Answer:
Step-by-step explanation:
Using the distance formula,
[tex]AB=\sqrt{(-11-(-7))^{2}+(4-8)^{2}}=\sqrt{16+16}=4\sqrt{2}\\AC=\sqrt{(-11-(-4))^{2}+(4-4)^{2}}=7\\BC=\sqrt{(-7-(-5))^{2}+(8-4)^{2}}=\sqrt{4+16}=2\sqrt{5}\\\\[/tex]
So the perimeter is [tex]4\sqrt{2}+7+2\sqrt{5}[/tex]
Which table represents a function that does not have a constant rate of change ?
Answer:
Table A
Step-by-step explanation:
Table A doesn't have a constant rate of change because the y values don't increase constantly for each value of x. Hope this helps!!
Ibrahim
Answer:
the correct answer is option A
Step-by-step explanation:
as it doesn't has a constant change.
Solve the system equation using substitution
y+x=2
2x-y= -4
Answer:
Step-by-step explanation:
Place : y+x=2 <==> y = 2-x
and now replace y with the x-expression:
2x-(2.x)=-4 <==> 2x-2+x= 4 <==> 3x-2 =4 <==> 3x = 6 --> x = 2
and y = 2-x so y = 2-3 = -1
so the solution is S = {(2; .1)}
match each complex number with its equivalent expression i^157 i^315 i^102 i^76
Answers:
[tex]i^{157} = i\\\\i^{315} = -i\\\\i^{102} = -1\\\\i^{76} = 1\\\\[/tex]
=====================================================
Explanation:
By definition, [tex]i = \sqrt{-1}[/tex]
Squaring both sides gets us [tex]i^2 = -1[/tex]
Then multiply both sides by i to get [tex]i^3 = -i[/tex]
Repeat the last step and you should get [tex]i^4 = -i^2 = -(-1) = 1[/tex]
---------------
Notice we have this pattern going on:
[tex]i^0 = 1\\\\i^1 = i\\\\i^2 = -1\\\\i^3 = -i\\\\i^4 = 1\\\\[/tex]
Once we reach i^4, we start the process over again.
It repeats every 4 terms.
This means we'll divide the exponent over 4 and look at the remainder. We ignore the quotient completely.
157/4 = 39 remainder 1
That remainder 1 is the exponent of the simplified term
[tex]i^{157} = i^1 = i[/tex]
---------------
Similarly,
315/4 = 78 remainder 3
So [tex]i^{315} = i^3 = -i[/tex]
---------------
102/4 = 25 remainder 2
[tex]i^{102} = i^2 = -1[/tex]
----------------
76/4 = 19 remainder 0
[tex]i^{76} = i^0 = 1[/tex]
Find X, Y, and Z if (3•5)^4 • (2•3)^5 • (2•5)^7 = 2^x • 3^y • 5^z! Need this ASAP!!!
Answer:
x = 12, y = 9, z = 11
Step-by-step explanation:
(3 x 5)^4 x (2 x 3)^5 x (2 x 5)^7
= 3^4 x 5^4 x 2^5 x 3^5 x 2^7 x 5^7
= 2^(5 + 7) x 3^(4 + 5) x 5^(4 + 7)
= 2^12 x 3^9 x 5^11
so x = 12, y = 9, z = 11
On average 60 patients stay in the hospital per day. The average stay is 3 days. How many people stay in the hospital per month on average?
The graph of the equation 2x+y=7 is parallel to the graph of:
1: y=-2x+5
2: x+2y=4
3: y-2x=2
Answer:
1: y=-2x+5
Step-by-step explanation:
When two lines are parallel, the slopes are equivalent.
First, you have to turn 2x+y=7 into standard form.
2x+y=7
y=-2x+7
The slope is -2 so then you find an answer choice with -2 as the slope.
Turn all the answers into standard form first:
2: x+2y=4
2y=-x+4
y=-1/2x+4 Not choice 2 since the slope is -1/2.
3: y-2x=2
y=2x+2 Not choice 3 because the slope is positive 2.
Therefore, choice 1 is parallel to equation 2x+y=7.
Marks model train can go 1/3 around it's track in 2 minutes. If it runs at the same speed, how many laps can the train go in 9 minutes?
