I like to work with the slope-intercept form of the line:
x=4y-8 �> y = (1/4)x + 2 (1)
12x+y=11 �> y = -12x + 11 (2)
At the point where they intersect the two y values must be equal, so set eq(1) = eq(2):
(1/4)x + 2 = -12x + 11
( (1/4) + (48/4))x = 9
(49/4)x = 9
Ans: x = 36/49
Check: Plug in x=36/49 to eq(1) and eq(2) to make sure they produce identical y values:
(1) y = (1/4)(36/49) + 2 = (9/49) + (98/49) = 107/49
(2) y = -12(36/49) + 11 = (-432/49) + (539/49) = 107/49 (they match)
By using substitution method,
The x-coordinate of the point where the lines x=4y−8 and 12x+y=11 intersect is [tex]\frac{36}{49}[/tex].
What is substitution method?"The substitution method is one of the algebraic methods to solve linear equations. It involves substituting the value of any one of the variables from one equation to the other equation."
We have the lines
x=4y−8 ..........................(1)
12x+y=11 .........................(2)
By using substitution method
Substitute x = 4y - 8 in equation (2)
⇒ 12(4y-8) + y = 11
⇒ 48y - 96 + y = 11
⇒ 49y = 11 + 96
⇒ y = [tex]\frac{107}{49}[/tex]
Calculating the x - coordinate by substituting y value in equation (1)
x=4y−8
⇒ x = [tex]4(\frac{107}{49} )-8[/tex]
⇒ x = [tex]\frac{428-392}{49}[/tex]
⇒ x = [tex]\frac{36}{49}[/tex]
Hence, the x-coordinate of the point where the lines x=4y−8 and 12x+y=11 intersect is [tex]\frac{36}{49}[/tex].
Learn more about substitution method here
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It's 8 to 3 i promise i got it right on the assessment
Answer:
whats the question but if your asking whats 8-3 its 5
Step-by-step explanation:
Amora bought 4 yards of fabric for $36. How much did the fabric cost per inches
Answer:
$0.25 per inch
Step-by-step explanation:
1 yard = 36 inches
So 36 times 4 is 144
36 divided by 144 is 0.25
ASAP PLZ I WILL GIVE BRAINLIEST!!!!!!!!!
Answer:
B
Step-by-step explanation:
I think the answer is B because the expression shows 3 times x (Representing the number), and the diagram shows 3 xs. I was very confused about the first diagram but I still think it's B. Sorry if I'm wrong.
A bag contains the following marbles: 4 black marbles, 14 blue marbles, 8 brown marbles, and 20 green marbles. What is the ratio of blue marbles to brown marbles?
Express your ratio as a fraction or with a colon
Answer:
14/8 or 14:8
Step-by-step explanation:
blue:brown=14:8
What is the area of the composite figure?
5 cm
1 cm
2 cm
5 cm
8 cm
o 52.5 cm?
o 60 cm?
o 40 cm
. 65 cm
Answer:
To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.
Answer:52.5 cm
Step-by-step explanation:
r f(x)
--2-1
-11-3
0-5
1-7
Which function rule defines f(x)?
Answer:
B. f(x) = -2x - 5
Step-by-step explanation:
✔️Find the rate of change:
Rate of change using two of the given pair, say (0, -5) and (1, -7)
Rate of change (m) = ∆f(x) / ∆x = (-7 -(-5)) / (1 - 0) = -2/1 = -2
✔️Find y-intercept (b):
y-intercept (b) = -5 because the y-intercept is the value of f(x) when x = 0.
✔️Substitute m = -2 and b = -5 into f(x) = mx + b
Thus,
f(x) = -2x + (-5)
f(x) = -2x - 5
Solve the system of equations.
9x - 3y = 12
y = 3x - 4
Answer:
Infinite solutions
Step-by-step explanation:
if you simplify, both equations are equal which means it can have infinite values
Savannah had $13. She earned more money babysitting She now has at least $20.
Write an inequality that could be solved to find the money she could have made
babysitting
Factor this expression by
dividing by the GCF first.
49w +21
Answer:
I don't know what your asking but if its simplifying then its 7(7w+3)
Step-by-step explanation:
Please help me
( Will give brainlst )
Answer:
Step-by-step explanation:
You are given the equation for the number of times, y, that she visits them by distance x. You need only substitute the given x=4 into the equation y(x)
y=-3.5x+20, using x=4
y=-3.5(4)+20
y=-14+20
y=6
So we would expect her to visit her friend four miles away six times a month.
PLEASE HELP 20 POINTS!
Answer:
WHAT PERCENT?
FOR ME IS B. 20%!HOPE THIS HELPS YOU ANSWER :)
#CarryOnLearning!
(4/5 + 2/3) + 1/5 = Help?
