Answer:
x=2-y/2
Step-by-step explanation:
The solution of system of equations –2y = –4x + 8 and x + y = 5 is (3, 2).
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given system of equations are –2y = –4x + 8
x + y = 5
x=5-y
Nu=ow plug in this in the first equation
-2y=-4(5-y)+8
-2y=-20+4y+8
Take the variable terms on one side and constant on other side.
-6y=-12
Divide both sides by 6
y=2
Now put in the equation of x
x=5-2=3
Hence, the solution of system of equations –2y = –4x + 8 and x + y = 5 is (3, 2).
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The first term in an arithmetic sequence is 5. The fourth term in the sequence is −4. The tenth term
is −22.
Which function can be used to find the nth term of the arithmetic sequence?
Answer:
aₙ = -3n + 8Step-by-step explanation:
The nth term of an arithmetic sequence: aₙ = a₁ + d(n - 1)
{d = common difference}
a₁ = 5
a₄ = 5 + d(4 - 1)
-4 = 5 + 3d
-4 - 5 = 3d
3d = -9
d = -3
Therefore;
aₙ = 5 + (-3)(n - 1)
aₙ = -3n + 8
Check: a₁₀ = 5 + (-3)(10 - 1) = 5 - 27 = - 22
The nth term of the sequence is Tn = 8 - 3n
How to determine the function of the nth term?The given parameters are:
a = 5, first term
T4 = -4 --- the 4th term
T10 = -22 --- the 10th term
The nth term of an arithmetic sequence is:
Tn = a + (n - 1) * d
So, we have:
T4 = a + (4 - 1) * d
Substitute known values
-4 = 5 +(4 -1) * d
This gives
-4 = 5 + 3d
Subtract 5 from both sides
3d = -9
Divide by 3
d = -3
Recall that:
Tn = a + (n - 1) * d
So, we have:
Tn = 5 + (n - 1) * -3
Expand
Tn = 5 + 3 - 3n
Solve
Tn = 8 - 3n
Hence, the nth term of the sequence is Tn = 8 - 3n
Read more about arithmetic sequence at:
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Write an equation for this word
sentence: one third of a number
equals 9.
Hurry plsss
Answer:I believe D
Step-by-step explanation: Hope you get it right
Help meeeeeeeeeeeeee
Answer:
x = 120°
Step-by-step explanation:
this is a 7-sided polygon and the sum of the interior angles is (7-2)×180° = 900°
add all 7 angles together and set equal to 900
x + 150 + x - 20 + 140 + 120 + x + 20 + 130 = 900
combine 'like terms'
3x + 540 = 900
3x = 360
x = 120
A line segment has endpoints S(-9,-4) and T(6,5). Point R lies on ST such that the ratio of SR to RT is 2:1. What are the coordinates of point R?
Answer:
Coordinates of R = (1,2)
Step-by-step explanation:
Let the coordinate of R be (x, y)
Since coordinates of S and T are S(-9,-4) and T(6,5). Then we can use the Formula for length of line from coordinates to find coordinates of R since SR/RT = 2/1
Thus; 1(S) = 2(T)
Coordinates of R = [(1(-9) + 2(6))/(1 + 2)], [(1(-4) + 2(5))/(1 + 2)
Coordinates of R = (3/3), (6/3)
>> (1, 2)
andre says he can use the long division to divide 17 by 20 to get the decimal
Answer:
0.85
Step-by-step explanation:
Choose all that apply!!!
Answer:
56 degree and 68 degree
plz mark me as brainliest
Answer:
62°
Step-by-step explanation:
Since the triangle is isosceles then the 2 base angles are congruent.
Given there is one angle measuring 56° then it must be the vertex angle.
Thus the 2 congruent base angles are
[tex]\frac{180-56}{2}[/tex] = [tex]\frac{124}{2}[/tex] = 62°
Pls help! question is on picture, will mark brainlyest if its right
Answer:
sine=opposite/hypotenuse
sine=6/10
sine=0.6
sine^-1 0.6
=36.87
Is the triangle with leg lengths of 8 mm and 8 mm and a hypotenuse of length 12 mm a right triangle?
Answer:
No
Step-by-step explanation:
Use the Pythagorean Theorem to check on this.
Does 8^2 + 8^2 = 12^2? Does 64 + 64 = 144? NO. So this is not a right triangle.
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
pi, and square root of 2
I don't think you're ACTUALLY going to give me brainliest
Please answer this is my last few points
Answer:
first is some and second is all
Step-by-step explanation:
PLEASE GIVE BRAINLIEST!!!!!!!!!!
