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
Vaselesa [24]
3 years ago
12

The line through (4,-1) and (k,5) is parallel to the line y=-3x+5. FInd the value of k.

Mathematics
1 answer:
Tema [17]3 years ago
3 0

Answer:

k = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 5 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus the 2 points have a slope of - 3

calculate the slope using the slope formula and equate to - 3

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (k, 5)

m = \frac{5+1}{k-4} = \frac{6}{k-4} = - 3 ( multiply both sides by (k - 4) )

- 3(k - 4) = 6 ( divide both sides by - 3 )

k - 4 = - 2 ( add 4 to both sides )

k = 2

You might be interested in
Can someone help me simplify this answer I keep getting it wrong?
ZanzabumX [31]

The answer is -8

I found my answer by using desmos. It is the best app for graphing. I wrote the equation and then I looked for the point 18 on the y axis and then I looked where it was on the x axis

that is how I found my answer.

8 0
3 years ago
A college has an acceptance rate of 17%. If 3,240 students apply, about
zloy xaker [14]

Answer:

550

Step-by-step explanation:

so we know that 17% of everyone who applies (3,240) will be accepted.

0.17*3,240= 550.8

550 students will be accepted

we have to round down as only 17% can be accepted and u cant have 0.8th of a person

hope this helps

6 0
3 years ago
Evaluate the expression m÷n for m=2 and n=14.
Sever21 [200]

Answer:

1/7

Step-by-step explanation:

Plug in 2 for m, and 14 for n in the expression:

m/n = 2/14

Simplify. Factor out common factors from both the numerator and denominator:

(2/14)/(2/2) = 1/7

1/7 is your answer.

~

3 0
3 years ago
Read 2 more answers
Consider the function f(x) = 3x and the function g, which is shown below.
VLD [36.1K]

Answer:

<em>B. The graph of g is the graph of f shifted 2 units down</em>

Step-by-step explanation:

<u>Graph of Functions</u>

We have two functions:

f(x)=3^x

g(x)=3^x-2

Since g(x)=f(x)-2 it will be represented as an identical graph as that for f(x), but vertically displaced 2 units down. Let's check it by plugging some points

f(0)=3^0=1

g(0)=3^0-2=-1

f(1)=3^1=3

g(1)=3^1-2=1

f(3)=3^3=27

g(3)=3^3-2=25

We can notice the values of g(x) are always 2 units below f(x), thus the correct answer is

B. The graph of g is the graph of f shifted 2 units down

7 0
3 years ago
The diameter of a circle is 23 inches and the circle has two chords of length 14 inches what is the distance from each chord to
Svetradugi [14.3K]

Answer:

9.12 + 9.12 = 18.24 inches

Step-by-step explanation:

Diameter = 23 inches (given)

Radius = 11.5 inches

2 Chords of length = 14 inches ( You didn't specify if the 14 inches is for both chords or for a single cord. I'll assume it's for two cords 14 and 14inches apart.

To clearly solve this, we'll make some mild assumptions.

Let the perpendicular distance of the chords from the center of the circle to represented as " x and y"

Therefore:

x^2 + 7^2 = 11.5 ^ 2

x^2 + 49 = 132.25

x^2 = 132.25 - 49

x^2 = 83.25

x = √ 83.25

x = 9.12 inches

Since the cords have thesame length (Assumed from the way the question was structured, the distance would still be thesame)

y^2 + 7^2 = 11.5 ^ 2

y^2 + 49 = 132.25

y^2 = 132.25 - 49

y^2 = 83.25

y = √ 83.25

y = 9.12 inches

Therefore, the distance will be :

9.12 + 9.12 = 18.24 inches

Have fun!

6 0
3 years ago
Other questions:
  • If the x is the number, how would you represent 9 more than the number
    8·1 answer
  • Solve the proportion for n.<br> 1260/20=n/1
    15·1 answer
  • John has three pieces of rope. One piece was 31 cm long, one piece was 0.33 m long, and one piece was 0.45 m long. John wants to
    9·1 answer
  • Evaluate - x - 4 when x = - 7 and y=5
    13·1 answer
  • The drama club had a 'Yard Clean Up' day to earn money for their next production. At the end of the day, they had earned a total
    15·1 answer
  • Mrs. Hilt has 6 pizzas. Each pizza has 6 slices. She
    10·2 answers
  • Convert 51 in base 10 into base 5
    13·1 answer
  • Would anyone help really quick. ty.
    14·2 answers
  • What is the rule for this linear function?
    6·2 answers
  • Can someone please help me with this
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!