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
Lera25 [3.4K]
3 years ago
13

A student is trying to solve the set of two equations given below:

Mathematics
1 answer:
lions [1.4K]3 years ago
8 0
Equation A : x + z = 6
Equation B : 2x + 3z = 1

Possible step used in eliminating in  z-term.

Multiply equation A by -3.

-3(x +z) = -3(6)
-3x - 3z = -18

-3x - 3z = -18
 <u>2x + 3z =   1</u>
-x           = -17
<u>÷ -1           ÷ -1
</u>x             = 17
You might be interested in
Point B has coordinates ​(​1,2​). The​ x-coordinate of point A is -8. The distance between point A and point B is 15 units. What
Xelga [282]

Answer:

The possible coordinates of point A are A_{1} (x,y) = (-8, 14) and A_{2} (x,y) = (-8, -10), respectively.

Step-by-step explanation:

From Analytical Geometry, we have the Equation of the Distance of a Line Segment between two points:

l_{AB} = \sqrt{(x_{B}-x_{A})^{2} + (y_{B}-y_{A})^{2}} (1)

Where:

l_{AB} - Length of the line segment AB.

x_{A}, x_{B} - x-coordinates of points A and B.

y_{A}, y_{B} - y-coordinates of points A and B.

If we know that l_{AB} = 15, x_{A} = -8, x_{B} = 1 and y_{B} = 2, then the possible coordinates of point A is:

\sqrt{(1+8)^{2}+(2-y_{A})^{2}} = 15

81 + (2-y_{A})^{2} = 225

(2-y_{A})^{2} = 144

2-y_{A} = \pm 12

There are two possible solutions:

1) 2-y_{A} = -12

y_{A} = 14

2) 2 - y_{A} = 12

y_{A} = -10

The possible coordinates of point A are A_{1} (x,y) = (-8, 14) and A_{2} (x,y) = (-8, -10), respectively.

8 0
3 years ago
Someone please help me!!​
LiRa [457]

Answer:

no it is not

Step-by-step explanation:

4 0
3 years ago
What is the approximate volume of the cone?
Vlad [161]
Volume=1/3π<span>×</span>r²×h^(Applies for any "right cone")^
Therefore your answer would be 
A.1206 cm³

8 0
3 years ago
Read 2 more answers
A signalized intersection has a cycle length of 60 seconds and an effective red time of 25 seconds. The effective green time is
alexandr402 [8]

Answer:

effective green time = 35 seconds

Step-by-step explanation:

given data

cycle length = 60 seconds

effective red time = 25 seconds

solution

we get here  effective green time that is express as

effective green time = cycle length  - effective red time   ...........................1

put here value and we will get

effective green time = 60 seconds - 25 seconds

effective green time = 35 seconds

3 0
3 years ago
Which represents the number of times all outcomes less than a given outcome occur? cumulative frequency relative frequency frequ
max2010maxim [7]

Answer: cumulative frequency

Step-by-step explanation:

  • A frequency is the number of times a data value occurs.
  • A relative frequency is the fraction or proportion of times an answer occurs.
  • The cumulative frequency analysis is the analysis of the frequency of occurrence of values of a phenomenon less than a reference value.

In a data set, the cumulative frequency for a value x is the total number of scores that are less than or equal to x.

Hence, cumulative frequency represents the number of times all outcomes less than a given outcome occur.

5 0
3 years ago
Other questions:
  • A hose with a larger diameter working alone can fill a swimming pool in 9 hours.A hose with a smaller diameter working alone can
    13·1 answer
  • (y^4 – y^3 + 2y^2 + y – 1) ÷ (y^3 + 1)<br> DO NOT INCLUDE PARENTHESES IN YOUR ANSWER
    15·1 answer
  • : Change these speed into miles per hour<br>(b) 48km/h​
    10·1 answer
  • Which is the missing step in the proof below? There is a 4th row that blank...
    8·1 answer
  • Express the solution set of the equation in set notation.<br><br> x - 2 = 10
    5·1 answer
  • Is 5p+5c equal to 5(p+c)
    6·2 answers
  • 5 of 10<br> What is the decimal multiplier to increase by 2.8%
    10·1 answer
  • If your chances of winning a game are 4 out of 10, that’s better than having chances of 2 out of 10.
    6·1 answer
  • Consider the quadratic expression given below.
    6·1 answer
  • HELP ME OUT PLEASE!!!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!