Answer:
1. All
2. Some
Step-by-step explanation:
I belive this awnser is correct
What is vertical asymptote for the given equation
f(x) = log(x - 5) + 2
match each hypotenuse with the leg that will create a right
triangle
Answer:
Where is the question so that I can help you with it
Maya's fish tank has 17 liter of water in it. She plans to add 4 liters per minute until the tank has at least 53 liters. What are possible numbers of minutes Maya could add water? Use t for the number of minutes. Write your answer as an inequality solved for t.
Answer: you know it’s 9mins but Im not sure how I should make the equation probably I think (53= 9T + 4)
Step-by-step explanation:
A plane rises from takeoff and flies at an angle of 90° with the horizontal runway when it has gained 400 feet find the distance that the plane has flown.
Answer:
2879ft
Step-by-step explanation:
The level runway (x), height gained (h), and distance travelled (r) form a right-angled triangle with base angle
10
∘
.
We may hence use trig ratios to solve for any of the unknowns, in particular for the distance r as follows :
which helps yhu find the total number of flowers
Answer:
what do you mean? is there another part of the problem?
Step-by-step explanation:
help pleaseeeeeeeeeeeeeeeee
Answer:
area = 175 cm^2
Step-by-step explanation:
area = base * height
area = 5 cm + 35 cm
area = 175 cm^2
1. In a zoo, there were 36 exhibits, but k exhibits were closed. Write the expression
for the number of exhibits that were open.
2. The zoo is open for 9 hours on weekdays. On weekends, the zoo is open for r more hours. Write the expression for the number of hours the zoo opens on weekends.
3. In the lion exhibit in the zoo, there are n lions. 3/5 of the lions are female. Write the expression for the number of female lions.
Answer:
Step-by-step explanation:
What is the difference between a monomial and a polynomial?
Answer:
Is that your answer
Do all pls 20 points Combine Rationa
Please Help! Draw the graph of an absolute value function that has these key features:
vertex: (2,-3)
increasing: (2, ∞)
decreasing: (-∞, 2)
domain: all real numbers
range: [-3, ∞)
end behavior: As x approaches negative infinity, f(x) approaches positive infinity. As x approaches positive infinity, f(x) approaches positive infinity.
Answer:edmentum
Step-by-step explanation:
WHAT WOULD THiS BE! ♀️
no scammers pleaseee!
Answer:
First find the unit rate for julie
3 hours/45 dollars
0.066 hours/1 dollar
Now based off table, find Jacksons
y = 25x
if x = 1, y would be 25
25 - .066 = 24.934 dollars
Step-by-step explanation:
Solve by completing the square.
x2 - 4x – 20 = 0
A. x = {-2±6√2}
B. x = {2+6√2}
C. x = {2+2√6}
D. x = {-2±2√6}
Show your work.
Step-by-step explanation:
Subtract
20
from both sides of the equation.
x
2
−
4
x
=
−
20
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
.
(
b
2
)
2
=
(
−
2
)
2
Add the term to each side of the equation.
x
2
−
4
x
+
(
−
2
)
2
=
−
20
+
(
−
2
)
2
Simplify the equation.
Tap for more steps...
x
2
−
4
x
+
4
=
−
16
Factor the perfect trinomial square into
(
x
−
2
)
2
.
(
x
−
2
)
2
=
−
16
Solve the equation for
x
.
Tap for more steps...
x
=
2
±
4
i
Help please please help help please help!!!
Answer:
standard
Step-by-step explanation:
I need help on the circled problem please
Answer:
There would be infinite solutions because the equations are exactly the same.
I hope this answered your question
If you know the area and the base of a triangle, how can you find the height?
Answer: do your values into the equation A=1/2bh and do the math. First multiply the base (b) by 1/2, then divide the area (A) by the product. The resulting value will be the height of your triangle!
PLEASE HELP THIS IS MATHHHHH
what inequality??????
help i need the answer
Answer:
NO
Step-by-step explanation:
If the diameter of the circle is doubled the area will be increased 4 times
I and my friends can't find the answer to this and we need help pls.
Anyone help pls? No links! :)
Answer:
6. D
7. F
8.A
9. B
10 C
13.Question- Write an expression using division and subtraction with a difference of 3.
answer- (12 divide 3) -1
Twelve divided by three is four. Four minus 1 is three.
12. Question- Write an expression using multiplication and addition with a sum of 16.
answer- There are many answers for this and this is one of them:
Y=4(3+1)
Y=16
or
Y=2(6+2)
Y=16
11. Question- Sam bought two CDs for $13 each. Sales tax for both CDs was $3. Write an expression to show how much Sam paid in all.
answer- Expression- (13*2)(3*2)=$32
This is the answer because Sam bought two CD's for 13, 13*2, and the sales tax was $ 3, so 3*2=6
Solve the below equations put the answer in radical form.