(9* 1010) - (4 * 1010) =
How to answer

Answers

Answer 1

Answer: For this you will utilize PEMDAS. So work what’s in the parenthesis first.

(9090) - (4040)

Then subtract both of them.

5050

Answer: 5050

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What is the solution of the system of equations? y = –3x + 8 y = –5x – 2

Answers

$y=-3x+8 \n y=-5x-2 \n \n -3x+8=-5x-2 \n 2x=-10 \n x= (-10)/(2) \n x=-5 \n \n y=-3(-5)+8 \n y=15+8 \n y=23\n \n \boxed{(-5,23)}$

$y=-3x+8 \n y=-5x-2 \n \n -3x+8=-5x-2 \n -3x+5x=-2-8 \n 2x=-10 \n x=- (10)/(2) \n x=-5 \n y=-3(-5)+8=15+8=23 \n \n \boxed{-5,23}$

Subtract and simplify: (3x^2 + 7) – (x^2 – 6x – 4)Question 3 options:

2x^2 + 6x + 3

4x^2 – 6x + 3

2x^2 + 6x + 11

4x^2 + 3

Answers

Distribute the Negative Sign:=3x2+7+−1(x2−6x−4)=3x2+7+−1x2+−1(−6x)+(−1)(−4)=3x2+7+−x2+6x+4Combine Like Terms:=3x2+7+−x2+6x+4=(3x2+−x2)+(6x)+(7+4)
Answer is =2x2+6x+11

What is the value of root 12+root 12+root12....
...............to infinite

Answers

x=root(12+root(12+root(...)))
x^2=12+root(12+root(12+root(...)))
x^2=12+x
x^2-x-12=0
(x+3)(x-4)=0
X=4

How many seconds are in one day?

Answers

Answer:

86,400

Step-by-step explanation:

thereare60secondsinaminute,thereare1440minutesinaday.1440×60=86,400

// have a great day //

Answer: 86,400 seconds

Suppose you need to know an equation of the tangent plane to a surface S at the point P(4, 1, 3). You don't have an equation for S but you know that the curves r₁(t) = 4 + 3t, 1 − t², 3 − 5t + t²r₂(u) = 3 + u², 2u³ − 1, 2u + 1 both lie on S. Find an equation of the tangent plane at P.

Answers

Answer:

30(x-4)-16(y-1)+18(z-3)

30x-16y+18z=158

Step-by-step explanation:

In order to find the tangent plan equation at point P,you know that r₁(t) and r₂(u) lie on surface S, Find the vectors B₁(t)= $(d)/(dt) \n$ r₁(t) and B₂(u)= $(d)/(du)$ r₂(u)

B₁(t)= $(d)/(dt)$ (4+3t, 1- $t^(2)$ ,3-5t+ $t^(2)$

B₁(t)=(3, -2t, -5+2t)

B₂(u)= $(d)/(du)$ (3+ $u^(2)$ , 2 $u^(3)$ -1, 2u+1)

B₂(u)=(2u, 6 $u^(2)$ , 2)

Put t=0 in r₁(t), we will get:

r₁(t)=(4, 1, 3), it means it is on point P

Put u=1 in r₂(u), we will get:

r₂(u)=(4, 1, 3), it means it is on point P

Put t=0 in B₁(t), we will get:

B₁(t)=(3,0,-5)

Put u=1 in B₂(u), we will get:

B₂(u)=(2,6,2)

So Plane Contains two vectors B₁(t) and B₂(u), For Normal Vectors to the plane Cross Product is:

B₁(t)xB₂(u)= (3,0,-5)x(2,6,2) [Cross Product]

B₁(t)xB₂(u)=(30,-16,18)

Equation will become:

30(x-4)-16(y-1)+18(z-3)

30x-16y+18z=158

Lydia bought a shirt at 20% off its retail price of $40. She paid 5% tax on the price after the discount. How much did Lydia pay for the shirt?Lydia bought a shirt at 20% off its retail price of $40. She paid 5% tax on the price after the discount. How much did Lydia pay for the shirt?