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
Can u help me on this... I will mark u as brilliant students.. plz ​
Colt1911 [192]

Answer:

For number 5 . a= 3 and b = -1

8 0
3 years ago
Find the x-intercepts of the parabola with vertex (5,-4) and y-intercept (0,96). Write your answer in this form: (x1,y1),(x2,y2)
lesya692 [45]

Answer:

The x-intercepts are

(x1,y1)=(4,0)

(x2,y2)=(6,0)

Step-by-step explanation:

we know that

The equation of the given parabola is

(y-k)=a(x-h)^{2}

we have

the vertex is the point (5,-4)

substitute

(y+4)=a(x-5)^{2}

The y-intercept is the point (0,96)

substitute and solve for a

(96+4)=a(0-5)^{2}

100=a(25)

a=100/25=4

The equation of the vertical parabola is equal to

(y+4)=4(x-5)^{2}

Find the x-intercepts

Remember that

The x-intercepts are the values of x when the value of y is equal to zero

For y=0

4=4(x-5)^{2}

Simplify

1=(x-5)^{2}

Rewrite

(x-5)^{2}=1

square root both sides

(x-5)=(+/-)1

x=(+/-)1+5

x=(+)1+5=6

x=(-)1+5=4

therefore

The x-intercepts are

(x1,y1)=(4,0)

(x2,y2)=(6,0)

4 0
3 years ago
10) A new car is available in a sedan model and
Dafna11 [192]

Answer:

Option (C) n = 256

Therefore, there are 256 ways to select a car with 2 car models, 8 different colors and any combinations of 4 optional features.

Step-by-step explanation:

A new car is available in a sedan model and a hatchback model.

So that means customers can select the model of the car in,

n₁ = 2 ways

It is available in eight  different colors.

After selecting the model, customers can select the color of the car in,

n₂ = 8 ways

Customers can choose to add any combination of four optional features.

After selecting the color, customers have the choice to add any combination of 4 optional features,

n₃ = 4² = 16 ways

Which means that there are 16 different ways to add 4 optional features e.g.

1. 0, 0, 0, 0

2. 0, 0, 0, 1

3. 0, 0, 1, 0

4. 0, 0, 1, 1

and the list goes on to 16 different ways.

Now the total ways to select a car is given by

n = n₁*n₂*n₃

n = 2*8*16

n = 256

Therefore, there are 256 ways to select a car with 2 car models, 8 different colors and any combinations of 4 optional features.

6 0
3 years ago
Help help help help
stich3 [128]

Answer:

i think the first graph is the correct

5 0
2 years ago
Can someone please help me with this geometry question
goldenfox [79]

Answer:

A. q = 39

Step-by-step explanation:

Since the lines are parallel, their sides will be proportional,

So,

Taking their proportion

=> \frac{60}{40} = \frac{q}{26}

Cross Multiplying

q × 40 = 26 × 60

q = \frac{1560}{40}

q = 39

7 0
3 years ago
Other questions:
  • Write a fraction less than 1 with a demoninator of 6 that is greater than 3/4?
    14·1 answer
  • If h(x) = 8x2, then h (12) side note the x2 the 2 is supposed to mean to the second power please help fast
    9·1 answer
  • swimming downstream you can swim 2 miles in 40 minutes, and upstream you can swim 2 miles in 60 minutes...how long will it take
    9·1 answer
  • Help and explain if you can please ​
    11·1 answer
  • Explain why the graph shown may be misleading.
    6·1 answer
  • 3 times a number s plus 4 times a number y is 1 more than 6 times the number is s
    6·1 answer
  • Find the following probabilities for the standard normal random variable z: a. P(−1.36 ≤ z ≤ 1.38)= ________ b. P(−2.27 ≤ z ≤ 1.
    9·2 answers
  • A rectangle measures 12cm by 4cm.<br> What is its area?
    14·1 answer
  • Use the coordinate rule (x, y) - (x-3, y+2) to translate PQR.
    15·2 answers
  • How do answer this please help help me
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!