(a) (4,4) is a point on a locus whose equation is y2 = kx. Show that (16,8) is another point on the locus.
(b) (2,3) is a point on a locus whose equation is 5x +by= 16. Show that (0,8) is another point of the locus
Step-by-step explanation:
plug the coordinate points into the equations and solve for the remaining variable.
b) (2,3) - 5(2) + b(3) = 16
10 + 3b = 16. 3b= 6. b = 2
(0,8) - 5(0) + 2(8) = 16. 0+ 16 = 16. ☆
a) (4,4) assume based on results you meant y squared. (y^2)
(4)^2 = 4k. 16 = 4k. k = 4
(8)^2 = 4(16). 64 = 64. ☆
Answer:
Please check the explanation.
Step-by-step explanation:
a)
Given
(4,4) is a point on a locus whose equation is y²=kx
Putting (4, 4) in y²=kx
(4)² = k(4)
16 = 4k
k = 16/4
k = 4
Checking the point (16, 8) on the locus
y²=kx
Putting (16, 8) and k =4 in y²=kx
y²=kx
(4)² = 4×4
16 = 16
L.H.S = R.H.S
Therefore, (16, 8) is another point on the locus.
b)
Given
(2, 3) is a point on a locus whose equation is 5x +by= 16
Putting (2, 3) in 5x +by= 16
5x+by=16
5(2)+b(3)=16
10+3b=16
3b=6
b=6/3
b=2
Putting (0, 8) and b=2 in 5x +by= 16
5x +by= 16
5(0)+2(8)=16
0+16=16
16=16
L.H.S = R.H.S
Therefore, (0, 8) is another point on the locus.
[tex]( \frac{3}{5} ) - 2[/tex]
simplify
Draw the dilation of ABCD using center D and scale factor 1/3. Label the dilation EFGH
Answer:
Please find attached, the required drawing of quadrilateral ABCD and the dilation of quadrilateral ABCD scaled down by a scale factor of 1/3
Step-by-step explanation:
The coordinates of the quadrilateral ABCD are;
A(0, 6), B(6, 6), C(9, 0), D(0, 0)
From the dilation by a scale factor of 1/3, using D as the center of dilation, we have from the attached drawing, the following coordinates of the quadrilateral EFGH as E(0, 2), F(2, 2), G(3, 0) H(0, 0) which is the quadrilateral ABCD scaled down by 1/3
Divide $63 among three men in the ratio 1/2 : 1/4 : 1/8. How much will each get?
Answer:
1st: $36
2nd: $18
3rd:$9
Step-by-step explanation:
The first man gets 4
The second gets 2
The third gets 1
4 + 2 + 1 = 7
63/7 = 9
Each part equals $9
9*4 = 36
9 * 2 = 18
9 * 1 = 9
Check:
36 + 18 + 9 =
63
What is the next term in the following sequence?
-3.4, 11, 18, ...
27
25
7
12
Answer:
the difference is seven and the next answer should be 25 because 18+7=25
Answer:
25
Step-by-step explanation:
In order to find the answer to this question you must find the rule that the sequence goes by and then add.
You can see that it adds seven in order for it to reach four and then add's seven again to reach eleven meaning the rule of this sequence is plus seven.
So now just add:
[tex]18+7=25[/tex]
[tex]=25[/tex]
Hope this helps.
Amara needs 45kilograms of meat to feed her 2pet dragons each day. Each pet dragon eats the same amount of meat.
How many kilograms of meat does Amara need to feed 4 pet dragons each day?
[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]
She needs 45 kg meat for 2 pets
each pet feed the same, i.e,
one pet eats = 45/2 = 22.5 kg meat
then 4 pet dragons will eat = [tex] 22.5kg \times 4 = 90 kg [/tex] meat.
Hence, Amara needs 90 kilograms of meat to feed 4 pet dragons each day.
There are 20 boys and 16 girls. what is the largest number of groups that you can form such that boys and girls are distributed equally among the groups?
Answer:
Step-by-step explanation:
First we find the GCF or Greatest Common Factor
20: 1, 2, 4, 5, 10, 20
16: 1, 2, 4, 8, 16
As you can see 4 is the GCF (Greatest Common Factor)
so, the largest number of groups are 4
Unless you are asking for how many girls and boys can be fit in each group then,
20 ÷ 4 = 5
16 ÷ 4 = 4
So, 5 boys and 4 girls are in each group.
