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
kari74 [83]
3 years ago
6

7. The points P(2, -3), Q(3, -2) and R(8, z) are

Mathematics
1 answer:
Hatshy [7]3 years ago
4 0

Answer:

z = 3

Step-by-step explanation:

Since the points are collinear then the slopes between the points are equal.

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = P (2, - 3) and (x₂, y₂ ) = Q (3, - 2)

m = \frac{-2+3}{3-2} = 1

Repeat with

(x₁, y₁ ) = Q (3, - 2) and (x₂, y₂ ) = R (8, z )

m = \frac{z+2}{8-3} = \frac{z+2}{5} , then

\frac{z+2}{5} = 1 ( multiply both sides by 5 )

z + 2 = 5 ( subtract 2 from both sides )

z = 3

You might be interested in
Tammi deposited $520 into a bank account that earned simple interest each year. After 5 years, she had earned $156 in interest.
topjm [15]

Answer:

6%

Step-by-step explanation:

$156/5 years = $31.20 per year

$31.20/$520 = .06

.06 x 100 = 6%

6 0
3 years ago
Solve the inequality for x -5x - 49 > 113
Anika [276]
X < -40.5

To find this, here are the steps:

Combine like terms like so:

-4x - 49 > 113

Then, begin to isolate the variable x by adding 49 to both sides leaving you with:

-4x > 162

Then divide by negative four. Don’t forget, dividing by negatives switches the way the sign points so your final product will be:

x < -40.5

Hope this helps!
3 0
3 years ago
The perimeter of a rectangle is 40 m. The length is 2 m more than two times the width. Find the length and the width of the rect
RideAnS [48]

Answer:

Length is 14

Width is 6

Step-by-step explanation:

Length = 2W + 2

Width = W

Perimeter is twice the length + twice the width

P = 40 = 2(2W+2) + 2W first simplify

40 = 4W + 4 + 2W  now combine terms

40 = 6W + 4 and subtract 4 from both sides

36 = 6W

Width W = 6

Length = 2W + 2 = 12 + 2 = 14

5 0
3 years ago
7 es un número natural?​
Snezhnost [94]

Answer:

Sí, 7 es un número natural

Step-by-step explanation:

3 0
3 years ago
Choose all of the functions that are linear.
xxTIMURxx [149]

Answers:answer is b because if you multiple y by the x you will get

5 0
2 years ago
Other questions:
  • A circus performer is shot out of a cannon and into a net with an acceleration of 1.5 g. What is her acceleration in meters per
    10·1 answer
  • A certain type of corn grows at the rate of 3 inches per week. is this example linear or exponential? answer
    11·1 answer
  • What is the volume of this cylinder? (Round to the nearest inch ) 7( radius)
    7·1 answer
  • 12a+6b equivalent expression
    11·1 answer
  • Every day 10% of the liquid present in the morning in Kyle's open container will evaporate. At the end of three days, what perce
    8·1 answer
  • one number is 4 times a first number. A third number is 100 more than the first number. if the sum of the three numbers is 592 f
    9·1 answer
  • A doctor administers a drug to a 36-kg patient, using a dosage formula of 51 mg/kg/day. Assume the drug is available in a 300 mg
    11·1 answer
  • According to a certain golf​ association, the weight of the golf ball ball shall not be greater than 1.620 ounces​ (45.93 grams)
    6·1 answer
  • Someone help me please- correct answer will get brainliest :)
    6·2 answers
  • Asociologist is studying influences on family size. He finds pairs of sisters, both of whom are married, and determines for each
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!