MATHEMATICS HIGH SCHOOL

Find the distance between (3,4) and (4,-6).

Answers

Answer 1

Answer:

Answer:

The answer is

$√(101)$

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^(2) + ({y1 - y2})^(2) } \n$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(3,4) and (4,-6)

The distance between them is

$d = \sqrt{ ({3 - 4})^(2) + ({4 + 6})^(2) } \n = \sqrt{ ({ - 1})^(2) + {10}^(2) } \n = √(1 + 100 ) \: \: \: \: \: \: \: \: \: \n = √(101) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

We have the final answer as

$√(101)$

Hope this helps you

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fifteen percent of the workers at nationwide industries earn minimum wage. if 24 workers earn minimum wage, how many total workers are there at nationwide industries?

Answers

if you do 100 divided by 15 times 24 you get 160

Let the total number of workers be x

Since its given in statement, that 15% of workers earn minimum wage and that is equal to 24.
i.e 15 % of x = 24
x*15/100 = 24
x = 24*100/15
x = 160
therefore total number of workers are 160

Reflect across the x-axis left 1 units right 3 units

Answers

Well if you do reflect it it is just like a mirror and what is the cordinats is -1 -3

What are the solutions to the equation? x2 + 6x = 40

Answers

x² + 6x = 40

Subtract 40 from both sides:

x² + 6x - 40 = 40 - 40

refine: x² + 6x - 40 = 0

factor x² + 6x - 40 = 0

( x- 4 ) ( x + 10 ) = 0

solve x - 4 = 0

x = 0 + 4

x = 4

solve x + 10 = 0

x = 0 - 10

x = - 10

solution : x = 4 , x = - 10

hope this helps!

Answer:

$x_1= 4\nx_2=-10$

Step-by-step explanation:

$x^2+6x=40$

Since it is an equation squared to find the two values of x we can apply the formula of the solver

$x = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a}$

we equate the equation to zero to be able to apply the solver

$x^2+6x=40\nx^2+6x-40=0$

$a=1 \nb=6\nc=-40$

$x = \frac {-6 \pm \sqrt {(6)^2 - 4(1)(-40)}}{2(1)}\nx = \frac {-6 \pm \sqrt {36+160}}{2}\nx = \frac {-6 \pm \sqrt {196}}{2}\nx = \frac {-6 \pm \ 14}{2}\nx_1= \frac {-6 +\ 14}{2}\nx_1= (8)/(2)= 4\nx_2=\frac {-6 - 14}{2}\nx_2=(-20)/(2)= -10$

$x_1= 4\nx_2=-10$

The side length of a square ice cube is claimed to be 1.0 inches, correct to within 0.001 inch. Use linear approximation to estimate the resulting error, measured in squared inches, in the surface area of the ice cube.

Answers

Answer:

0.012

Step-by-step explanation:

Linear approximation says that,

$f(x) \approx f(x_o)+f'(x_o)(x-x_o)$

For a cube the surface area is $6x^2$ .

So the side is 1.0 inch in, the surface area is $=6*1^2 = 6$ square inches.

In Linear approximation means you ignore the term $x_o^2$ , if $x_o$ is a small number, because then $x_o^2$ will be a very smalle number and that does not contribute much to the error.

So the surface area is approximately,

$6x^2=6x_o^2+12x_o(x-x_o)$

So here, $x=1.001, x_o=0.001$

The error in the area is approximately,

$12 * 0.001=0.012$

So the error is 0.012.

Solve the equation: Show work step by step

-14=-5+3c

Answers

-14 = -5 + 3c

First, regroup your terms. / Your problem should look like: $-14 = 3c - 5$
Second, add 5 to both sides. / Your problem should look like: $-14 + 5 = 3c$
Third, simplify -14 + 5 to -9. / Your problem should look like: $-9 = 3c$
Fourth, divide both sides by 3. / Your problem should look like: $-(9)/(3) = c$
Fifth, simplify the fraction to 3. / Your problem should look like: $-3 = c$
Sixth, switch your sides. / Your problem should look like: $c = -3$

Answer: c = -3

−14=−5+3c

−14=3c−5

Flip the equation.

3c−5=−14

Add 5 to both sides.

3c−5+5=−14+5

3c=−9

Divide both sides by 3.

3c/3=−9/3

c=−3

Elisha is a photographer and charges a set fee to photograph weddings. This is an example of _____ income.a. capital gains

b. earned

c. hourly

d. passive

Answers

If Elisha is a photographer and charges a set fee to photograph weddings, this is an example of passive income

Passive income

A passive income is an income that is unstable. Most passive incomes are generated from a business or side hustle.

For Elisha, he is into photography and the money he will generate from such will be a passive income.

Hence if Elisha is a photographer and charges a set fee to photograph weddings, this is an example of passive income

Learn more on passive income here: brainly.com/question/1246309

Answer:

Step-by-step explanation:

Earned

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