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Leya [2.2K]
1 year ago
14

Which of the following is the equation of the line that is perpendicular to y = -4x - 5 and goes through the point -2,3

Mathematics
1 answer:
nexus9112 [7]1 year ago
6 0

Answer:

the \: answr \: is \: c. \: y =  \frac{1}{4}x  \times  \frac{7}{2}

Step-by-step explanation:

Find the slope of the line that is perpendicular to y = -4x -5

m =  \frac{1}{4}

substitute \: and \: calculate

m =  \frac{1}{4}  \\ x =  - 2 \: into \\  y = mx + b \\ y = 3

b =  \frac{7}{2}

substitute \: m =  \frac{1}{2}  \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: x =  - 2 \\ into \: y \:  = mx + b

y =  \frac{x}{4}  +  \frac{7}{2}

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Why are (4, 6) and (6, 4) not at the same point on a grid?
sdas [7]

Answer and Step-by-step explanation:

Notice that both these points are in the form of (x, y). "x" indicates that on the left-right axis (x axis), the point is x units away from the origin (0, 0). "y" indicates that on the up-down axis (y axis), the point is y units away from the origin.

In (4, 6), x = 4 and y = 6. This means that the point (4, 6) is 4 units to the right of the origin and 6 units up (see red dot on attachment).

In (6, 4), x = 6 and y = 4. This means that the point (6, 4) is 6 units to the right of the origin and 4 units up (see blue dot on attachment).

As can be seen, these two points do NOT coincide, so they are different.

6 0
3 years ago
Read 2 more answers
An online retailer collects 7% sales tax. If the sub total of the purchase is $76.00, then how much is collected for sales tax?​
jok3333 [9.3K]

The collected tax on purchase of $76.00 is $5.32

Further explanation:

The sales tax is calculated on the total sales by the formula

Tax = total * \frac{7}{100}

Given

Total purchase = $76.00

Percentage of tax = 7%

So,

Putting the values in the formula

Tax\ amount = 76.00 * \frac{7}{100}\\= 5.32

So, the collected tax on purchase of $76.00 is $5.32

Keywords: Tax, tax calculation

Learn more about tax calculation at:

  • brainly.com/question/2678748
  • brainly.com/question/2686310

#LearnwithBrainly

3 0
3 years ago
In January, Bangkok is hotter than Cape Town while Cape Town is hotter than Moscow. Which inequality correctly compares the temp
igor_vitrenko [27]

Answer: The correct option is D.

Explanation:

It is given that in January, Bangkok is hotter than Cape Town it means the temperature of Bangkok is greater than the temperature of Cape Town. It can be written in the inequality form as shown below,

Bangkok's temperature > Cape Town's temperature

It is the conclusion (1).

It is also given that the Cape Town is hotter than Moscow it means the temperature of Cape Town is greater than Moscow. It can be written in the inequality form as shown below,

Cape Town's temperature > Moscow's temperature

It is the conclusion (2).

When we combine conclusion (1) and (2). We get

Bangkok's temperature > Cape Town's temperature > Moscow's temperature

This statement is shown in option D, therefore the correct option is D.

5 0
3 years ago
The CHS Baseball team was on the field and the batter popped the ball up. The equation b(x)=80t-16t^2+3.5 represents the height
Aleksandr [31]

Answer:

<em>t = 5 seconds</em>

Step-by-step explanation:

We must solve the equation of movement of the ball as a function of time in seconds.

We must find how many seconds it takes until the ball touches the ground. When the ball touches the ground, the height b (t) = 0

Then we equate the equation to zero and solve for t.

80t-16t ^ 2 + 3.5 = 0

Use the quadratic formula.

Where

a = -16\\\\b = 80\\\\c = 3.5

t = \frac{-b \±\sqrt{b^2-4ac}}{2a}\\\\\\t_1 = \frac{-(80)-\sqrt{(80)^2-4(-16)(3.5)}}{2(-16)}\\\\t_1= 5.04\ s\\-------------------------\\t_2 =\frac{-(80)+\sqrt{(80)^2-4(-16)(3.5)}}{2(-16)}\\\\t_2=-0.0434\ s

We take the positive solution

<em>t = 5 seconds</em>

7 0
3 years ago
The building site is 90 metres long and 45 metre wide.what is the area of the site
kolbaska11 [484]
Hey there, 

We know that area is the size of a surface

First of all, <span>To find the </span>area<span> of a rectangle, multiply the length by the width. In this question the length would be 90 meters and the width would be 45 meters. 

</span>90 x 45 = Area

90 x 45 = 4050

<span>Area = 4050m</span>² 


8 0
4 years ago
Read 2 more answers
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