All categories

3 years ago

What is the image of (-8,10) when reflected in the y-axis

Mathematics

1 answer:

Naddika [18.5K]3 years ago

8 0

Answer:

(8,10)

Step-by-step explanation:

If we reflect a point over the y-axis, the x becomes opposite while the y stays the same.

So the rule here is (a,b)->(-a,b) if we are reflecting over y-axis.

So if you reflect (-8,10) over the y-axis you get (8,10).

You might be interested in

From experience, it is known that on average 10% of welds performed by a particular welder are defective. if this welder is requ

bulgar [2K]

Binomial distribution can be used because the situation satisfies all the following conditions:1. Number of trials is known and remains constant (n)2. Each trial is Bernoulli (i.e. exactly two possible outcomes) (success/failure)3. Probability is known and remains constant throughout the trials (p)4. All trials are random and independent of the othersThe number of successes, x, is then given by $P(x)=C(n,x)p^x(1-p)^{n-x}$ where $C(n,x)=\frac{n!}{x!(n-x)!}$
Here we're given
p=0.10 [ success = defective ]
n=3

(a) x=0
$P(x)=C(n,x)p^x(1-p)^{n-x}$
$=C(3,0)0.1^0(1-0.1)^{3-0}$
$=1(1)(0.729)$
$=0.729$

(b) x=2
$P(x)=C(n,x)p^x(1-p)^{n-x}$
$=C(3,2)0.1^2(1-0.1)^{3-2}$
$=3(0.01)(0.9)$
$=0.027$

(c) x ≥ 2
$P(x)=\sum_{x=2}^3C(n,x)p^x(1-p)^{n-x}$
$=P(2)+P(3)$
$=C(n,2)p^2(1-p)^{n-2}+C(n,3)p^3(1-p)^{n-3}$
$=C(3,2)0.1^2(1-0.1)^{3-2}+C(3,3)0.1^3(1-0.1)^{3-3}$
$=3(0.01)(0.9)+1(0.001)1$
$=0.027+0.001$
$=0.028$

8 0

3 years ago

Inverse of f(x)=3x-4

aniked [119]

Answer:

$\large\boxed{f^{-1}(x)=\dfrac{x+4}{3}=\dfrac{1}{3}x+\dfrac{4}{3}}$

Step-by-step explanation:

$f(x)=3x-4\to y=3x-4\\\\\text{exchange x to y and vice versa}\\\\x=3y-4\\\\\text{solve for y}\\\\3y-4=x\qquad\text{add 4 to both sides}\\\\3y=x+4\qquad\text{divide both sides by 3}\\\\y=\dfrac{x+4}{3}$

8 0

3 years ago

Pleaseeee help meeeeee

FinnZ [79.3K]

Answer:

a. area=452.16 sq m

circumference=75.16m

b. area

c. circumference

Step-by-step explanation:

3 0

3 years ago

In football, a kicker can score one point for the extra-point on a touchdown or three points for a field goal.

White raven [17]

I am not sure but i will try to help

In football, a kicker can score one point for the extra point on a touchdown or three points for a field goal. logan is a kicker for his high school football team. the record number of points scored by a kicker in a single game is 24

3 0

3 years ago

The sum of three consecutive natural numbers is 465, find the numbers

QveST [7]

Answer:

151, 152, 153

Step-by-step explanation: Add all three and it equals 465, and it follows the rules of consecutive numbers.

3 0

3 years ago