Answers
Answer:
D
Step-by-step explanation:
To find the system of equations that is satisfied by the solution shown on the graph, we will simply need to find the equations of our two lines.
So, we will begin by finding the slope of each line and then proceed to find the entire equation.
Red Line:
To find the slope, we will first pick any two points from the red line.
Two sample points include (-5, 5) and (-4, 6).
The slope formula is given by:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Lett (-5, 5) be (x₁, y₁) and (-4, 6) be (x₂, y₂). Substitute:
[tex]\displaystyle m=\frac{6-5}{-4-(-5)}=\frac{1}{1}=1[/tex]
Hence, the slope of the red line is 1.
Now, we can find the entire equation. We will use the slope-intercept form:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
We know that the slope m is 1. Hence:
[tex]y=x+b[/tex]
We need to find our y-intercept b. For the red line, we know that when x is -5, y is 5. Hence:
[tex](5)=(-5)+b[/tex]
Solving for b yields:
[tex]b=10[/tex]
Therefore, our entire equation is:
[tex]y=x+10[/tex]
Blue Line:
Again, we will find the slope first.
Picking two points, we get (0, 6) and (1, 5).
Using the slope formula by letting (0, 6) be (x₁, y₁) and (1, 5) be (x₂, y₂), we acquire:
[tex]\displaystyle m=\frac{5-6}{1-0}=\frac{-1}{1}=-1[/tex]
Hence, the slope of the blue line is -1.
Again, we can use the slope-intercept form:
[tex]y=mx+b[/tex]
Fortunately, we already know the y-intercept in this case. Since we have the point (0, 6), the y-intercept b is 6.
Therefore, our equation is:
[tex]y=-x+6[/tex]
So, our two equations are:
[tex]y=x+10\text{ and } y=-x+6[/tex]
Our answers are in standard form, so we will convert the two equations to standard form. Standard form is given by:
[tex]Ax+By=C[/tex]
Where A, B, and C are integers and A is positive.
For the first equation, we can subtract x from both sides to get:
[tex]-x+y=10[/tex]
Since A should be positive, we multiply both sides to get:
[tex]x-y=-10[/tex]
For the second equation, we can add x to both sides:
[tex]x+y=6[/tex]
Hence, our two equations in standard form is:
[tex]x+y=6\text{ and } x-y=-10[/tex]
Therefore, our final answer is D.
Answer: D x + y = 6 and x − y = -10
Step-by-step explanation:
Related Questions
find the value of trignomwtric function:
sec330°
Answers
Step-by-step explanation:
sec330°
= 1 / cos330°
= 1 / cos30°
= 1 / (√3/2)
= 2/√3.
Answer:
[tex]\frac{2\sqrt{3} }{3}[/tex]
Step-by-step explanation:
Using the identity
secx = [tex]\frac{1}{cosx}[/tex] and cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sec330°
= [tex]\frac{1}{cos330}[/tex]
= [tex]\frac{1}{cos(360-330)}[/tex]
= [tex]\frac{1}{cos30}[/tex]
= [tex]\frac{1}{\frac{\sqrt{3} }{2} }[/tex]
= [tex]\frac{2}{\sqrt{3} }[/tex] ← rationalise the denominator
= [tex]\frac{2}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex]
= [tex]\frac{2\sqrt{3} }{3}[/tex]
X 2/4/8/10/16
Y 12458
O y= 2 x
O y=1 x
O y=x-1
Oy= x=2
Answers
Answer:
y = 1/2 x
Step-by-step explanation:
Given the table
X 2//4//8//10//16
Y 1//2//4//5//8
We are to find the equation that represent the table
Using the coordinates of x and y components from the table (2, 1) and (4, 2)
The standard expression for the equation is expressed as y = mx+c
m is the slope
c is the y-intercept
Get the slope;
m = y2-y1/x2-x1
m = 2-1/4-2
m = 1/2
Get the intercept c:
Substitute the point (2, 1) and the slope m = 1/2 into the expression y = mx+c
1 = 1/2(2) + c
1 = 1+c
c = 1-1
c = 0
Get the required equation
Recall that: y = mx+c
y = 1/2 x + 0
y = 1/2 x
Hence the required equation is y = 1/2 x
III
Knowledge Check
Rewrite the equation below so that it does not have fractions.
