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
sertanlavr [38]
3 years ago
12

22. Determine the value of c so that the line

Mathematics
1 answer:
tiny-mole [99]3 years ago
8 0

Answer:

If the lines BC and DE are parallel, the value of c is c=-2

Step-by-step explanation:

We are given line segment BC with end points B(2, 2) and C(9,6) and line segment DE with endpoints  D(c, -7) and E(5, -3).

Using slope formula: Slope=\frac{y_2-y_1}{x_2-x_1} we can find point c

When 2 lines are parallel there slope is same.

So, Slope of line BC =Slope of Line DE

\frac{y_2-y_1}{x_2-x_1}=\frac{y_2-y_1}{x_2-x_1}

We have:

x_1=2, y_1=2, x_2=9, y_2=6 \ for \ line \ BC \ and \\\x_1=c, y_1=-7, x_2=5, y_2=-3 \ for \ line \ DE \

Putting values and finding c

\frac{6-2}{9-2}=\frac{-3-(-7)}{5-c}\\ \frac{4}{7}=\frac{-3+7}{5-c} \\ \frac{4}{7}=\frac{4}{5-c} \\Cross \ multiply:\\4(5-c)=4*7\\20-4c=28\\-4c=28-20\\-4c=8\\c=\frac{8}{-4}\\c=-2

So, If the lines BC and DE are parallel, the value of c is c=-2

You might be interested in
*EXPLAIN YOUR ANSWER*
levacccp [35]
80 is the fixed amount because it is a cost before you get their services. So basically the Y intercept. It is if you pay for an 80$ membership fee and then you are charged per month.
5 0
3 years ago
A diver dives from the board at a local swimming pool. Her height, y, in metres, above the water in terms of her horizontal dist
Aneli [31]

Answer:

4 meters

Step-by-step explanation:

Given a quadratic equation in which the coefficient of x^2 is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.

Since the divers height, y is modeled by the equation

y= -x^2 + 2x + 3

Step 1: Determine the equation of symmetry

In the equation above, a=-1, b=2, c=3

Equation of symmetry, x=-\dfrac{b}{2a}

x=-\dfrac{2}{2*-1}\\x=1

Step 2: Find the value of y at the point of symmetry

That is, we substitute x obtained above into the y and solve.

y(1)= -1^2 + 2(1) + 3=-1+2+3=4m

The maximum height of the diver is therefore 4 meters.

8 0
3 years ago
Whats 100 times 1,002 times 54
pychu [463]
5410800 is your answer. 
7 0
3 years ago
Scientists notice two asteroids moving directly toward each other. Right now, they are 20 million kilometers apart, but they are
ruslelena [56]

Answer:

The point of intersection is (6, 8). This indicates that in 6 days, asteroid A and B will collide at a point that is 8 million miles away from asteroid A's current position and 12 million miles away from asteroid B's current position.

3 0
3 years ago
Read 2 more answers
Sophia pays $19.99 membership fee for an online music store. If sophia purchases n songs for $0.99 each write the expression for
Alona [7]

Answer:

The expression for the total cost is x = 19.99 + 0.99n .

Step-by-step explanation:

Let us assume that the total cost be x.

As given

Sophia pays $19.99 membership fee for an online music store.

If sophia purchases n songs for $0.99 each .

Than the expression becomes

Total cost = Membership fee + Cost of n songs

x = 19.99 + 0.99n

Here n represented the number of songs.

4 0
3 years ago
Other questions:
  • Mary earns $7.25 an hour. She can determine her salary, s, for the
    13·1 answer
  • Y=x^3-4x^2+7 describe the end behavior of the polynomial
    15·1 answer
  • What is the answer to:<br> factorise fully: c3+c2
    7·1 answer
  • PLEASE HELP!!!!!!!
    15·1 answer
  • Evaluate each expression if m = 2, n = 16, and g = 1/5.
    15·1 answer
  • Choice leads for developing new business opportunities are randomly assigned to 50 employees who make up the sales team. Half of
    9·1 answer
  • -9 blank =-14 what would fill in this blank
    6·2 answers
  • Find the GCF of each pair of terms.
    12·2 answers
  • Ten frogs can catch 10 flies in 10 minutes. How long would it take one frog to catch one fly?
    8·1 answer
  • I need help with this question please!
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!