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3 years ago

A composition of reflections across two intersecting lines is a _____

Mathematics

1 answer:

kogti [31]3 years ago

4 0

A composition of reflections across two intersecting lines is a rotation.

I hope helped ^^

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..vertex: (4, -1)<br> f(3) = -6

s344n2d4d5 [400]

Answer:

$\huge\boxed{f(x)=-5(x-4)^2-1=-5x^2+40x-81}$

Step-by-step explanation:

The vertex form of an equation of a parabola:

$f(x)=a(x-h)^2+k$

$(h;\ k)$ - vertex

We have

vertex $(4;\ -1)\to h=4;\ k=-1$

$f(3)=-6$

Therefore we have:

$f(x)=a(x-4)^2+(-1)=a(x-4)^2-1$

Substitute $x=3$ and $f(3)=-6$

$a(3-4)^2-1=-6\qquad|\text{add 1 to both sides}\\\\a(-1)^2=-6+1\\\\a(1)=-5\\\\a=-5$

Finally:

$f(x)=-5(x-4)^2-1=-5(x^2-2(x)(4)+4^2)-1\\\\=-5(x^2-8x+16)-1=-5x^2+(-5)(-8x)+(-5)(16)-1\\\\=-5x^2+40x-80-1=-5x^2+40x-81$

4 0

3 years ago

The height of a diver during a dive can be modeled by h=-16t^2, where h is height in feet relative to the diving platform and t

Makovka662 [10]

H=-16t^2+49
find where h=0
0=49-16t^2
0=7^2-(4t)^2
difference of 2 perfect square
0=(7-4t)(7+4t)
set to zero
7-4t=0
7=4t
7/4=t

7+4t=0
4t=-7
t=-7/4
faslse, this is before the person jumps

answer is 7/4 seconds

3 0

2 years ago

Given the line of the best fit for a set of data points with equation y=-5x-2.5 what is the residual for the point (3,6)

HACTEHA [7]

Answer:

The residual of the point $(3,6)$ in the equation $y=-5(x)-2.5$ is $= 23.5$

Step-by-step explanation:

We have been given point $(3,6)$ where $x=3$ .

Now the equation is $y=-5(x)-2.5$ .

Plugging the value of $x=3$ in the equation of $y=-5(x)-2.5$ ,

we have to find the predicted value of y and $y=-5(3)-2.5 =-15-2.5=-17.5$ .

So y predicted $=-17.5$ .

To find the residual point we have to subtract the actual value from the predicted value.

As actual value of $y=6$ along with the points $(3,6)$ .

Residual point = Actual value - Predicted value.

$=6 -(-17.5) =23.5$

So the residual for the point $(3,6)$ is $23.5$ .

7 0

3 years ago

Ms. Pickford works at Game Stop in her spare time. She earns an 8% commission for all sales. She sold $1500 in the month of Nove

nordsb [41]

Answer:

$120

Step-by-step explanation:

Calculation for what was her commission

Since she sold the amount of $1,500 in the month of November in which we were told that she earns the commission of 8% for all sales which means that her commission will be calculated as :

Using this formula

Commission=November sales* Sales commission

Let plug in the formula

Commission=$1,500*8%

Commission= $120

Therefore what her commission will be is $120

4 0

2 years ago

An object is moving at a speed of 2 feet every 8.5 minutes. Express this speed in meters per hour

jekas [21]

Answer:

4.30m/hr

Step-by-step explanation:

2 feet/8.5 mins is 0.235294118 feet per minute, which is 4.3030553875397 metres per hour, which to 2 s.f. is 4.30

8 0

2 years ago