Answer:
(0, 0) and (-4, -10)
(0. 0) and (2, 5)
(3, 7.5) and (-3, -7.5)
Step-by-step explanation:
We have the function:
y = 2.5*x
This is a linear relationship, with a slope equal to 2.5 and y-intercept equal to zero.
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
Then we can check with the points given in the options, and see which ones meet these two criteria.
a) (0, 0) and (-4, -10)
the slope will be:
a = (-10 - 0)/(-4 - 0) = 2.5
The slope is 2.5, then:
y = 2.5*x + b
To find the value of b, we just need to replace the values of one of the points in the equation, let's use the point (0, 0)
0 = 2.5*0 + b
0 = 0 + b
Then b = 0
y = 2.5*x
This means that these points would be on the line when graphed.
b) (0. 0) and (2, 5)
in this case the slope is:
a = (5 - 0)/(2 - 0) = 2.5
then:
y = 2.5*x + b
to find the value of b, let's use the point (0, 0)
0 = 2.5*0 + b
0 = 0 + b
b = 0
then
y = 2.5*x
This ordered pair would be on the line when graphed.
c) (3, 7.5) and (-3, -7.5)
The slope is:
a = (-7.5 - 7.5)/(-3 - 3) = 2.5
y = 2.5*x + b
The value of b will be obtained by using the point (3, 7.5)
7.5 = 2.5*3 + b
7.5 = 7.5 + b
b = 0
Then:
y = 2.5*x
This ordered pair will be on the line when graphed.
d) (1, 3.5) and (2, 5)
The slope is:
a = (5 - 3.5)/(2 - 1) = 1.5
The slope is different than 2.5, then we can discard this pair.
e) (1, 2.5) and (3, 6.5)
the slope is:
a = (6.5 - 2.5)/(3 - 1) = 2
Again, the slope is different than 2.5, then this option can be discarded.
We can conclude that the ordered pairs that will be graphed are:
(0, 0) and (-4, -10)
(0. 0) and (2, 5)
(3, 7.5) and (-3, -7.5)
Coach Burns charted the change in his runners’ 5K times from the first race of the year to the second race of the year. Which student improved the most by decreasing the time needed to run the race? PLEASE HELP IM ON A EXAM!!!
Answer:
student a
Step-by-step explanation:
i just took the exam
Please help me
Will mark as brilliant<3
Answer:
day on will be 5 day two will be 8 day 5 is 17 day 7 is 23
Step-by-step explanation:
Will give brainliest
What is the measure of angle P in the figure shown here?
Answer:
48
Step-by-step explanation:
66*2=132
180-132=48
1/2/2/3
Which question can be answered by this expression?
Answer:
1/2 / 2/3
(1*3) / (2*2)
3/4
Two-thirds of a half equals three-quarters
Answer:
no question
Step-by-step explanation:
it cant thats not an answet
x² = 5.
Solve equation helpppp
Answer:
x= -[tex]\sqrt{5}[/tex]
x= +[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Answer:I didnt know what you were trying to ask
Step-by-step explanation:
What is the perimeter of this polygon?
a
28 units
26 units
22 units
24 units
please help?
Find measure of angle C
Answer:
82
Step-by-step explanation:
Im pretty sure the answer is 82 as it's a striaght line and all you have to do is subtract 180-98
Solve for x given BD = 2x + 3 and AE = 6x + 4 . Assume B is the midpoint of overline AC and D is the midpoint of overline CE.
Answer: 1
From the second sentence, we have AB = BC = CD = DE = y. So AE = 4y and BD = 2y (you can see by drawing a diagram), and AE = 2BD. Substituting 2x + 3 for BD and 6x + 4 for AE in AE = 2BD, we have 6x + 4 = 2(2x + 3), 6x + 4 = 4x + 6. Solving, we see x = 1.
i hope this helped! :D
Which of the following equations represents the graph of a line parallel to the x-axis and passing through the
point (-2, 3)2
The coordinate grid is provided to make it easier for you to visualize the answer.
y 3x
x3y
Which ordered pair is a solution of 3x-y=7?
