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mojhsa [17]
2 years ago
14

Put the following equation of a line into slope-intercept form, simplifying all

Mathematics
1 answer:
Nataly [62]2 years ago
8 0

Hi there! My Name is Alex! The Answer to your question is listed Below Hope this helps!

Answer:

y=-\frac{1}{6} x+3\\

How to Solve For Slope Intercept Form...

The equation for slope-intercept form is: y=mx+b In this form, m is the slope of the line and the b is the y-intercept.

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Which of the following is a perfect square trinomial?
yanalaym [24]
Your answer is D. 16x² - 56xy + 49y².

A perfect square trinomial is the result of a squared binomial, like (a + b)². Using this example, the perfect square trinomial would be a² + 2ab + b², as that is what you get when you expand the brackets.

Therefore, to determine which of these is a perfect square trinomial, we have to see if it can be factorised into the form (a + b)².

I did this by first square rooting the 16x² and 49y² to get 4x and 7y as our two terms in the brackets. We automatically know the answer isn't A or B as you cannot have a negative square number.

Now that we know the brackets are (4x + 7y)², we can expand to find out what the middle term is, so:

(4x + 7y)(4x + 7y)
= 16x² + (7y × 4x) + (7y × 4x) + 49y²
= 16x² + 28xy + 28xy + 49y²
= 16x² + 56xy + 49y².

So we know that the middle number is 56xy. Now we assumed that it was (4x + 7y)², but the same 16x² and 49y² can also be formed by (4x - 7y)², and expanding this bracket turns the +56xy into -56xy, forming option D, 16x² - 56xy + 49y².

I hope this helps!
6 0
3 years ago
Read 2 more answers
Write 1.50 as a mixed number
GaryK [48]
The answer is 150 over 100 hope this helps
4 0
3 years ago
• If the new image is smaller than the old image would
mars1129 [50]

Answer:

Less than one

Step-by-step explanation:

5 0
3 years ago
1. Jane saved up 20 coins, all nickels and
kompoz [17]

Answer:

10 nickels and 10 quarters

Step-by-step explanation:

Given

Number of coins: 20

Vaiue of coins = $3.00

Required

Number of Nickels and Quarters;

<em>Let N =Nickels and Q =Quarters</em>

The total coins is represented as:

N + Q = 20

1 nickel is equivalent to $0.05 and 1 quarter is equivalent to $0.25; So

0.05N + 0.25Q = 3

Make N the subject of formula in the first equation

N = 20 - Q

Substitute this in the second equation

0.05(20 - Q) + 0.25Q = 3

1 - 0.05Q + 0.25Q = 3

Collect like terms

-0.05Q + 0.25Q = 3 - 1

0.2Q = 2

Multiply both sides by 5

5 * 0.2Q = 2 * 5

Q = 10

Recall that N = 20 - Q

N = 20 - 10

N = 10

6 0
3 years ago
9) If two ropes measure 3 2/3 yards and 8/9 yard, how much longer is the first
jenyasd209 [6]
Think of two ropes next to each other. Draw a picture if it helps. To find how much longer, start with the longer one and subtract the shorter length to get the difference, or “how much longer.”
To subtract fractions they have to be changed to the same denominator. First change 3 2/3 to a complex fraction; multiply the coefficient 3 times the denominator 3, then add the numerator. 3X3=9. 9+2=11 . 11 is now numerator, use same denominator. So you get 11/3. Then change denominator to 9. To do this you have to multiply by what? You would multiply by 3. Do the same to the numerator: 11 X 3=33. The fraction becomes 33/9. Now you can subtract. Now that both have the same denominator, you just subtract the numerators. 33-8=25. So, 33/9-8/9= 25/9
3 0
3 years ago
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