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
lana [24]
3 years ago
8

Solve by elimination: x + 9y = 8 -6X - 9y = -3

Mathematics
1 answer:
WITCHER [35]3 years ago
5 0

Answer:

(-1,1)

Step-by-step explanation:

x + 9y = 8

-6x - 9y = -3

Add the two equations together to eliminate y

x + 9y = 8

-6x - 9y = -3

---------------------

-5x   = 5

Divide by -5

-5x/-5 = 5/-5

x = -1

Now solve for y by substituting into the first equation

x+9y = 8

-1 + 9y =8

Add 1 to each side

-1+1 + 9y = 8+1

9y=9

Divide each side by 9

9y/9 = 9/9

y = 1

You might be interested in
A group of friends has gotten very competitive with their board game nights. They have found that overall, they each have won an
Sati [7]

The standard deviation is  4 games

A standard deviation (or σ) is a measure of how dispersed the facts are in relation to the mean. Low general deviation method statistics are clustered around the imply, and excessive trendy deviation indicates facts are more unfold.

Don't forget the statistics set: 2, 1, 3, 2, four. The mean and the sum of squares of deviations of the observations from the mean will be 2. 4 and 5.2, respectively. as a consequence, the same standard deviation could be √(5.2/5) = 1.01.

In data, the same old deviation is a degree of the quantity of variant or dispersion of a set of values. A low preferred deviation indicates that the values tend to be close to the mean of the set, while a high general deviation shows that the values unfold out over a much broader variety.

Given that,

mean = μ = 18

standard deviation = Σ =  6

n = 2

μ  x =  μ = 18 games

√  x = Σ / √ = 6  

√2 = 4 games

Learn  more about standard deviation here brainly.com/question/12402189

#SPJ4

6 0
2 years ago
How much material is used
Neko [114]
This question is essentially asking you to find the surface area of the box.
The formula for SA on a rectangular prism is: 2(L*W+L*H+W*H)
L=Length W=Width H=Height

Lets input the information we know:
2(20*8+20*30+8*30)
Follow BEDMAS
2(160+600+240)
2(760+240)
2(1000)
2*1000
=2000

The box will need 2000 centimeters squared of material.

Hope this helps!
-Benjamin
5 0
3 years ago
-2x-y=-9<br> 5x-2y=18<br> substitution
KIM [24]
-2x-y=-9 \\&#10;5x-2y=18 \\ \\&#10;\hbox{solve the first equation for y:} \\&#10;-2x-y=-9 \ \ \ |+2x \\&#10;-y=-9+2x \ \ \ |\times (-1) \\&#10;y=9-2x \\ \\&#10;\hbox{substitute 9-2x for y in the second equation:} \\&#10;5x-2(9-2x)=18 \\&#10;5x-18+4x=18 \\&#10;9x-18=18 \ \ \ |\div 9 \\&#10;x-2=2 \ \ \ |+2 \\&#10;x=4 \\ \\&#10;y=9-2x=9-2 \times 4=9-8=1 \\ \\&#10;\boxed{(x,y)=(4,1)}
6 0
3 years ago
Read 2 more answers
Five times a complement of an angle exceeds twice its supplement by 9. Find the angle
kkurt [141]

Answer:

33

Step-by-step explanation:

the answer is in the above image

4 0
3 years ago
If the diameter of circle O is 20 and CE = 4, then determine the length of AB. Show how you arrived at your answer.
Aneli [31]

Answer:  Length of AB is 16 cm

Step-by-step explanation:

Given: Diameter of a circle is 20 cm and CE = 4 cm

Now as shown in figure AO, BO, CO are radii

\text { Radius } =\dfrac{\text {Diameter}}{2} = \dfrac{20}{2} = 10 cm

Therefore

AO=BO=CO= 10 cm

Now

OE = CO- CE  \Rightarrow OE= 10 -4 = 6 cm

Now in Δ OEB

∠OEB =90°

Therefore by Pythagoras theorem : In a right angle triangle the square of hypotenuse is equal to the sum of square of other two sides.

So we have

BO^2=BE^2+EO^2\\\\\Rightarrow 10^2= BE^2 +6^2\\\\\Rightarrow BE^2= 100-36\\\\\Rightarrow BE^2 = 64 \\\\\Rightarrow BE= 8 cm

Now as we know perpendicular to the chord from the center of a circle bisect the chord.

Therefore

AB= 2\times BE = 2\times 8=16 cm

Hence , the  length of AB is 16 cm .

8 0
3 years ago
Other questions:
  • A registration fee for a used car is 0.8% of the sale price of $5,700. How much is the fee
    14·1 answer
  • HELP ME ASAP HELP ME ME
    11·2 answers
  • Solve 4(t+1)=6t-1<br> A) 1 1/2 <br> B) 2 1/2 <br> C) 1 <br> D) 0
    12·2 answers
  • 4 1/4 divided by 1 1/2
    8·1 answer
  • Napa and Newton are 24 miles apart. On a map, the two cities are 3 inches apart. What is the map scale?
    14·1 answer
  • H(x)=4log2(x−6)+1 <br><br> All real numbers greater than____
    9·1 answer
  • (a)Find an angle between 0° and 360° that is coterminal with 865° .
    14·1 answer
  • 8x10 to the fifth power is how many more times as great as 8x10 to the -1 power
    15·1 answer
  • The vertices of a triangle are P[4.1). Q(2.-8), and R(-8.1). What are the vertices of the image reflected across the y-axis?
    13·1 answer
  • What i 5 + 5<br> ok<br> ok<br> ko
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!