1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ivann1987 [24]
3 years ago
10

Complete the point slope equation of the line through (-5,7) and (-4,0)y-7=

Mathematics
2 answers:
mojhsa [17]3 years ago
7 0

\bf (\stackrel{x_1}{-5}~,~\stackrel{y_1}{7})\qquad
(\stackrel{x_2}{-4}~,~\stackrel{y_2}{0})
\\\\\\
slope = m\implies
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-7}{-4-(-5)}\implies \cfrac{0-7}{-4+5}\implies \cfrac{-7}{1}\implies -7
\\\\\\
\begin{array}{|c|ll}
\cline{1-1}
\textit{point-slope form}\\
\cline{1-1}
\\
y-y_1=m(x-x_1)
\\\\
\cline{1-1}
\end{array}\implies y-7=-7[x-(-5)]\implies y-7=-7(x+5)

deff fn [24]3 years ago
3 0
Point slope form: y-7= -7(x+5)
You might be interested in
I need to find The value of x
KiRa [710]

A circle is 360°.

Add the known angle measures and subtract the total from 360°.

115+105+60 =280°

360 - 280 = 80°

X= 80°

8 0
3 years ago
If the area of a circular pool is 300 square yards, what is its radius?
elixir [45]

Answer:

<h2>radius = 9.77 yards</h2>

Step-by-step explanation:

Since the pool is circular

Area of a circle = πr²

where

r is the radius

From the question

Area = 300 square yards

To find the radius substitute the value of the area into the above formula and solve for the radius

That's

300 = πr²

Divide both sides by π

We have

{r}^{2}  =  \frac{300}{\pi}

Find the square root of both sides

That's

r =  \sqrt{ \frac{300}{\pi} }

r = 9.7720502

We have the final answer as

<h3>radius = 9.77 yards</h3>

Hope this helps you

4 0
3 years ago
Marco thinks the total number of runs a team scores in a season is a better indicator of how many wins it will have in that seas
FrozenT [24]
This is a fair assumption, but not true in every instance. Since home runs do not indicate how many runs score, which are the decider in a win or a loss, they are less accurate at predicting. 
5 0
3 years ago
Read 2 more answers
Solve the equation x2 + 7x = 30.​
Law Incorporation [45]

Answer:

2*7=14+6=30 points plz

5 0
3 years ago
the half-life of chromium-51 is 38 days. If the sample contained 510 grams. How much would remain after 1 year?​
madam [21]

Answer:

About 0.6548 grams will be remaining.  

Step-by-step explanation:

We can write an exponential function to model the situation. The standard exponential function is:

f(t)=a(r)^t

The original sample contained 510 grams. So, a = 510.

Each half-life, the amount decreases by half. So, r = 1/2.

For t, since one half-life occurs every 38 days, we can substitute t/38 for t, where t is the time in days.

Therefore, our function is:

\displaystyle f(t)=510\Big(\frac{1}{2}\Big)^{t/38}

One year has 365 days.

Therefore, the amount remaining after one year will be:

\displaystyle f(365)=510\Big(\frac{1}{2}\Big)^{365/38}\approx0.6548

About 0.6548 grams will be remaining.  

Alternatively, we can use the standard exponential growth/decay function modeled by:

f(t)=Ce^{kt}

The starting sample is 510. So, C = 510.

After one half-life (38 days), the remaining amount will be 255. Therefore:

255=510e^{38k}

Solving for k:

\displaystyle \frac{1}{2}=e^{38k}\Rightarrow k=\frac{1}{38}\ln\Big(\frac{1}{2}\Big)

Thus, our function is:

f(t)=510e^{t\ln(.5)/38}

Then after one year or 365 days, the amount remaining will be about:

f(365)=510e^{365\ln(.5)/38}\approx 0.6548

5 0
2 years ago
Other questions:
  • Please help! Need answered! Please and thank you.
    11·2 answers
  • Jamal was riding his bike home at a speed of 12 mph. On his trip out, he had traveled 8 miles away from his house. He has been t
    13·2 answers
  • Is -2 a solution for 7x+3=-17-3x ?​
    9·2 answers
  • Laylas age is 2 less than 3 times kaylas age kaylas age is 14 less than laylas age what is the sum of their ages?
    14·1 answer
  • I need help please.....
    13·2 answers
  • Sandy is ordering donuts for the cafeteria. She has a budget of $100. If each donut costs
    14·1 answer
  • A gold alloy contains 15 milligrams of gold for every 4 milligrams of copper. A jeweler uses 48 milligrams of copper to make the
    11·1 answer
  • A number divided by 48 has a quotient of 7 with a remanded of 12.What is the number?
    10·2 answers
  • Find the slope of each line of the graphs to the right. Which graph has the greater​ slope? Use pencil and paper. Explain how yo
    13·2 answers
  • 50 POINTS AND WILL MARK BRAINLIEST
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!