The tables of ordered pairs represent some points on the graphs of two lines. What is the solution to the system of equations represented by the two lines?
Answers
Answer:
(-9, 5)
Step-by-step explanation:
1. Find the equations of both lines (y = mx +b).
For the table on the left, we can see that the y-intercept is 23 (at x=0, y=23). Hence, b = 23. We can also see that the y-value for the left table increases by increments of 2, meaning that the slope (m) will be 2. Thus:
f1(x) = 2x + 23
For the right table, do the same thing. The table tells us that when x = 0, y = -58 (so b = -58). We also see that the y-value DECREASES in increments of 7, meaning that the slope, m = -7. Thus,
f2(x) = -7x - 58
2. Set the equations equal to each other to find the x-value at which the two equations will intersect.
2x + 23 = -7x - 58
9x = -81
x = -9
3. Plug your newfound x-value into any of the two equations to find the y-value at which both equations will intersect.
y = 2x + 23
y = 2(-9) + 23
y = 5
OR
y = -7x - 58
y = -7(-9) - 58
y = 5
ANSWER: At the point (-9, 5), the two lines intersect. Hence, the solution to the equation is (-9, 5).
Answer:
x = -9 and y =. 5
Step-by-step explanation:
(-2, 19) and (-1, 21)
Slope: (21-19)/(-1- -2) = 2
y-intercept = 21 - (2)(-1) = 23
a) y =2x + 23
(-2,-44) and (-1,-51)
Slope: (-51- - 44)/(-1- -2) = -7/1 = -7
y-intercept: -44-(-7)(-2)=-58
b) y = -7x - 58
Substitute y in equation a.
-7x-58 = 2x + 23
-9x = 81
x = -9
Substitute X by -9 in equation b: y = -7(-9) - 58= 5
y = 5
Related Questions
A number pattern was created by subtracting 28 from the previous term. If the starting value for the pattern was 117, which of the following shows the resulting pattern?
A.
117, 89, 61, 5...
B.
117, 89, 61, 33...
C.
117, 89, 63, 5...
D.
117, 89, 63, 33..
Answers
Answer:
B. 117, 89, 61, 33...Step-by-step explanation:
Starting point is 117 and common difference is - 28.
The first 4 terms are:
117117 - 28 = 8989 - 28 = 6161 - 28 = 33Correct sequence is B
Which equation represents a line that is perpendicular to y=3x−4?
Answers
Answer:
- 1/3x + 2Step-by-step explanation:
Given line:
y = 3x - 4Perpendicular lines have negative-reciprocal slopes:
m₁*m₂ = - 1Since m₁ = 3, we can find m₂:
3*m₂ = - 1m₂ = - 1/3Given choices:
-1/3x + 2 or 1/3x - 4Correct choice is the first one
Two pillars of height 8 ft each with four faces of the gate of a stadium have one-one pyramid of height 4 ft each having same base on their tops. The base of each pillar is 6 ft × 6 ft. If the pillars with pyramid are painted at rate of Rs 89 per sq.ft , what will be the total cost? [ Please include figure too]
Help!! ~Thanks in advance! :)
Answers
Answer:
₹ 44856Step-by-step explanation:
There are 2 pillars, two right prisms of dimensions 6x6x8 ft, two right pyramids of dimensions 6x6x4 ft on top of prisms.
There will be 4 faces of each painted.
Area of each prism face:
6*8 = 48 ft²Total area of prism faces:
8*48 = 384 ft²Slant height of pyramid faces:
s = √h²+(a/2)², where h- height of pyramid, a - side of bases = √4²+(6/2)²= √16+9 = √25 = 5 ftArea of each face of pyramid:
A = (1/2)*6*5 = 15 ft²Total area of pyramid faces:
8*15 = 120 ft²Total area to be painted:
384 + 120 = 504 ft²Cost of paint:
504*89 = 44856Total cost painted = 44,856
Answer in the picture.
what is the quotient of -2/15÷ 1/4
Answers
Answer: -8/15
Step-by-step explanation:
-(2/15)/(1/4)
-[(2/15)/(1/4)]*(4/4)
= (-2/15)*(4/1)
= -8/15
A train goes at a constant speed. It can travel 150 miles in 2 1/2. How long will it take that train to travel 100 miles
Answers
Answer:
1 2/3 hours
Step-by-step explanation:
At constant speed, the time is proportional to the distance.
time/distance = 2.5 h/150 mi = x /100
x = 100(2.5/150) h = 5/3 h = 1 2/3 h
It will take the train 1 2/3 hours to travel 100 miles.
what is 5 minutes to four and how?
