[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{5}~,~\stackrel{y_1}{5})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{4}) ~\hfill AB=\sqrt{[ 2- 5]^2 + [ 4- 5]^2} \\\\\\ AB=\sqrt{(-3)^2+(-1)^2}\implies \boxed{AB=\sqrt{10}} \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{1}) ~\hfill BC=\sqrt{[ 4- 2]^2 + [ 1- 4]^2}[/tex]
[tex]BC=\sqrt{2^2+(-3)^2}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ C(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad D(\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) ~\hfill CD=\sqrt{[ 6- 4]^2 + [ 1- 1]^2} \\\\\\ CD=\sqrt{2^2+0^2}\implies \boxed{CD=2} \\\\[-0.35em] ~\dotfill\\\\ D(\stackrel{x_1}{6}~,~\stackrel{y_1}{1})\qquad A(\stackrel{x_2}{5}~,~\stackrel{y_2}{5}) ~\hfill DA=\sqrt{[ 5- 6]^2 + [ 5- 1]^2}[/tex]
[tex]DA=\sqrt{(-1)^2+4^2}\implies \boxed{DA=\sqrt{17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{\sqrt{10}~~ + ~~\sqrt{13}~~ + ~~2~~ + ~~\sqrt{17}}~~ \approx ~~ 12.89[/tex]
17) y=-2(x-3)^2+8
Vertex: ____
Y-intercept(plug-in 0): ____
18) y=4x^2-8x-5
a=__ b=__ c=__
1. Circle: Graph upwards/downwards
2.Vertical Axis of Symmetry
X=-b/2a
X=__
3.Vertx (plug in axis of symmetry):
4. Y-intercept (plug in 0):(0,_)
5. X-intercepts (Solve by any method):
X=__,__
6.Graph the equation below:
Answer:
17. vertex (3,8)
y intercepts = -10
18. a=4,b=-8,C=-5
1. graph downwards
2.x=1
3.vertex(1,-9)
4.y intercept = -5
5.x = -1/2 or X = 5/2
A 2.25 units
C 5 units
B 4 units
0 16 units
Answer:
B
Step-by-step explanation:
If 2 chords of a circle intersect, then the product of the parts of one chord is equal to the product of the parts of the other chord , that is
BW × WD = AW × WC ( substitute values )
6 BW = 3 × 8 = 24 ( divide both sides by 6 )
BW = 4 units
Answer:
Option B
Step-by-step explanation:
Intersecting Chords theorem: When two chords intersect inside a circle, the product of their segments are equal.
AW * WC = WD * BW
3 * 8 = 6 * BW
[tex]\sf \dfrac{3*8}{6} = BW[/tex]
BW = 4 units
7) There are 260 athletes at a meeting. They
each shake hands with everyone else.
How many handshakes were there?
6. Rosanne is selling her Corvette. She wants to include a photo of her
car in the ad. Three publications give her prices for her ad with the
photograph:
Lake Success Shopsaver
$59.00
Glen Head Buyer
$71.00
Floral Park Moneysaver $50.00
a. What is the mean price of these ads? Round to the nearest cent.
b. What would it cost her to run all three ads?
c. If each of the three newspapers used the mean price as their ad
price, what would it cost Rosanne to run ads in all three papers?
d. Find the range of these ad prices.
Answer:
add them
Step-by-step explanation:
you have to add them all up because it says find the range
Work out size of angle x
Answer:
x=120°
Step-by-step explanation:
120×2=240
360-240=120
x=120
Answer:
Angle x = 120 Degrees
Step-by-step explanation:
Formula for finding out total interior angles in a polygon = (Number of sides - 2) x 180 Degrees
e.g. Triangle have 3 sides
3 - 2 = 1
1 X 180 = 180
A Triangle has a total of 180 Degrees
Total Interior angle of a hexagon = 720 Degrees
Interior angle of a regular hexagon is 720 / 6 = 120
360 Degrees in a circle
360 - 120 - 120 = 120
please help me with this problem
Answer:
x=34
Step-by-step explanation:
This is a 180-degree angle. This means, that when added, both sides must equal 180.
