Graham graphs the following system of equations to determine its solution.
2x + 4y = 12
2x - y = 2
What is the correct solution?
Enter your answer by filling in the boxes.
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ASAP plz
Answer: (2,2)
Step-by-step explanation:
I'm going to use substitution to solve this:
First, I use the second equation to solve for y in terms of x.
2x - y = 2
-y = 2 - 2x
y = 2x - 2
Then, I plug the value for y into the first equation:
2x + 4y = 12
2x + 4(2x - 2) = 12
2x + 8x - 8 = 12
10x - 8 = 12
10x = 20
x = 2
Now that we have x, we can plug it into either equation (I used the first) to get the value for y:
2x + 4y = 12
2(2) + 4y = 12
4 + 4y = 12
4y = 8
y = 2
We get the point (2,2) as a solution.
Note: This is the point where both lines intersect.
After solving the equation, the value of for the points x and y are (2, 2).
What is an equation?Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the given equation in the question,
2x + 4y = 12 (i) and
2x - y = 2 (ii)
Solve the value for y,
5y = 10
y = 10/5
y = 2
Substitute y=2 in equation (i)
2x + 4(2) = 12
2x = 12 - 8
x = 4/2
x = 2
Therefore, the point is (2, 2).
To know more about Equation:
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Mia's work to find the slope of a trend line through the points (3, 10) and (35, 91) is shown below. Mia's Work Step 1 StartFraction 3 minus 35 Over 10 minus 91 EndFraction Step 2 StartFraction negative 32 Over negative 81 EndFraction Step 3 StartFraction 32 Over 81 EndFraction What was the first error that Mia made?
Answer:
Mia switched the numerator and the denominator.
Step-by-step explanation:
i got it right on edge 2020
and uh also because its y2 - y1 over x2 - x1, not x2 - x1 over y2-y1.
Answer:
C
Step-by-step explanation:
Simplify the following expression by showing any work
Answer:
4[tex]x^{4}[/tex][tex]y^{4}[/tex]z
The parabola with the vertex at (5,5) and a focus (7,5) would open
Answer:
Up. The focus is above the vertex meaning the parabola will open up. If the focus was below the parabola then it would open down.
Step-by-step explanation:
find the area of the circle
Answer:
200.96
Step-by-step explanation:
A = 3.14(8^2)
3.14 * 8 * 8
3.14 * 64
200.96
Answer:
if it is 1.1 times 8 that would be 8.8, but if it is just 11 times 8 that would be 88.
Step-by-step explanation:
Answer ASAP!! There is only a blank circle on the left
Answer:
i think its 1000
Step-by-step explanation:
30 Points and will mark brainliest: Bruce has $1200 in the bank. He wants to Save a total of $3000 by depositing $40 per week from his paycheck. Write and use an equation to find how many weeks he needs to reach his goal.
A - 1200x + 40 = 3000; x=45 weeks
B - 1200 + 40x = 3000; x = 45 weeks
C - x(1200 + 40) = 3000; x = 45 weeks
D - x(1200 - 40) = 3000; x = 45 weeks
Which of these expresses the distributive property?
a) (a + b) + c = a +( b + c)
c) a(bc) = (ab)c
d) a( b + c) = ab + ac
9514 1404 393
Answer:
d) a(b + c) = ab + ac
Step-by-step explanation:
The distributive property explains how multiplication distributes over addition. It can be expressed by the equation ...
a(b + c) = ab + ac
A right square pyramid is shown. The height of the pyramid is 6 units. The distance from the center of the base of the pyramid to vertex D is 2.5 units, as shown. Find the length of segment AD, in units.
Answer:
AD is 6.5 units
Step-by-step explanation:
Find the diagram attached.
From the diagram, you can see that the dotted triangle is a right angled triangle with side AD as the hypotenuse.
To get AD, we will use the pythagoras theorem as shown;
Hyp² = Opp² + Adj²
AD² = 6²+2.5²
AD² = 36 + 6.25
AD² = 42.25
AD = √42.25
AD = 6.5
Hence the measure of length segment AD is 6.5 units
There are 72 female performers in a dance recital. The ratio of men to women is 2:9. How many men are in the dance recital?
Answer:
48
Step-by-step explanation:
72 ÷ 3 = 24
so you know that the men is 24 × 2 = 48
48:72 = 2:3
i looked it up and it says x=4 and theres 12 men but i dont think that helps im so sorry i couldnt find anything:(
15 point hurry
In the following function defined by an equation in the form y = a x squared + b x + c, identify the values of a, b, and c.
y = two-thirds x squared + 3
a.
a = 0, b = two-thirds, c = 3
b.
a = two-thirds, b = 0, c = 3
c.
a = 0, b = 3, c = two-thirds
d.
a = two-thirds, b = two-thirds, c = 3
Given:
[tex]y=\dfrac{2}{3}x^2+3[/tex]
This equation is in the form [tex]y=ax^2+bx+c[/tex].
To find:
The values of a, b and c.
Solution:
We have,
[tex]y=\dfrac{2}{3}x^2+3[/tex]
It can be written as
[tex]y=\dfrac{2}{3}x^2+(0)b+3[/tex]
On comparing this equation with [tex]y=ax^2+bx+c[/tex], we get
[tex]a=\dfrac{2}{3},b=0,c=3[/tex]
Therefore, the correct option is b.
I need help plzzzzzzzzz
A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot.
Step-by-step explanation:
20.6 feet
hope it helps !
Answer:
c
Step-by-step explanation:
I NEED THE ANSWER I HAVE 15 MINUTES LEFT!!
