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2 years ago

Solve the following equation (x-4)^2=7

2 answers:

7 0

$(x-4)^2 =7\\\\\implies x-4 = \pm \sqrt 7\\\\\implies x = 4 \pm \sqrt 7\\\\\ \text{Hence,}~ x =4 + \sqrt 7~~ \text{or}~~x =4 -\sqrt 7$

melomori [17]2 years ago

5 0

$(x-4) ^ 2 = 7 => | x-4 | = \sqrt{7} \\=> x-4=\sqrt{7} / or/ x-4=-\sqrt{7}\\ => x=\sqrt{7} + 4 /or/ x = 4-\sqrt{7}$

ok done. Thank to me :>

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Jeremy's father drives him to school in rush hour traffic in 20 minutes. One day there is no traffic, so his father can drive hi

umka21 [38]

Answer:

Step-by-step explanation:

18/60-12/60= 4 miles

just my guess

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3 years ago

The volume of the rectangular prism is 648 feet. The rectangular base is 6 feet by 9 feet. What is the height of the prism?

IrinaK [193]

Answer:

$h=12ft$

Step-by-step explanation:

The formula one would use for finding the volume of a rectangular prism is as follows:

Volume = length × width × height , $V=l*w*h$

With this in mind, let's plug in the given variables in the question for this formula.

$V=648ft^3$

$l=6ft$

$w=9ft$

$h=$ ?

We don't know the height, but that's just fine. We will plug in all our values and isolate $h$ .

$V=lwh\\648ft^3=(6ft)(9ft)h$

I'm leaving in units just because I want to show that units aren't just for show. They can be used when in doubt of how to go about your math.

$648ft^3=(6ft)(9ft)h\\648ft^3=(54ft^2)h\\\frac{648ft^3}{54ft^2}=\frac{(54ft^2)h}{54ft^2}$

Notice, that the units on the left side cancel out, leaving only the unit $ft$ left next to the solution. In the same way, the units on the right side cancel out too, leaving only $h$ , height.

$\frac{648ft^3}{54ft^2}=\frac{(54ft^2)h}{54ft^2}\\12ft=h$

If involving units only confuses you, like it does for me, you can remove them like so, you just need to know what units your solution uses instead of being able to come to the proper units by using math.

$V=lwh\\648=(6)(9)h\\648=54h\\\frac{648}{54}=\frac{54h}{54}\\12ft=h$

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3 years ago

X^4 - 4x^4 - 6y^3 - 2x^4 Help !!

Afina-wow [57]

6x^-12 - 6y^3 ... I think

6 0

3 years ago

Read 2 more answers

What's the value of x ? (I marked a random answer )

kondor19780726 [428]

X^2 = 60
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3 years ago

Samantha is taking out a loan for $17,452 at 6% simple interest for one year. How much interest will she pay?

andrew11 [14]

Answer:

She will pay $1,047.12 interest for one year

Step-by-step explanation:

Simple Interest

Occurs when interest is calculated on the original principal only.

Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=P.r.t

Where:

I = Interest

P = initial principal balance or loan

r = interest rate

t = time

Samantha takes out a loan for $17,452 at r=6%=0.06 simple interest for t=1 year. Calculating the interest:

$I=\$17,452*0.06 *1$

I = $1,047.12

She will pay $1,047.12 interest for one year

6 0

3 years ago