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3 years ago

How do I find the value of k

Mathematics

1 answer:

goblinko [34]3 years ago

6 0

So you have to find the equation of the line of both then find the value of k

so f(x) points are (0,1) and (2,6)

hopefully you know how to find a equation of a line between two points
if not i can explain after, most people just want the answer here anyways

y=5/2x+1

g(x) points (0,-1) and (2,4)
y=3x-2

g(x) = f(x) + k

5/2x-1= 5/2x+1 + k
so k = -2

hope this helps

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Point A has the coordinates (2,2). What are the coordinates of its image point if it is translated 2 units up and 5 units to the

Marysya12 [62]

A translation of 2 units up will increase the y coordinate by 2 units and a translation by 5 units to the left will decrease the x coordinate by 5. Hence after these translations point (2,2) becomes

(2 - 5 , 2 + 2) = (-3,4) 

When point (-3,4) is reflected in the x axis, its y coordinate changes sign and point (-3 ,4) becomes

(-3,-4)

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3 years ago

A system of equations consists of two lines. One line passes through (-1, 3) and (0, 1). The other line passes through (1, 4) an

Setler79 [48]

The equation of the line in its generic form is:
y = mx + b
Where,
m = (y2-y1) / (x2-x1)

For (-1, 3) and (0, 1):
We look for the value of m:
m = (1-3) / (0 - (- 1))
m = (- 2) / (0 + 1)
m = -2
We look for the value of b:
1 = m (0) + b
b = 1
The line is:
y = -2x + 1

For (1, 4) and (0, 2):
We look for the value of m:
m = (2-4) / (0-1)
m = (- 2) / (- 1)
m = 2
We look for the value of b:
2 = m (0) + b
b = 2
The line is:
y = 2x + 2

The system of equations is:
y = -2x + 1
y = 2x + 2

Answer:
the system has one solution

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3 years ago

1 point

wariber [46]

Answer:

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Step-by-step explanation:

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3 years ago

Write 56 as a product of primes. Use index notation when giving your answer.

mixas84 [53]

Answer:

56 as a product of primes using index notation is: $\mathbf{2^3 \times 7}$

Step-by-step explanation:

We need to write 56 as a product of primes.

Prime Numbers:

Numbers that are divisible by 1 or itself.

Now, writing 56 as product of primes

56 = 2 x 2 x 2 x 7

Now, Use index notation when giving your answer.

Index Notation:

Express elements in power form i.e. if we have 2 x 2 we can write it as 2^2

So, answer will be:

$56 = 2 \times 2 \times 2 \times 7$

$=2^3 \times 7$

So, 56 as a product of primes using index notation is: $\mathbf{2^3 \times 7}$

3 0

3 years ago

Determine whether 5, 238 is divisible by 2, 3, 4, 5, 6, 9, or 10.

Gelneren [198K]

Answer:

2, 3, 6

Step-by-step explanation:

Simply try each value using long division.

Since 5,238 ends in an even number, that automatically means it is divisible by 2.

5238/2=2619

Now for 3:

5238/3=1746 no remainder or decimal, so 3 also works

You can either do long division again with 4, or you can see if 5238 divided by 2 (5238/2) is also divisible by 2. Since 2619 doesn't end in an even number, 4 is a no go.

Long division 5238/4=1309.5 decimal here, so 4 isn't an answer

This is also very easy, simply check if the number ends in 0 or 5. Since 5,238 does not, 5 doesn't work either.

You can do the same thing as with 4, except this time trying to find if 5238 divided by 3 (5238/3) is divisible by 2. Since 1746 ends in an even number, 6 also works.

Long division: 5238/6=873

You can do the same thing as with 6, except this time trying to find if 5238 divided by 3 (5238/3) is divisible by 3.

1746/3=548 with a remainder of 2, which means 9 doesn't work

Long division: 5238/9=548.66 repeating

10:

Finally, 10 is another easy one. Simply check if the number ends in 0. 5,238 does not, so 10 doesn't work.

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2 years ago