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
madreJ [45]
3 years ago
5

On a map of the city, 8th Street is a line segment from point (1,4) to point (6,9). J Street is a line segment that starts at (4

,–14) and stops at (–5,4). If the city council extends 8th Street in a straight line, where will it intersect J Street?
Mathematics
1 answer:
Dominik [7]3 years ago
8 0
The intersection of 8th street and J street can be determined by setting up an equation for each line segment given the points mentioned above. Note that the equation of a line can be obtained from two points such that:

y - y1 = m(x-x1), where m = (y2-y1)/(x2-x1)

For instance, the equation for 8th street is given by: y - 4 = [(9-4)/(6-1)]*(x-1). On the other hand, the equation for J street is given by: y + 14 = [(4+14)/(-5-4)]*(x-4). Simplifying the 2 equations we get: Eqn. (1) y = x + 3 and Eqn. (2) y = -2x - 6

Solving the 2 equations simultaneously, we obtain x = -3, y = 0. Thus, if the city council extends 8th street in a straight line, it will intersect J street at (-3,0).

You might be interested in
During a phone call, Beyunka was told of the most recent transactions in her company's business account. There were deposits of
Norma-Jean [14]

Answer:

The amount of change in the balance of the account is an increase of $3160.57.

Step-by-step explanation:

i) first deposit is given as $1250

ii) second deposit is given as $3040.57

iii) first withdrawal is given as $400

iv) second withdrawal is given as $400

v) third withdrawal is given as $400

vi) first penalty removed is $35

vii) second penalty removed is $35

viii) therefore the change to the balance is given by

$1250 + $3040.57 - $400 - $400 - $400 + $35 + $35 = $3160.57

viii) Therefore the amount of change in the balance of the account is an increase of $3160.57.

4 0
3 years ago
14) The number of students at LAMS is 1872 students. The ratio of girls to
bogdanovich [222]

Answer:

310

Step-by-step explanation:

total no.of students=1872

ratio of boys to girls=7:5

sum of ratio=total of students

12/12=1872

7/12=?

7/12*1872/1=1092which is the number of girls

1872-1092=780which is the number of boys

difference =1092-780= 310

7 0
3 years ago
Factor completely 5x2 − 5x − 100.
Rama09 [41]
First, factor out 5:
5 (x² -x -20)
We need two numbers that add to -1 and multiply to -20. -5 and 4 satisfy this.
5(x-5)(x+4)
4 0
3 years ago
Find the interval(s) over which the function is decreasing
son4ous [18]

Answer : (0,3) U  (3, ∞)

We need to find  the interval(s) over which the function is decreasing

We look at the intervals of x  where the graph is decreasing

Decreasing interval of the graph is the part where the graph goes down

We look at the part where the graph changes direction

In the middle  inverted U shaped graph , the graph changes direction and start decreasing at x=0

the graph is decreasing till x=3

so first decreasing interval is x=0  to 3. we write it as (0,3)

After x=3 the graph starts decreasing and it goes to infinity

So the second decreasing interval is 3  to infinity . We write it as (3, ∞)

Now combine both intervals by a 'U' union

(0,3) U  (3, ∞)

7 0
3 years ago
ASAP
Phoenix [80]
81 is a counter example of the conditional statement given.

81 has factors other than itself, 1 and the square root of 81 which is 9.

81 has factors of 3 and 27 which are not listed.
8 0
3 years ago
Other questions:
  • List the potential rational zeros of the polynomial function. Do not find the zeros.f(x) = x5 - 3x2 + 3x + 14
    5·1 answer
  • What’s the greatest? <br> 2.5 , 2.05 , 2.050<br> , 2.55
    15·2 answers
  • Prove theorems about triangles
    13·1 answer
  • The expression 3A + 2.5S gives the cost in dollars of A adult tickets and S student tickets. What is the cost of 2 adult tickets
    7·1 answer
  • The answer and how did they get the answer lease help?
    5·1 answer
  • Identify the focus, directrix, and axis of symmetry of 11x=y^2
    14·1 answer
  • Tuesday, January 5th
    10·1 answer
  • 4x^2+5y^2=41<br> 3x^2-4y^2=23
    14·1 answer
  • Please help I need this​
    6·1 answer
  • Us
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!