Answer:
C: The Same Line
Step-by-step explanation:
So to start we need to first know what makes lines parallel or perpendicular. Two parallel lines will have the same slope, but different y-intercepts because we know they never cross. Two perpendicular lines will have opposite-reciprocal slopes, because we know that they intersect at a right angle.
Then, we need to know the slope-intercept form of an equation. The slope intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y-intercept. We can see that neither equation is in this form, so we have to convert it.
Starting with the first, (I assume despite the typo) we have [tex]25y+10x= 200[/tex]
So we need to isolate the [tex]y[/tex] from everything else.
First, we'll subtract [tex]10x[/tex] from both sides of the equal sign to get [tex]25y=-10x+200[/tex]
Second, we'll divide both sides by [tex]25[/tex] to get [tex]y=-\frac{2}{5} x+8[/tex]
This means that [tex]-\frac{2}{5}[/tex] is the slope and [tex]8[/tex] is the y-intercept of the first line.
Now onto the second we have [tex]5y+2x=40[/tex] so we're going to follow the same steps to isolate [tex]y[/tex].
First, we'll subtract [tex]2x[/tex] from both sides to get [tex]5y=-2x+40[/tex]
Second, we'll divide both sides by [tex]5[/tex] to get [tex]y=-\frac{2}{5}x +8[/tex]
This means that [tex]-\frac{2}{5}[/tex] is the slope and [tex]8[/tex] is the y-intercept of the second line.
Since both of the lines have a slope [tex]-\frac{2}{5}[/tex] we know that they are parallel, so we need to check to check if they're the same by looking at the y-intercept. We can see that [tex]8[/tex] is the y-intercept of both lines, so they would be the same line.
An office printer prints 25 photos in 12.5 minutes. A home printer prints 15 photos in 6 minutes. Which printer is faster?How many more photos can you print in 12 minutes using the faster printer?
Answer: The answer is that the office printer prints faster and it can print 30 photos in 15 minutes.
Step-by-step explanation:
I know this ain't wrong for a fact.
One hundred minus
six times x is equal to
twenty-seven
What is algebraic expression?
Answer:
100 - 6x = 27
Step-by-step explanation:
Jed drives 60 miles from Trenton, New Jersey, to Newark, New Jersey. About how many kilometers is that?
(1 mile ≈ 1.6 kilometers)
96. Explanation: you have to multiply 1.6 by 60.
Write a decimal equivalent to 9/20 (15 points)
PLEASE PLEASE PLEASE HELP ME Which of these lines has a slope of -3?
The equation of the line showing the slope of -3 is represented by the fourth graph in the image. The correct option is D.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
The line is passing through the points ( 0,0) and (1,-3). The slope of the line is calculated by using the formula below:-
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( -3 -0 ) / ( 1 - 0 )
Slope = -3
Therefore, the equation of the line showing the slope of -3 is represented by the fourth graph in the image. The correct option is D.
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Write the function in vertex form. y=x^2+5x-9
Answer:
The function in the vertex form is y = (x + 2.5)² - 15.25
Step-by-step explanation:
The vertex form of the quadratic function y = ax² + bx + c is:
y = a(x - h)² + k, where
a is the coefficient of x²h, k are the coordinates of its vertex pointh = [tex]\frac{-b}{2a}[/tex]k equals y at x = h∵ The given function is y = x² + 5x - 9
∴ a = 1, b = 5, c = -9
→ Use a and b to find h
∵ h = [tex]\frac{-b}{2a}[/tex]
∴ h = [tex]\frac{-5}{2(1)}=-2.5[/tex]
∴ h = -2.5
→ Find y at x = -2.5
∵ y = (-2.5)² + 5(-2.5) - 9 = 6.25 - 12.5 - 9
∴ y = -15.25
∴ k = -15.25
→ Substitute a, h, k in the vertex form above
∴ y = 1(x - -2.5)² + -15.25
∴ y = (x + 2.5)² - 15.25
The function in the vertex form is y = (x + 2.5)² - 15.25
Assume that an investment of $9000 earns an APR of 6% compounded monthly for 18 months. How much money is in your account after 18 months?
How would I solve this question?