Answers
Answer:
4 minutes to 4 is actually 3 56 am or pm
Step-by-step explanation:
it simply means you are left with 1 2 3 4 minutes only till is 4 o'clock
what is the distance of E(7.3) and F (-2,6)
Answers
An(5.4)
Step-by-step explanation:
A 6.50 m long ladder leans against a house wall. The ladder forms an angle of inclination a of 72 ° with the horizontal ground. How high is the ladder against the wall?
Answers
6.182m against the wall from the ground
Well this is a tricky one though but very easy.
So we have on our hands a 6.50m long ladder leaning against a wall at an angle of 72°, as illustrated in the diagram above. (please parden my hand writing).
So we are to find how high the ladder is against the wall, which from the diagram I labelled as y, and to find y we have to use something called SOHCAHTOA. This basically is use in calculating some lengths of a right angle triangle when Pythagoras therom fails u .
So from SOHCAHTOA, we are going to use SOH
What this basically means is
The sin of an angel(for example x) can be found by dividing the opposite to the angle by the hypotenuse. Since we are finding for y
Sin(72°) = y/6.50, if we should cross multiple the we will be having
Y = sin(72°) * 6.50
After evaluating using your calculator,
You will have y = 6.182
8x-22 please help me please help me please help me please help me please help me please help me
Answers
Answer:
8x - 22
Step-by-step explanation:
You can't do anything because in order to subtract 22 from 8x the 22 has to have an x behind it as well. :) hope this helps! (Can I get brainliest? If not it ok! ^w^)
I'll mark brainliest if your right! please help me!!!!
Answers
Answer:
its 3 and 5
Step-by-step explanation:
i know this because i took the quiz and its simple
Find the midpoint of the following
two coordinates:
(3, 1) and (5,5)
Hint: x1 + x2 Y1 + y2
2.
9
2.
A. (3, 4)
B. (2, 4)
C. (4,3)
Answers
Measure the distance between the two end points, and divide the result by 2. This distance from either end is the midpoint of that line. Alternatively, add the two x coordinates of the endpoints and divide by 2. Do the same for the y coordinates.
Answer:
C, just use the formula.
Step-by-step explanation:
I need help asap please
Answers
Answer:
b
Step-by-step explanation: i’m that guy
1. A linear function can be represented by the equation y = 7x - 4. Identify the slope and y-intercept.
y-intercept:
Slope:
Answers
Hello!
Remember y=mx+b.
m is the slope and b is the y intercept.
So
the slope is 7 and the y intercept is 4.
Hope this helps!
~Just a felicitous teen
#CarryOnLearning
[tex]SIlentNature[/tex]
Answer:
slope: 7
y-intercept:4
Step-by-step explanation:
CORRECT ANSWER GETS BRAINLIEST
If Angela's grade in math class was 64% without her culminating mark, and she got 65% on her culminating, which was worth 30% of her grade, what's her overall grade now?
Answers
Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles.
Answers
9514 1404 393
Answer:
7x +40x = 204x +30 = 110°3x +10 = 70°Step-by-step explanation:
The marked angles are supplementary, so you have ...
(4x +30) +(3x +10) = 180
7x +40 = 180
__
Subtracting 40 gives ...
7x = 140
x = 140/7 . . . . . divide by the coefficient of x
x = 20
__
Then the angle measures are ...
4x +30 = 4·20 +30 = 110°
3x +10 = 3·20 +10 = 70°
I think of a number. I add 7, divide by 6, add 1 then square it. I get 9. What was my number?
Answers
Answer:
answer is the number 5
Step-by-step explanation:
First you square root 9 which is 3. Then u 3-1= 2. then u times 2 by 6 which equals = 12. Then minus 7 from this number. 12-7=5 ur number is 5.