I need help with the range
Answer:
[-9, 0]
Step-by-step explanation:
The range is the y values that the equation/line covers.
The line's lowest point is -9 and the line's highest point is 0. The values are defined (no open circle at the highest point) so we use brackets.
help i need it badly
Worth 15 points. Brainliest will also be given to the first correct answer.
In the movie Titanic, the blue, diamond heart-shaped necklace that was given to Rose was called _______________.
a) The Heart of the Atlantic
b) The Diamond Heart
c) The Heart of the Ocean
d) The Royal Diamond
Answer: It is C
Step-by-step explanation: Love the movie I cry that Jake didn't make it :(
What’s the greatest common factor of 36 , 48, an 80?
Answer: 4
Step-by-step explanation:
36,48,80
80 = 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
36 = 1, 2, 3, 4, 6, 9, 12, 18, 36
21 divided 3/8
PLZ HELP!
Answer:
56
Step-by-step explanation:
The height of the Statue of Liberty is 305 feet. Nicole, who is standing next to the statue, casts a 6-foot shadow. She is 5 feet tall. How long should the shadow of the statue be?
Answer:
Create a proportion.
[tex]\frac{5}{6} = \frac{305}{x}\\[/tex]
This proportion is saying,
"If 5 corresponds to 6, then 305 corresponds to what?"
Cross multiply.
5x = 305(6)
5x = 1830
x = 1830 / 5
x = 366
So, the shadow of the statue should be 366 feet.
Please answer C and D please ! I would love you forever !!!!
Answer:
First i need you to tell me the pattern and then i will help you :)
Step-by-step explanation:
-4/1
-1/0
2/1
5/2
8/3
or put then as ratios the same way i am not so sure
Answer:
Do you love me?
Step-by-step explanation:
Solve *
(7 Points)
9a + 28 = 4a +3
A -30
B 20
C 6.2
D -5
Answer:
D -5
Step-by-step explanation:
9+28−28=4+3−28
9=4−25
9−4=4−25−4
5a=−25
5
=
−
2
5
5a=-25
5a=−25
5a/5
=−25/5
a=-5
-1= 4 -5x can you please answer this
Answer:
x=1
Step-by-step explanation:
1*5 is 5 and 4 minus 5 is -1 hope this helped :)
find the ratio of the volume of the triangular prism
Answer:
Explanation:
ratio of volume
prism
:
cuboid
:
:
90
:
600
now cancel down
9
0
:
60
0
:
:
9
:
60
divide by 3
:
:
3
:
20
What number needs to be in the blank for this system to have an infinite number of solutions?
y = -3x + 1
6x + 2y = ?
Answer:
? = 2
Step-by-step explanation:
Given:
y = -3x + 1
6x + 2y = ?
Slope-intercept form:
6x + 2y = a
y = a/2 - 3x
y = -3x + a/2
or y = -3x + 1/2a
Go back to given equations:
y = -3x + 1
y = -3x + 1/2a
y = y
-3x + 1 = -3x + 1/2a
1 = 1/2a
a = 2
What is the slope?
у
-2
3
-1
0
1
1
3
2
5
Answer:
Slope = 2
Step-by-step explanation:
5-3
over
2-1 is
2 over 1 which is slope of 2
Jason spent $140 in six days. He spent $20 on the first day. He spent the same amount of money during the next five days. How much did Jason spend each day during the last five days?
Answer:
24
Step-by-step explanation:
140-20= 120
120 divided by 5= 24
To check do 24 times 5 and add the 20 from day 1.
