Analyze the solution set of the following system by
following the given steps.
2x + y = 5
3y = 9 - 6x
Write each equation in slope-intercept form.
y =
y =
VE +
X +
DONE
For
Answers
Answer:
The equations in the slope-intercept form
y = - 2 x + 5
y = - 2 x + 3
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
m is the slope of the line.b is the y-intercept.To put any equation in the slope-intercept form state y on the left side, x and the numerical term on the right side, the coefficient of y must be 1.
Let us do that with the given equations
∵ 2x + y = 5
→ Subtract 2x from both sides to move x to the right sides
∴ 2x - 2x + y = 5 - 2x
∴ y = 5 - 2x
→ Switch 5 and - 2x
∴ y = - 2x + 5
∵ 3y = 9 - 6x
→ Divide each term by 3 to make the coefficient of y = 1
∴ [tex]\frac{3y}{3}=\frac{9}{3}-\frac{6x}{3}[/tex]
∴ y = 3 - 2x
→ Switch 3 and - 2x
∴ y = - 2x + 3
The equations in the slope-intercept form
y = - 2x + 5
y = - 2x + 3
Answer:
Write each equation in slope-intercept form.
y = -2x + 5
y = -2x + 3
What do the equations have in common? How are they different?
- The slopes are the same.
- The y-intercepts are different.
The system represents lines that (are parallel),
therefore the system has no solution.
Related Questions
lines p and q are intersecting by line r. If m<1=7x-36 and m<2=5x+12, for which value of x would p||q
a.17
b.24
c.83
d.97
Answers
The value of x for the two corresponding angles will be 24.
What are corresponding angles?Any pair of angles that are both on the same side of the transversal and of one of the two lines that it cuts. The two corresponding angles are always equal to each other.
The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
Given that the two angles are 7x - 36 and 5x + 12. The value of x will be calculated as:-
7x - 36 = 5x + 12
7x - 5x = 12 + 36
2x = 48
x = 24
Therefore, the value of x for the two corresponding angles will be 24.
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A steel ball whose mass is 2.0 kg is rolling at a rate of 2.8 m/s. What is its momentum?
1) 1.4 kgm/s
2) .71 kgm/s
3) 5.6 kgm/s
4) 4.8 kgm/s
Answers
Answer:
mxv
Step-by-step explanation:
2.0x2.8=5.6
momentums equation is mass times velocity so 2.0kg is the mass and you multiply it by the velocity which is 2.8m/s and that is how you get your answer. your answer is number 3
Let $H$ be the orthocenter of the equilateral triangle $\triangle ABC$. We know the distance between the orthocenters of $\triangle AHC$ and $\triangle BHC$ is $12$. What is the distance between the circumcenters of $\triangle AHC$ and $\triangle BHC$?
Answers
Answer: what grade are you in
Step-by-step explanation:
The distance between the circumcenters of Triangle AHC and Triangle BHC is 6.
Given that,
Let H be the orthocenter of the equilateral triangle.
The distance between the orthocenters of triangle AHC and triangle BHC is 12.
We have to find,
What is the distance between the circumcenters of Triangle AHC and Triangle BHC?
According to the question,
Here, H is the Orthocenter of the equilateral triangle.
And the distance between the orthocenters of triangle AHC and triangle BHC is 12.
By the relation between the orthocenter and circumcenter are always collinear.
Centroid divided the line joining orthocenter and circumcenter in the ratio 2;1.
Therefore,
The distance between the circumcenters of Triangle AHC and Triangle BHC is,
[tex]\rm Circumcenter = \dfrac{1}{2} \times Orthocenter\\\\ Circumcenter = \dfrac{1}{2} \times 12 \\\\ Circumcenter = 1 \times 6 \\\\ Circumcenter = 6[/tex]
Hence, The distance between the circumcenters of Triangle AHC and Triangle BHC is 6.
For more details refer to the link given below.
https://brainly.com/question/19763099
Four times a number, minus six, is eight.
