1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nekit [7.7K]
3 years ago
14

(a) (4,4) is a point on a locus whose equation is y2 = kx. Show that (16,8) is another point on the locus.

Mathematics
2 answers:
Vlad [161]3 years ago
6 0

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. ☆

IgorLugansk [536]3 years ago
3 0

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.

You might be interested in
What is the relationship between the 6's in the number 6,647?
Gennadij [26K]
The first 6 is in the hundreds and the other six is in the thousands
8 0
3 years ago
A rectangular prism has a length of 1 centimeters, a width of 4 centimeters, and a height of
gregori [183]

Answer: 13 cm^3

Step-by-step explanation:

The volume of a rectangular prism is the height*width*length.

3 1/4 as a decimal is 3.25.

Now we can plug in the given values into the formula for the volume.

Therefore, the volume = 3.25 cm * 4 cm * 1 cm

= 13 cm^3

4 0
2 years ago
Read 2 more answers
Please help need answers ​
IceJOKER [234]

Answer:

Option B will be your answer

Step-by-step explanation:

hope it helps

4 0
3 years ago
Read 2 more answers
3. The circumference of the Earth is approximately 25,000 miles at the equator. What is the distance in scientific notation?
SIZIF [17.4K]
<span>2.5 × 104 miles................................................................</span>
7 0
3 years ago
Read 2 more answers
Show that the triangles are similar by comparing the ratios of the corresponding sides. Simplify your answer completely in order
kirill [66]

Answer/Step-by-step explanation:

AC = 1.2

AB = 4

BC = 2.6

DF = 3

DE = 10

EF = 6.5

Thus:

\frac{DE}{AB} = \frac{10}{4} = \frac{5}{2}

\frac{DF}{AC} = \frac{3}{1.2} = \frac{3*10}{1.2*10} = \frac{30}{12} = \frac{5}{2}

\frac{EF}{BC} = \frac{6.5}{2.6} = \frac{6.5*10}{2.6*10} = \frac{65}{26} = \frac{5}{2}

The ratio of their corresponding sides are all equal to ⁵/2. Therefore, both triangles are similar.

4 0
3 years ago
Other questions:
  • Which rhythmic value gets the beat in 4/8?
    7·1 answer
  • Write each fraction or mixed number as a decimal -1 2/9
    13·1 answer
  • I don't know how to convert meters to centameter
    9·2 answers
  • Can u help with 8 and 10? And check the rest??
    10·2 answers
  • What is the value of x and y
    6·1 answer
  • How to write 1 2/5 as a percent
    7·2 answers
  • Can you please help and explain this to me please ​
    15·2 answers
  • Plz Help me<br><br>3x + 5y = 13 <br>2x + y = 4​
    12·1 answer
  • 3 bananas and 1 apple cost £2.45 <br> 1 apple costs £0.35 <br> How much does 1 banana cost?
    15·2 answers
  • URGENT! WILL MARK BRAINLIEST!!
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!