A. (3,4)
B. (1,-4)
C. (5,-3)
D. (-1,-2)
Answer:
i think the answer is A or D i think
Find the unit rate
24 roses in 4 vases
eeeeeeeeeeeee i really need help-
Answer:
IT would be C none of the above.
Step-by-step explanation:
i just took this test and got a 100%. Also had the same exact question.
A class has 7 boys and 10 girls. Select all associated ratios for this class
7:3
7:10
10:7
17:5
7:17
10:17
3.7
10:3
Answer:
10:17 (girls to total students)
7:17 (boys to total students)
10:7 (girls to boys)
7:10 (boys to girls)
Step-by-step explanation:
What value of ‘x’ would make lines n and m parallel? Please explain your answer!
Answer:
The value of x is 70°
Step-by-step explanation:
Lines and Angles
We need to find the value of x that makes lines n and m parallel.
Please refer to the image below where we have added new variables to the original drawing.
If n and m were parallel, then:
y and 30° are corresponding angles, having the same measure.
w and 80° are vertical angles, having the same measure.
If the two above conditions are met, then the triangle has the angles y, w, and x. Since the sum of all internal angles of a triangle is 180°:
x + y + w = 180°
Substituting:
x + 30° + 80° = 180°
Solving for x:
x = 180° - 30° - 80°
x = 70°
The value of x is 70°
The sum of two numbers is 30. One number is 12 more than the other. Find these two numbers.
Answer:
21 and 9 are the numbers
Step-by-step explanation:
check by doing 21 minus 9, they also add into 30 together. if you haven't already figured it out.
The number of patients treated in a dental office each day was recorded for 8 days. Find the mean, median, and mode for this set of numbers.
5, 25, 25, 25, 11, 20, 25, 16
a.
mean: 25, median: 22.5, mode: 19
c.
mean: 19, median: 22.5, mode: 25
b.
mean: 19, median: 25, mode: 22.5
d.
mean: 22.5, median: 19, mode: 25
Answer:
I don't understand
Step-by-step explanation:
15-a=20 what is the vaule of a?
Answer:
15a=20
a=20/15
a=4/3
ok
Answer:
a=-5
Step-by-step explanation:
15-a=20
Solve for a.
15-20=a
-5=a
Please help thank you so mich
Answer:
15w = s
Step-by-step explanation:
When you look at the graph, after one week, Michael has earned 15 dollars. So if you're trying to find the amount for w weeks, you would multiply 15 by w to get s, the amount of money in Michael's account.
Hope this helps!
Hedgehog68
The vertices of an ellipse are (0,-1) and (8,-1). The endpoints of the minor axis are (4,1) and (4,-3). Write the equation of the ellipse in general form
Answer:
x^2+4y^2-8x+8y+4=0
Step-by-step explanation:
The general form of the given ellipse is x² +4y² - 8x + 8y + 4 = 0.
What is an ellipse?An ellipse can be defined as a shape that looks like an oval circle.
The equation of an ellipse is
[tex]\dfrac{\left(x - h\right)^{2}}{a^{2}} + \dfrac{\left(y - k\right)^{2}}{b^{2}} = 1[/tex]
Where (h, k) is the center a and b are the lengths of the semi-major and the semi-minor axes.
The vertices of an ellipse are (0,-1) and (8,-1).
The endpoints of the minor axis are (4,1) and (4,-3).
The following equations take into account the different properties of an ellipse:
[tex]k = -1k=−1, h^{2} = a^{2}h 2 =a 2 , \left(h - 8\right)^{2} = a^{2}[/tex]
[tex]\begin{cases} b = 2 \\ k = -1 \\ h^{2} = a^{2} \\ \left(h - 8\right)^{2} = a^{2} \end{cases}[/tex]
We get that h = 4 k = -1, a = 4, and b = 2
The standard form of the given ellipse is
[tex]\dfrac{\left(x - 4\right)^{2}}{4^{2}} + \dfrac{\left(y + 1\right)^{2}}{2^{2}} = 1[/tex]
So the general form will be as : x² +4y² - 8x + 8y + 4 = 0.