180-151=29
Since there is a "-5" on the side of x, we must add five to find x.
29+5=34
x=34
List three solutions for the inequality x≥5 and give one example of a number that is not a solutions.
Answer:
Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own. But these things will change direction of the inequality: Multiplying or dividing both sides by a negative number. Swapping left and right hand.JUST FOLLOW THE TEXT TO GET THE ANSWER OF THE INEQUALITY ×>5
 Find the length of the third side. If necessary, write in simplest radical form.
IMAGE DOWN BELOW!
SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER
Answer:
third side = 6
using pythagoras theorem:
a² + b² = c²
5² + (√11)² = c²25 + 11 = c²36 = c²c = √36c = 6Answer:
The length of the third side is 6 units
Step-by-step explanation:
We know that this is an right angled triangle , so
by using Pythagoras theorem we can find out the third side of the triangle ..
=> P² + B² = H²
=> 5² + (√11)² = H²
=> 25 + 11 = H²
=> 36 = H²
=> √36 = H
=> 6 = H
Find the perimeter of ΔABC and how you got it.
Answer:
[tex]\fbox{Perimeter of ∆ABC = 54 units}[/tex]
Step-by-step explanation:
Given:
➳ AC || RP
➳ AC = 18 units
➳ AR = 14 units
➳ RB = 7 units
➳ CP = 10 units
To find:
perimeter of triangle ABC =?
Solution:
in ∆ABC and ∆RBP
since we know AC || RP,
then ∠ACP = ∠RPB
and ∠CAB = ∠PRB (Property of parallel lines)
and ∠B is a common angle in both traingles,
hence ∆ABC ~ ∆RBP from AAA property!
now,
using the properties of similar triangle,
[tex] \frac{AR }{RB} = \frac{CP}{PB} \\ \\ \frac{14}{7} = \frac{10}{PB} \\ \\ X = \frac{10}{2} \\ \\ \fbox{PB = 5} \\ \\ \\ [/tex]
To find perimeter of ∆ABC, add all the components.
Perimeter of ∆ABC = AR + RB + BP +PC + CA
Perimeter of ∆ABC= 14 + 7 +5 +10 + 18 units
[tex]\fbox{Perimeter of ∆ABC = 54 units}[/tex]
Thanks for joining brainly community!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
In the given figure, PR is parallel to CA, therefore two angles of Triangle ABC is equal to two corresponding angles of Triangle RBP.
that is
[tex]\qquad \sf \dashrightarrow \:\angle BCA = \angle BPR[/tex]
[tex]\qquad \sf \dashrightarrow \:\angle BAC= \angle BRP [/tex]
[ They form pairs of corresponding angles ]
So, we can infer that :
[tex]\qquad \sf \dashrightarrow \:\triangle BAC \sim \triangle BRP [/tex]
The Triangles are similar, by AA criteria ~
let's assume measure of BP = x
Now, let's use its result :
[tex] \qquad \sf \dashrightarrow \:\dfrac{BA}{BR}= \dfrac{BC}{BP}[/tex]
[tex] \qquad \sf \dashrightarrow \:\dfrac{14 + 7}{7}= \dfrac{x + 10 }{x}[/tex]
[tex] \qquad \sf \dashrightarrow \:\dfrac{21}{7}= \dfrac{x + 10 }{x}[/tex]
[tex] \qquad \sf \dashrightarrow \:3= \dfrac{x + 10 }{x}[/tex]
[tex] \qquad \sf \dashrightarrow \:3x={x + 10 }{}[/tex]
[tex] \qquad \sf \dashrightarrow \:3x - {x = 10 }{}[/tex]
[tex]\qquad \sf \dashrightarrow \:2x = 10[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 5 \: \: units[/tex]
So, the required Sides of Triangle ABC are :
AB = 14 + 7 = 21 units AC = 18 units BC = 10 + 5 = 15 unitsTherefore, Perimeter = AB + BC + AC :
[tex]\qquad \sf \dashrightarrow \:21 + 18 + 15[/tex]
[tex]\qquad \sf \dashrightarrow \:54 \: \: units[/tex]
of money Itzel has left over after buying p bottles
of nail polish
What does the constant 25 represent in this
context?
