Answer:
Following are the calculated points to the given question:
Step-by-step explanation:
[tex]When\ x=-8\\\\y=\frac{1}{2}(-8)+1=-3\\\\[/tex]
so,
[tex]Point \ A(-8,-3)[/tex]
[tex]When\ x=-4\\\\y=\frac{1}{2}(-4)+1=-1\\\\[/tex]
so,
[tex]Point \ B(-4,-1)[/tex]
[tex]When\ x=0\\\\y=\frac{1}{2}(0)+1=1\\\\[/tex]
so,
[tex]Point \ C(0,1)[/tex]
[tex]When\ x=2\\\\y=\frac{1}{2}(2)+1=2\\\\[/tex]
so,
[tex]Point \ D(2,2)[/tex]
[tex]When\ x=6\\\\y=\frac{1}{2}(6)+1=4\\\\[/tex]
so,
[tex]Point \ E(6,4)[/tex]
find the value of a and b if 5+√3/7+2√3=a-b√3
Answer:
Step-by-step explanation:
find the value of a and b if 5+√3/7+2√3=a-b√3
PICTURE) Could someone please correct my answer and explain 6 for me marking brainliest
Answer:
For number 5, it is D
For number 6, it is A
Step-by-step explanation:
For number 5, we have the dimensions options here.
We first need to check to see if all the choices give the perimeter of 34, as sometimes there are trick answers.
We know the 34 is the perimeter because we are looking for area, so we add the two given numbers and double it to find the perimeter since we have the length and width.
*(Formula for perimeter is 2(L + W) )
(I already checked them all, and they all give to be 34 so they are all safe.)
Then we find the areas of each.
*(Formula for area is L * W {the " * " symbol represents multiplication.)
We multiply 12 by 5 to get 60.
We multiply 13 by 4 to get 52.
We multiply 10 by 7 to get 70.
We multiply 9 by 8 to get 72.
Since we are looking for the greatest area, we look for the greatest number, which is the 72.
Therefore the 9 by 8 option, or D is correct.
For number 6, we are looking for the minimum perimeter and we have the area, so we set the same thing up except modified slightly.
We first check if all the areas are 64 to look for a trick answer.
We multiply 8 by 8 to get 64.
We multiply 1 by 64 to get 64.
We multiply 6 by 6 to get 36. (WHAT?!!?!! omg me big brain lolza. {nah jk})
We multiply 32 by 2 to get 64.
So we know the 6 by 6 option or C is wrong.
Then we look for the perimeters of the dimension solutions.
(This will skip C so it will go A, B, and then D, since we know C is incorrect and is unrelated now.)
2 ( 8 + 8 ) = 32
2 ( 1 + 64 ) = 130
2 ( 32 + 2 ) = 68.
Since we are looking for the smallest perimeter, it is the smallest answer this time.
So it must be A, since 32 is the smallest.
Hope this helps!
In the adjoining fig. In a circle with centre C and chord DE ,ahe CF perpendicular to chord DE.If diameter of a circle is 20cm and DE=16cm,then CF=?GIVE REASON
DC=CF
Diameter=20cmRadius=20/2=10cmWe know
[tex]\boxed{\sf L=\dfrac{\theta}{180}\times πr}[/tex]
[tex]\\ \large\sf\longmapsto L=\dfrac{90}{180}\times \dfrac{22}{7}\times 10[/tex]
[tex]\\ \large\sf\longmapsto L=\dfrac{1}{2}\times \dfrac{220}{7}[/tex]
[tex]\\ \large\sf\longmapsto L=\dfrac{110}{7}[/tex]
[tex]\\ \large\sf\longmapsto L=15.5[/tex]
Now
[tex]\\ \large\sf\longmapsto CF=L+r-DE[/tex]
[tex]\\ \large\sf\longmapsto CF=15.7+10-16[/tex]
[tex]\\ \large\sf\longmapsto CF=25.7-16[/tex]
[tex]\\ \large\sf\longmapsto CF=9.7cm[/tex]
[tex]\large\sf\red{⟼L=18090×722×10}[/tex]
[tex]\begin{gathered}\\ \large\sf\red{ ⟼ L=\dfrac{1}{2}\times \dfrac{220}{7}}\end{gathered}[/tex]
[tex]\begin{gathered}{ \large\sf\red{⟼ L=\dfrac{110}{7}}\end{gathered}[/tex]
⟼ L=15.5
Now
⟼ CF=L+r−DE
⟼ CF=15.7+10−16
⟼ CF=25.7−16
⟼CF=9.7cmSomebody can help me please
Click the photo to solve the photo
Answer:
A=2
B=4
C=6
D=5
E=7
F=8
G=3
H=1
Step-by-step explanation:
explanation is in the picture!
