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2 years ago

What is the distance between (8, -3) and (4, -7)?

Mathematics

1 answer:

lesantik [10]2 years ago

6 0

Answer:

d=4√2

Step-by-step explanation:

distance formula = √(x2-x1)²+(y2-y1)²

d=√(4-8)²+(-7-(-3))²

d=√4²+(-4)²

d=√16+16 = √32=√2²*2²*2

d=4√2

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Jill would like an increase in the hourly wage she receives from the Mathematics Research Center, where she works in the mail ro

attashe74 [19]

Answer:

<em>Her raise per hour is $3.</em>

Step-by-step explanation:

<u>Quadratic Equation</u>

The standard representation of a quadratic equation is:

$ax^2+bx+c=0$

where a,b, and c are constants.

It can be solved by using the quadratic formula:

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

Jill asks for an increase in the hourly wage she receives. Since she works in a Maths Center, the increase comes as a maths equation.

She must solve the equation:

$x^2-6x+9=0$

The solution to the equation is the increase in her hourly wage.

Comparing with the general form, we have a=1, b=-6, c=9. Thus, the solutions are:

$\displaystyle x=\frac{-(-6)\pm \sqrt{(-6)^2-4(1)(9)}}{2(1)}$

$\displaystyle x=\frac{6\pm \sqrt{36-36}}{2}$

$\displaystyle x=\frac{6\pm \sqrt{0}}{2}$

Since the square root is 0, there is only one solution:

$\displaystyle x=\frac{6}{2}=3$

x = 3

Thus, her raise per hour is $3.

8 0

2 years ago

A 12-ounce bottle of shampoo costs $4.20. a 16-ounce bottle costs $6.88. which shampoo costs less per ounce? how do you know

Serga [27]

The 12 oz bottle since it will cost about .35 cents per ounce

8 0

2 years ago

Use the figure above of Quadrilateral ABCD to answer the following: Use the check list to determine which properties fit. You wi

prohojiy [21]

Explanation:

First, let's draw the quadrilateral. So:

Then, the distance d and slope m between two points with coordinates (x1, y1) and (x2, y2) can be calculated as:

$\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ m=\frac{y_2-y_1}{x_2-x_1} \end{gathered}$

So, the distance and slope of AB where A is (-5,3) and B is (0, 6) are:

$\begin{gathered} d=\sqrt[]{(0-(-5))^2+(6-3)^2} \\ d=\sqrt[]{(0+5)^2+3^2} \\ d=\sqrt[]{34} \\ m=\frac{6-3}{0-(-5)}=\frac{3}{0+5_{}}=\frac{3}{5} \end{gathered}$

The distance and slope of BC where B is (0,6) and C is (5, 3) are:

$\begin{gathered} d=\sqrt[]{(5-0)^2+(3-6)^2}=\sqrt[]{34} \\ m=\frac{3-6}{5-0}=-\frac{3}{5} \end{gathered}$

The distance and slope of CD where C is (5,3) and D is (0, 0) is:

$\begin{gathered} d=\sqrt[]{(0-5)^2+(0-3)^2}=\sqrt[]{34} \\ m=\frac{0-3}{0-5}=\frac{-3}{-5}=\frac{3}{5} \end{gathered}$

The distance and slope of AD where A is (-5,3) and D is (0, 0) are:

$\begin{gathered} d=\sqrt[]{(0-(-5))^2+(0-3)^2} \\ d=\sqrt[]{(0+5)^2+(3)^2}=\sqrt[]{34} \\ m=\frac{0-3}{0-(-5)}=-\frac{3}{5} \end{gathered}$

Therefore, the correct answers are:

Option 1 : Opposite sides (AB, CD, and BC, AD) have equal slopes making them parallel to each other, making ABCD a parallelogram.

Option 4: The distance of the sides AB, BC, CD, and AD are all congruent

3 0

6 months ago

Find the discount on a 15$ Tshirt its on sale for 10% off

Elina [12.6K]

Answer:

it would cost $13.50 and you saved 1.50

Step-by-step explanation:

4 0

2 years ago

Which of the following statements could be used to describe the location of point P, shown on the number line below?

leva [86]

I would say 2.5 becasue there are two lines between the -2 and -1 so it would be half. SO my awnser is 2.5

i hope this helped you

Have a good day

if it is wrong tell me

7 0

3 years ago

Read 2 more answers