Answer:
Step-by-step explanation:
ok you have to find which one by
one i mean ( C or L ) DESCRIBES the best
( C ) that is library and u have to find out wut is ( L )
Two dice are rolled. What is the probability that the sum of the numbers rolled is either 4 or 9? Express your answer as a fraction in lowest terms or a decimal rounded to
the nearest millionth.
Answer:
1/4
Step-by-step explanation:
There are 36 possible combinations. Of those 36, the ones that add up to either 6 or 9 are:
1+5, 2+4, 3+3, 4+2, 5+1, 3+6, 4+5, 5+4, 6+3
There are 9 combinations that add up to either 6 or 9. So the probability is 9/36, or 1/4.
What is the solution to the system of equations?
3x+10y=-47
5x - 7y=40
O (1.-5)
O (1,5)
0 (-1,-5)
0 (-1,5)
Answer:
x=1 ,y=-5
Step-by-step explanation:
3x + 10y = 47
5x - 7y = 40
____________
21x + 70y = 329. equ 1
50x - 70y = 400. equ 2
subtract equ 1 from 2
=71x = 71
divide both sides by the 71
71/71 = 71/71
x = 1
_________
to find y
substitute x into either equ 1 or equ 2
am using equ 2
5x - 7y = 40
5(1) - 7y = 40
5 - 7y = 40
7y = 5 - 40
7y = -35
divide both sides by the coffecient of y
7y/7 = -35/7
y = - 5
Solve the equation for x.
3x + 11 – X + 23 = 4
Answer:
x = -15
Step-by-step explanation:
3×+34-×=4
2×+34=4
2×+34-34=4-34
2×=4-34
2×= -30
2×/2=-30/2
×= -15
Why are there two different types of area formulas for parametric equations?
Step-by-step explanation:
The first equation is the surface area of a curve that's been rotated about the x-axis.
The second equation is the area between a curve and the x-axis.
i will give brainliest solving x
Answer:
6
Step-by-step explanation:
A truck is carrying 9 cars weighing an average of 4,000 pounds each. What is the total weight in tons of the cars on the truck
Answer:
18 tons
Step-by-step explanation
First you need to know that 1 ton is 2,000 pounds. Ok so if you do the 4,000 pounds times the 9 cars you get 36,000 pounds in total and then you can divide by 2,000 and you get 18 so it is 18 tons.
emelia earns $8.74 per hour plus a gas allowance of $3.50 per day at her job. how much does emelia's job pay in a day when she works 5 and a half hours? write an expression and evaluate for 5 and a half hours.
Answer:
8.74(5)+3.50=47.20
Step-by-step explanation:
She earns $47.20 that day
$51.57 is the amount emelia's job pay in a day when she works 5 and a half hours
What is Expression?An expression is combination of variables, numbers and operators.
Given emelia earns $8.74 per hour plus a gas allowance of $3.50 per day at her job
We need to find how much does emelia's job pay in a day when she works 5 and a half hours
Let us write the given data in the form of expression.
8.74x+3.50
Now for 5 and half hours we have to calculate
8.74(5.5)+3.50
48.07+3.50
51.57
Hence, $51.57 is the amount emelia's job pay in a day when she works 5 and a half hours
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.
क. गाय
(D द्रव्यवा चक संज्ञा का उदाहरण कौन सा है?
ख. दूध क. गाय
ग. पंखा
घ. सेना।
कौन सा शब्द समूहवाचक संज्ञा नहीं हैं?
फ. भीड़ख ख. कक्षा
ग. सेना
घ. चिड़िया ।
6 ताजमहल आगरा में स्थित है। रेखांकित शब्द की
संजा बताइए?
क. व्यक्तिवाचक संज्ञा ख. जातिवाचक संज्ञा ।
ग. भाववाचक संज्ञा घ. समूहवाचक संज्ञा ।
Answer:
I dont know how to read hindi can u pls translate it into English
what is the missing number in the
sequence -10,-6, -2,_ 6, 10?
Answer:
It would be a positive 2.
Step-by-step explanation:
This is because if you start with -10 and add 4, the number 2 would go in the blank. Also if you start at positive 10 you just subtract 4 and the number 2 would still go in the blank.
Hope this helps!
Convert these numbers from standard form to scientific notation 1. 31,560,000 =
Answer:
Step-by-step explanation:
31,560,000 = 3.156 x 10^7
Need help ASAP step by step plz 14 points :)
Answer:
39
Step-by-step explanation:
it’s just simple multiplication and addition
Based on the graph below, which sequence of transformations is needed to carry ABCD onto its image A'B'C'D'?
