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3 years ago

Factor −1/4 out of −1/2x−5/4y. The factored expression is .

Mathematics

1 answer:

Olegator [25]3 years ago

7 0

Answer:

(-1/4)(2x +5y)

Step-by-step explanation:

Multiply and divide by -1/4:

$-\frac{1}{2}x-\frac{5}{4}y=\dfrac{(-\frac{1}{4})(-\frac{1}{2}x-\frac{5}{4}y)}{-\frac{1}{4}}=\left(-\dfrac{1}{4}\right)(-4)\left(-\dfrac{1}{2}x-\dfrac{5}{4}y\right)\\\\=\left(-\dfrac{1}{4}\right)\left(2x+5y)$

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Rick and Betty are going to Virginia. It is an 8 hour trip. Rick gets. 50 mile head start and drives at a rate of 55 mph. Betty

maw [93]

The equations y=55x+50 and y=65x represents Rick's and Betty's trip.

Step-by-step explanation:

Given,

Head start of Rick = 50 miles

Speed of Rick = 55 mph

Let,

x be the number of hours

y be the total miles

Distance covered by Rick in x hours = Speed * Time + Head start

y = 55x + 50

Speed of Betty = 65 mph

Total miles = Speed*Time

y=65x

The equations y=55x+50 and y=65x represents Rick's and Betty's trip.

Keywords: variable, addition

Learn more about variables at:

#LearnwithBrainly

7 0

3 years ago

10 x 4 thousands in unit form

Sindrei [870]

Answer:

Step-by-step explanation:

Simplify.

10 x 4000

40000

Unit form.

forty-thousand = four thousands

I'm sorry if I misunderstood.

Please add Brainliest if you'd like, not that it matters.

3 0

3 years ago

Divisor of number <br>6?

mash [69]

Answer:

1 2 3 6

Step-by-step explanation:

1x6=6

2x3=6

3x2=6

6x1=6

6 0

3 years ago

Find the value of each variable in the parallelogram. Round your answers to the nearest tenth, if necessary.

lilavasa [31]

Answer:

z = 2

y = 5

Step-by-step explanation:

3 0

2 years ago

Write y = x2 + 24x + 144 as a square of binomial.

irina1246 [14]

Answer:

$y=(x+12)^2\\$

Step-by-step explanation:

To write a quadratic equation into binomial form we can compare the equation into the completing square form of a quadratic equation like this ,

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

now since,

$y=x^2+24x+144$

we can equate both the equations from left hand side to right hand side like this,

$x^2+24x+144=a(x-h)^2+k\\$

now we solve,

$x^2+24x+144=a(x-h)^2+k\\x^2+24x+144=a((x)^2-2(x)(h)+(h)^2)+k\\x^2+24x+144=a(x^2-2hx+h^2)+k\\x^2+24x+144=ax^2-2ahx+ah^2+k\\$

now we compare the coefficients of x^2:

$1 = a\\$

now we compare the coefficients of x :

$24=-2ah\\24=-2(1)h\\24=-2h\\\frac{24}{-2}=h\\-12=h\\$

now we compare the constants , (constants are the letters which are not associated with any variable in this case the variable is x)

$144 = ah^2+k\\144=(1)(-12)^2+k\\144=(1)(144)+k\\144=144+k\\144-144=k\\0=k\\$

so now the value we got all the values for the completing square form we plug those in , a = 1 , h = -12 , k = 0 ,

$y=a(x-h)^2+k\\y=1(x-(-12))^2+0\\y=(x+12)^2\\$

this is the square of a binomial, if you want to verify if we expands this formula by the formula of (a + b)^2 we would get the same result. Thus this is the correct answer.

5 0

2 years ago