All categories

2 years ago

Can u help me pls? Thanks

Mathematics

1 answer:

myrzilka [38]2 years ago

4 0

Answer:

D ; y = (4/3)x + 2

Step-by-step explanation:

The general form of the equation of a straight line is;

y = mx + b

where m is the slope and b is the y-intercept

Now, let us represent the given equation in this general form

We have this as;

4y= -3x + 12

divide through by 4

y = -3/4x + 3

Now, the slope of this equation is -3/4

Mathematically, when two lines are perpendicular, the product of their slopes is -1

let us have the slope of the second equation as m2

-3/4 * m2 = -1

-3m2 = 4 * -1

m2 = -4/-3

m2 = 4/3

so, the equation that is perpendicular will have its slope as 4/3

Looking through the options given as we have the equations in the general form, the equation D is the correct answer

D ; y = (4/3)x + 2

You might be interested in

Equivalent 5(6x+3y)

STALIN [3.7K]

The equivalent expression is 30x + 15y

Solution:

Given that we have to find the equivalent expression for given expression

Given expression is:

5(6x + 3y)

We can find the equivalent expression by using distributive property

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

By distributive property,

a(b + c) = ab + ac

Therefore, in given expression 5(6x + 3y), 5 can be multiplied with both 6x and 3y

$\rightarrow 5(6x + 3y) = 5 \times 6x + 5 \times 3y$

Multiply the numbers and simplify

$\rightarrow 5(6x + 3y) = 5 \times 6x + 5 \times 3y = 30x + 15y$

Thus the equivalent expression is 30x + 15y

3 0

3 years ago

How many solutions does the system have? y=-2x -4 y=3x + 3

baherus [9]

Answer:

x=−7/5and y=−6/5

Step-by-step explanation:

Step: Substitute−2x−4foryiny=3x+3:

y=3x+3

−2x−4=3x+3

−2x−4+−3x=3x+3+−3x(Add -3x to both sides)

−5x−4=3

−5x−4+4=3+4(Add 4 to both sides)

−5x=7

−5x

−5

(Divide both sides by -5)

x=−7/5

7 0

3 years ago

Picture attached, please simplify

Charra [1.4K]

The answer is the second option given

6 0

3 years ago

If the class was going to get a class pet and 5 picked fish and 7 pick bird and 8 picked Rabbits have many students were in the

Sedbober [7]

Sum up the total number of votes.
So, 5+7+8=20 students

3 0

3 years ago

the center of a circle is on the line y=2x and the line x=1 is tangent to the circle at (1,6).find the center and the radius

Julli [10]

The radius and the center of the circle are 4 units and (1,2), respectively

<h3>How to determine the center and the radius?</h3>

The center of the circle is on

y = 2x and x = 1

Substitute x = 1 in y = 2x

y = 2 * 1

Evaluate

y = 2

This means that the center is

Center = (1, 2)

Also, we have the point of tangency to be:

(x, y) = (1, 6)

This point and the center have the same x-coordinate.

So, the distance between this point and the center is

d = 6 - 2

d = 4

This represents the radius

Hence, the radius and the center of the circle are 4 units and (1,2), respectively