An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall. The purpose of the awning is to prevent sunlight from entering the house when the angle of elevation of the sun is more than X = 60°
The length of awning which covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall, is 44.7 inches.
What is the law of sine?The law of sine is nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).
It can be given as,
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
Here (A,B,C) are the angle of the triangle and (a,b,c) are the sides of that triangle.
An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall.
The figure of the problem is attached below. The length of AB which is L has to be find out.
The purpose of the awning is to prevent sunlight from entering the house when the angle of elevation of the sun is more than X = 60°. Thus, the angle ABC is 30 degrees.
[tex]AB=90-60\\AB=30^o[/tex]
The sum of all the interior angle is 180 degree. Thus, the angle ACB is,
[tex]\angle ACB=180-50-30\\\angle ACB=100^o\\[/tex]
Let suppose, the length of AB is a. Thus, by the sine law,
[tex]\dfrac{\sin 30}{a}=\dfrac{\sin 100}{88}\\a=\dfrac{88\times\sin 300}{\sin 100}\\a=447\rm\; in[/tex]
Thus, the length of awning which covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall, is 44.7 inches.
Learn more about the sine law here;
https://brainly.com/question/2264443
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help me please!
I'm a little confused
Answer:
Is A
Step-b-step explanation:
40.5
Rachel’s dog had 13 puppies. She gave away 5 pups. How many puppies did Rachel have left.
Answer:
8 puppies
Step-by-step explanation:
13-5=8
Answer: she had 8 pups left
Explanation: If Rachel's dog had 13 pups all you need to do is subtract 5 from 13 which is 8.
Hope this helps-
three sides of a quadrilateral are the same length. q. the length of the fourth side is 7 inches. the perimeter of the quadrilateral is 40 inches. write an equation that represents the situation
Answer:
if you are trying to find the length of the other three sides then
40 = 3x + 7
Step-by-step explanation:
help me please i need help with all other 5 questions
Answer:
[tex] {6}^{3 } [/tex]
Step-by-step explanation:
[tex] {6}^{5 - 2 } \\ {6}^{3} [/tex]
PLEASEEEEEEEEEEEEEEEE :(
Answer:
A=128
Step-by-step explanation:
A=(25-9)^2/3√3+5
A=(16)^2/3√8
A=256/2
A=128
Answer number 3 please no bots please I’m just trying to get help.
Answer:
no 3. is C
no 4. 144 square inch
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The tip of the second hand travels around the edge of the face of a clock. How far does the tip of the second hand travel between the 6 and the 12, if the length of the second hand is 6 inches?
Recall that StartFraction Arc length over Circumference EndFraction = StartFraction n degrees over 360 degrees EndFraction.
3 pi inches
6 pi inches
12 pi inches
24 pi inches
Answer:
6 pi inches
Step-by-step explanation:
Entire minute is one entire circle
circumference = pi * d = pi * 2r = pi * 2 * 6 = 12 pi inches
from 6 to 12 position is half of a cirlce , so 6 pi inches
Answer:
6 pi inches
Step-by-step explanation:
IT MIGHT BE WRONG IF IT IS LET ME KNOW
have a nice day/night
-<- :)
PLEASE HELP!
Andrew is flying a kite. The angle of elevation of the kite varies between 56° and 60°.
Andrew has let out 15 m of string on the kite. Draw a picture to model this situation.
Then, determine the minimum and maximum heights of the kite. Round the heights
to the nearest hundredth.
Minimum=
Maximum=
The maximum height of the kite is 13 meters while the minimum height is 12.44 meters.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of the kite. Hence:
At an angle of 56°, the height is:
sin(56) = h/15
h = 12.44 m
At an angle of 60°, the height is:
sin(60) = h/15
h = 13 m
The maximum height of the kite is 13 meters while the minimum height is 12.44 meters.