Thus, the general form of the given ellipse is x² +4y² - 8x + 8y + 4 = 0.
Learn more about ellipses here:
brainly.com/question/9448628
#SPJ2
Please help me with question 2 thank you !!
need help ASAP ,
-40 points
Answer:
A
Step-by-step explanation:
MK and KM are the same line segment
and JKM and LMK share two angles K and M as well as the side of MK or KM making it a Side.Angle.Side
Examine the diagram. It is not drawn to scale.
A triangle has angles A, B, 80 degrees. The exterior angle to angle A is 150 degrees.
Choose the statements that are true based on the diagram.
∠A is supplementary to the exterior angle.
∠A and the 80° angle are remote interior angles.
80° + m∠B + 150° = 360°.
∠B measures 70°.
∠A measures 40°.
Answer is the picture.
Answer:
the first one should be:
360,
60,
150,
90
Step-by-step explanation:
let me know if I'm wrong
Can anyone help me with this algebra problem ?
Answer:
The lines are parallel
Step-by-step explanation:
Answer:
first option
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
If the lines are parallel then there is no point of intersection thus no solution.
Evaluate the given algebraic expression for x = 2 and y= 3.
-Зху
-6
-12
-18
-24
Answer:
-18
Step-by-step explanation:
-3xy,X=2 ,y=3
-3(2)(3)
-3(6)
=-18
What is the product?
7 × 0.4 =
Answer:
2.8
Hope this Helps!
12.
ΥΥΥΥΥ
help please
Answer:
لطفا دانش مغز بزرگ من تست من قاشق تخم مرغ لاک پشت راه من را از طریق شما
Step-by-step explanation:
Answer:
I believe th e andwer to that is y5
What is the solution to the equation?
13 3/4 + x = 7 1/4
A. X = 6 1/4
B. X = 6 1/2
C. X = 20
D. X = 21
(Edg. 2020)
Answer: B
Step-by-step explanation:
Answer:
X= -6.50
Step-by-step explanation:
Explanation is in the picture above
The length of a rectangle is 6 cm more than twice its width. The sum of the length and width is 24 cm What are the dimensions of the rectangle?
Enter your answers in the box.
Answer:
width:6, length:18
Step-by-step explanation:
You can subsititue width with x.
The length would then be 2x+6.
The value of width and length combined is 24.
The equation would be (2x+6)+(x)=24
Simplify to 3x+6=24
Subtract 6 from both sides giving 3x=18
Simplify to x=6
There's the width. Now you can substitute to find the length.
(6x2)+6=18
I hope this is right.
If Triangle ABC~trIangle DEC, find the value of x and y."
Answer:
The right answer would be (D) x = 1.
Step-by-step explanation:
So since triangles ABC and DEC are congruent to each other, your gonna try to find the value of x. So from the figure we know that AB = 4x - 1, BC = 4, AC = 5, DE = x+2, CE = 4 and EC = 5. And since ΔABC ≅ ΔDEC the corresponding sides would be equal. And after, we will have :
AB = DE
4x - 1 = x + 2
4x - x =2 + 1
3x = 3
x = 1
So, as it shows, the value of x is one. So (D) x = 1 is the right answer. Hope this helped! :)
Seven less than 4 times the square of a number is 18. Find the two numbers.
The two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2
Let the unknown number be "x"
The square of an unknown number is expressed as x²4 times the square of a number is 4x²Seven less than 4 times the square of a number is 4x² - 7If the resulting expression is 18, this will be expressed as 4x² - 7 = 18
Solving the resulting expression
[tex]4x^2-7=18\\4x^2= 18+7\\4x^2=25\\x^2=\frac{25}{4}\\x=\pm \frac{5}{2}[/tex]
Hence the two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2
Learn more here: https://brainly.com/question/13805464