4(z - 6) = 8
4z - 6 = 8
6 - 4z = 8
4(6 - z) = 8
Answers
Evaluate 1/6 + 2/3. Can you please explain how you got your answer?
A. 3/18
B. 5/6
C. 1/5
D. 1 1/6
Answers
Answer:
5/6
Step-by-step explanation:
1/6 + 2/3
Get a common denominator of 6
1/6 + 2/3 *2/2
1/6 + 4/6
Add the numerators
5/6
Answer:
B
Step-by-step explanation:
1. Get the common denominator
2 × 2 = 4
_______ = (4/6)
3 × 2 = 6
(4/6)+(1/6)= 5/6
I need help fast please and thank you I'll mark you brain list
Answers
Answer:
A and B are true statementsStep-by-step explanation:
A. 2^8 × 2^9 = 2^(8+9) = 2^17 ⇒ TRUEB. 8^2 × 9^2 = (8×9)^2 = 72^2 ⇒ TRUEC. 8^2 × 9^2 = 72^2 ≠ 74^2 ⇒ FALSED. 2^8 × 2^9 = 2^17 ≠ 4^17 ⇒ FALSEA mechanic used 49 quarts of oil to change the oil in 7 cars. At this rate, how much oil would he use to change ths oil in 17 cars
Answers
Answer:
139 quarts
Step-by-step explanation:
Answer:
The mechanic would use 139 quarts for the 17 cars.
Shaun is saving for a new mountain bike. Each week he deposits $50 into his savings account. How much will Shaun have saved after 7 weeks?
Answers
Answer:
$350
Step-by-step explanation:
50 x 7 = 350
Which of the following is an equation of the line through (2, 3) and (-1, -12)?
Answers
Answer:
y = 5x - 7
Step-by-step explanation:
First point coordinates
x₁
2
y₁
3
Second point coordinates
x₂
-1
y₂
-12
Result
Slope (m)
5
m = -15 / -3 = -5 / -1 = 5
Your function
The entered points belong to an increasing, linear function.
Equation: y = 5x - 7.
Hope i helped :)
If f(x) = x + 4
What is f(-3)?
Answers
Answer:
f(-3) = 1
Step-by-step explanation:
f(x) = x + 4
Let x= -3
f(-3) = -3 + 4
=1
Answer:
1
Step-by-step explanation:
1.Point E is the midpoint. Find EF. *
2.What is the value of x?
3.Point B is between A and C. If AC = 40, what is BC?
4.Point K is between J and L. If JL = 162, what is JK?
Answers
Step-by-step explanation:
Since, Point E is the midpoint of DF
Therefore,
DE = EF
10x = 4x + 12
10x - 4x = 12
6x = 12
x = 12/6
x = 2
EF = 4x + 12 = 4*2+12 = 8 * 12 = 20
EF = 20
AB = BC
6x + 2 = 9x - 10
10 + 2 = 9x - 6x
12 = 3x
12/3 = x
x = 4
BC = 9x - 10 = 9*4 - 10 = 36 - 10 = 26
Please assist me in my time of need.
Answers
Answer:
I shall assist thee.
Step-by-step explanation:
Being me, I would say the answer is A. or B. But i'd prolly go with A tbh.
And oofers on me if this ain't what you need.
Which equation represents a line which is parallel to y=0?
y=6
x=-5
y=x
y=x-1
Answers
The correct equation is D
whats the quotient of 36 and 6
Answers
Answer:6
Step-by-step explanation: 36/6 is 6
SKSKSKSKKSKSKSKSKSKSKSKS
Answers
Answer:
hydroflask :P
Hm. If p is true, then q is true, if p is false, than q is false.
So, the inverse must be true.
The converse doesn't have to be true at all, and same with the contrapositive if I'm correct.
Pretty sure it's just the inverse. :)
(please comment if I'm wrong! I'll be happy to learn!)
A local carpenter uses the function y=180x to determine the amount earned, y, for each bookcase sold. He has to sell between 5 and 10 bookcases each month in order to meet his sales goals. What is the Domain and what is the range ?
Answers
Answer:
ask google they have all the answers :)
When it rains I get tired. It's raining today. I'm going to take a nap.
