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sveta [45]
3 years ago
15

Use the Distance Formula to find the distance between (−3, 7) and (8, −6) , rounded to the nearest hundredth.

Mathematics
1 answer:
igomit [66]3 years ago
8 0

Answer:

d= 17.03

Step-by-step explanation:

d=\sqrt{ (x_{2}-x_{1})+(y_{2}-y_{1})^{2}}\\\\d=\sqrt{(8--3)+(-6-7)^{2}}\\\\d=\sqrt{(11)+(-13)^{2}} \\\\d=\sqrt{121+169}\\\\d= \sqrt{290} \\\\d=17.03

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Enter the correct answer in the box.
guapka [62]

<u><em>Answer:</em></u>

y = -x² + 60x + 256 in²

<u><em>Explanation:</em></u>

<u>Before we begin, remember the following:</u>

yᵃ × yᵇ = yᵃ⁺ᵇ

<u>Now, for the given problem:</u>

We know that the area of the rectangle is the product of its dimensions (length and width)

<u>This means that:</u>

Area of rectangle = length × width

<u>Now, we are given that:</u>

length of game board = x+4 in

width of game board = -x+64 in

<u>Substitute with the givens in the rule it as follows: </u>

Area of rectangle = length × width

Area of board game = (x+4)(-x+64)

<u>Use the distributive property, compute the product and gather like terms as follows:</u>

Area of board game = (x+4)(-x+64)

Area of board game = x(-x) + x(64) +4(-x) +4(64)

Area of board game = -x² + 64x - 4x + 256

Area of board game = -x² + 60x + 256 in²

Hope this helps :)

5 0
3 years ago
If the equation below is solved by graphing, which statement is true? log (6 x + 10) = log 1/2 x
kicyunya [14]

The solution to the given expression is x = -20/11

<h3>
What are logarithmic functions?</h3>

Logarithmic function are inverse of exponential functions. Given the equation below;

log (6 x + 10) = log 1/2 x

In order to determine the solution to the given logarithmic equation, we will first have to cancel the logarithm on both sides to have

6x + 10 = 1/2x

Collect the like terms

6x - 1/2x = 0 - 10

Find the LCD

12x-x/2 = -10
11x/2 = -10

Cross multiply

11x = -2 * 10

11x = -20

Divide both sides by 11

11x/11 = -20/11

x = -20/11

Hence the solution to the given expression is x = -20/11

Learn more on log functions and graph here: brainly.com/question/2086094

#SPJ1

6 0
1 year ago
The height of a boy is 1.46 meters. If there are approximately 3.28 feet in one meter, what is the height of the boy in inches?
grigory [225]
The boy is 4.79 ft tall.
Use the conversion formula of,
d(ft) = d(m) / 0.3048

8 0
3 years ago
A teacher randomly assigns her 30 students 4-digit I.D. numbers using the digits 0 to 9. No digits are repeated within an ID num
Olin [163]
The number of ways 4 digit numbers can be forms using the digits 0 to 9 with no number repeated is given by

^{10}P_4= \frac{10!}{(10-4)!} = \frac{10!}{6!} =10\times9\times8\times7=5,040

The probability that one of the numbers is 9876 is given by \frac{1}{5,040}
7 0
3 years ago
Read 2 more answers
Solve S=2πrh+πr2 for h
kirill115 [55]
S= \pi rh+ \pi r^2\ \ \ \ | subtract\ \pi r^2\\\\&#10;s-\pi r^2= \pi rh\ \ \ \ | divide\ by\ \pi r \\\\&#10;\frac{s-\pi r^2}{ \pi r}=h
3 0
3 years ago
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