how to find intersection from -8x+3y=11 and y=3x+4
Answers
Answer:
(-1,1)
Step-by-step explanation:
To find where both lines intersect, solve for x and y with substitution.
Equation 1.
-8x+3y=11
Equation 2.
y=3x+4
Substitute y from equation 2 into equation 1.
-8x+3(3x+4)=11
-8x+9x+12=11
x=-1
Now plug x into the second equation to solve for y.
y=3(-1)+4
y=-3+4
y=1
Both lines intersect at (-1,1)
Answer:
(-1, 1)
Step-by-step explanation:
It's somewhat difficult to find the point of intersection when graphing these by hand, but a graphing calculator can show it easily.
The lines intersect at (-1, 1).
__
You are given an expression for y, which makes it easy to use substitution as a solution method. Using the second equation to substitute for y in the first equation, we get ...
-8x +3(3x +4) = 11
x +12 = 11 . . . . simplify
x = -1 . . . . . . . subtract 12
Substituting back into the second equation, we find y to be ...
y = 3(-1) +4 = 1
The lines intersect at (x, y) = (-1, 1).
_____
Additional comment
The slopes are 8/3 and 3. When hand-drawn lines have nearly the same slope, it is difficult to tell exactly where they intersect. Of course, a graphing calculator does not have the problem of finite line width and an apparent long region of intersection. It can pinpoint the intersection exactly.
Of course, "substitution" is not the only way this system of equations can be solved. However, for this system, it is one of the easiest when doing the solution by hand.
Related Questions
Roman has 2 red pencils in his backpack if this is 25% of the total number pencils how many pencils are in his backpack
Answers
Answer:
8 pencils
Step-by-step explanation:
if 2 red pencils are 25% of his number of pencils then multiply 2 by 4
because 25x4=100
so 2x4=8
Roman has 8 pencils in his bag
2x4= 8
Roman has 8 pencils
If a track is 400 meters around, how many laps around the track would it take to run 3.1 miles? Round to the nearest tenth. (Hint: 1 foot = 0.3048 meter) WRITE THE DIMENSIONAL ANALYSIS!!!!!!!!!!!!
Answers
Answer:
3200 meters
Step-by-step explanation:
because it is
Conversion of units is the conversion of one unit to another unit by the process of multiplication or division.
The number of laps around the track to run for 3.1 miles is 12.5.
What is unit conversion?Conversion of units is the conversion of one unit to another unit by the process of multiplication or division.
We have,
The track length = 400 meters
One lap = 400 meters.
We have,
3.1 miles
1 foot = 0.3048 meter ____ (1)
We know that,
[ 1 mile = 5280 foot ]
So,
3.1 miles = 3.1 x 5280 foot
3.1 miles = 16368 foot
From (1),
3.1 miles = 16368 x 0.3048 meter = 4988.9664 meters
Now,
Since 400 meters is one slap.
The number of laps in 4988.9664:
Divide 4988.9664 by 400
= 4988.9664 / 400
= 12.47
Rounding to the nearest tenth.
= 12.5
Thus the number of laps around the track to run for 3.1 miles is 12.5.
Learn more about unit conversion here:
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I NEED HELP PLEASE SHOW WORK ON A PIC
Answers
As per question
We shall proceed in graphical way
2x+4y≥8x+2y≥4--(1)And
x-4y<6--(2)Graph attached
A squid is 42 3/4 feet below rhe surfaceof the ocean. A seagull is 12 1/2 feet above the surface. What is the distance between the squid and the seagull?
Answers
Answer: 55 1/4
Step-by-step explanation: If a squid is 42 3/4 feet below the surface of the ocean and a seagull is 12 1/2 feet above the surface of the ocean, you would need to add together 42 3/4 and 12 1/2, to get your answer which is 55 1/4.
42 3/4 + 12 1/2 = 55 1/4
Suppose you know the area of the yard is 7,500 square feet. How can you find the value of a?
—help and it comes with a picture
Answers
Answer:
a = 50
Step-by-step explanation:
From the introduction, you know that the area is 3a^2
You also know that it is 7500 square feet. \
So the two must be equal
3a^2 = 7500 Divide by 3
a^2 = 7500/3
a^2 = 2500
The square root of 2500 is 50
sqrt(a^2) = sqrt(2500)
a = 50
if -5 is less than 0 what is the opposite of -5?
A. 0
B. 8
C. 5
D. 25
Answers
Answer: opposite of -5 is positive 5 so it’s choice C
Answer:
it’s choice C
Step-by-step explanation: hope this helps bestie
I really need help pls!!!
