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3 years ago

2. What would a point on the horizontal axis represent? What about on the vertical axis?

1 answer:

7 0

In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

A coordinate grid has two perpendicular lines, or axes, labeled like number lines. The horizontal axis is called the x-axis. The vertical axis is called the y-axis. The point where the x-axis and y-axis intersect is called the origin. The numbers on a coordinate grid are used to locate points.

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Write the equation of the line that has a slope of 2 and passing through (3,-4) point

wel

Answer:

$y=2x-10$

Step-by-step explanation:

We know that the line has a slope of 2 and it passes through the point (3, -4).

So, we can use the point-slope form:

$y-y_1=m(x-x_1)$

Where m is the slope and (x₁, y₁) is a point.

So, let’s substitute 2 for m and (3, -4) for (x₁, y₁). This yields:

$y-(-4)=2(x-3)$

Solve for y. Distribute the right:

$y+4=2x-6$

Subtract 4 from both sides. Therefore, our equation is:

$y=2x-10$

4 0

3 years ago

The length of a shadow of a building is 26 m. The distance from the top of the building to the tip of the shadow is 36 m, Find t

Korvikt [17]

Applying the Pythagorean theorem, the height of the building is: 24.9 m.

<h3>How to Apply the Pythagorean Theorem?</h3>

Where c is the length of the hypothenuse of a right triangle, and a and b are the legs of the right triangle, the Pythagorean theorem states that:

c = √(a² + b²).

The diagram of the building and its shadow form a right triangle as shown in the image below, where:

a = height of the building

b = 26

c = 36

Applying the Pythagorean theorem, we will have:

a = √(36² - 26²)

a = 24.9 m

Learn more about the Pythagorean theorem on:

brainly.com/question/343682

#SPJ1

7 0

2 years ago

Sonali's father age is 5 year 3 times more then Sonali. find out Sonali age if her father age is 44.

enyata [817]

<h2><u>Given</u></h2>

Age of sonali father is year 3 times more then Sonali.

Age of sonali father is 44.

Age of sonali

<h2><u>Solution</u></h2>

Let assume the age of sonali be x

➡ Age of sonali = 3x + 5

➡ Age of sonali father = 44

<h3><u>According to the </u><u>question</u></h3>

<u> $\boxed{\sf \: \large\bf{\red{ \implies}} \: \Large\rm{\purple{ 3x + 5 = 44}}}$ </u>

Now , Solving this linear equation.

$\begin{cases}\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x + 5 = 44}} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x \: = \: 44 \: - \: 5}} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x \: = \:39 }} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: \frac{39}{3} }} \\ \\ \large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: \frac{ \cancel{39}\rm \tiny{\red{ \: \: \small^{13} }}}{ \cancel{3}} }} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: 13 }}\end{cases}$