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2 years ago

(02.04 LC)

Mathematics

1 answer:

Georgia [21]2 years ago

7 0

Answer:

x = - 1

Step-by-step explanation:

the equation of a vertical line is

x = c

where c is the value of the x- coordinates the line passes through

the line passes through the x- intercept of - 1 , then

x = - 1 ← equation of vertical line

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Which answer is correct?

LenKa [72]

First find the slope of the reference line:

2x+4y=-6 subtract 2x from both sides

4y=-2x-6 divide both sides by 4

y=-2x/4-6/4

So the slope of the reference line is -2/4=-1/2

For two lines to be perpendicular, the product of their slopes is negative one. Or you could say that the slopes are negative reciprocals of one another, mathematically perpendicular lines slopes will satisfy:

m1*m2=-1, in this case we have:

-1m/2=-1

-1m=-2

m=2

So the perpendicular line in this case has a slope of 2. The slope intercept form of a line is:

y=mx+b and we found than m=2 so:

y=2x+b, and using the point (2,5) we can solve for b

5=2(2)+b

5=4+b

1=b so the perpendicular line passing through the point (2,5) is:

y=2x+1

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3 years ago

f(x)=(x+3)(x-4) and g(x)=1/3(x+3)(x-4). the graphs of each are shown here. Which graph represents which polynomial function? exp

zvonat [6]

This is about interpretation of quadratic equation graphs.

- The parabola that is continuous represents f(x) = (x+3)(x-4)

- The parabola that is a broken line represents g(x) = 1/3(x+3)(x-4)

- This is because calculating their y-intercept respectively corresponds with what is on the graph.

We are given;

a) f(x) = (x+3)(x-4)

Let us confirm the x-intercept.

x-intercept here is when y = 0.

Thus, at y = 0; x + 3 = 0 and x - 4 = 0

Thus, at y = 0; x = -3 and y = 4

Let's now find the y-intercept;

y-intercept occurs when x = 0

Thus; y - intercept = (0 + 3)(0 - 4)

y - intercept = -12

Looking at the graph given, the only one that has it's y-intercept as -12 is the graph that has a continuous line.

This means the other graph that has dashed line would represent the other polynomial g(x)=1/3(x + 3)(x - 4)

Read more at; brainly.in/question/18896888

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3 years ago

Solve the System x/3 + 4y/3=100 & 3x-4y=100

fenix001 [56]

Can you write it out and send a picture?

8 0

4 years ago

Answer each question with work and reasoning

slavikrds [6]

Answer:

Step-by-step explanation:

2 + 3 = 6

6 x 10 = 30

30 snowmen

3 0

3 years ago

There are 12 inches in 1 foot. Jada is working on improving her vertical jump. She records,

guajiro [1.7K]

Answer:

There are 72 inches in 6 feet.

Step-by-step explanation:

Given:

There are 12 inches in 1 foot.

Jada is working on improving her vertical jump.

Currently, her standing reach is 6 feet from the ground.

Now, to find the inches in 6 feet.

Let the inches in 6 feet be $x.$

As given:

In 1 foot there are 12 inches.

So, 1 foot is equivalent to 12 inches.

Thus, 6 feet is equivalent to $x$

Now, to find using cross multiplication method:

$\frac{1}{12} =\frac{6}{x}$

By cross multiplying we get:

$x=72$

So, the inches in 6 feet = 72.

Therefore, there are 72 inches in 6 feet.

3 0

4 years ago