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3 years ago

Use what you know about the difference of squares and the product of a perfect square binomial to expand the following.

Mathematics

1 answer:

wel3 years ago

3 0

Answer:

$\boxed{x^2 - 6x + 9 - y^2}.$

Step-by-step explanation:

We start by applying the difference of squares to the expression:

$((x-3)-y)((x-3)+y) = (x-3)^2 - y^2.$

Now we apply the square of a binomial to the first term:

$(x-3)^2 - y^2 = x^2 - 2 \times 3 \times x + 3^2 - y^2 = x^2 - 6x + 9 - y^2.$

So the answer is:

$\boxed{x^2 - 6x + 9 - y^2}.$

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Mrs. Wigen conducted a survey in her math class. She asked each of her students to tell her how many pets they have at home. The

Lera25 [3.4K]

Answer:

4 : 25 to round off we have to see that

4 : 25 to round off we have to see that If in ones place it is more than 5 or not

4 : 25 to round off we have to see that If in ones place it is more than 5 or not if yes we will add to 1 no to tenths place

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7 0

2 years ago

WRITE AN EQUATION THAT REPRESENTS THE LINE. USE EXACT NUMBERS.

wel

Answer:

$y=\frac{6}{5}x-5$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

$m=\frac{y_2-y_1}{x_2-x_1}$

Plug in the two given points (0,-5) and (5,1)

$m=\frac{1-(-5)}{5-0}\\m=\frac{1+5}{5-0}\\m=\frac{6}{5}$

Therefore, the slope of the line is $\frac{6}{5}$ . Plug this into $y=mx+b$ :

$y=\frac{6}{5}x+b$

2) Determine the y-intercept (b)

$y=\frac{6}{5}x+b$

On the graph, we can see that when x is 0, y is equal to -5 (we're also given the point (0,-5). Therefore, the y-intercept of the line is -5. Plug this back into the equation:

$y=\frac{6}{5}x-5$

I hope this helps!

6 0

2 years ago

Read 2 more answers

A remote control car races straight down the street at 26 miles per hour. Two

Pachacha [2.7K]

Answer:

It will take 4 hours for the second car to catch up with the first car.

Step-by-step explanation:

The first step to solving this problem is determining the difference in speed between the first and second car - you can see that the second car (at 52mph) is twice as fast as the first (26mph) therefore it will take half the time to cover the same distance.

As Car 1 has a 2 hour head start, it will be 52 miles ahead after 2 hours.

In the next 2 hours, Car 1 will travel 52 miles - so 104 in total after 4 hours, and car 2 will travel 104 miles, meaning that it will have caught up after 4 hours.

To calculate distance per minute, divide the miles per hour by 60 (as there's 60 minutes in an hour), so:

Car 1 = 26/60 = 0.43 miles per minute

Car 2 = 52/60 = 0.867 miles per minute

To check your calculation, Car 2 should be exactly twice as far

B) The street, as far as we know, is at least 104 miles

C) See calculation at the top - the first car is 52miles from the start line when the second car starts

D) 2 cars are competing in this race

8 0

2 years ago

The sum of -5, -9, and 10 is _____. 4 -4 -14 14

krok68 [10]

Answer: