The line y = 4x + b passes through (2,6).<br> Find the value of b

I need help with this question i dont understand it

RUDIKE [14]

The perimeter, by definition, is the outside measure of that figure. MN and LM are the same length and LK and NK are the same length....we just need to find the lengths! Use the distance formula to find the distance between the 2 points:
$\sqrt{( x_{2} - x_{1} ) ^{2} +( y_{2}- y_{1} ) ^{2} }$
For the segment MN, use the coordinates of M as your x1, y1, and use the coordinates of N for x2, y2:
$\sqrt{(3-2) ^{2}+(4-3) ^{2} }$
which simplifies to
$\sqrt{(1 )^{2}+(1) ^{2} }$ which is $\sqrt{2}$
So that is the length of both MN and LM. So far our perimeter is $\sqrt{2} + \sqrt{2}=2 \sqrt{2}$
Now let's use the same formula to find out the length of one of the longer segments:
$\sqrt{(5-3) ^{2} +(3-2) ^{2} }$
which simplifies down to
$\sqrt{(2) ^{2} +(1) ^{2} }$
which is of course $\sqrt{5}$
Since we have 2 of those lengths, $\sqrt{5} + \sqrt{5}=2 \sqrt{5}$
So our perimeter is, in the end, $2 \sqrt{2}+2 \sqrt{5}$
That's the third choice down

7 0

2 years ago

Evaluate the difference quotient for the function

Alexeev081 [22]

Answer:

my pp is bigger than the holocaust

Step-by-step explanation:

4 0

3 years ago

1/5x-8=4. what does x. equal

Slav-nsk [51]

Answer:

12

Step-by-step explanation:

if you multiply everything by 5, then you can get rid of the fraction and the equation would now look like this:

x - 40 = 20

and now you can answer this simply

x - 40 = 20

+40 +40

x = 60

and since you multiplied 5 beforehand, now you have to divide by 5 to get the real answer

60 ÷ 5 = 12

therefore, x = 12

8 0

3 years ago

Ty and his 3 brothers share a pizza equally. Which of these shows how much of the pizza Ty's brothers have?

Yuki888 [10]

Answer:

3/4

Step-by-step explanation:

pizza is cut into fourths because there are for people eating it. the brothers have 3/4 of the pizza because there are only 3 brothers

7 0

3 years ago

The expression 1.01 ⋅ 1.00 5 t 1.01⋅1.005 t 1, point, 01, dot, 1, point, 005, start superscript, t, end superscript gives the am

Nadya [2.5K]

Answer:

Step-by-step explanation:

The expression 1.01-1.005 gives the amount of money, in thousands of dollars, in Carter's savings account t years after he opens it What does 1.01 represent in this expression? Choose 1 answer Carter opened the savings account I year ago ⓢ Carter's savings account had $1,010 in it when he opened it. The amount of money in Carter's savings account increase by 1% each year.

1.01 ( 1.005 )^t

standard exponential equation is

y = a (b)^x

where a = initial value

comparing the two equations

we get

a = 1.01

so, it means 1.01 means Carters saving account had $ 1010 in it when it opened

6 0

3 years ago

The line y = 4x + b passes through (2,6). Find the value of b