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4 years ago

What is the slope of the line y - 5 = -4(x - 8)?

Mathematics

2 answers:

Virty [35]4 years ago

5 0

Answer is:
The slope is negative 4
The answer to the equation is:
y=-4x+37

Explanation:
Y=Mx+B
The m in the equation is always gonna be the slope!

Your welcome

galben [10]4 years ago

4 0

Answer:

-4

Step-by-step explanation:

This looks like point-slope form, which I find personally hideous. Let's change it to slope-intercept form to ease my conscience. (remember that slope-intercept form is y=mx+b, where m=slope and b=y-intercept!)

y - 5 = -4(x-8)

y - 5 = -4x + 32

y = -4x + 37

It's in slope-intercept form now! And -4 looks to be our m.

<u>So the slope is -4.</u>

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Which of the following points is shown in the graph below?

djverab [1.8K]

Answer:

Step-by-step explanation:

Comment

Only the x is minus. You know this because if you rotate the x axis 90 degrees clockwise, the plus axis will be on your right and the minus part of the axis on your left.
The other 2 (y and z) are positive.
All answers give - 4 in their choices. You are not helped much by -4
y is on your left right now. That is the plus direction so y = 5
z is 6 units up, so it is positive.

Answer (-4,5,6)

4 0

2 years ago

Need help on this as soon as possible

Andrew [12]

Hypotenuse of the right triangle: h=sqrt(4^2+6^2)
h=sqrt(16+36)
h=sqrt(52)
h=sqrt(4*13)
h=sqrt(4) sqrt(13)
h=2 sqrt(13)

Total Area: T.A.=2*(4*6/2)+[4+6+2 sqrt(13)] (8)
T.A.=2*(12)+[10+2 sqrt(13)](8)
T.A.=24+(10)(8)+[2 sqrt(13)](8)
T.A.=24+80+16 sqrt(13)
T.A.=104+16 sqrt(13)

Answer:
( 104+16 sqrt(13) )

5 0

3 years ago

Find all solutions of the equation: 2cos^2x-cosx=1

Art [367]

If you're using the app, try seeing this answer through your browser: brainly.com/question/3166243

——————————

Solve the trigonometric equation:

$\mathsf{2\,cos^2\,x-cos\,x=1}\\\\ \mathsf{2\,cos^2\,x-cos\,x-1=0}$

Make a substitution:

$\mathsf{cos\,x=t\qquad (-1\le t\le 1)}$

and the equation becomes

$\mathsf{2t^2-t-1=0}$

Rewrite conveniently – t as + t – 2t, and then factor the left-hand side by grouping:

$\mathsf{2t^2+t-2t-1=0}\\\\ \mathsf{t\cdot (2t+1)-1\cdot (2t+1)=0}$

Factor out 2t + 1:

$\mathsf{(2t+1)\cdot (t-1)=0}\\\\ \begin{array}{rcl} \mathsf{2t+1=0}&~\textsf{ or }~&\mathsf{t-1=0}\\\\ \mathsf{2t=1}&~\textsf{ or }~&\mathsf{t=1}\\\\ \mathsf{t=\dfrac{\,1\,}{2}}&~\textsf{ or }~&\mathsf{t=1} \end{array}$

Substitute back for t = cos x:

$\begin{array}{rcl}\mathsf{cos\,x=\dfrac{\,1\,}{2}}&~\textsf{ or }~&\mathsf{cos\,x=1}\\\\ \mathsf{cos\,x=cos\,60^\circ}&~\textsf{ or }~&\mathsf{cos\,x=cos\,0} \end{array}$

Therefore,

$\begin{array}{rcl} \mathsf{x=\pm\,60^\circ+k\cdot 360^\circ}&~\textsf{ or }~&\mathsf{cos\,x=0+k\cdot 360^\circ} \end{array}$

where k is an integer.

Solution set:

$\mathsf{S=\left\{x\in\mathbb{R}:~~x=-\,60^\circ+k\cdot 360^\circ~~or~~x=60^\circ+k\cdot 360^\circ~~or~~x=k\cdot 360^\circ,~~k\in\mathbb{Z}\right\}}$

I hope this helps. =)

3 0

3 years ago

kim took a trip to china. upon leaving she decided to convert all of her yuan back into dollars. How many dollars did she receiv

Kamila [148]

She received $2
--
8x2= 16
So if 8 yuan equals $1 then 16 divided by 8 would be $2, hope this helped.

6 0

3 years ago

Read 2 more answers

Estimate what is 130% of 20. Show work please! I need the right answer!

aksik [14]

26 would 130% of 26%.

20 would be 100% of itself leading us to X being 130%.
That brings us to two equations of 20=100% and x=130%
20/x=100%/130%

20/x=100/130
(20/x)*x=(100/130)*x
20=0.769230769231*x
26/0.769230769231=x
26=x therefor x=26

3 0

4 years ago

Read 2 more answers