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3 years ago

Identify an equation in point-slope form for the line perpendicular to y = –4x – 1 that passes through (–2, 7).

Mathematics

2 answers:

Alexandra [31]3 years ago

7 0

he slope perpendicular to y=-4x-1 is the negative reciprocal, or \frac{1}{4} .

We want it to pass through the point (-2,7).

y-7= \frac{1}{4}[x-(-2)]

Hope this helps! :^)

Harlamova29_29 [7]3 years ago

6 0

To get a perpendicular line, your slopes will equal -1 when multiplied...this means if we multiply - 4 x (1/4), we get out slope to use for the next step.

Y - Y1 = M(X - X1) passes through (-2, 7)
Y - 7 = 1/4(X - (-2))
Y - 7 = 1/4(X + 2)
Y - 7 = 1/4X + 1/2
+7 + 7
Y = 1/4X + 7.5

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2 <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B5%7D%20%20%2B%20%20%5Cfrac%7B1%7D%7B6%7D%20" id="TexFormula1" title="

almond37 [142]

Answer:

17/30

Step-by-step explanation:

2/5+1/6=12/30+5/30=17/30

8 0

4 years ago

An oil tanker can be emptied by the main pump in 5 hours. An auxiliary pump can empty the tanker in 7 hours. If the main pump is

r-ruslan [8.4K]

Answer:

so the answer will be 1

Step-by-step explanation:

An oil tanker can be emptied by the main pump in 5 hours.

An auxilary pump can empty the tanker in 14 hours.

If the main pump is started at 7pm, when should the auxilary pump be started

so that the tanker is emptied by 11pm?

Let t = no. of hrs to run the Aux pump

The main pump will run 4 hr (7 - 11 pm)

Let the completed job = 1; (an empty Tanker)

The shared work equation

4%2F5 + t%2F14 = 1

Multiply equation by 70 to get rid of the equation, results:

14(4) + 5t = 70

56 + 5t = 70

5t = 70 - 56

5t = 14

t = 14%2F5

t = 2.8 hrs to run the aux pump

2.8 hr = 2 + .8(60) = 2 hrs 48 min

Subtract 2:48 from 11:00 = 8:12 PM start the aux pump

;

Check solution

4/5 + 2.8/14 =

.8 + .2 = 1

6 0

3 years ago

I’m stuck on this question

Setler [38]

Answer: Dividing the number by 1000

When you move the decimal, add a 0.
The decimal is moved 3 times, there are 3 zeros. When you move left, the number is getting smaller so it is division.

Hope this helps ʕ•ᴥ•ʔ

5 0

3 years ago

Read 2 more answers

Mario says that the expression 4+3n² has four terms: 4, 3, n, and 2. Is he correct? explain.

stich3 [128]

Mario says that the expression $4+3n^2$ has four terms: 4, 3, n, and 2. Mario is incorrect

Solution:

Given that the expression is:

$4+3n^2$

Given that, Mario says that the above expression has four terms

But Mraio is incorrect

Because the given expression has two terms only

4 is one of the term

$3n^2$ is another term

So there are totally 2 terms only

A term can be a signed number, a variable, or a constant multiplied by a variable or variables

Here 3 is a constant multiplied by $n^2$

So, $3n^2$ is one term

Each term in an algebraic expression is separated by a + sign or - sign

Thus there are two terms in mario expression

8 0

3 years ago

If 3t-7=5t, then 6t =

Natalija [7]

The answer is: " -21 " .
__________________________________________
We are asked to solve for: "6t" ; which is: "6 * t" .
__________________________________________
Given: 3t − 7 = 5t ; Solve for "t" ; then solve for "6t" ;

     3t − 7 = 5t ;   Subtract "3t" from each side of the equation;
____________________________________________
    3t − 7 − 3t = 5t − 3t ;

to get: -7 = 2t ;

Divide EACH side of the equation by "2" ; to isolate "t" on one side of the equation; and to solve for "t" ;

-7/2 = 2t / 2 ;

-3.5 = t ; ↔ t = - 3.5 ;
____________________________________________
Now, solve for "6t" ;

6 t = 6*(-3.5) = - 21 .   The answer is: " -21 " .
____________________________________________

6 0

4 years ago