The function y = 2x + 2 and
y = 5/2x + k intersect at the point
(2,6). Find the value of k.

Answer:

x=2

Step-by-step explanation:

4x-4=12-4x

8x=16

x=16/8

x=2

(brainliest plz :o)

Given :-

To Find :-

Solution :-

As we know that ,

→ (-) × (-) = (+)

→ (-) × (+) = (-)

→ (+) × (-) = (-)

→ (+) × (+) = (+)

On using these open the brackets ,

→ -1/3 - 1( -4 + 1/6 )

→ -1/3 - 1(-4) + -1(+1/6)

→ -1/3 (-)(-)(1* 4) (+)(-) (1*1/6)

On using now above stated rules ,

→ -1/3 +4 -1/6

Somewhat rearrange ,

→ 4 -1/3 -1/6

Take (-) as common,

→ 4 - (1/3 +1/6)

Hence Option (d) & (f) are correct .

I hope this helps.

Answer:

     y = 2

Step-by-step explanation: Given in the question,

a co-ordinate = (-2,2)

x = -2

y = 2

Equation of the straight line

y = mx + c

here m = gradient of the line  

c = y - intercept

we know that gradient of the horizontal line = 0

plug value in the equation above

y = (0)x + 2

y = 2

The given expression 3d - 4 is a linear expression.

Given that,
To classify the expression 3d - 4.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the linear function, cubic function, etc. ax+b is a polynomial.

Here,
Given expression 3d - 4, which only contains one variable d and one constant 4, or exponent to the variable is also 1 implies the expression is linear expression.

Thus, the given expression 3d - 4 is a linear expression.

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Answer:

0.081

Step-by-step explanation:

7.29 divided by 90 = 0.081

To calculate the number of divisors by the prime factors, one has to take all the exponents in the factorization.

It should be noted that a prime factor simply means the prime numbers that are multiplied to get a number.

In order to calculate the number of divisors by the prime factors, one has to take all the exponents in the factorization, add one to each and then multiply the exponents.

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Answer:

they are both in thenegivtives

Answer:

1/216

Step-by-step explanation:

[tex]\\ \tt\hookrightarrow 6^{-8}\times 6^5[/tex]

[tex]\\ \tt\hookrightarrow 6^{-8+5}[/tex]

[tex]\\ \tt\hookrightarrow 6^{-3}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{1}{6^3}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{1}{216}[/tex]

Step-by-step explanation:

20

opposite angles are equal

6x = 120

x = 20

Answer:

A.  3x+2

Step-by-step explanation:

9x^2 + 12x + 4

can be factored:

(3x+2)(3x+2)

All sides of a square are the same length.  The area is two of the sides multiplied together.  Thus, (3x+2) must be the length of a side (all sides, actually)

3x+2

Answer:

y = 3x - 1

Explanation:

1)

passes y-axis means x will be 0,

when x = 0,

y = 3x − 1

y = 3(0)-1

y = -1 ................so matches with option 1.

2)

Here given in second option passes through ( 1 , 2 )

if x = 1

y = 3x − 1

y = 3(1) − 1

y = 2 ..........................so matches with option 2.

Therefore equation: y = 3x - 1 represents the current following.

Answer:

y = 3x - 1

Step-by-step explanation:

Answer:

30 degrees

Step-by-step explanation:

The angle is a combination of the 14 degrees and 18 degrees from the opposite side

Answer:

y = s * 4

Step-by-step explanation:

You multiplied 4 to 3 to obtain 12:

x = 3 ; x = 3 * 4 ; x = 12

Therefore, if you multiply 4 to x, you must do the same to the other:

y = s

y = s * 4 is your answer.

~

Answer:

I think A is the answer

Step-by-step explanation:

Comment down if I am wrong but if I am right give me stars or a thank you or a thank you comment.

Answer:

I believe it is c 216-6n sorry hope you know what I am talking about

Step-by-step explanation:

m

Answer:

Answer is A

Step-by-step explanation:

» Consider two points plotted on the line;

» General equation of a line has an expression in format of;

[tex]{ \rm{y = mx + c}}[/tex]

» Finding the slope [m] :

[tex]{ \rm{slope = \frac{y_{2} - y _{1}}{x _{2} - x _{1} } }} \\ [/tex]

• But remember from the points or coordinates we fetched out of the graph;

Therefore, lets feed in the formular:

[tex]{ \tt{m = \frac{ {}^{ - } 2 - 0}{0 - 3} = \frac{ - 2}{ - 3} }} \\ \\ { \boxed{ \tt{m = \frac{2}{3} }}}[/tex]

» Finding y-intercept [c] :

☑ REMEMBER: y = mx + c

• Consider point (0, -2)

[tex]{ \tt{y = mx + c}} \\ { \tt{ - 2 = ( \frac{2}{3} \times 0) + c}} \\ \\ { \boxed{ \tt{ \: c = - 2 \: }}}[/tex]

» Arrange the equation:

Equation is y = ⅔x - 2

The equation of the linear function in the given graph, in slope-intercept form, is: A. y = 2/3x - 2

The equation of a linear function can be defined by the equation, in slope-intercept form, as y = mx = b.

Slope (m) = rise/run = 2 units/3 units = 2/3

Y-intercept (b) = -2

Substitute b = -2 and m = 2/3 into y = mx + b.

y = 2/3x + (-2)

y = 2/3x - 2 (Option A)

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Answer:

1 ft =30.48 c.m

5 ft= 5 *30.48cm

=152.4 c.m

to reach 5 feet she need to grow

=152.4 c.m-148c.m

4.4 c.m

Answer:

0.8

Step-by-step explanation:

Answer:

You need to actually input the question

Step-by-step explanation:

yeah

Answer:

Step-by-step explanation:

Given:

1cm = 85 km (on the map)

so map is

14 x 14 long or 85 x 85

Part A:

since the map is 14cm long, and the river is also 14 cm long, and each centimeter is equal to 85km, that means, =

14 x 85 = 1190km

so the river is 1190km long

Part B:

we can use just convert 765 into map cm to get answer,

sooo

765/85 = 9cm

SO THERE YOU HAVE IT:D

Answer:

B

Step-by-step explanation:

A, C, D, they both have numbers that are the same so that is one of the reason why it  B

Answer:

5/12 taller

Step-by-step explanation:

1/6 can also be represented as 2/12

Sisters: 2/12

Kayla's: 7/12

7/12 - 2/12 = 5/12

Answer:

5/12 inches taller!

Step-by-step explanation:

Kayla: 7/12 foot tall, and Sister: 2/12 or 1/6 of a foot tall.

No, not the people but the sandcastles. Take 2/12 from 7/12 and you get 5/12.

Answer:

undefined

Step-by-step explanation:

x=-6 is a vertical line at x=-6.

Any vertical line has an undefined slope.

Let's pick two points on x=-6– (-6,1) and (-6,0)

(1-0)/(-6-(-6))=1/-6+6=1/0

Because you cannot divide by 0, a vetical line has an undefined slope.

Answer: -7, -8, -9, and so on

Step-by-step explanation:

Answer:

the coefficient of x is 2

Step-by-step explanation:

(3x - y + z) + (2x - y - z) - (3x - y - z) = 3x - y + z + 2x - y - z - (3x - y - z)

Apply the distributive law:  - (a - b)  = -a + b

Therefore, - (3x - y - z) = -3x + y + z

So (3x - y + z) + (2x - y - z) - (3x - y - z) = 3x - y + z + 2x - y - z - 3x + y + z

Collect like terms:                                 = 3x + 2x - 3x - y - y + y + z - z + z

Combine like terms:                              = 2x - y + z

Therefore, the coefficient of x is 2

Therefore, the coefficient of x is 2

Answer:

-2

Step-by-step explanation:

if lines are parallel then they always have the same slope!

Answer:

Step-by-step explanation:

The coordinates of the given vertices are ...

Reflection across the y-axis changes the sign of the x-coordinate:

  (x, y) ⇒ (-x, y) . . . . . . reflection across the y-axis

This means the reflected figure has coordinates ...

  D(1, 1) ⇒ D'(-1, 1)

  E(4, 8) ⇒ E'(-4, 8)

  F(8, 8) ⇒ F'(-8, 8)

Answer:

  no

Step-by-step explanation:

The triangle inequality requires the sum of the shorter two sides exceed the length of the longest one. Here, we have ...

  10 +12 = 22 . . . . does not exceed 22

The lengths will not form a triangle.

_____

Additional comment

Some authors write the triangle inequality as ...

  a +b ≥ c

If this is the one your curriculum author uses, then these side lengths will form a triangle.

Answer:150, 4

Step-by-step explanation:

904/6=150 and 4/6.