Kathryn plants two different types of tomato plant. She records the number of tomatoes that she picks from each plant every day. Her records are shown below:
Plant A: 4, 6, 7, 3, 5, 2, 1, 3, 6, 5
Plant B: 5, 6, 7, 6, 8, 9, 6, 7, 7, 9
Which plant has the more consistent yield of tomatoes?
not enough information to tell
they produce about the same amount of plants
Plant A
Plant B
Answer:
Plant B
Step-by-step explanation:
When you compare the number of tomatoes she picks from plant B with plant A, you will notice that plant B has not produced less tomatoes than plant A in any day but it has either produced the same or more number of tomatoes.
A car is travelling in the velocity of 20 m/ s . After 30 sec it covers a distance of 1200 m. Calculate the acceleration of car and the final velocity of the car
Answer:
given values are:
u=20 m/st= 30 ss= 1200 mv= ?a=?s = ut + 1/2 at²1200 = 20×30 + 1/2 × 30²a
1200= 600 + 1/2 × 900a
600 = 450a
a = 600 / 450
a = 1.33 m/s²
v²= u² +2asv² = 20² +2 × 1.33 × 1200
v²= 400 + 3192
v = √3592
v = 59.9 ≈ 60 m/s
find the perimeter of the polygon
Answer:
101
10+6+16+6*5
I hope it's correct
Find a 2-digit number smaller than 50, the sum of whose digits does not change after being multiplied by a number greater than 1
The only 2-digit number that is lesser than 50 and the sum of its digits remain unaffected despite being multiplied by a number < 1 would be '18.'
To prove, we will look at some situations:
If we add up the two digits of 18. We get,
[tex]1 + 8 = 9[/tex]
And we multiply 18 by 2 which is greater than 1. We get,
[tex]18[/tex] × [tex]2 = 36[/tex]
The sum remains the same i.e. [tex]3 + 6 = 9[/tex]
Similarly,
If 18 is multiplied to 3(greater than 1), the sum of the two digits comprising the number still remains the same;
[tex]18[/tex] × [tex]3 = 54[/tex]
where (5 + 4 = 9)
Once more,
Even if 18 is multiplied to 4 or 5(greater than 1), the sum of its digits will still be 9.
[tex]18[/tex] × [tex]4 = 72[/tex]
[tex](7 + 2 = 9)[/tex]
[tex]18[/tex] × [tex]5 = 90[/tex]
[tex](9 + 0 = 9)[/tex]
Thus, 18 is the answer.
Learn more about 'numbers' here: brainly.com/question/1624562
Instructions: Find the missing side. Round your answer to the nearest
tenth.
590
28
X
X=
right triangle hypotenuse is 16 angle is 22° and adjacent angle is x
Answer:
68 degrees 90+22=112 180 subtract 112 = 68
I am not sure. Is this right?
Answer:
14.4
Step-by-step explanation:
since the longest side is 24,find the shortest side
√20^2-12^2
√400-144
√256
=16
which means the other shortest side is 24-16
which is 8
then you have to use the 12 and 8 to find the unknown side
√12^2+8^2
144+64
√208
14.4
I hope this helps
Which is the graph of y = log4(x+3)?
Answer:
Step-by-step explanation:
Answer:
Option c points at (-2,0) (-1, 0.5) and (1,1)
Step-by-step explanation:
Write the quotient as a single power?
[tex]\frac{7^4}{7^0}[/tex]
7^4/7^0
= 7^4/1 (n^0 = 1)
= 7^4
Must click thanks and mark brainliest
Find EF
-----------------------------------------------
===========================================================
Work Shown:
(whole length)*(external part) = (whole length)*(external part)
(EG)*(FG) = (SG)*(HG)
(2x+4)*(4) = (x+5)*(5)
8x+16 = 5x+25
8x-5x = 25-16
3x = 9
x = 9/3
x = 3
Use this x value to find EF
EF = 2x
EF = 2*3
EF = 6
For more information, search out "secant secant formula". It's not a typo that I wrote "secant" twice.
A trapezoid is a polygon that has exactly one pair of parallel sides.