2
3
x + 4 =
4
Do not use decimals in your answer.
Х
+
5
?
Answers
Answer:
[tex]9x- 60=10[/tex]
Step-by-step explanation:
Given
[tex]\frac{3}{4}x - 5 = \frac{5}{6}[/tex]
Required
Rewrite to remove fractions
The denominators in the above expression are 4 and 6.
So, first we take the LCM of 4 and 6
[tex]LCM = 12[/tex]
Next, multiply both sides of the equation by this LCM (12)
[tex]12 ( \frac{3}{4}x - 5) = \frac{5}{6} * 12[/tex]
[tex]12 * \frac{3}{4}x - 12 *5 = \frac{5}{6} * 12[/tex]
[tex]3 * 3x- 60=5 * 2[/tex]
[tex]9x- 60=10[/tex]
Explain how you would trace an argument. (1 point)
A. You would trace an argument by seeing if the reasons and evidence are
relevant in their support of the claim.
B. You would trace an argument by determining if the claim is true based on
the writer's different opinions.
C. You would trace an argument by seeing if the counterclaim provides
enough evidence and support for the topic.
D. You would trace an argument by deciding if
you agree with the stance that
the writer chose for the topic.
Answers
Answer:
A. You would trace an argument by seeing if the reasons and evidence are relevant in their support of the claim.
Step-by-step explanation:
The tracing of an argument should be seen when the reasons & evidence should be relevant for supporting the claim.
The following information should not be considered:
When the claim is true and depend upon the different writer opinion. When there is counterclaim and it gives sufficient evidence.When the writer choose for the topic.Therefore we can conclude that the first option is correct.
Learn more: brainly.com/question/17429689
write at equation for the line that is perpendicular to the given line and that contains the given point
y=-1/3x + 5 ; (2,5)
Answers
Answer:
y=3x-1
Step-by-step explanation:
Convert -1/3 to 3, since its perpendicular. then plug (2,5) for y=3x+b. The answer should be y=3x-1
What is the measure of BCD?
Enter your answer in the box.
the measure of BCD = [ ]
Answers
Answer: 77
Took the test :)
how do i graph the following X=4
Answers
Answer:
Impossible you can’t
Step-by-step explanation:
A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of x , the time in minutes.
Which answer choice best describes the domain and range of the function for this situation?
Answers
Answer:
Step-by-step explanation: the answer is c
craig went to the store yesterday. he bought a pack of ice cream for $0.98, bottle of soda for $1.19, and a lunchable for $4.89. How much money did he spend altogether? Show work don't forget label
Answers
Answer: $7.06
Step-by-step explanation:
$0.98 + $1.19 + $4.89 = $7.06
can someone help me fast please
Answers
Answer:
2.5/10 = 0.25 cents per ounce
i need help on My homework help me
Answers
Answer:
x = 18
Step-by-step explanation:
1/2 x - 7 = 1/3 (x - 12) Remove the brackets on the right
1/2x - 7 = 1/3 x - 12*1/3
1/2x - 7 = 1/3 x - 4 Subtract 1/3 x from both sides
1/2x - 1/3x - 7 = - 4 Combine like terms on the left
1/6x - 7 = - 4 Add 7 to both sides
1/6 x = - 4 + 7 Combine the right side
1/6 x = 3 Multiply both sides by 6
6 * 1/6x = 3*6
x = 18
Solve for x to make the proportion true.
*
22
44
6
X =
Answers
help? I need a answer
Answers
Hope this is correct. If not sorry. Good luck and have a great day! :)
Spammers will be reported!
Solution needed with a fair explanation
Answers
Answer: c. 0.40396
Step-by-step explanation:
The total number of flaws is given by:
[tex]{\left({0}\times{4}\right)}+{\left({1}\times{3}\right)}(0\times4)+(1\times3) +{\left({2}\times{5}\right)}+{\left({3}\times{2}\right)}+(2\times5)+(3\times2) +{\left({4}\times{4}\right)}+{\left({5}\times{1}\right)}+(4\times4)+(5\times1) +{\left({6}\times{1}\right)}+(6\times1)={46}=46[/tex]
Average number of flaws for the 20 sheets : [tex]\displaystyle\mu=\frac{46}{{20}}={2.3}[/tex]
Required probability : [tex]=P(X\geq3)=1-P(X<3)[/tex]
[tex]=1-[P(X=0)+P(X=1)+P(X=2)][/tex]
[tex]=1-(\dfrac{e^{-2.3}2.3^0}{0!}+\dfrac{e^{-2.3}2.3^1}{1!}+\dfrac{e^{-2.3}2.3^2}{2!})\ \ \ [\text{Poisson distribution formula: }P(X=x)=\dfrac{e^{-\mu}\mu^x}{x!}]\\\\=1-0.596038825932=0.403961174068\approx0.40396[/tex]
Hence, c. is the correct option.
The first person to answer my questions wins a brainlist IF THERE RIGHT. alright
I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?
This riddle relies on tricking you into thinking about ears and a mouth. You get a tiny hint about wind to encourage you to think broadly and avoid the literal.
Answers
Answer:
An Echo
Step-by-step explanation:
Howdy! Is there someone who can help me on questions 1-3 please?
Answers
Answer:
1. Reflection across the y-axis
2. ΔXYZ = ΔABC
3.
∠A =∠X
∠B =∠Y
∠C =∠Z
AB = XY
BC = YZ
AC = XZ
1. Reflection across the y-axis
2. ∆XYZ ~= AABC
3.
angleA=angleX
angleB=angleY
angleC=angleZ
ZAB = XY
ZAB = XYBC = YZ
ZAB = XYBC = YZAC = XZ
Find the slope-intercept equation of the line that
passes through (0,4) and has a slope of 1.
Answers
Answer:
y = 1x + 4
Step-by-step explanation:
Gives you anything you need. It gives you the slope and the y intercept 4.
Which is a perfect square?
Answers
Answer:
I can't see anything
A perfect square is the product of a rational number multiplied by itself.
Examples: 20 square numbers are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361 and 400.
Hope this helps
someone help plzzz zz z
Answers
Answer:
B
Step-by-step explanation:
Use the geometric mean (altitude) theorem. What is the
value of m?
4
2 √7
4 √10
160
Answers
Answer:4 10
Step-by-step explanation:
Answer:4 √10
Step-by-step explanation:
edgy
A garden is in the shape of a square with a perimeter of 36 36 feet. The garden is surrounded by two fences. One fence is around the perimeter of the garden, whereas the second fence is 3 3 feet from the first fence on the outside. If the material used to build the two fences is $ 1.32 $1.32 per foot, what was the total cost of the fences
Answers
Answer:
$110.88
Step-by-step explanation:
Let L be the length of the first fence surrounding the garden and P its perimeter.
For a square, P = 4L,
So, L = P/4
Since P = 36 feet,
L = P/4
= 36/4
= 9 feet
Let L' be the length of the second fence. Given that second fence is 3 feet away from the first fence, it follows that L' = L + 3
= 9 + 3
= 12 feet.
So, the perimeter of the second fence is P' = 4L'
= 4 × 12 feet
= 48 feet.
So, the total length of the two fences is P" = P + P'
= 36 feet + 48 feet
= 84 feet
Since the cost of the material to build the two fences is $1.32 per foot, the total cost of the fences is cost per foot × total length of fences = $1.32 × 84 = $110.88
find the slope of each line
5. y= -2x+5. 6. 3x+6y=12
Answers
Answer:
5. Slope = -2x
(Full system: y = -2x + 5)
6. Slope = -1/2x
(Full system: y = -1/2 +6)
Find the rate of change for the set of data provided in the image below.
Forearm: 14, 15
Foot: 14, 16
A. 2/3
B. 3/2
C. 3
D. 2
Answers
Answer:
D should be the answer!
y varies inversely with x. If x = 5 and y= 1 what is x if y = 0.5
Type your answer..
Answers
X=2.5
Step-by-step explanation:
0.5=1/2
5/2 = 2.5
p l e a s e h e l p a s a p:) will mark brainliest and answer any q if correct:))
Answers
Answer:
last one
Step-by-step explanation:
I WILL GIVE BRAINLEST
Mark sold candles for three weeks. Let x represent the number of candles he sold
the first week. He sold twice the number of candles the second week as he did the
first week. In the third week, Mark sold 4 less than the number he sold the first
week. Which expression represents the total number of candles Mark sold in the
three weeks?
A.2x – 4
B.3x + 4
C.3x – 4
D.4x – 4
Plzssss SHOW YOUR WORK PLZSSS
Answers
Answer:
D
Step-by-step explanation:
If x is the first week, and he sold twice the amount so this could be represented as 1x (the first week) plus 2x (the second week since its twice the amount of the first week) and the third week can be represented as 1x-4 since its the same amount of candles sold minus 4. If you add them all together you get 1x+2x+1x-4. if you add like terms you get 4x-4. Hope this helps :)
Hem dibuixat tres rectangles. En el primer, la llargada mesura 3 cm més que l'amplada. El segon i tercer rectangle tenen unes dimensions augmentades, respectivament, en 1 cm i 2 cm respecte de les dimensions del primer. Si la suma dels tres perímetres és de 162 cm, quines són les dimensions de cada rectangle?
Answers
Resposta:
Primer rectangle:
Amplada = 11
Longitud = 14
Segon rectangle:
Amplada = 12
Longitud = 15
Tercer rectangle:
Amplada = 13
Longitud = 16
Explicació pas a pas:
Donat que:
Primer rectangle:
Amplada = x
Longitud = x + 3
2n rectangle:
Augment de la dimensió d'1 cm respecte al primer rectangle;
Amplada = x + 1
Longitud = x + 4
3r rectangle:
Augment de la dimensió de 2 cm respecte al primer rectangle;
Amplada = x + 2
Longitud = x + 5
Suma dels tres perímetres del rectangle:
Perímetre d'un rectangle: 2 (l + O)
Primer rectangle:
2 (x + x + 3) = 2 (2x + 3) = 4x + 6
2n:
2 (x + 1 + x + 4) = 2 (2x + 5) = 4x + 10
3r:
2 (x + 2 + x + 5) = 2 (2x + 7) = 4x + 14
Suma de perímetres = 162
(4x + 6 + 4x + 10 + 4x + 14) = 162
12x + 30 = 162
12x = 162 - 30
12x = 130
x = 11
Per tant,
Primer rectangle:
Amplada = 11
Longitud = 11 + 3 = 14
2n rectangle:
Amplada = 11 + 1 = 12
Longitud = 11 + 4 = 15
3r rectangle:
Amplada = 11 + 2 = 13
Longitud = 11 + 5 = 16
Determine whether the relation is a function.
Answers
Which of the following relations is a function?
OA. (2,0), (-5,3), (5, 1), (-5,5)
B. (2, 4), (-5, 2), (5, 1), (-8, 2)
OC.
(2,4), (-5, 6), (2, 3), (-8, 2)
D. (5, 1), (-5, 4), (2, 1), (5,2)
Answers
Answer:
D.(5,1),(-5,4),(2,1),(5,2)
please i need this done in an hour