Find out more on equation at: https://brainly.com/question/1214333
For what value of x does 64 superscript 3 x baseline = 512 superscript 2 x 12?
The value of x in the equation [tex]64^{3x} = 512^{2x}[/tex] is infinite
How to determine the value of x?The equation is given as:
[tex]64^{3x} = 512^{2x}[/tex]
Rewrite [tex]64^{3x}[/tex] and [tex]512^{2x}[/tex] in base 2
[tex]2^{6*3x} = 2^{9*2x}[/tex]
Evaluate 6 * 3x and 9 * 2x
[tex]2^{18x} = 2^{18x}[/tex]
By comparing the exponents, we have:
18x = 18x
Divide both sides by 18x
1 = 1
Hence, the value of x in the equation is infinite
Read more about equation solutions at:
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Answer:
D) No Solution
Step-by-step explanation:
what is the equation of the line with the slope -3 through the point (3,5)?
Answer:
[tex]\boxed{\sf{y=-3x+14}}[/tex]Step-by-step explanation:
The slope-intercept formula can be used to find the equation of the line.
Slope-intercept formula:
[tex]\Longrightarrow:\sf{y=mx+b}}[/tex]
The m represents the slope.The b represents the y-intercept.y-intercept is 14.y=-3x+14
Therefore, the correct answer is y=-3x+14.I hope this helps you! Let me know if my answer is wrong or not.
pls help on math lol
Answer:
The slope is -8 and the y intercept is -6
Step-by-step explanation:
The first numbers are the slopes and the one after that is the y intercept. ALWAYS
2(7+1)divided by 4+5
What is the area of the unshaded part of the rectangle to the right?
A. 19,000 ft²
B. 45,000 ft²
C. 28,000 ft²
D. 26,000 ft²
Answer:
D 26000
Step-by-step explanation:
100 x 100 = 10000
120 x 150 = 18000/2 = 9000
150 x 300 = 45000
10000 + 9000 = 19000
45000 - 19000 = 26000
The change in the x-coordinates of any two points on a line in the xyplane is
the
O A. slope
B. rise
C. run
D. angle
SUBMIT
Answer: The change in the x-coordinates of any two points on a line in the XY plane is the:RUN
Step-by-step explanation:
I WILL MARK BRAINLIEST
Answer:
C. $250
Step-by-step explanation:
-To find the unit rate you need to divide the Amount Earned by Time worked
-When you do this you get 6.25
-Then you multiply 6.25 by 40
-That equals 250 and therefore the answer is C
A bicycle helmet cost $41.40 in 1983. what will a bicycle helmet cost when the cpi is 186? round to the nearest cent. a. $222.58 b. $144.60 c. $77.00 d. $72.30 please select the best answer from the choices provided a b c d
Answer:
c. $77.00
Step-by-step explanation:
The CPI is 100 times the ratio of prices relative to those in some reference period. Here, we assume the reference year is 1983, so a CPI of 186 means the current prices are 1.86 times those in 1983.
1.86 × $41.40 = $77.00
The helment price will be $77.00 when the CPI is 186.
Answer:
C. $77.00
Step-by-step explanation:
Edge23
If 20% of a number is 8, find 10% of that number.
Answer:
20%=8
10%=?
by cross multiplications,
10×8=80
80÷20=4
Hence the answer is 4.
Answer:
4
Step-by-step explanation:
think about it we have 8 and 20 %, multiply 8 by 5 since theres 20 % and its 20 % of 100. 100 / 20 = 5 * 8 = 40 but since we have 20 and 10 % getting compared we obv know that it would be half what the answer for 20 % of would be so 4 :D
please help i hate math
Answer:
B and D I think
Step-by-step explanation:
im stuck and i need help
a right angle is always 90° and is you sum up all 3 of the angles of the triangle, you always get 180°, so:
180°-55°-90°= 35°