Answer:
(3 laps / minute) (9 minutes) = 27 laps
Step-by-step explanation:
my dad help me out on this one a while ago here you go :)
Answer: 27 i think
Step-by-step explanation: hope i got it right
A Cinco de Mayo parade has 140 dancers. The
dancers are 35% of the people marching in the
parade.
What is the total number of people marching?
The total of people in the Cinco de Mayo parade if there are 140 dancers and these represent the 35% is 400.
How do I find out the total of people in the parade?This information can be known by using the information given about the dancers and a rule of three.
In this case, we know 140 dancers are equal to 35%. This means:
140 = 35 %
x = 100 %
x= 140 x 100 = 35
x= 14000 / 35 = 400
This means 400 are the total people in the parade.
Learn more about Cinco de Mayo in https://brainly.com/question/440893
Write an equation based on the graph. Please help 15 points!
Answer should be:
y = -3x - 3
Answer:
The equation is y = - 3x - 3
Step-by-step explanation:
Step 1:
Equations always start with y = (unless you are in grade 11) in which case you start with f(x) =
Step 2:
Use rise over run to find the slope (since its based on graph, if not there is a formula to find it when given coordinate points only)
So to use rise over run, you count how many squares upwards starting from a point that aligns in the graph (in this case the bolded dots)
So you start at (-2, 3) and count how many squares up or down to the next bolded dot (if its up its positive, if you have to go down then its negative).
Then once youve reached the same y-value as the the other dot, count how many squares to the right.
So in this case, you have to go down 6 times and right 2 times.
So as a fraction its -6/2 but that can be simplified to just -3
So thats the slope: -3
Step 3
then you need to find the y-intercept (where the line touches the y-axis)
Its easy: you can visually see that the line crosses at -3.
and the format for the equation is y = mx + b
m = slope
b= y-intercept
SO: y= -3x - 3
Brainliest?
Kevin and Randy Muise have a jar containing 46 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $7.10. How many of each type of coin do they have?
Answers:
24 quarters
22 nickels
==========================================================
Work Shown:
q = number of quarters
n = number of nickels
q+n = 46 coins total which solves to n = 46-q
25q = value of all the quarters in cents
5n = value of all the nickels in cents
25q+5n = value (cents) of all the coins of both types
25q+5n = 710 cents total = $7.10
-------------
Apply substitution.
25q+5n = 710
25q+5(46-q) = 710
25q+230-5q = 710
20q+230 = 710
20q = 710-230
20q = 480
q = 480/20
q = 24
They have 24 quarters
This yields 25*q = 25*24 = 600 cents = $6.00 so far.
Use that value of q to find n
n = 46-q
n = 46-24
n = 22
They also have 22 nickels.
They have an additional 5n = 5*22 = 110 cents = $1.10
In total, they have 6.00+1.10 = 7.10 dollars which confirms we have the correct coin counts. Also, q+n = 24+22 = 46.
Write an equivalent expression to 12x + 8y please helppp
Answer:
factor and get 4 ( 3x + 2y )
Step-by-step explanation:
4 x 3 is 12 and 4 x 2 is 8
18 out of 25 students have a pet. What percent have a pet?
Answer:
72%
Step-by-step explanation:
18/25 x 4= 72/100
=72%
Answer:
72%
Step-by-step explanation:
To convert fractions into percentages we could change to decimal and then multiply by 100 but it would be easier to just make the fraction's denominator to 100 by finding an equivalent fraction:
18/25 = 18×4/25×4
72/100
So 72% of students have a pet
Please help… Will mark brainliest!!!
Answer:
value of a is -19
value of b is 10
Step-by-step explanation:
Given
p(x) = 6x³ + ax² + 9x + b
Since it is given (x-2) & (2x-1) are the factors of given polynomial p(x) .