Answer:
1 2/3
Step-by-step explanation:
If you make all of their denominators 15, you would get 12/15 + 10/15 + 3/15, which is equal to 25/15, which is 1 10/15. 10/15 simplifies to 2/3, so the answer is 1 2/3.
Step-by-step explanation:
7(4/5 + 2/3) + 1/5 = Help?
Help pls !!! Answer u don’t have to explain
Answer:
B
Step-by-step explanation:
6 miles............
Help please and thank you
Graph the equation with work y=-3
Answer:
x, 0 y, -3
Step-by-step explanation:
i couldn't bring a graph so this is just where to graph it
need the answer please
for blank 1 the answer is "slope" and for blank 2 the answer is y-intercept (slope intercept form is y=mx+b, m=slope and b=y-intercept).
Which set of numbers has 11 as a common factor? {154, 231} {143, 221} {33, 39} {77, 91}
The set of numbers that have 11 as a common factor is {154, 231}.
What are common factors?The number that divides two or more numbers is called a common factor.
Given are the pair of numbers as -
{154, 231}
{143, 221}
{33, 39}
{77, 91}
The pair of numbers with the common factor 11 is {154, 231}.
Therefore, the set of numbers that have 11 as a common factor is {154, 231}.
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Will give brainliest
Answer:
PR= 8
ST=5
Step-by-step explanation:
PQ and PR are congruent so
2x=8
x=4
2*4=8
PR=8
ST and TU are congruent so
5z=2z+3
3z=3
z=1
5*1=5
ST=5
Answer:
PR=8
ST=5
Step-by-step explanation:
PR
QS=SR (marked)
a²=b²+c² (TRIANGLE PQS)
PQ²=PS²+QS²
8²=PS²+SR² (PQ=8, QS=SR)
64=PS²+SR²
a²=b²+c² (TRIANGLE PRS)
PR²=PS²+SR²
(2x)²=64
2x=8
x=4
PR=2x=2(4)=8
ST
a²=b²+c² (TRIANGLE VUT)
VT²=TU²+UV²
VT²=(2z+3)²+UV²
VT²=4z²+12z+9+UV²
a²=b²+c² (TRIANGLE VST)
VT²=VS²+ST²
VT²=VS²+25z²
4z²+12z+9+UV²=VS²+25z²
21z²-12z-9=0
7z²-4-3=0
(7z+3)(z-1)=0
z=-3/7 or z=1
cant be neg, z=1
ST=5(1)=5
-5t2 + 14t + 3 = 0
ANSWER PLSS!!!!!
Answer:
t=3
Step-by-step explanation:
Find the interest Earned
$1200 at 7% for 5 years
Show ur work please and thanks
Answer:
84
Step-by-step explanation:
So,
1% of 1200 = 12
12x7 = 84
Wendy painted 5/9 of the wall. Wilma painted 2/9 of the wall. How much of the wall did they paint together?
Answer:
7/9
Step-by-step explanation:
5/9+2/9=7/9
Answer:
7/9
Step-by-step explanation:
Add together the 2 fractions, 5/9 + 2/9. You dont add the bottom numbers just the top numbers, so you would get 7/9. I hope this helps :)
Write the numbers in order from least to greatest. 0.3.0.5.-1.6.-1.35
2g + 4 > 14
Inequality
Answer:
g>5
Step-by-step explanation:
2g+4>14
Subtract 4 on both sides
2g>10
Divide 2 on both sides
g>5
I hope this is correct and have a nice day
1/3 x 3/5 help me- like I can’t
Answer:
0.2
or
2/10
Step-by-step explanation:
आकत हा
(क) समीकरणों 2x+3y = 18 तथा. X-2y=2 का हल है।
Answer:
Y=-2/3x+6
y= 1/2x+ -1
No
Step-by-step explanation:
est Coordinate Proof Problem
10 points
7
1
K
Use the Kite above. Prove by showing your work the following things:
ALL
1. Diagonals are perpendicular;
2
Pairs of sides are congruent
3. What is the equation of Line ?
pedir
Myriah purchased a pair of volleyball shoes on Amazon for a retail price of $75. After a 20% off coupon, how much were the shoes
Answer:
$60
Step-by-step explanation:
75 decrease 20% =
75 × (1 - 20%) = 75 × (1 - 0.2) = 60
Mia invested $52,000 in an account paying an interest rate of 3.1% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest tenth of a year, for the value of the account to reach $62,100?
Answer:
Step-by-step explanation:
Maia will have 3.1 percentage because we divide three 52,000 by 3.1 percent
?????????????????????
I have no clue at all
The points with coordinates (0,0)
and (2,1) are connected by a line
segment. If this line segment is
extended into a line, which point
will also be on the line?