Select one:
True
False
false dsddsfsdfsfdfdsfdsdfsdfsdsfdfsfdsdfsdfsdfsfdsfd
(PICTURE) Im really struggling with questions like these at the moment, if you could please help me out thank you
Answer:
Arthur should select the Mount Joy Pool when there are less than 10 people at the party
Step-by-step explanation:
The initial fee to rent the Woodbridge Pool = $50
The additional fee per person after renting = $5
The initial fee to rent at Mount Joy Pool = 0 (no initial fee)
The fee per person at Mount Joy Pool = $10
The equation of a straight line is y = m·x + c
Ley y represent the total cost of renting the pool, x, represent the number of persons in the pool, m represent the fee per person and c represent the initial charges, we get;
The total cost of renting Woodbridge Pool, y = 5·x + 50
The total cost of renting the Joy Pool, y = 10·x
Equating both values of y gives;
5·x + 50 = 10·x
∴ 5·x = 50
x = 50/5 = 10
x = 10
From the above equations, the cost of renting the pool is lower for the Joy Pool when there are less than 10 persons at the pool
It will cost the same amount to rent the pool when the number of persons in the pool are 10 persons and the cost of renting the Mount Joy Pool will be more than the cost of renting the Woodbridge Pool, when there are more than 10 persons
Therefore, Arthur should select the Mount Joy Pool when there are less than 10 people at the party.
A plank 6m long leans against a vertical wall so that the foot of the plank is 4m away from the wall. A lizard climbs 2m up the plank. Calculate the horizontal distance between the lizard and the wall.
Answer: [tex]\dfrac{8}{3}\ m[/tex]
Step-by-step explanation:
Given
Length of the plank is [tex]6\ m[/tex]
Foot of the flank is [tex]4\ m[/tex] away from the wall
Lizard climbs 2 m up the wall
from the figure, the two triangles are similar
[tex]\therefore \dfrac{2}{6}=\dfrac{x}{4}\\\\\Rightarrow x=4\times \dfrac{2}{6}\\\\\Rightarrow x=\dfrac{4}{3}\ m[/tex]
So, the distance from the wall is
[tex]\Rightarrow 4-x\\\\\Rightarrow 4-\dfrac{4}{3}\\\\\Rightarrow \dfrac{8}{3}\ m[/tex]
could someone help me with this (picture) please explain if you could I don't really understand.
Answer:
10t + D = 40
Step-by-step explanation:
y = mx + b is the equation of a line in slope intercept form. We'll be using this equation since the slope, or distance traveled, is steady (linear). In this case, the slope is 10 since Sarah's pace is 10 km/hr. m is the slope, so m = 10.
y = 10x + b. However, she needs to run 40 km. So we're going to substitute 40 in for y.
40 = 10x + b. Now, we need to use t instead of x since that's what's been asked of us. (The slope represents the distance traveled over time, so t fits.)
10t + b = 40
b needs to become D, the distance in kilometers.
So now we have 10t + D = 40
Answer:
D(t)= 40-10t
Step-by-step explanation:
#KmNn
1.) Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.
2.) Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.
3.) Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation
9514 1404 393
Answer:
x = x+10 = x+1x+1 = x+1Step-by-step explanation:
1. There will be no solution if the equation is a contradiction. Usually, it is something that can be reduced to 0 = 1.
If we choose to make our equation ...
x = x +1
Subtracting x from both sides of the equation gives ...
0 = 1
There is no value of the variable that will make this be true.
__
2. Something that reduces to x = c will have one solution. One such equation is ...
0 = x+1
x = -1 . . . . subtract 1 from both sides
__
3. Something that reduces to x = x will have an infinite number of solutions.
One such equation is ...
x+1 = x+1
Subtracting 1 from both sides gives ...
x = x . . . . true for all values of x
En un cine que hay 550 personas, el 30% va a ver una película de terror, el 25% va a ver una novela, el restante va a ver una pelicula de ciencia ficcion ¿ cuantas personas van a ver cada pelicula?
POR FAVOR AYUDENMEN!!!!
Answer:
165 ver una pelicula de terror, 137.5 (138) ver una novela, y 247 ver una pelicula de ciencia ficcion.
Step-by-step explanation:
0.3 x 550 = 165
0.25 x 550 = 137.5 --> 138
165 + 138 = 303
550 - 303 = 247
The product of two numbers is 10000.If one number is 16 times the other numbers ,find the two numbers.
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
➯Question:The product of two numbers is 10000. If one number is 16 times the other numbers ,find the two numbers.Answer:Both numbers are 25 and 400.Step By Step Explanation:Given that:The product of two numbers is 10000.One number is 16 times the other number.To Find:Both numbers?Solution:Let us consider that one number be n, in question it is stated that other number is 16 times the first number. Therefore, other number is 16n.According to the Question :[tex]\sf↦ Product ~of ~numbers = 10000\\\\↦ n × 16n = 10000\\\\↦ 16n² = 10000\\\\↦ n² = \sf \dfrac{10000}{16}\\\\↦ \sf n = \sqrt{\dfrac{10000}{16}}\\\\↦ \sf n = \sqrt{\dfrac{100\:\times\:100}{4\:\times\:4}}\\\\↦ \sf n = {\cancel{\dfrac{100}{4}}}\\\\➦\pmb{\underline{\boxed{\sf{\pink{n = 25}}}}}[/tex]
Hence,1st number = n = 252nd number = 16n = 16 × 25 = 400∴ Hence, both numbers are 25 and 400.▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
Answer:
(25, 400) or (-25, - 400)Step-by-step explanation:
Let the numbers be x and y.
