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
ohaa [14]
3 years ago
10

Find c such that (−3,−8), (−7,−6), and (c,4) lie on a line.

Mathematics
1 answer:
bearhunter [10]3 years ago
7 0
If the 3 points are collinear, then the slopes of all line segments connecting the points are the same.

Thus,

-6 - (-8) 2
m = ------------- = -------- = -1/2
-7 - (-3) -4

Then the following must be true:

4-(-6) 10
-1/2 = ------------ = ---------
c - (-7) c + 7

Cross multiplying, -(c+7) = 20, and c+7 = -20, so that c = -27
You might be interested in
PLS HELP ASAP! solve the equation pls I need some help here. <br>18=-2+w
LekaFEV [45]

-2+w=18\ \ \ |+2\\\\2-2+w=18+2\\\\\boxed{w=20}

5 0
3 years ago
An account grows at an annual interest rate of r⁡​ ⁣, so it grows by a factor of x=1+r⁡​ ⁣⁣ ​⁡ each year. The function A(x)=800x
Paladinen [302]

Given:

Annual interest rate = r⁡​%

Growth factor : x = 1 + r⁡​

The below function gives the amount in the account after 4 years when the growth factor is x⁡​ ⁣⁣.

A(x)=800x^4+350x^3+500x^2+600x

To find:

The total amount in the account if the interest rate for the account is 3% each year and initial amount.

Solution:

Rate of interest = 3% = 0.03

Growth factor : x = 1 + ⁡0.03 = 1.03

We have,

A(x)=800x^4+350x^3+500x^2+600x

Substitute x=1.03 in the given function, to find the total amount in the account if the interest rate for the account is 3% each year.

A(1.03)=800(1.03)^4+350(1.03)^3+500(1.03)^2+600(1.03)

A(1.03)=800(1.12550881)+350(1.092727)+500(1.0609&#10;)+618

A(1.03)=900.407048+382.45445+530.45+618

A(1.03)=2431.311498&#10;

A(1.03)\approx 2431.31&#10;

Therefore, the total amount in the account is 2431.31 if the interest rate for the account is 3% each year.

For initial amount the rate of interest is 0.

Growth factor : x = 1 + ⁡0 = 1

Substitute x=0 in the given function to find the initial amount.

A(1)=800(1)^4+350(1)^3+500(1)^2+600(1)

A(1)=800+350+500+600

A(1)=2250

Therefore, 2250 was put into the account at the beginning.

3 0
3 years ago
Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = x2 + 3 (5 points)
kari74 [83]

Answer:

x=-1 1/2,x=-1.5

Step-by-step explanation: x=-3/2

6 0
3 years ago
Please help! what is y+7=-1/7(x+4) in slope intercept form?
Stells [14]
We know that
the equation of a line in <span>slope intercept form is--------------> y=mx+b
where
m-----------> is the slope
b-----------> is the y-intercept  point when x=0

</span><span>y+7=-1/7(x+4)---------> y+7=(-1/7)x-4/7
</span>y+7=(-1/7)x-4/7------> y=(-1/7)x-4/7-7------> y=(-1/7)x-(53/7)

the answer is
y=(-1/7)x-(53/7)-------------> this is the equation of a line in slope intercept form
m=(-1/7)=-0.14
b=(-53/7)=-7.57
y=-0.14x-7.57

see the attached figure

6 0
3 years ago
Find the measure of Angle 2. measure of angle 1 = x measure of angle 2 = x-6
eduard
<span>m∠3 = 180 -(x + x - 6 ) 
= 180 - 2x + 6 
= 186 - 2x</span>
7 0
3 years ago
Read 2 more answers
Other questions:
  • The first five multiples for the numbers 4 and 6 are shown below. Multiples of 4: 4, 8, 12, 16, 20, . . . Multiples of 6: 6, 12,
    5·2 answers
  • Plz help me fast plz plz plz thank you 16 points plz plz
    15·1 answer
  • Please help..thank you
    15·2 answers
  • determine the quadratic equations whose graph is given the vertex is (1,1) and the y intercept is (0,-7).
    7·1 answer
  • DeSPERATE!!! 6+5(s-3t)= ??
    9·2 answers
  • What is 25 divided by .5
    9·2 answers
  • Guys please do awser this for me :(
    9·1 answer
  • If 2^2x=2^3, what is the value of x?<br><br> 2/3<br> 3/2<br> 2<br> 3<br><br> edit: answer is 3/2
    9·1 answer
  • What is a possible step when solving for x? select all that apply
    6·1 answer
  • Is every relation also a function? Explain
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!