Pleaseeee help please
Answers
Answer:
109 degrees
Step-by-step explanation:
Since AB is a straight line, we know the line is 180 degrees in total. So, with this information, subtract 180 with 29 and 42.
I think it might be 109°. AB is a straight line so it would have a degrees of 180, so I think all you have to do is add the two other degrees (42+29) which would give you 71, and then subtract 71 from 180.
Hopefully this answer is right but sorry if it isn't.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!8
Answers
Answer:
C
Step-by-step explanation:
Slope can truly be anything as long as they're equal
Answer:
c.their slopes are equal
. Check the given measurements whether it could make a triangle
(a) 7 cm, 2 cm and 5 cm
(b) 10 cm, 12 cm and 14 cm.
Answers
Answer:
They do not make triangles.
Step-by-step explanation:
You automatically know that c is going to be the biggest number of each triangle since it is the largest side. So you would use both of these formulas:
a² + b² = c²
[tex]2^{2}[/tex] + [tex]5^{2}[/tex] = [tex]7^{2}[/tex] which is false
10² + 12² = 14² is false as well
Hope this helps!!
What's the scale factor!!!! Please help
Answers
Answer:
scale factor is 1:4
Step-by-step explanation:
the blue rectangle is 4 times larger than the black one; you can compare coordinates; for example, (4,5) becomes (16,20)
2. It’s time for Ronda to start repaying her student loans, which are amortized over the next 10 years. Her first month’s payment due is $396. How much should she expect to pay next month?
Answers
Based on the amount that she paid in the first month, the amount Ronda will pay for the next month is $396.
When a loan is amortized, it means that one can pay it off by paying the same amount every period until they would have paid off both the loan and the associated interest.
The amortized amount contains:
A portion going towards the principal(debt )A portion going towards the interest accumulated.In conclusion, as the amount is the same every time, Ronda will have to pay the same amount of $396 the next month.
Find out more at https://brainly.com/question/12256592.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answers
Answer:
-2
Step-by-step explanation:
Answer:
D, -2
Step-by-step explanation:
Take a look at the number inside the function "f" which is 2. now know that it is a number you are supposed to substitute in the place of x .. therefore : f(2) = 5(2) - 12 = 10 - 12 = -2.
Help me pleassssssssssssssss
Answers
Answer:
C
Step-by-step explanation:
ALSO THIS KNE HELPLL
Answers
The length of the bottom of the triangle is x. Another side is 2 more than three times the length of the bottom of the triangle the last side is 5 more than the bottom of the triangle write and simplify and expression for the perimeter of the triangle
Answers
Answer:
5×x×2× base× high u see me
Audrey & Jack begin a candlelight
dinner at 5pm with a 9-inch candle. At
8pm, their candle is only 3 inches.
What is the average rate of change of
the height of the candle per hour?
Answers
Answer:
-2 inches per hour
Step-by-step explanation:
Finding the average rate of change is just like finding the slope. So, take the y values (height) and subtract them and divide that by the difference in the x values (time).
( 3 - 9 ) / ( 8 - 5 )
= -6 / 3
= -2 inches per hour
7.802 divided by 2.1
Answers
Answer:
3.715
Step-by-step explanation:
7.802/2.1 = 3.715
=
3.71
David walked for 20 minutes with the speed of 3 mph. How far did he walk?
HELP!!!
Answers
Answer:
1 mile
Step-by-step explanation:
1 hour = 3 miles
20 minutes is 1/3 of an hour, so he walks 1 mile
A deli owner sold 90 sandwiches in one day. Of those sandwiches, 36 were pastrami.
Write and solve an equation to show what percent of sandwiches sold were pastrami.
Drag tiles to complete the equation. Tiles may be used once or not at all.
p • __ = 36
plss help
Answers
Answer:
p · 90 = 36
p = 40%, 0.4, 4/10
Step-by-step explanation:
p · 90 = 36
p = 36/90
p = 4/10
p = 40%, or 0.4
-Chetan k
(simplify)
i will give brainliest if correct
28 ÷ 7 - √9
Answers
Answer:
The answer is 1
Step-by-step explanation:
28:7=4
√9=3
4-3=1
Answer:
1
Step-by-step explanation:
Square root of 9=3
28/7= 4
So 4-3=1
Answer is 1
Hope it is correct