Answers
Answer:
Option 1
Step-by-step explanation:
To find the slope divide Mass (y) by Volume (x)
PLEASE I AM IN DESPERATE NEED OF HELP
Answers
If f(x)=3x+2 and g(x)=x2−x, find the value. f(x)+1
Answers
Answer:
F(x) +1 = 3x+3
Step-by-step explanation:
F(x)+1= 3x+3
The Truth Table Represents Statement P,Q,R
Which statement is true for rows A, C and E
R—> (p^q)
R—>(p v q)
(q^r)—>p
(q v r) —>p
Answers
Recall that a ⇒ b ≡ ¬a ∨ b.
• r ⇒ (p ∧ q) ≡ ¬r ∨ (p ∧ q)
In row C, q is false so p ∧ q false, and r is true so ¬r is false.
¬r ∨ (p ∧ q) ≡ false ∨ false ≡ false
• r ⇒ (p ∨ q) ≡ ¬r ∨ (p ∨ q) = p ∨ q ∨ ¬r
In each of rows A, C, and E, at least one of p or q is true, so
p ∨ q ∨ ¬r = true
• (q ∧ r) ⇒ p ≡ ¬(q ∧ r) ∨ p ≡ (¬q ∨ ¬ r) ∨ p = p ∨ ¬q ∨ ¬r
In row E, p is false and both q and r are true, so ¬q and ¬r are both false.
false ∨ false ∨ false = false
• (q ∨ r) ⇒ p ≡ ¬(q ∨ r) ∨ p ≡ (¬q ∧ ¬r) ∨ p
In row E, p is false and both q and r are true, so both ¬q and ¬r are false.
(¬q ∧ ¬r) ∨ p ≡ (false ∧ false) ∨ false ≡ false ∨ false ≡ false
What are the advantages of using a table to find equivalent ratios?
What are the advantages of using a graph to find equivalent ratios?
Explain why you prefer a table or a graph to compare equivalent ratios.
Answers
The advantage of using a table to determine the equivalent ratio is that, it easier to determine the unknown ratio.
The advantage of using a graph to determine the equivalent ratio is that, it helps to determine the exact value of the unknown ratio.
The use of table to find equivalent ratio makes it easier to determine the unknown ratio. The unknown ratio can easily be determined using interpolation method, this method gives the approximate value of the unknown ratio.
The use of graph to find equivalent ratio helps to determine the exact value of the unknown ratio. This method gives the exact value of the unknown ratio.
The use of table is better because it minimizes error from tracing the values from the graph.
Learn more about equivalent ratio here: https://brainly.com/question/13513438
If you have a book to read that is 20 pages, and you have read 15% of the book, how many pages as you read?
Answers
Answer:
you would of read 3 pages
Step-by-step explanation:
hey hey u guyss 60 pointsss
-6.1(-4.1) +6.8=
btw hurry im timed plss :)
Answers
Answer:
31.81
Step-by-step explanation:
-6.1 * -4.1 = 25.01
+ 6.8 = 31.81
Answer:
31.8
Step-by-step explanation:
I will assume that
"-6.1(-4.1) +6.8="
means (-6.1)*(-4.1) +6.8=
(-6.1)*(-4.1) = 25
25 + 6.8 = 31.8
A ____ has a positive charge.
Answers
Answer:
Proton
Step-by-step explanation:
The charge on the proton and electron are exactly the same size but opposite. Neutrons have no charge. Since opposite charges attract, protons and electrons attract each other.
Hope this helps you luv!
What integer $x$ satisfies $\frac{1}{4}<\frac{x}{7}<\frac{1}{3}$?
Answers
If 1/4 < x/7 < 1/3, then
7/4 < x < 7/3
1.75 < x < 2.333…
so that x = 2.
5i/x-5i what is the simplest form?
Answers
51/x - 5i
this is the answerrrr
A. Gregorio has to make 84 cookies for scout
camp. How many dozen cookies is that?
Answers
Answer:
7 dozen cookies
Step-by-step explanation:
12 cookies are in a dozen, 84 / 2
A light bulb can be at most 50 watts to be safely used in this light fixture
Answers
Help??
