)

The given parameters are:

\mathbf{E = (-1,-2)}

\mathbf{F = (4,-2)}

Calculate the distance EF

\mathbf{EF = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}

So, we have:

\mathbf{EF = \sqrt{(-1 - 4)^2 + (-2 - -2)^2}}

\mathbf{EF = \sqrt{25}}

\mathbf{EF = 5}

Add 5 to the y-coordinates of E and F

\mathbf{C = (-1,-2+5)}

\mathbf{C = (-1,3)}

\mathbf{D = (4,-2+5)}

\mathbf{D = (4,3)}

Subtract 5 to the y-coordinates of E and F

\mathbf{C = (-1,-2-5)}

\mathbf{C = (-1,-7)}

\mathbf{D = (4,-2-5)}

\mathbf{D = (4,-7)}

Hence, the coordinates of the other pairs are: (-1, 3), (4, 3)  and (-1, -7), (4, -7)

There is no third pair

Read more about vertices at:

brainly.com/question/2791243

5 0
2 years ago
Find the equation of line (use exact numbers)​
maw [93]

Answer:

y=3x+3

Step-by-step explanation:

Use the slope-intercept form:

y=mx+b

m is the slope and b is the y-intercept. The y-intercept is the place where x is equal to 0, and the slope is the change in the y-axis over the change in the x-axis, otherwise known as rise over run ( \frac{rise}{run} ).

If you study the graph, you can see that the line crosses the y-axis at (0,3), so 3 is the y-intercept. Insert into the formula:

y=mx+3

Now find the slope. Use the slope formula:

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}

You need two points first. You can use the y-intercept (0,3) and another even point, like (1,6). Insert the values:

(0_{x1},3_{y1})\\(1_{x2},6_{y2})\\\\\frac{6-3}{1-0}=\frac{3}{1}=3

The slope is 3. Insert this value:

y=3x+3

:Done

7 0
3 years ago
what is the equation of the line that passes through (-9,12) and is perpendicular to the line whose equation is y=1/3x+6
BabaBlast [244]
Y=kx+b
line is perpendicular y=1/3x+6⇒ k=-\frac{1}{ \frac{1}{3} }=-3

 so line y=-3x+a
 this line that passes through (-9,12)⇔x=-9, y=12, so 12=-3(-9)+a
12=27+a
a=12-27
a=-15
y=-3x-15

P.s.picture<span> to test solutions <span>in the application</span></span>


8 0
3 years ago
Read 2 more answers
Given g(x)=Squareroot x-4 and h(x)=2x-8, what is g(h(10))
yan [13]

Answer:

g(h(10)) = 2\sqrt 2

Step-by-step explanation:

Given

g(x) = \sqrt {x - 4

h(x) = 2x - 8

Required

g(h(10))

First, calculate g(h(x))

We have:

g(x) = \sqrt {x - 4

This gives:

g(h(x)) = \sqrt {h(x) - 4

Substitute h(x) = 2x - 8

g(h(x)) = \sqrt {2x - 8 - 4

g(h(x)) = \sqrt {2x - 12

Substitute x = 10

g(h(10)) = \sqrt {2*10 - 12

g(h(10)) = \sqrt {20 - 12

g(h(10)) = \sqrt {8\\

Split

g(h(10)) = \sqrt {4} * \sqrt 2

This gives

g(h(10)) = 2\sqrt 2

8 0
2 years ago
Read 2 more answers
1. Charlie bought a new computer for $450 with his credit card. He plans to pay the minimum payment
atroni [7]

Given:

Charlie bought a new computer for $450 with his credit card.

He plans to pay the minimum payment  of $25 per month.

To find:

The rate of change.

Solution:

Let y be the remaining amount of loan after x months.

Initial amount of loan = $450

Payment of one month = $25

Payment of x months = $25x

Now,

Remining amount = Initial amount of loan - Payment of x months

y=450-25x     ...(i)

The slope intercept form is

y=mx+b     ...(ii)

where, m is slope and b is y-intercept.

From (i) and (ii), we get

m=-25

Therefore, the rate of change is -25 dollars.

8 0
3 years ago
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