So, x = 2 & x = -1/2 are the solutions of given polynomial .
when x = 2
p(2) = 6(2)³ + a(2)² + 9 (2) + b = 0
p(2) = 6×8 + 4a + 18 + b = 0
p(2) = 48 + 4a + 18 + b = 0
p(2) = 66 + 4a + b = 0
4a + b = -66 -------(i)
Now ,
when x = -½
p(-½) = 6(-½)³ + a (-½)² + 9(-½) + b = 0
6 × (-⅛) + a/4 - 9/2 + b = 0
-3/4 + a/4 - 9/2 + b = 0
-3 + a -18+4b/4 = 0
-21 + a + 4b = 0
a + 4b = 21 -------(ii)
Now, multiplying the equation (ii) by 4 we get
4a + 16b = 84 -----(iii)
Substracting equation (i) from (iii) we obtain
15b = 150
b = 150/15
b = 10
Now, putting the value of b = 10 in equation (ii) we get
a + 40 = 21
a = 21-40
a = -19
So, the required value of a & b are 10 & -19 respectively .
Solve for x given that QRST is a rhombus.
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :-We have given Rhombus QRSTThe measurement of two sides of rhombus that is ( 6x - 5 ) and ( 4x + 13).To Find :-We have to find the value of x Let's Begin :-Here, We have
Rhombus QRSTWe know that,
All sides of rhombus are equal Opposite sides of rhombus are parallel to each otherTherefore,
From the figure, we can conclude that :-
[tex]\bold{ 6x - 5 = 4x + 13 }[/tex]
[tex]\sf{ 6x = 4x + 13 + 5 }[/tex]
[tex]\sf{ 6x - 4x = 13 + 5 }[/tex]
[tex]\sf{ 2x = 18 }[/tex]
[tex]\sf{ x = }{\sf{\dfrac{18}{2}}}[/tex]
[tex]\bold{ x = 9 }[/tex]
Hence, The value of x is 9 .
The measurement of the sides of rhombus QRST :-Length of side QR
[tex]\sf{ = 6x - 5 }[/tex]
[tex]\sf{ = 6(9) - 5 }[/tex]
[tex]\sf{ = 54 - 5 }[/tex]
[tex]\bold{ = 49 }[/tex]
Length of side RS
[tex]\sf{ = 4x + 13 }[/tex]
[tex]\sf{ = 4(9) + 13 }[/tex]
[tex]\sf{ = 36 + 13 }[/tex]
[tex]\bold{ = 49 }[/tex]
From above we can say that,
All sides of rhombus are equal.Some more properties of rhombus Opposite angles of rhombus are equal Diagonals of rhombus bisect each other at 90°Diagonals of rhombus also bisect the side angles of rhombus Rhombus is a quadrilateral, so the sum of interior angles of rhombus are 360°Whereas, The sum of the adjacent angles of rhombus are 180°.All rhombus are parallelogram but all parallelograms are not rhombus .A rhombus have all its side equal to each other . Therefore, the value of x in the rhombus QRST is 9
Properties of a rhombusAll the sides are equal to each otherOpposite sides are parallelIt is a four sided figure(quadrilateral)Therefore,
6x - 5 = 4x + 13
6x - 4x = 13 + 5
2x = 18
divide both sides by 2
2x / 2 = 18 / 2
x = 9
learn more on rhombus here: https://brainly.com/question/19199419
Which option is a better deal? 12 ounces of cereal for $2.99 or 17ounces of cereal for $3.52
Answer:
17 ounce cereal
Step-by-step explanation:
It is only a 53. cent difference so the better option would be the 17 ounce bag
1) Captain Salamander goes on a long journey around the worid. He travels % of the journey by plane, and the rest by boat. What fraction of the journey does he travel by boat?
Answer:
Captain salamander travels world
He travels In plane =1/4
Whole world = 1/4 -Travel distance in boat
1 or 4/4 = 1/4 - Boat
4/4 - 1/4 = BOAT
3/4 = DISTANCE TRAVELLED IN BOAT
Step-by-step explanation:
I could use help finding Tony’s mistake?
Answer: 47.5 cm^2
Step-by-step explanation:
Tony's mistake is that he added the area of the rectangle and triangle. Instead you should subtract the area of the triangle from the rectangle.
1. The area of the rectangle is 5*11 = 55 cm^2
2. The area of the nonshaded triangle is 5*3*(1/2) = 7.5 cm^2
3. The area of the shaded region is the area of the rectangle minus the area of the triangle. This equals 55 - 7.5 cm^2 = 47.5 cm^2
how to solve this equation
Answer:
See below.