We have:
y = 16xxy = 10000Substitute y and solve for x:
x(16x) = 1000016x² = 10000x² = 10000/16x² = 625x = √625x = ± 25Then y is:
y = ± 25*16 = ± 400The numbers are:
25 and 400 or -25 and - 400Which is the inverses I still don’t get this
Answer:
C.
[tex]{ \tt{f(x) = \frac{12}{x} - 18}} \: and \: { \tt{g(x) = \frac{12}{x + 18} }}[/tex]
Step-by-step explanation:
[tex]{ \tt{f(x) = \frac{12}{x} - 18}}[/tex]
Let inverse be m:
[tex]{ \tt{m = \frac{12}{x} - 18 }} \\ { \tt{x(m + 18) = 12}} \\ { \tt{x = \frac{12}{m + 18} }} \\ \\ { \boxed{ \sf{f {}^{ - 1} (x) = g(x) = \frac{12}{x + 18} }}}[/tex]
cho hình thang vuông abcd vuông tại A và D có AD= a căn 3, DC=3,AB= 2a. chứng minh AC vuông góc với BD
I am not understanding the language
Answer:
its Vietnamese
Step-by-step explanation:
I just dont understand what that type of math is? sorry ):
Seena’s mother is 7 times as old as Seena. After 4 years
her mother will be 4 times as old as she will be then .Find
their present ages.
Seena’s mother is 4 times as old as Seena. After 5 years her mother will be 3 times as old as she will be then .Find their present ages.
Solution :✧ Let us assume :
Seena's age be x
Her mother's age be 4x
✧ After 5 years :
Seena's age = x + 5
Her mother's age = 4x + 5
✧ Ratio of age after 5 years :
Seena's mother = 3
Seena's ratio = 1
Hence, the equation is :
[tex] \looparrowright\frak{ \frac{4x + 5}{x + 5} = \frac{3}{1} }[/tex]
By cross multiplying we get
[tex] \looparrowright \frak{3(x + 5) = 4x + 5}[/tex]
[tex] \looparrowright \frak{3x + 15 = 4x + 5}[/tex]
[tex] \looparrowright \frak{x = 10}[/tex]
Hence, the ages are
Seena's age = x = 10 yrs
Her mother's age = 4x = 4 × 10 = 40 years
∴ Seena's age is 10 and her mother's is 40 respectively
Jol 28, 3:44:44 AM
Solve the equation for all values of x.
(x2 – 16)(x2 + 49) = 0
Answer:
Submit Answer
Answer:
x = 4, -4, 7i, -7i
Step-by-step explanation:
(x^2 – 16)(x^2 + 49) = 0
x^2 – 16 = 0 or x^2 + 49 = 0
x^2 = 16 or x^2 = -49
x = ± 4 or x^2 = ±7√-1 =±7i
Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces? (the answer is NOT 61 or 62.)
Answer:
x=61.71428 or 61 5/7
Step-by-step explanation:
We can use a ratio to solve
7 pieces 12 pieces
----------------- = ---------------
36 seconds x seconds
Using cross products
7x = 36*12
7x = 432
Divide by 7
7x/7 = 432/7
61 5/7
x=61.71428
Answer:
66
Step-by-step explanation:
The lines below are perpendicular. If the slope of the green line is ž, what is
the slope of the red line?
-5
5
m =
Answer:
B or (-2/3)
Step-by-step explanation:
Perpendicuar lines have negative inverse slopes SO
3/2 ---> -2/3
The population of Greater Accra increased by 20% and became 900,7000. The original population of the city was:
Answer:
the original population of the city is 7,505,833
Step-by-step explanation:
Given;
new of the population of the city, Y = 9,007,000
the percentage increase of the city, = 20% = 0.2
Let the original population of the city = X
New population, Y = X + 0.2X
Y = X(1 + 0.2)
Y = X(1.2)
Y = 1.2X
X = Y/1.2
X = (9,007,000) / 1.2
X = 7,505,833
Therefore the original population of the city is 7,505,833
Evaluate and write as an integer
(-6)^2
Answer:
36
Step-by-step explanation:
(-6)² = (-6) × (-6)
= +36