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4 years ago

What's...factorise: 25x²-y²?

1 answer:

6 0

Factorising an equation is putting it into bracket form.
This has square numbers and so needs double brackets

(5x - y) (5x+y)
If you then check this by multiplying the brackets out again you will get:
5x^2 - 5xy + 5xy - y^2

The positive and negative 5xy's cancel each other out and you are left with its original form. Your answer is
(<span>5x - y) (5x+y)</span>

You might be interested in

Slope of -4/3x with point (7,20) find equation

Ivahew [28]

Answer:

y= -4/3x+10 2/3

Step-by-step explanation:

To do this, just put the equation in point slope form and then rearrange it to y=mx+b, or slope intercept form. Slope point form is arranged like this, y-y1=m(x-x1). Now, just insert in the variables (x1=x coordinate of point, y1= y coordinate of point, m=slope). So your equation is now y-20=-4/3(x-7), which simplifies to y-20=-4/3x-9 1/3. Now rearrange it so that y in by itself, and all like terms are combined, making it look like this: y=-4/3x+10 2/3. Now its in slope intercept form and you've got your answer.

I hope my explanation wasn't confusing and that my answer helped.

7 0

3 years ago

Chaz is a 79.2 pound dog that was just adopted. Based on his foster home his daily energy intake is 1,840 kcal. Chaz’s new owner

zimovet [89]

Answer:

option (c)5 and $\frac{\textup{1}}{\textup{4}}$ cups

Step-by-step explanation:

Given:

Weight of Chaz = 79.2 pounds

Daily energy intake requirement = 1,840 kcal

Energy present in different brand food = 3,523 kcal/kg

Therefore,

the amount of food required = $\frac{\textup{Daily energy intake requirement}}{\textup{Energy present in different brand food}}$

the amount of food required = $\frac{\textup{1,840}}{\textup{3,523}}$

the amount of food required = 0.52228 kg

also,

1 kg = 1000 grams

therefore,

the amount of food required = 0.52228 × 1000 = 522.28 grams

now,

A cup of food weighs 100 grams

hence,

the number of cups required = $\frac{\textup{the amount of food required }}{\textup{Amount of food per cup}}$

the number of cups required = $\frac{\textup{522.28}}{\textup{100}}$

the number of cups required = 5.2228 ≈ 5 and $\frac{\textup{1}}{\textup{4}}$ cups

Hence, the correct answer is option (c)

4 0

3 years ago

Find the supplementary

weqwewe [10]

Answer:

70 degrees

Step-by-step explanation:

When two angles are supplementary, their measures must add up to 180 degrees. Therefore:

110+x=180

x=180-110

x=70

Hope this helps!

8 0

3 years ago

Read 2 more answers

Based on the graph, what are the approximate solutions to the equation -3+8=(0.25)x?

ivanzaharov [21]

We know that
the solution of the equations system is the intersection both graphs

first point of intersection is in the interval [-2,-1]
second point of intersection is in the interval [2,3]

<span>the only option that meets these two conditions is the option D
</span>-1.9 and 2.6

8 0

3 years ago

Tammy accidentally wrote a check for more money than she had in her checking account. When she got her statement, she saw that h

Leviafan [203]

Answer:

If the money deposited is higher than the amount owed then the new balance is her current deposition-het owed money

3 0

3 years ago