Answer:
D: A 90 degree clockwise rotation about the origin and then a reflection across the line y=x
Step-by-step explanation:
Your welcome!!!
Part III: The Olympic triangle (22 points)
Draw a sketch of the short course triangle below, labeling the points A, B, and C. Don’t draw it on your master map yet! (3 points)
Answer:
thank you!!!!!!!
Step-by-step explanation:
The course triangle can be used to determine the transition of course stages from one to the other with labels as in the image. The angle <ABC and <BCA depends on the type of triangle we draw. Here it is 60° each.
What is a course triangle ?The three main elements of the course design triangle are objectives, assessments, and instruction. All three course components must be closely correlated with one another and take into account the course setting to produce a cogent learning experience.
The Olympic triangle is a sailing course that is frequently used in racing dinghies, especially at important regattas like State, National, and World Titles, and it was also used during the Olympics.
When looking up the course towards the top mark, the start line is frequently tilted 5 to 10 degrees to the port end, or the left end, as opposed to how the start line would be if it were parallel to the wind.
To windward of the top mark, with a finishing mark and the committee boat serving as either end of the line, is the most adaptable location to establish the finishing line.
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Using f(x) = 3x - 3 and g(x) = -x, find g(f(0))
Answer:
g(-3)=3
Step-by-step explanation:
Which of the following is an equivalent form of the compound inequality -33> -3x - 6> 6
Answer:
21
Step-by-step explanation:
Help!
How to get over a huge crush
Answer:
there are cute boys on Tik-tok or you can try and think about something happy
Step-by-step explanation:
How do you solve
8.4-6.8=-3.2y+16.4
Answer:
y = 4.625
Step-by-step explanation:
Subtract 16.4 from both sides and collect terms.
8.4 -6.8 -16.4 = -3.2y +16.4 -16.4
-14.8 = -3.2y
Divide both sides by -3.2.
-14.8/-3.2 = (-3.2y)/-3.2
4.625 = y
The solution is y = 4.625.
Answer:
y=4.625
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Tommy, Joel, and garret shared a supreme pizza from pizza kingdom. Tommy ate 3/8
Answer:
I would love to answer this question but i dont think you wrote out the whole thing.
Step-by-step explanation:
Determine a relationship between the x- and y-values. Write an equation.
Answer:
X increasing by one and Y decrasees by 2
The correct relation between x and y is [tex]y=x-2[/tex].
Given information:
The table showing the values of x and y is:
x 1 2 3 4
y -1 0 1 2
From the given table, it can be seen that with an increase in the value of x, the value of y also increases.
From the values of y, it can be seen that y increases by 1 unit with a unit increase in x.
The relation between x and y can be written as,
[tex]y=x-2\\y(1)=1-2\\y(1)=-1[/tex]
Therefore, the correct relation or equation between x and y is [tex]y=x-2[/tex].
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what i do wrong
?????
Answer:
just put 10 not x =10
Step-by-step explanation:
yeet yeet
The ellipse is centered at the origin, its major axis is horizontal, with length 8; the length of its minor axis is 4;
Consider we need to find the equation of ellipse.
Given:
Ellipse is centered at the origin.
Major axis is horizontal, with length 8.
The length of its minor axis is 4.
To find:
The equation of ellipse.
Solution:
Major axis is horizontal, so standard form of ellipse is
[tex]\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1[/tex] ...(i)
where, (h,k) is center of the ellipse and length of major axis is 2a and length of minor axis is 2b.
Ellipse is centered at the origin. So, h=0 and k=0.
Major axis is horizontal, with length 8.
[tex]2a=8[/tex]
[tex]a=4[/tex]
The length of its minor axis is 4.
[tex]2b=4[/tex]
[tex]b=2[/tex]
Substitute h=0, k=0, a=4 and b=2 in equation (i).
[tex]\dfrac{(x-0)^2}{4^2}+\dfrac{(y-0)^2}{2^2}=1[/tex]
[tex]\dfrac{x^2}{16}+\dfrac{y^2}{4}=1[/tex]
Therefore, the required equation of ellipse is [tex]\dfrac{x^2}{16}+\dfrac{y^2}{4}=1[/tex].
Percent decrease from 275 to 242