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3 years ago

HELP ME PLEASE 20 points for both questions 5-6 on 6th grade 13-1 Daily Review

Mathematics

2 answers:

expeople1 [14]3 years ago

7 0

Answer:

Sorry but its blurry

Step-by-step explanation:

mamaluj [8]3 years ago

3 0

We can't see the problems its blurry

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Write the equation of a line perpendicular to y=-12x+2 going through (0,-1)

DanielleElmas [232]

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

<em>Write the equation of a line perpendicular to y=-12x+2 going </em>

<em> through (0, -1)</em>

<em />

<em> </em> $\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

First, let's take a look at our provided information:-

A line $\text{y=-12x+2}$
A point (0, -1)
The line $\text{y=-12x+2}$ is perpendicular to the line that goes through (0, -1)

If two lines are perpendicular to each other, their slopes are opposite reciprocals of each other.

So we take the slope of the given line, which is -12, change its sign from minus to plus:-

$\Large\textit{12}$

And now, We flip the number over:-

$\Large\text{$\displaystyle\frac{1}{12}$}$

Now that we've found the slope of the line, let's find its equation.

The first step is to write it in point-slope form as follows:-

$\longmapsto\sf{y-y_1=m(x-x_1)}$

Replace letters with numbers,

$\longmapsto\sf{y-(-1)=\displaystyle\frac{1}{12}(x-0)}$

On simplification,

$\longmapsto\sf{y+1=\displaystyle\frac{1}{12} (x-0)}$

On further simplification,

$\longmapsto\sf{y+1=\displaystyle\frac{1}{12} x}$

Subtracting 1 on both sides,

$\longmapsto\sf{y=\displaystyle\frac{1}{12} x-1}$

$\Uparrow\texttt{Our equation in slope-intercept form}$

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

$\rule{300}{1}$

5 0

2 years ago

After two consecutive years of 5% rates of return, what rate of return in the third year will produce a cumulative gain of 16%?

murzikaleks [220]

Using decimal multipliers, it is found that a rate of return of 5.2% in the third year will produce a cumulative gain of 16%.

The <u>decimal multiplier</u> for a increase of a% is given by:

$M = \frac{100 + a}{100}$

In this problem, two increases of 5%, thus:

$M = \frac{100 + 5}{100} = 1.05$

Another of x, that we want to find, and the result is a increase of 16%, thus:

$M = \frac{100 + 16}{100} = 1.16$

The three increases(5%, 5% and x%) result in a increase of 16%, thus:

$1.05(1.05)(x) = 1.16$

$x = \frac{1.16}{(1.05)^2}$

$x = 1.052$

1.052 - 1 = 0.052

A rate of return of 5.2% in the third year will produce a cumulative gain of 16%.

A similar problem is given at brainly.com/question/21806362

5 0

3 years ago

Diane purchased a prepaid phone card for $15. Long distance calls cost 17 cents a minute using this card. Diane used her card on

tester [92]

Answer:

22 minutes

Step-by-step explanation:

15-11.26=3.74

3.74 divided by .17 eqauls 22

8 0

3 years ago

What is the range and domain?

Artist 52 [7]

Answer- D-apex hope i’m right i’m not sure

5 0

3 years ago

I don't know how to do this

Gre4nikov [31]

Answer:

x = -11/5 and y = 24/5

Step-by-step explanation:

Use elimination.

First, we need to multiply so that at least one variable can cancel out.

We can multiply the top equation by 2.

So we get

4x + 6y = 20

Then, we can use elimination.

The x's cancel out.

So we get 5y = 24

Or y = 24/5

Then, we can plug in this y value back into the first equation to find x.

2x + 3(24/5) = 10

2x + 72/5 = 50/5

2x = -22/5

x = -11/5

So x = -11/5 and y = 24/5

5 0

3 years ago