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Radda [10]
3 years ago
14

Which is an equation of the line with a slope of (1,4) and a y-intercept of-2​

Mathematics
1 answer:
anzhelika [568]3 years ago
7 0

Answer:

y=6x-2

Step-by-step explanation:

Fisrt things first, you want to find the slop. One of the points is (1,4). You want the other point. Using the y-int, you can figure out the other point is (0,-2). You get this because the y-intercept means the x value is 0.

Next you use the two points and plug it into the formula (change in y/ change in x)

(-2-4)/(0-1)=-6/-1 = 6

Now you know the slope is 6. Since you know the y-int, you can plug that into the slope-intercept formula (y=mx+b)

That would give you: y=6x-2

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Step-by-step explanation:

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What is the value of <img src="https://tex.z-dn.net/?f=%5Cfrac%7B81%5E4%7D%7B3%5E5%7D" id="TexFormula1" title="\frac{81^4}{3^5}"
IRISSAK [1]

Answer:3^1^1\\

Step-by-step explanation:

\frac{81^4}{3^5}

\frac{3^1^6}{3^5}

The base is same power can be add or subtract

3^1^6^-^5

3^1^1

5 0
3 years ago
Which of the expressions below can be factored using the difference of<br> squares method?
zlopas [31]

Answer:

<em>The second choice is correct. It can be factored as:</em>

9x^2-16y^2=(3x-4y)(3x+4y)

Step-by-step explanation:

<u>The Difference of Squares Method for Factoring</u>

The expression:

a^2-b^2=(a-b)(a+b)

Is a widely used method to factor binomials that are expressed as the subtraction of two perfect squares.

The condition for a binomial to be factored by using this method is that both terms must have an exact square root and they must be subtracted.

The last two choices are not valid because they are not a subtraction but an addition.

The first choice is not valid because none of the terms is a perfect square.

The second choice is correct. It can be factored as:

9x^2-16y^2=(3x-4y)(3x+4y)

4 0
3 years ago
Find AB<br> Round to the nearest tenth.
lianna [129]

Answer:4.1

Step-by-step explanation:

c=AB

C=26°

B=122°

b=8

Using sine rule

c/sinC = b/sinB

c/sin26=8/sin122

Sin26=0.4384

Sin122=0.8480

c/0.4384=8/0.8480

Cross multiply

c x 0.8480=8 x 0.4384

c x 0.8480=3.5072

Divide both sides by 0.8480

(c x 0.8480)/0.8480=3.5072/0.8480

c=4.1

7 0
3 years ago
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