Step-by-step explanation:
The closest numbers I could find were 26+26, and 24+28.
-hope it helps
Answer:
25 and 27
Step-by-step explanation:
given two number are X+2,X+4
X+2+X+4=52
2x+6=52
2X=52-6
X=46/2
X=23
X+2=23+2=25
X+4=23+4=27
hope this will help you
A restaurant orders corn tortillas and flour tortillas. The ratio of the number of corn tortillas to flour tortillas is 3:4. What is the ratio of flour tortillas
to total tortillas?
4:10
3:7
3:10
4:7
4:7
Step-by-step explanation:
The ratio of the number of corn tortillas to flour tortillas is 3:4. So this means there are at least 3 corn tortillas and 4 flour tortillas.
We need to add 3 and 4 to see the simplified total of tortillas. 3+4=7.
There is a total of 7 tortillas regardless of their type.
Now we just need to compare this with the number they already gave us for flour tortillas, which is 4.
4:7 or 4 flour:7 in total
The ratio of flour tortillas to total tortillas is 4:7.
supplementary angles. If m
∠
A
=
(
6
x
−
30
)
∘
∠A=(6x−30)
∘
and m
∠
B
=
(
8
x
+
28
)
∘
∠B=(8x+28)
∘
, then find the measure of
∠
A
∠A.
Answer:
Jouc ÷4 i for number 69263
hope it helps
Complete the table for the given function. y = x^2 + (-3)
Answer:
1-1=2
4÷2=2
2÷2=1
69+69=138
100+100=200
7-4=3
What are the coordinates for the given point N(-6,3) after it is rotated
90-degrees about the origin?
What are the coordinates for the given point P(2,-3) after it is
translated using the following vector <-8,5>, then dilated about the origin
with a scale factor of ½.
Answer:
A
D
Step-by-step explanation:
(x,y)→(−y,x)
(-6,3)→(-3,-6)
(2,-3)→(-6,2)→(-3,1)
Help me please!!!
X=?
Y=?
Answer:
x=45
y=6
Step-by-step explanation
Need help with this
Answer: 5,356 is the right asnwer
Step-by-step explanation: I did the paper hope this helps :)
Miles Traveled
225
175
Miles
125
75
25
→
0 1 2 3 4 5 6 7 8 9 10
Hours
Identify the unit rate in the graph
А 40 mgh
B) 75 mp
50 or
D) 25 mph
Answer:
It's B)
Step-by-step explanation:
Unfortnately I don't have time to explain because I'm packing currently but the answers right! I did it in my head.
-Lemony Snicket
If x varies directly as y, and x = 30 when y = 6, find x when y = 9.
x= ?
If r // s and m∠6=56°, what is m∠2?
28°
34°
56°
124°
Answer:
I believe the answer to your question is 34°
Fraction form 60 to 81 inches
Answer:
20/27
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 60 and 81 is 3
Divide both the numerator and denominator by the GCD
60 ÷ 3
----------
81 ÷ 3
Reduced fraction:
20/27
Therefore, 60/81 simplified to lowest terms is 20/27.
hope that helps.
Answer:
The simplified fraction form is [tex]\frac{20}{27}[/tex].
Step-by-step explanation:
[tex]\frac{60}{81} = \frac{20}{27}[/tex]
3.Divide 30 stickers between Hema and Rekha in the ratio 3:7. How many stickers will Rekha nd Hima get?
Answer:
Hema - 9 stickers Rekha - 21 stickers
Step-by-step explanation:
Total Number of stickers given - 30
Ratio of stickers divided between Hema and Rekha - 3:7
Let the number of stickers Hema have be 3x
Let the nunber of stickers Rekha have be 7x
According to question,
3x+7x=30
10x=30
x=30/10
x=3
Therefore,
Number of stickers Hema got = 3x
= 3*3
= 9
Number of stickers Rekha got = 7x
= 7*3
= 21
Hence,
Hema will get 9 stickers
Rekha will get 21 stickers
A baker decorates 42cupcakes in 30 minutes. She decorates cupcakes at a constant rate.
How many cupcakes can the baker decorate per minute?
Answer: 1.4 min per min
Step-by-step explanation: sorry if wrong