Find the equation that passes through points A and B
Answer:
Step-by-step explanation:
A(1,7); B(-3,-1); slope m =(-1-7)/-3-1) = -8/-4 = 2
Equation of a line AB is
((y-y1) = m(x-x1)
y - 7 = 2(x-1)
y - 7 = 2x-2
y = 2x + 5
Answer:
y = 2x +5
Step-by-step explanation:
Equation of a line
The point-slope form of the equation of a line is:
y - k = m ( x - h )
Where m is the slope and (h,k) is a point through which the line passes.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The image provides two points A(1,7) and B(-3,-1), thus the slope is:
[tex]\displaystyle m=\frac{-1-7}{-3-1}[/tex]
[tex]\displaystyle m=\frac{-8}{-4}[/tex]
m = 2
Now we apply the point-slope form taking the point (1,7):
y - 7 = 2 ( x - 1 )
Operating:
y - 7 = 2x - 2
Adding 7:
y = 2x +5
9,051.7 divided by 5=?
Answer:
1810.34
Step-by-step explanation:
Just use a calculator
What is the domain of the function represented by the graph?
Answer: Choice C. [tex]x \ge -3[/tex]
============================================
Explanation:
The domain is the set of all allowed x inputs.
Here we see that x = -3 is the smallest x value possible as it is from the left-most point. The graph goes on forever to the right, so there is no largest x value. Effectively infinity is the largest x value even though infinity is not a number.
We can say the domain is [tex]-3 \le x < \infty[/tex] which can be simplified to [tex]-3 \le x[/tex] or [tex]x \ge -3[/tex]
In short: x can be -3 or larger.
Can someone help me with this ??
Throe would like to hire a guitarist for his charity concert. Guitarists A and B are offering their services to
Throe but each guitarist charges different initial fees and hourly rates. How can Throe check to see when
they will charge the same amount of money? Name three ways to perform this task.
Answer:
guitarist a&b I often their service to throne but each guitarist charge different intentional feeds and hourly rates how can the throne check to see when they will charge the same amount of money named three ways to perform this task answer
Please help! It’s already late! Help asap!
Answer:
B will be correct answer
Step-by-step explanation:
i dont know what this is i just know it requires work
Answer
1. 6x + 18 = 48
2. x/2 + 6 = 14
Step-by-step explanation:
1. Its 18 plus meaning + then 6$ per hour and we dont know how many hours so you put the X next to it!
2. First he sold half so but we dont know the starting number so we put x/2 then we have to add 6 and we get 16
Can you please tell me which one it is?? its okay if not
Answer:
estimate
Step-by-step explanation:
BRAINLIEST PLSSSSSSS PSLPSLSSLSSS
Answer:
estimate
Step-by-step explanation:
because when we estimate it will give us a value close to the exact value.
Yesterday, between noon and midnight, the temperature went down by 32.1°F. If the temperature was -6.6°F at midnight, what was it at noon?
Answer:
25.5°F
Step-by-step explanation:
²3¹¹2.¹1
6.6 - Bold means that its supposed to have a strikethrough 2 5.5 meaning the number is being cancelled
just take 6.6 away from 32.1
In this figure, DC is parallel to AB. angle DCA is 3x+14, angle ACB is 10x+12, and angle CAB is 5x-2. Find the degrees in angle CBA.
Answer:
Angle CBA = 50 degrees
Step-by-step explanation:
Known Information:
DC is parallel to ABAngles DCA and CAB are equal (they are alternate interior angles)Angles CAB + ACB + CBA = 180°Calculations:
[tex]3x + 14 = 5x - 2[/tex][tex]16 = 2x[/tex] [tex]x = 8[/tex][tex]180 - CAB - ACB = CBA[/tex][tex]180 - [ 5(8) - 2] - [ 10(8) + 12] = CBA[/tex][tex]100- [38] - [92] = CAB[/tex][tex]CBA = 50[/tex]The measure of the angle CBA is 50 degrees if DC is parallel to AB. angle DCA is 3x+14.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
We have:
DC is parallel to AB. angle DCA is 3x+14, angle ACB is 10x+12, and angle CAB is 5x-2.
The equation can be framed:
3x + 14 = 5x - 2
x = 8
Angle CBA = 180 - (Angle CAB - Angle ACB)
Angle CBA = 180 - [5(8)-2+10(8)+12]
Angle CBA = 180 - [40-2+80+12]
Angle CBA = 180 - [40-2+80+12]
Angle CBA = 50
Thus, the measure of the angle CBA is 50 degrees if DC is parallel to AB. angle DCA is 3x+14.
Learn more about the angle here:
brainly.com/question/7116550
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