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2 years ago

10

Write the equation of a line in slope - intercept form using m=2 and (-1,5)

1 answer:

EastWind [94]2 years ago

6 0

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have the slope $m=2\to y=2x+b$ .

Put the coordinates of the point (-1, 5) to the equation of the line:

$5=2(-1)+b$

$5=-2+b$ <em>add 2 to both sides</em>

$7=b\to b=7$

Answer: $y=2x+7$

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4. Find the solution to the equation below.<br> please finish<br> this<br> problem

velikii [3]

Answer:

w = 12

Step-by-step explanation:

We are given the equation:

$\displaystyle{\dfrac{w-2}{4} = \dfrac{2w+1}{10}}$

First, clear out the denominators by multiplying both sides by LCM. In this scenario, our LCM is 40. Thus, multiply both sides by 40:

$\displaystyle{\dfrac{w-2}{4} \cdot 40= \dfrac{2w+1}{10} \cdot 40}$

Simplify the expressions/equations:

$\displaystyle{(w-2)\cdot 10= (2w+1)\cdot 4}\\\\\displaystyle{10w-20= 8w+4}$

Isolate w-variable:

$\displaystyle{10w-20= 8w+4}\\\\\displaystyle{10w-8w=4+20}\\\\\displaystyle{2w=24}\\\\\displaystyle{w=12}$

Hence, the solution is w = 12

If you have any questions regarding my answer or explanation, do not hesitate to ask away in comment!

4 0

1 year ago

8-5x =2x + 20 <br> Simplify<br> I’ll give brainliest

kobusy [5.1K]

Answer:

X= - 12/7 i hope it is helpful have a nice day if you want steps i will show you

6 0

2 years ago

Read 2 more answers

Am I dealing with harmonic stuff (trig)?

pochemuha

You just need to solve for when $y=0$ :

$\dfrac{\cos8t-9\sin8t}4=0\implies\cos8t-9\sin8t=0$

$\implies\cos8t=9\sin8t$

$\implies\dfrac19=\dfrac{\sin8t}{\cos8t}=\tan8t$

$\implies8t=\tan^{-1}\dfrac19+n\pi$

$\implies t=\dfrac18\tan^{-1}\dfrac19+\dfrac{n\pi}8$

where $n$ is any integer. We only care about when $0\le t\le1$ , which happens for $n\in\{0,1,2\}$ .

$t=\dfrac18\tan^{-1}\dfrac19\approx0.01$

$t=\dfrac18\tan^{-1}\dfrac19+\dfrac\pi8\approx0.41$

$t=\dfrac18\tan^{-1}\dfrac19+\dfrac\pi4\approx0.80$

8 0

3 years ago

Is the value of 8 in 345,802 ten times greater or smaller than the value of 8 in 758,910

german

Answer:

Yes

Step-by-step explanation:

One is in the hundreds and one is in the thousands. 100x10=1000

7 0

2 years ago

What is the solution to the equation below round your answer to two decimal decimal places log4 x=2.1

nekit [7.7K]

Answer:

B

Step-by-step explanation:

log4x = 2.1

logx/log4 = 2.1

logx = log(4) x 2.1

logx = 1.264

x = 10^(1.264)

x = 18.38 (to two d.p)

8 0

2 years ago