Answer:
[tex]d(P,Q) = \sqrt{34}[/tex]
The midpoint of the segment is M(27.5, -13.5).
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance between P(25,-15) and Q(30,-12)
[tex]d(P,Q) = \sqrt{(30-25)^2+(-12-(-15))^2} = \sqrt{34}[/tex]
So
[tex]d(P,Q) = \sqrt{34}[/tex]
Coordinates of the midpoint M of the segment PQ.
Mean of the coordinates of P and Q. So
[tex]x_M = \frac{25+30}{2} = \frac{55}{2} = 27.5[/tex]
[tex]y_M = \frac{-15-12}{2} = -\frac{27}{2} = -13.5[/tex]
The midpoint of the segment is M(27.5, -13.5).
please check screenshot
Answer:
Domain: {-2, -1, 0, 1, 2, 3}
Range: {-5, -3, -1, 1, 3, 5}
Step-by-step explanation:
The domain is the set containing all the x-coordinates, and the range is the set containing all the y-coordinates.
Domain: {-2, -1, 0, 1, 2, 3}
Range: {-5, -3, -1, 1, 3, 5}
HELP PLEASE NO LINKS!!!!!!!!!!!!!
9514 1404 393
Answer:
17.98
Step-by-step explanation:
The sequence is geometric with first term a1 = 12 and common ratio r = 1/3. Put these numbers in the formula and do the arithmetic.
[tex]S_n=a_1\cdot\dfrac{1-r^n}{1-r}\\\\S_6=12\cdot\dfrac{1-\dfrac{1}{3^6}}{1-\dfrac{1}{3}}=12\cdot\dfrac{3}{2}\cdot\dfrac{728}{729}=\dfrac{1456}{81}\approx\boxed{17.98}[/tex]
2√3+4√18 in simplest radical form
Answer:
[tex]2\sqrt{3} + 12\sqrt{2}[/tex]
Step-by-step explanation:
Simplify each term.
if m1=35° and m2=75°, what is m3?
Answer:
m3 should be 70°
all internal angles of a triangle add up to 180
180-35-75 = 70
Answer:
All angles of a triangle add up to 180°.
there m1+m2+m3=180°
35+75+m3=180
110°+m3=180°
m3=180°-110°
m3=70°
Answer is A.
Plz solve this question
Answer:
first one
Step-by-step explanation:
and is this a test?
PLZ IN NEED OF HELP!!
1. What is 65% of 80?
2. 34 is what percent of 40?
Answer:
1. 52
2. 13.6
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
1. What is 65% of 80
Let's set up an equation.
When we see %, we can put that number over 100.
65% = 65/100 = 0.65
"of" means to multiply.
So, 65% of 80 is
0.65 • 80 = x
Multiply.
x = 52
52
2. 34 is what percent of 40?
"is" symbolizes the equals sign (=)
"of" means to multiply.
"what percent" is our unknown.
34 is what percent of 40
34 = x/100 • 40
Divide both sides by 40.
0.85 = x/100
Multiply both sides by 100.
85 = x
85%
Hope this helps!
*quickest correct answer gets brainlyest*
Write in standard form (the number) 6.16 x 10^4
61600
6160
6160.000
6160000
Answer:
[tex]61600[/tex]
Step-by-step explanation:
[tex]10^4\\\\10*10*10*10\\\\100*100\\\\10000\\\\\\10000*6.16\\\\61600[/tex]
A class has 12 boys and 16 girls. The teacher needs to pick two volunteers. What is the probability that she chooses a girl given that she chose a boy first? All answers should be given as a fraction in simplest form!
Any help is appreciated!
Answer:
16/27
Step-by-step explanation:
12 boys and 16 girls
She already chose a boy so now there are (11+16) = 27 possible outcomes
There are 16 favorable outcomes(girl)
so the fraction is 16/27
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The football team has a total of 50 jerseys. There are 20 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
Answer:40%
Step-by-step explanation:20 divided by 50 is 0.4 then multiply that by 100 and get 40
Answer:
Well the equation for this would 50*.20 = ...
The first half of the answer would be 10.
BUT!
You need to subtract 10 from 50.
50-10 = 40!
There you go.
Step-by-step explanation:
Light travels at approximately 186,000 miles per second. How is 186,000 written in scientific notation?
Answer:1.86*10^5
Step-by-step explanation:
Scientific notation is simple. First you place a decimal after the first numerical digit. Then for every digit after the decimal you would multiply by 10 to get back to the standard form. Instead of constantly multiplying by 10 you will raise the exponent.
please help me pleaseeee
Answer:
First, we can find the least common denominator for 8 and 3 which is 24.
5/8 = 15/24
1/3 = 8/24
Then we can divide 15/24 by 8/24 which is 2 1/4.
If we then do 16 divided by 2 1/4 we get 7 1/9
Answer = 7 1/9
Step-by-step explanation:
Find the number that makes the ratio equivalent to 1:4.
5:
Answer:
5:20
Step-by-step explanation:
does anyone know this?
Answer:
Hello! answer: a = 24
Step-by-step explanation:
30 × 30 = 900 18 × 18 = 324 900 - 324 = 576 24 × 24 = 576 therefore a = 24 Hope that helps!
What are the zeros of the quadratic function f(x) = 2x2 – 10x - 3?
O x=-
5
2.
731
+
2
♡
37
and x=-
8
+
37
8.