Trying to find g
1/3(g-3)=3
Answers
Answer:
g = 12
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] (g - 3) = 3 ← multiply both sides by 3 to clear the fraction
g - 3 = 9 ( add 3 to both sides )
g = 12
A line passes through the point (9,5) and
has a slope of 1/3 Write an equation of the line in
slope-intercept form
Answers
Answer:
Answer: y=1/3x-6
Bro this is so hard
Answers
Answer:
c = 50 degrees and d = 30 degrees
Answer:
C = 80 degrees
D = 30 degrees
Step-by-step explanation:
To find the angle of C you have to add the other angles of that triangle. The total angle of a triangle is 180 degrees.
50 + 30 = 80
Subtracted 80 from 180 to get the other missing angle next to angle c. That is 100. A straight line is 180 degrees so you get 80 degrees for angle C.
To find the angle of D you add angle C, which is 80, to the 100 degree angle and get 180. The total degrees for a four-sided shape is 360 degrees. Then you try to figure out the other missing angle next to the 30-degree angle. A straight line is 180 degrees so subtract 30 from 180 to get the value of the missing angle.
180 - 30 = 150
Add the 180 degrees from earlier to 150 and you get 330. Subtract 330 from 360 and you get 30 degrees. Therefore the angle for d is 30 degrees.
Allison buys some cloud storage for her files. On average, she adds files that take up 2 megabytes each day. After 64 days, she has 96 megabytes of memory remaining in the cloud.
Determine the equation, in slope-intercept form, of the line that represents the amount of memory remaining after xecks days.
Answers
Answer:
the answer would be a because i had this exact question on ed2020, i think i remember it being A.
Step-by-step explanation:
3 How is the value of 2 - 3 like the value of 3 - 2? How is it different? -
Answers
Answer:
They are not diffrent at all. may look diffrent from the question but lets look a little closer!
Step-by-step explanation:
2-3=1 and 3-2=1 both answers look the same because the equion is Both 3s in 3-2 and 2-3 looks no diffrent. To be honest one is only backwords from the other one! But remeber to think BIG and look at those diffrentses.
can someone help me with this
Answers
Answer:
Step-by-step explanation:
Complete the sentence.
Forty-five percent of 120 is
.
Answers
Answer:
54
Step-by-step explanation:
45% * 120 = 54
Find the hypotenuse of an isosceles right triangle when the legs each measure 3 square root of 2 inches.
Answers
Answer:
12
Step-by-step explanation:
3 square root of 2 equals 12
If you could please help, what is the missing answer?
Thank you to anyone who helps out!
Answers
Answer:
48
Step-by-step explanation:
let s be the snowman, g be the girl, and t be the christmas tree
2s+g=24
2t+2ts=132
3t+2g=26
subtract 2 times the first equation from the third one to get
3t-4s=-22
from the second equation we can deduce
2t(1+s)=132
t(1+s)=66
t=66/(1+s)
Substitute:
3(66)/(1+s)-4s=-22
3(66)/(1+s)=4s-22
3(66)=(4s-22)(1+s)
3(66)=-18s+4s^2-22
4s^2-18s-220=0
using the quadratic formula, we get s = 10, s = -5.5.
2(10)+g=24
g=4
2t(1+10)=132
2t=12
t=6
So 2s+t*g= 20+6*4=48
you would get a different solution for the negative s, but since snowmen cannot be negative, 48 is the answe.r
Find the center and radius of the circle x^2+y^2-10x-12y+45=0.
Answers
Answer:
The center is (5, -6) with a radius of r
Step-by-step explanation:
First put the equation in Standard Form for a circle:
(x + a)² + (y + b)² = r²
Now, Group the term
x² + y² - 10x - 12y + 45 = 0
x² - 10x + y² - 12y = - 45
Then, The x and y terms must be perfect squares
x² - 10x + 25 + y² - 12y + 36 = - 45 + 25 + 36
add constant both sides we get,
x² - 10x + 25 + y² - 12y + 36 = 16
Now, Simplify
(x - 5)² + (y + 6)² = 16
√(x - 5)² + (y + 6)² = √16
x - 5 + y + 6 = 4
Here, (a,b) = (5, -6) and r² = 16, with r = 4
Thus, The center is (5, -6) with a radius of r
-TheUnknownScientist 72
Determine if the two triangles are congruent. If so, select the appropriate congruence postulate. If not, select the reason why.
Answers
Answer:
Asa
Step-by-step explanation:
Because if u look left to right on one triangle there is a angle and in between they have a com on line and on the right theres another angle so There for it’s angle side angle
What is 68 million squared.
Answers
Answer:
4.624e+15
Step-by-step explanation:
I think this is the correct answer may be wrong
Answer:
4.761e+15
Step-by-step explanation: