All categories

3 years ago

A line passes through (-3, 6) and has a slope of -5. What is an equation of the line?

Mathematics

1 answer:

Tasya [4]3 years ago

4 0

Answer:

y=-5x-9

Step-by-step explanation:

y-y1=m(x-x1)

y-6=-5(x-(-3))

y-6=-5(x+3)

y=-5x-15+6

y=-5x-9

You might be interested in

Select ALL expressions that are equivalent to 38

Airida [17]

Answer:

3^2*3^4

3^12/3^4

(3^4)^2

The first, fourth, and fifth

Step-by-step explanation:

Follow rules of exponents

When multiply an exponent with same base just add the exponents

EX: 2^2 * 2^2= 2^4

When dividing with the same base, subtract

EX: 3^12/3^2=3^10

When raising the power of an exponent to another exponent, multiply.

EX: (3^2)^2=3^2

3 0

3 years ago

If two cars hit head on at 50 mph what is the force of the impact?

Andreas93 [3]

Answer:

100mph

Step-by-step explanation:

3 0

2 years ago

Why is 8.8 a rational number

disa [49]

Answer:

See below

Step-by-step explanation:

8 is classified as a rational number because it can be made into a fraction. 8.8 = 8 8/10 = 88/10

5 0

3 years ago

ITS EASY PLS HELP!!!!!

faust18 [17]

Answer:

3/18

Step-by-step explanation:

5 0

3 years ago

Suppose that we have the following sequence :

Jlenok [28]

$a_n=\dfrac12a_{n-1}$
$a_n=\dfrac1{2^2}a_{n-2}$
$a_n=\dfrac1{2^3}a_{n-3}$
$a_n=\cdots=\dfrac1{2^{n-1}}a_1$
$a_n=\dfrac1{2^{n-1}}$

$b_n=b_{n-1}+\dfrac1{2^{n-1}}$
$b_n=b_{n-2}+\dfrac1{2^{n-1}}+\dfrac1{2^{n-2}}$
$b_n=b_{n-3}+\dfrac1{2^{n-1}}+\dfrac1{2^{n-2}}+\dfrac1{2^{n-3}}$
$b_n=\cdots=b_1+\dfrac1{2^{n-1}}+\dfrac1{2^{n-2}}+\cdots+\dfrac12$
$b_n=a_1+\displaystyle\sum_{k=1}^{n-1}\frac1{2^{n-k}}$
$b_n=1+\displaystyle\sum_{k=1}^{n-1}\frac1{2^{n-k}}$
$b_n=\displaystyle\sum_{k=1}^n\frac1{2^{n-k}}$
$b_n=\displaystyle\frac1{2^n}\underbrace{\sum_{k=1}^n2^k}_{S_n}$

$S_n=1+2+2^2+\cdots+2^{n-1}+2^n$
$\implies2S_n=2+2^2+2^3+\cdots+2^n+2^{n+1}$
$\implies S_n-2S_n=-S_n=1-2^{n+1}$
$\implies S_n=2^{n+1}-1$

$b_n=\dfrac{2^{n+1}-1}{2^n}=2-\dfrac1{2^n}$

$\implies b_{50}=2-\dfrac1{2^{50}}\approx1.99999999999999911182158$

$\implies b_{10^6}=2-\dfrac1{2^{10^6}}\approx2.00000000000000000000000$

8 0

3 years ago