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2 years ago

Identify the equation that describes the line in slope-intercept form. slope = –2, point (−4, 3) is on the line

Mathematics

2 answers:

HACTEHA [7]2 years ago

7 0

First write it in point-slope form:-

y - 3 = -2(x - -4)
y - 3 = -2x - 8

y = -2x - 5 <======= equation in slope-intercept form

Law Incorporation [45]2 years ago

3 0

This is the answer on Photomath

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A sofa is on sale for $219, which is 27% less than the regular price.<br> What is the regular price?

Tems11 [23]

Answer:

$300 was the regular price of the sofa.

Step-by-step explanation:

If $219 is 27% less than the regular price, then it represents 73% of the regular price.

Regular price = r.

r/1 x 73/100 = $219. Reverse this to find that $219/1 divided by 73/100 = r.

To divide fractions, reverse the second fraction and MULTIPLY:

$219/1 x 100/73 = 21900/73 = 300.

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3 years ago

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Answer:

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2 years ago

Find the first three terms in the expansion , in ascending power of x , of (2+x)^6 and obtain the coefficient of x^2 in the expa

Nataly_w [17]

Answer:

The first 3 terms in the expansion of $(2 + x)^{6}$ , in ascending power of x are,

$64 , 192 \times x^{1} {\textrm{ and }}240 \times x^{2}$

coefficient of $x^{2}$ in the expansion of $(2+x - x^{2})^{6}$ = (240 - 192) = 48

Step-by-step explanation:

$(2+x)^{6}$

= $\sum_{k=0}^{6}(6_{C_{k}} \times x^{k} \times 2^{6 - k})$

= $6_{C_{0}} \times x^{0} \times 2^{6} + 6_{C_{1}} \times x^{1} \times 2^{5} + 6_{C_{2}} \times x^{2} \times 2^{4}$ + terms involving higher powers of x

= $64 + 192 \times x^{1} + 240 \times x^{2}$ + terms involving higher powers of x

so, the first 3 terms in the expansion of $(2 + x)^{6}$ , in ascending power of x are,

$64 , 192 \times x^{1} {\textrm{ and }}240 \times x^{2}$

Again,

$(2+x - x^{2})^{6}$

= $\sum_{k=0}^{6}(6_{C_{k}} \times (2 + x)^{k} \times (-x^{2})^{6 - k})$

Now, by inspection,

the term $x^{2}$ comes from k =5 and k = 6

for k = 5, the coefficient of $x^{2}$ is , $(-32) \times 6$ = -192

for k = 6 , the coefficient of $x^{2}$ is, $6_{C_{2}} \times 2^{4}$ = 240

so, coefficient of $x^{2}$ in the final expression = (240 - 192) = 48

3 0

2 years ago

A surveyor starts at the southeast corner of a lot and

elena-s [515]

Find the difference vertically( North and South) and the difference horizontally ( East and West)

Then use the Pythagorean Theorem.

600 North - 200 South = 400 m

400 West - 100 East = 300 m

Now using the Pythagorean Theorem;

400^2 + 300^2 = total displacement^2

Total displacement^2 = 160,000 + 90,000

Total displacement^2 = 250,000

Total displacement = √250,000

Total displacement = 500 m

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3 years ago

What is the slope of the line?

Ahat [919]

Answer:

Y= -4/-4x -1

Step-by-step explanation:

I think this is correct, I haven't done this in awhile though. I hope this helps

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2 years ago

Read 2 more answers