Which law of logic is used to make the conclusion?
Law of Detachment
None of the above
Law of Contrapositive
Law of Detachment
PLEASE HELP
Answers
Answer:
None of the Above
Step-by-step explanation:
Hope this helps
The system of equations shown is graphed in the xy−plane.
x+y=1
3x+2y=18
Answers
Answer:
x=16 while y=-15
Step-by-step explanation:
you solve as simultaneous equation and using a substitution method
$27,200 at 9% compounded annually for 2 years
Answers
Answer:
A = $32316.30
Step-by-step explanation:
Simple Interest Rate Formula: A = P(1 + r)ⁿ
Step 1: Define variables
Principal amount P = 27200
Rate r = 9% or 0.09
Number of years n = 2 years
Step 2: Substitute and Evaluate for A
A = 27200(1 + 0.09)²
A = 27200(1.09)²
A = 27200(1.1881)
A = 32316.30
98: 63: 14 in simplest form
PLEASE ANSWER IN A FULL EXPLANATION AND YOU WILL GET BRAINLEST : )
Answers
Answer:
14 : 9 : 2
Step-by-step explanation:
To simplify a ratio, you find the highest common factor in all these numbers.
The highest common factor is 7.
Hence:
98/7 = 14
63/7 = 9
14/2 = 7
Therefore: 14 : 9 : 2
I'm not sure how to write a function rule for this. Can anyone help?
Answers
Answer:
(X•2)+1=y
Step-by-step explanation:
the • is multipication
If angles are congruent, solve by setting expressions equal to each other.
True
False
Answers
A deep sea diver is 95 feet below sea level. A seagull is flying 8 feet above sea level. What integer represents the diver's location?
Answers
Answer:-95, I think
Step-by-step explanation:
Step-by-step explanation:
95 is your answer siso
hope you loved it
Two interior angles of a scalene triangle measure 45 and 110 degrees. The third angle measures:
Answers
Answer:
25º
Step-by-step explanation:
110+45=155
180-155=25
What is the value of x in the equation x3=27125 ?
Answers
Answer:
x = 30.0462
Step-by-step explanation:
Divide each side by 3 to cancel out the 3 next to x. It should now look like this: x = 30.0462I hope this helps!
The value of x in the equation x³=27125 is equal to 30.04.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression will be solved as:-
x³=27125
Take the cube root of the number 27125 to calculate the value of x.
x = ∛27125
x = 30.04
Therefore, the value of x in the equation x³=27125 is equal to 30.04.
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what is the value of x 5x + 8
Answers
Answer:
2.3 is your answer sry if wrong
Step-by-step explanation:
Answer:
x=-3
Step-by-step explanation:
HURRYYYYY PLEASEEEEEEEEE
Answers
Answer: x would be 36°
Step-by-step explanation:
Answer:
m<1 = 108°
m<2 = 72°
Step-by-step explanation:
I hope it helped u:)
Solve for x. 7 + 11x + 60 = -13 + 3x
Answers
Answer:
x = -10
Step-by-step explanation:
Step 1: Write equation
7 + 11x + 60 = -13 + 3x
Step 2: Solve for x
Combine like terms: 11x + 67 = -13 + 3xSubtract 3x on both sides: 8x + 67 = -13Subtract 67 on both sides: 8x = -80Divide both sides by 8: x = -10Step 3: Check
Plug in x to verify it's a solution.
7 + 11(-10) + 60 = -13 + 3(-10)
67 - 110 = -13 - 30
-43 = -43
PLS HELP
What is the solution to 5/4*-1/3> 1 1/3?
OX> 25/18
O x< 25/18
O x > 2
O x < 2
Answers
Answer:
x<25/18 tis is d real anwer
Answer:
the answer is d because its makes the 5/6 turn into 10/6 or 1 4/6 or 1 2/3
Convert the values below into fractions.
Answers
Answer:
0.35= 7/20
27% = 27/100
1.6= 1 3/5
15%= 3/20
Step-by-step explanation:
