x - y = -2
4x - y = 4
[tex] \begin{cases} x - y = - 2 \\ 4x - y = 4 \end{cases}[/tex]
Use the elimination method as it is faster. We have to eliminate the y-term. (You can eliminate the x-term but it takes longer than eliminating y-term.)Simply multiply the negative one in one of the equations.
[tex] \begin{cases} - x + y = 2 \\ 4x - y = 4 \end{cases}[/tex]
We can finally eliminate the y-term by adding both equations.
[tex]( - x + 4x) + (y - y) = 2 + 4 \\ 3x + 0 = 6 \\ 3x = 6 \\ x = \frac{ 6 }{3} \longrightarrow \frac{ \cancel{6}}{ \cancel{3}} = 2 \\ x = 2[/tex]
Substitute the value of x in any given equations. I will substitute in the first equation.[tex]x - y = - 2 \\ 2 - y = - 2 \\ 2 + 2 = y \\ 4 = y[/tex]
Check the answer by substituting the value of x and y in both equations.First Equation
[tex]x - y = - 2 \\ 2 - 4 = - 2 \\ - 2 = - 2 \longrightarrow \sf{true} \: \: \green{ \checkmark}[/tex]
Second Equation
[tex]4x - y = 4 \\ 4(2) - 4 = 4 \\ 8 - 4 = 4 \\ 4 = 4 \longrightarrow \sf{true} \: \: \green{ \checkmark}[/tex]
Hence, the solution is (2,4).
Answer[tex] \begin{cases} x = 2 \\ y = 4 \end{cases}[/tex]
Coordinate Form
[tex](2,4)[/tex]
❗️HELP ASAP❗️
Which pair of angles is congruent??
F. 21 and 22
G. 21 and 24
H. 24 and 23
I. 24 and 22
What is the surface area of this design?
5 in.
256 in2
160 in2
8 in.
96 in2
4 in.
288 in2
4 in.
8 in.
Answer:
Pretty sure its 256 in2
Step-by-step explanation:
did the iready test
By decomposing the design into two rectangular prisms, the surface area of the design is calculated as: A. 256 in.²
What is the Surface Area of a Rectangular Prism?The surface area of a rectangular prism is expressed as, S = 2(lw + lh + wh).
The design can be decomposed into top rectangular prism and bottom rectangular prism.
The surface area of the design = surface area of the top rectangular prism + surface area of the bottom rectangular prism - 2(area of the top rectangular prism that joins the bottom rectangular prism)
Surface area of the top rectangular prism = 2(lw + lh + wh) = 2(5×4 + 5×4 + 4×4) = 112 in.²
Surface area of the bottom rectangular prism = 2(lw + lh + wh) = 2(8×5 + 8×4 + 5×4) = 184 in.²
Area of the top rectangular prism that joins the bottom rectangular prism = l × w = 5 × 4 = 20 in.²
The surface area of the design = 112 + 184 - 2(20) = 256 in.²
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Which of the following have 4 as the GREATEST common factor (GCF).
Select ALL that apply.
4 + 8y
4x + 40y - 400
24x - 16y
x - 4y + 16x
4 - 12x
Answer:
4-12
4+8y
I hope this helped.
One angle of an isosceles triangle measures 26°. Which other angles could be in that isosceles triangle
Answer:
the other angles would be each 77°
and 2 angles are equal in an isosceles triangle
Step-by-step explanation:
hope it helps you
the base of the rectangular prism has an area of 1/8^2 and hieght of the prism is 2/3ft what is the volume of the prisim
Answer:
2/24 ft3 there you go mark brainlest
the first 4 terms and the 10th term for 3n+4
Answer:
first 4 terms =7,10,13,16
10th term = 34
Step-by-step explanation:
3n+4
3(1)+4=7
3(2)+4=10
3(3)+4=13
3(4)+4=16
7,10,13,16
10th term = 3(10)+4= 34
The first four terms of the sequence having nth term 3n+4, are 7, 10, 13, 16 and the 10th term is 34.
What is arithmetic sequence ?An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.
Given that,
The nth term of a sequence is given by 3n+4,
To find the first 4 terms, substitute the values of n,
At n=1, the first term = 3(1) + 4 = 3 + 4 = 7
At n=2, the second term = 3(2)+4 = 6 + 4 = 10
At n=3, the third term = 3(3) + 4 = 9 + 4 = 13
At n=4, the fourth term = 3(4) + 4 = 12 + 4 = 16
For 10th term, substitute n=10.
At n=10, the tenth term = 3(10) + 4 = 30 + 4 = 34
The first four terms are 7, 10, 13, 16 and the 10th term is 34.
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100 POINTS! The midpoint of GH is M(4, -3). One endpoint is G(-2, 2). Find the coordinates of endpoint H.
Answer:
(10, -8)
Step-by-step explanation:
Answer:
solution given:
G(x1,y1)=(-2,2)
H(x2,y2)=(x,y)
Mid point M(a,b)=(4,-3)
we have
(a,b)=((x1+x2)/2,(y1+y2)/2)
(4,-3)=((-2+x)/2,(2+y)/2)
comparing corresponding value
4=(-2+x)/2
8+2=x
x=10
again
(2+y)/2=-3
2+y=-6
y=-6-2
y=-8
So coordinates of H is (10,-8).
Which of the following points satisfies the inequality x - y > 7?
(-2. – 8)
(17, 19)
(9. 2)
(7. - 1)
Answer:
(7, -1)
Step-by-step explanation:
x - y > 7 here my x is 7 and y is -1.
7 - (-1) > 7 negative times negative equals positive.
7 + 1 > 7
8 > 7
Hope this helps, thank you !!
You score an 80% on your test. You answer 44
quesitons correctly. How many questions were on the
test?
Answer:
55
Step-by-step explanation:
Plz help due tomorrow
Answer:
1/2
Step-by-step explanation:
The problem is asking for the coefficient of the sum of the two expressions, which are 2/3 and -1/6.
2/3 + -1/6 = 1/2, therefore, the answer is 1/2.
10v+6=-54
What is happening to the variable?
How do you solve for the variable?
Match the numbers with the correct label pls helpppp
Answer:
first convert all fractions to decimals so you can put least to most on the line
a. -.25
b. − .428571 ( repeating)
c. -.2
now put them in order
a(blue)=b,-3/7
b(pink)=a,-2/8
c(green)=c-.2
I don't know how to do any of this
Answer:
Remember that when a variable is times with a number, you will divide it by that number which is times with variable on both sides.
when a variable is divided by the number, you will multiply it by that number on the both sides.
I hope you understand my explanation. Thank you !!
The ordered pairs bin the table below represent a linear function whst of the slope of the function
Solve for Y
13= 4y+5
y=?
Please help this is my last question and it’s due by 10 PM
sorry there’s only 11 points •.•
Plz help !!!!!!!!!!!!!!!!!!
Answer:
Quadrant 1: 10x^2
Quadrant 2: -4x
Quadrant 3: 5x
Quadrant 4: -2
Step-by-step explanation:
Apply the distributive property to factor out the greatest common factor. 14 k + 35 =
Answer:
7(2k+5)
Step-by-step explanation:
Not sure if I’m correct
And the factor is 7 out of 14k+35
Solve each equation
2x = 10
-3x = 21
1/3x = 6
-1/2}x = -7
Please help, and i will mark you BRAINLIEST
Mary is baking cookies, and the recipe calls for 1 1/2 cups of sugar. If she has 6 1/3 cups of sugar left after she bakes the cookies, how much sugar (s) did she have before she started baking cookies? Which equation would you use to solve for (s)? *
s + 1 1/2 = 6 1/3
6 1/3 - s = 1 1/2
s - 1 1/2 = 6 1/3
1 1/2 + s = 6 1/3
Answer: 4 5/6
Step-by-step explanation: 4 5/6+ 1 3/6(aka 1 1/2)= 6 2/6 (aka 6 1/3)
if you go out to eat and your meal was $72.50 you decide to tip your waiter 15% How much do you pay in total
Answer:
$83.38
Step-by-step explanation:
multiply 72.5 by 1.15: 72.5 x (100% of meal + 15% of meal)
Give the least common denominator: 1/(5n), 1/3 _____
Step-by-step explanation:
step 1. LCD of 1/(5n) and 1/3 is 15n.
Can someone help me out please
Simplify: f (x) – 4g (x)
1. The number of letters received in the mail over the past week is recorded.
2
3
5
5
5
15
Which value appears to be an outlier?
A. 2
B. 3
C. 5
D. 15
Answer:
nose mijito pide ayuda a tus family
13.) The leading scorer in your high school's hockey league finished the season with an average of 4 goals per game for 15 games. As the leagues
second leading scorer, you have an average of 4 goals per game for 14 games. You still have to play your last game. How many goals must you
score in the final game to overtake the leagues' leading scorer?
Answer:
5 goals
Step-by-step explanation:
4 goals per game for 15 games means a total of 60 goals in that season. You have 4 goals per game for 14 games meaning you have a total of 56 goals. To overtake the leading team you must score a minimum of 5 goals to become the leading scorer. (Double-check to make sure I am correct)
There are 376 students in 8th grade at Samuel's school. There are 47 8th graders trying out for football last Thursday. What percent of 8th graders did not try out for football?
Answer:
87.5%
Step-by-step explanation:
There are 376 students in 8th grade at Samuel's school. There are 47 8th graders trying out for football last Thursday.
The number is students not trying out for football last Thursday is calculated as:
376 students - 47 students
= 329 students
The percent of 8th graders that did not try out for football is calculated as:
329 students/376 students × 100
= 329/376 × 100
= 87.5 %
A relation is plotted as a linear function on the coordinate plane starting at point C at (0, −1)and ending at point D at (2, −11) .
What is the rate of change for the linear function and what is its initial value?
20 points Select from the drop-down menus to correctly complete the statements.
The rate of change is
Choose...
and the initial value is
Answer:
The rate of change is -5 and the initial value is -1.
Step-by-step explanation:
Hope this helps
P.S. (from k12)
Angle E and Angle F are Vertical Angles, If measure of Angle E is 3x + 33 and the measure of Angle F is 4x + 8, what is the value of x?
Answer:
Remember vertical angles are congruent so you can set these expression equal to each other and then solve the equation.
Angle F = angle E
4x + 8 = 3x + 33
Now solve for the x variable.
Step-by-step explanation:
PLS HELPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Between April and May
Step-by-step explanation:
April and May have a rate of change of 5 (79-74). February and March have a lesser rate of change.
Answer:
Option 2 :- February and March
Step-by-step explanation:
Rate of change between February and March is $ 5 i.e, ($79-$74)
Rate of change between April and May is $ 3 i.e, ($75-$72)
Thus, Rate of change is greater in February and March.
Hope this helps you.