De dos en dos los numeros de 1.000 hasta 1.100

ITS URGENT PLEASE HELP Which equation represents the line that is parallel to y=3/7x+11 and passes through (-21,42)?

Pepsi [2]

Answer:

y = 3/7x + 51

Step-by-step explanation:

y = 3/7x + 11 is parallel to the line so it means that both of their gradient are same so:

y = mx + c

m= gradient point = (-21 , 42)

= 3/7

now we sub the m and the point into the formula which is y= mx+c because we should find the c first then we can find the equation of the line:

42 = 3/7 (-21) + c

42 = -9 + c

42 + 9 = c

51 = c

c = 51

now you hv to rewrite again the equation become y= 3/7x + 51

So now your final answer is : y = 3/7x +51

3 0

2 years ago

Which expression represents the number 2i4−5i3+3i2+−81‾‾‾‾√ rewritten in a+bi form?

vichka [17]

Answer:

The expression $-1+14i$ represents the number $2i^4-5i^3+3i^2+\sqrt{-81}$ rewritten in a+bi form.

Step-by-step explanation:

The value of $i$ is $i=\sqrt{-1}[tex] or [tex]i^{2}=-1[\tex].Now [tex]i^{4}$ in term of $i^{2}[\tex] can be written as, [tex]i^{4}=i^{2}\times i^{2}$

Substituting the value,

$i^{4}=\left(-1\right)\times \left(-1\right)$

Product of two negative numbers is always positive.

$\therefore i^{4}=1$

Now $i^{3}$ in term of $i^{2}[\tex] can be written as, [tex]i^{3}=i^{2}\times i$

Substituting the value,

$i^{3}=\left(-1\right)\times i$

Product of one negative and one positive numbers is always negative.

$\therefore i^{3}=-i$

Now $\sqrt{-81}$ can be written as follows,

$\sqrt{-81}=\sqrt{\left(81\right)\times\left(-1\right)}$

Applying radical multiplication rule,

$\sqrt{ab}={\sqrt{a}}\sqrt{b}$

$\sqrt{\left(81\right)\times\left(-1\right)}={\sqrt{81}}\sqrt{-1}$

Now, $\sqrt{\left(81\right)=9$ and $\sqrt{-1}}=i$

$\therefore \sqrt{\left(81\right)\times\left(-1\right)}=9i$

Now substituting the above values in given expression,

$2i^4-5i^3+3i^2+\sqrt{-81}=2\left(1\right)-5\left(-i\right)+3\left(-1\right)+9i$

Simplifying,

$2+5i-3+9i$

Collecting similar terms,

$2-3+5i+9i$

Combining similar terms,

$-1+14i$

The above expression is in the form of a+bi which is the required expression.

Hence, option number 4 is correct.

5 0

2 years ago

Callie has $24.65 to spend on groceries. After buying 6 potatoes, she had $18.95 left. If each potato costs the same amount, wha

Finger [1]

Idekcgxhdvdhchsiceycu h hey hcg dad hb SC u job bc I

4 0

2 years ago

Read 2 more answers

What is the difference between squaring and taking the square root ?

wel

Answer:

Squares are the numbers, generated after multiplying a value by itself. Whereas square root of a number is value which on getting multiplied by itself gives the original value.

Step-by-step explanation:

Hence, both are vice-versa methods. For example, the square of 2 is 4 and the square root of 4 is 2.

8 0

1 year ago

How many times does 50 go into 85

vitfil [10]

If you would like to know how many times does 50 go into 85, you can calculate this using the following steps:

85 / 50 = 17 / 10 = 1.7

The correct result would be 1.7.

6 0

2 years ago

Read 2 more answers