On a high school varsity baseball team, 5 players are sophomores, 11 are juniors, and 13 are seniors. The team selects 4 honorary co-captains by drawing names from a hat. What's the probability that all 4 co-captains come from the same class?
Answer:
4 in 33
Step-by-step explanation:
all you do is add the amount of people and the propability number first
4 in 33
196 divided by 3.5 show your work
The value of 196 ÷ 3.5 is 56
What is division?Division is the opposite of multiplication. If 3 groups of 4 make 12 in multiplication, 12 divided into 3 equal groups give 4 in each group in division. The main goal of dividing is to see how many equal groups are formed or how many are in each group when sharing fairly.
For example, if 50 apples are to be shared by 5 people , the number of apples allocated bto a person is 50/5 = 10 apples
196/3.5
to solve the we can multiply the numerator and denominator by 10 to make all whole number
= 1960/35
we can now simplify
divide through by 5
392/7
divide through by 7
= 56
therefore the value of 196/3.5 is 56
learn more about division from
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My mom likes to support my efforts on the cycling team, so she is always there to watch me race. At the last race, she became so excited that she promised to buy me 4 cupcakes for every three laps I completed. I completed a whole race, a whopping 24 laps! How many cupcakes did my mom buy me? Just write a number for an answer.
Answer:
I think that the answer is 32 cupcakes. I am sorry if this is wrong, but go subscribe to me at SSSniperwolf and LittleLia.
Step-by-step explanation:
ANSWER WHAT YOU CAN NEED THEM ASAP PLZ
Answer:
5. 23
6. 26
7. 20
8. 45
9. 15
10. 120
11. 60 full triangle is 180 and since it is equilateral you divide it by 3 you get 60
12. It is not possible. if you use the pyagorean theorem (not sure on spelling of that?) you get 16 so its not possible for it to be 12.
Which point on the number line below is the opposite of
3?
loo
A
B
с
D
-2.
-1
0
1
2
Ο Α
B
С
OD
Step-by-step explanation:
point c
..................
is f(-2) positive or negative
Answer:
Depends on [tex]f(x)[/tex]
Step-by-step explanation:
Example:
if [tex]f(x) = |x|[/tex]
then [tex]f(-2) = 2[/tex]
if [tex]f(x) = x ^ 3[/tex]
then [tex]f(-2) = -8[/tex]
research: even & odd functions.
Answer:
negative
Step-by-step explanation:
because in number 2 got the little line in one side
anyone wanna help me out please? I will be givin out brainliest!! Thanks
Answer:
62
Step-by-step explanation:
please mark me as brainliest
Write 0.000739 in scientific notation.
Answer:
7.39 × 10-4^-4
Step-by-step explanation:
Answer:
7.39 × 10-⁴
Step-by-step explanation:
m × 10ⁿ, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.
4. 8(0 - 9) = 6(2 - 12) - 40
Answer:
[tex]False[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]8\left(0-9\right)[/tex] = [tex]-72[/tex]
[tex]6\left(2-12\right)-40[/tex] = [tex]-100[/tex]
[tex]Does[/tex] [tex]-72[/tex] [tex]equal[/tex] [tex]-100?[/tex]
[tex]N[/tex] [tex]O[/tex]
[tex]So[/tex], [tex]the[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]false.[/tex]
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
Point AAA is at {(-6,-5)}(−6,−5)left parenthesis, minus, 6, comma, minus, 5, right parenthesis and point CCC is at {(4,0)}(4,0)left parenthesis, 4, comma, 0, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that the ratio of ABABA, B to BCBCB, C is 2:32:32, colon, 3. B=\large(
Answer:
(0, 2)
Step-by-step explanation:
Given the following
coordinate A (-6, 5)
Coordinate C (4, 0)
Ratio is 2:3
Required
Coordinate of B
Using the midpoint formula expressed as;
M(X,Y) = [(ax1+bx2/a+b), ay1+by2/a+b]
x1 = -6, y1 = 5, x2 = 4 and y2 = 0
a = 2 b = 3
Get X;
X = ax1+bx2/a+b
X = 2(-6)+3(4)/2+3
X = -12+12/5
X = 0/5
X = 0
Get Y;
Y = ay1+by2/a+b
Y= 2(5)+3(0)/2+3
Y = 10/5
Y = 2
Hence the coordinate of B is at (0, 2)
Answer:
the answer is (-2,-3)
Step-by-step explanation:
i got it right
HELP MEEEEEEEEE
how many grams are in 562 dg?
Answer: the answer is 56.2 g
Step-by-step explanation:
562 dg * 1 g/10 dg = 56.2 g
hope i helped
-lvr
ALOT OF POINTS NEED HELP
Answer:
C
Step-by-step explanation:
Answer: C.
Step-by-step explanation: G=Q, T=M, A=E
What is the slope of the graph of y=12x−19
y
=
12
x
−
19
?
help plz 60 points plz help me plz
Answer:
no
Step-by-step explanation:
you did this to someone else so ill do it to you XD karma
What is the slope of the line that passes through the points (-10, –4) and (10, -29)? Write your answer in simplest form. Answer: Submit Answer undefined attempt i out of
Answer:
-5/4
Step-by-step explanation:
Maggie says the LCM of 8 and 12 is 24. Her friend Glen says the answer is 4. Who is rigth?
Answer:
Maggie
Step-by-step explanation:
Solve- x/2 + 1=5
A)8
B)9
C) 11
D) 2
Answer:
A. 8
Step-by-step explanation:
Answer:
A/8
Step-by-step explanation:
Since you need to get x by itself you have to subtract the one on both sides. Then the equation is x/2=4 Since x is being divided by the 2 you have to multiply by two on both sides. That leaves you with x=8