2
31 and x =
O x=-
O x= { I and x= + 1
o x=- and x = {+7
Answer:
B is the answer....I did this math problem
The zeroes of the quadratic function given are 5/2 + √31 / 2 and 5/2 - √31 / 2.
What are Quadratic Functions?Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.
The general form of a quadratic function is f(x) = ax² + b x + c.
Given quadratic function is
f(x) = 2x² - 10x - 3
We can find the roots of the quadratic function using the quadratic formula.
Quadratic formula for the quadratic function f(x) = ax² + b x + c is,
x = [-b ± [tex]\sqrt{b^2-4ac}[/tex]] / 2a
Here, a = 2, b = -10 and c = -3
Substituting the values,
x = [-(-10) ± [tex]\sqrt{(-10)^2-(4*2*-3)}[/tex]] / (2 × 2)
= (10 ± √(100 + 24) ) / 4
= (10 ± √124) / 4
= (10 ± √(31 × 4)) / 4
= (10 ± √31 √4) / 4
= (10 ± 2√31) / 4
= 10/4 ± 2√31 / 4
= 5/2 ± √31 / 2
Hence the roots are 5/2 + √31 / 2 and 5/2 - √31 / 2.
Learn more about Roots of Quadratic Functions here :
https://brainly.com/question/9155953
#SPJ7
What's the mean of 33,33,8,12,3,34,10
Answer:
The mean is: 19
Step-by-step explanation:
Add all of those numbers up (133)
Divide it by the total amount of numbers (7)
133÷7=19
Answer:
Mean: 19 | Median: 12 | Mode: 33 | Range: 31
Step-by-step explanation:
It will help you find any mean: https://www.calculators.org/math/mean-median-mode.php
Steve borrowed $2000 at 8% annual interest for 6 months. How much interest did he pay? Steve paid ? in interest.
Answer:
I = (2,000) (0.08) (6)
I = (160) (6)
Steve pays $960 in interest
Step-by-step explanation:
I completed the quiz :)
Which equation represents the word sentence shown below?
The quotient of a number band 0.3 equals negative 10.
Answer:
where are the equations?
Step-by-step explanation:
tell me and I will edit my answer to answer ur question
Answer:
Step-by-step explanation:
I need the answer pls
Answer:
s
Step-by-step explanation:
sdd
Please help I'm failing
Answer:
Unit rate!
Step-by-step explanation:
A unit rate is a rate that has a denominator of 1!
~ LadyBrain
in which groupthe given angels(160,20)will fall,if their sum is 180
Answer:
Supplementary angles.
Step-by-step explanation:
We can define two big groups of pairs of angles.
Complementary and supplementary angles.
Two angles are complementary if the sum of their measures is equal to 90°
Two angles are supplementary if the sum of their measures is equal to 180°
Here, we have the angles 160° and 20°, and we know that their sum is 180°
Then we can conclude that the given angles fall in the group of the supplementary angles.
What is the surface area of a cereal box with a height of 10 inches, a width of 4 ½ inches, and a length of 7 inches?
Answer:
Surface area of a box = 293 inches ²
Step-by-step explanation:
Surface area of a box = 2(lw + lh + hw)
Where,
l = length = 7 inches
w =width = 4 1/2 inches
h = height = 10 inches
Surface area of a box = 2(lw + lh + hw)
= 2(7*4.5 + 7*10 + 10*4.5)
= 2(31.5 + 70 + 45)
= 2(146.5)
= 293 inches ²
Surface area of a box = 293 inches ²
plz help its timed!! will give brainliest
x = 7
Hope this helps!-FinnyPls help I need the maser quick
will mark brainliest
The measure of angle P is ___ degrees, rounded to the nearest hundredth.
Answer:
53°
Step-by-step explanation:
Use sine cosine or tangent (SOHCAHTOA). For this example I'll use sine.
For sine you'd use the equation sin(x)=[tex]\frac{opp}{hyp}[/tex] where x is the missing angle measure
the opposite side from x is 45 cm and the hypotenuse is 53 cm
sin(x)=[tex]\frac{45}{53}[/tex]
then rearrange the equation like this x=[tex]sin^{-1}[/tex]([tex]\frac{45}{53}[/tex])
most graphing calculators should solve it from there if you plug it in, hope this helps! :)
Donte bought a computer that was 15% off the regular price of $780. If 7.5% sales tax was added to the sale price of the computer, what was the total price Donte paid for it?
$712.72
780×0.15
117
780−117
663
663×0.075
49.725
49.725+663
712.72
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What is the surface area of a cylinder with a height of 20 meters and a diameter of 10 meters? O A) 1884 m2 OB) 863 m2 OC) 353.25 m2 OD) 785 m2
Answer:
785
Step-by-step explanation:
did the math in a calculator I got yoy
Answer:
D. 785
Step-by-step explanation:
the formula to find the surface area of a cylinder is A=2πrh+2πr^2
the diameter is a straight line through the center of a figure so half of that would be the radius and our diameter is 10 so the radius is 5
our height is 20 so now we put it into the equation it will look like this
2·π·5·20+2·π·5^2
once you do the math you will get 785.39816
an athlete is running around a circular path that has a diameter of 250 and an arc of 120 also use 3.14 as pie
Answer:
1257.14 m or 1.26 km
Step-by-step explanation: hope this helps :)
PLZ HELP ME, IM BAD AT THIS
what's the square root of 3 to the second power
Answer:
3
*if you ever need to do more math like this, I suggest using desmos :)
Answer: 3
Step-by-step explanation: So 3 square rooted 1.732² so there you have it