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Semenov [28]
3 years ago
10

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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A rope is swinging in such a way that the length of the arc is decreasing geometrically. If the first arc is 18 feet long and th
NemiM [27]

Answer: The length of the second arc is 12 feet.

Step-by-step explanation:

Since we know that

A rope is swinging in such a way that the length of the arc is decreasing geometrically,

Length of first arc = 18 feet

Length of third arc = 8 feet

Let the length of second arc be x

As we know that

\frac{a_2}{a_1}=\frac{a_3}{a_2}\\\\\frac{x}{18}=\frac{8}{x}\\\\x^2=18\times 8\\\\x^2=144\\\\x=\sqrt{144}\\\\x=12

Hence, the length of the second arc is 12 feet.

4 0
3 years ago
Read 2 more answers
How do I do numbers 1, 2 and 3
stiks02 [169]
What you want to do for each of those is follow the formula, y-y[1]=m(x-x[1]). When I say y[1] and x[1], I mean the x and y values given. So the first one would be y-4=-3(x-(-1)). Then you solve for y by distributing the -3 to x and +1 (+1 because two negatives make a positive), making the equation
y-4=-3x-3. Then you subtract the 4. Answer #1. y=-3x-7. 

#2. 
y-1=1(x-4)
y-1=x-4
y=x-5

#3.
y-2=2(x-(-1))
y-2=2x+2
y=2x+4

Hope this helped you!

8 0
3 years ago
White a proportian . SHow the solution 8/3= 2/n
snow_tiger [21]
Answer: 3/4 I’m pretty sure. I looked at it and got confused so not 100% sure.
8 0
3 years ago
Read 2 more answers
URGENT PLS HELP ASAP ANSWER EACH EMPTY BOX AND I WILL GIVE BRAINLIEST !!!!!
Aleks [24]

Answer:

y-1 = 2(x+2)

Step-by-step explanation:

Point slope form of a line is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y -1 = 2(x - -2)

y-1 = 2(x+2)

5 0
2 years ago
Jason and his children went into a grocery store and will buy bananas and mangos. Each banana costs $0.90 and each mango costs $
Andrej [43]

Answer:

25 ≥ 0.90b + 2m

Step-by-step explanation:

Given:

Cost of each banana = $0.90

Cost of each mango = $2

Total amount = $25

Find:

Inequality

Computation:

Assume;

Number of banana = b

Number of mango = m

Total amount ≥ Cost of total banana + Cost of total mango

25 ≥ 0.90b + 2m

8 0
3 years ago
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