All categories

2 years ago

Write an equation for a line perpendicular to y = − 4 x + 5 and passing through the point (-12,-4)

Mathematics

1 answer:

cupoosta [38]2 years ago

3 0

Answer:

$y=\frac{1}{4} x-1.$

Step-by-step explanation:

1) if the lines are perpendicular, then the second slop is 0.25;

2) the equation of the 2d line is y=0.25x+i, where i - unknown intercept;

3) it is possible to calculate the unknown intercept, if to substitute the given coordinates into the equation y=0.25x+i:

-4=-12*0.25+i; ⇔ i=-1.

4) finally, the required equation is:

$y=\frac{1}{4} x-1.$

You might be interested in

Give the equation of the circle centered at the origin and passing through the point (0,-8)

Norma-Jean [14]

Answer:

The answer to your question is x ² + y² = 64

Step-by-step explanation:

Process

1.- Find the length of the radius

C (0, 0)

P (0, -8)

d = $\sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2} }$

d = $\sqrt{(0- 0)^{2}+ (-8 - 0)^{2} }$

d = $\sqrt{64}$

d = 8

2.- Find the equation of the circle

$(x - h)^{2} + (y - k)^{2} = r^{2} \\$

h = 0 and k = 0

$(x - 0)^{2} + (y - 0)^{2} = 8^{2}$

x² + y² = 64

5 0

3 years ago

Following the lead of the National Wildlife Federation, the Department of the Interior of a South American country began to reco

chubhunter [2.5K]

Answer:

After 2009 the quality of the forests in this country improving.

Step-by-step explanation:

Consider the provided function.

$f(t) = \frac{1}{3}t^3-\frac{5}{2}t^2 + 80$

$f'(t) = t^2-5t$

Substitute f'(t)=0.

$t^2-5t=0$

$t(t-5)=0$

$t=0\ or\ t=5$

It is given that (0 ≤ t ≤ 10)

The test interval are (0,5) and (5,10)

For (0 < t < 5) the value of $f'(t)$

For (5 < t < 10) the value of $f'(t) >0$

Hence, the function is increasing from (5,10).

t = 0 corresponds to 2004.

Therefore, after 2009 the quality of the forests in this country improving.

7 0

3 years ago

1.5 Determine the degree of the following algebraic expressions:

tatuchka [14]

By identifying the largest exponent in each expression, we see that the answers are:

a) D = 3.

b) D = 5.

c) D = 0.

<h3></h3><h3>How to determine the degree of an expression?</h3>

The degree is just the largest exponent of the variable in an expression.

First, we have:

a) √3xyz - 5

The largest exponent is on the term √3*xyz is 3 (because we add the 3 exponents 1 of x, y, and z) so this expression has a degree of 3.

b) y² - 3y⁵ -y + 2y³ - 4

Here the largest exponent is on the second term, so we can see that the degree is 5.

c) -10³

Here we don't have a variable, so this is a constant, which means that the degree is zero, because we could write:

-10³*x⁰

Where we use the fact that x⁰ = 1

If you want to learn more about degrees:

brainly.com/question/1600696

#SPJ1

6 0

2 years ago

4 Amanda and Blake played a board game. In the game, Amanda had

ddd [48]

The amount of money Blake have in the end is 3560 + (2740 - x)

In the game Amanda had $2740 in play money and Blake had $3560 in play money.

Amanda had to give some money she possessed.

Let

what remains after Amanda gave the money = x

Therefore, Blake will have the following money at the end .

The amount she gave to Blake = (2740 - x)

Blake money = 3560 + (2740 - x)

learn more here: brainly.com/question/16895110?referrer=searchResults

6 0

2 years ago

Help me please i shall give the correct answer brainliest

Olenka [21]

Answer:

9514 1404 393Answer: c = 6√2 d = 12Step-by-step explanation:The sides of any isosceles triangle (opposite the congruent angles) are congruent. Hence ...

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers