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2 years ago

Using point-slope form, write the equation of the line that passes through (2, –1) and has a slope of –5.

Mathematics

1 answer:

erik [133]2 years ago

6 0

Answer: (y+1)=5(x+2)

Step-by-step explanation:

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IRISSAK [1]

Answer:

y = 2 ( x − 1 ) ^ 2 + 2

Step-by-step explanation:

y = a ( x − h ) ^ 2 + k

where vertex is (h,k) = (1,2)

h=1, k=2

y = a ( x − 1 ) ^ 2 + 2

sub ( 3,10)

10 = a (3 - 1)^2 + 2

a=2

y = 2 ( x − 1 ) ^ 2 + 2

7 0

2 years ago

(2^4x+4)÷(2^x+1)<br> 60 POINTS<br> BRANLIEST IF RIGHT

zmey [24]

Answer:

$\frac{2^4^x + 4}{2^x + 1}$

The file includes the input of your equation, comment if the equation you input is a mistake.

6 0

2 years ago

Read 2 more answers

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

Find the slope of the line passing through the points (-9, 7) and (7, 7)

Lina20 [59]

Answer:

The slope is zero.

Step-by-step explanation:

8 0

3 years ago

Please explain to me how 3.2÷4=0.8 is done

DedPeter [7]

To make it easier just assume there is no decimal point then just work out the 32÷4 where we know that 4 goes into 32 8 times so you get 8 remember the decimal point and since it was one decimal place you will push the decimal over to the left of 8 and that is how you get 0.8

4 0

3 years ago

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