Answer:
y-8=16(x-9)
Step-by-step explanation:
slope m=y2-y1/x2-x1
m=8+8/9-8 ⇒ m=16
y-8=m(x-x1)
y-8=16(x-9)
The equation of the line that is passing through (8, −8) and (9, 8) will be y = 16x − 120.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).
Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
The points are given below.
(8, −8) and (9, 8)
The equation of the line that is passing through (8, −8) and (9, 8) will be given as,
(y + 8) = [(8 + 8) / (9 − 8)](x − 8)
Simplify the equation, then we have
(y + 8) = [(8 + 8) / (9 − 8)](x − 8)
(y + 8) = 16(x − 8)
y + 8 = 16x − 128
y = 16x − 120
The equation of the line that is passing through (8, −8) and (9, 8) will be y = 16x − 120.
More about the line passing through two points link is given below.
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find the missing part of the proportion 12/x = 3/7 x= _
Answer:
x = 28
Step-by-step explanation:
12/x = 3/7
Using cross products
3x = 12*7
3x = 84
Divide by 3
x = 28
PLEASE HELP ASAP Given: −3(a–b) > 0, which is the greater: a or b? Give numerical examples. Many thanks!
Answer:
b
Step-by-step explanation:
If a negative number times another number is positive, that means that the other number is also negative because multiplying two negative numbers gives you a positive number. Therefore, a - b must be negative. In order for the difference of two numbers to be negative, the number being subtracted must be bigger than the number it's being subtracted from. For example, in 2 - 7, 7 > 2 but 2 - 7 is negative, the same goes for 3 - 8, 4 - 10, etc. Therefore, b must be greater.
Ms. Ayala had 152 pencils. She divided the numbers of pencils equally among 13 students. What is the greatest numberof pencils Ms.Ayala could have given each student
Answer:
11
Step-by-step explanation:
she divides the number of pencils equally
so the number of pencils per student is 152/13
which is 11.692...
but she can't give 0.69 of a pencil so she gives only the whole part 11
and she keeps 9 pencils
a symbol used to name one or more parts of a whole or asset or a location on the number line is a
Answer:
Fraction is the answerwhat is the value of a in the functions equation?
Answer:
y= -2x^2 + 12x -14
Step-by-step explanation:
when I put the points into a graphing calculator this is what I got so I think the answer is -2
Answer:
Step-by-step explanation:
It is -2
|10-11| = simplify the expression
Answer:
1
Step-by-step explanation:
Let's ignore the absolute value signs for a moment.
We have the expression [tex]10-11[/tex]. We know that if we subtract 10 from 10 we get 0, so if we subtract 11 from 10 we must get -1.
However, there is an absolute value sign. This means that whatever number is inside it has to be converted to a positive number.
-1 as a positive number is +1, or just 1.
Hope this helped!
PLEASE HELP! 20 POINTS 1) A ball is thrown starting at a time of 0 and a height of 2 meters. The height of the ball follows the function H(t)=−4.9t2+25t+2. What is the height of the ball at each second from 0 to 5? (I'll put a picture of the graph.) 2) Which expression could represent the height of a soccer ball as it is in the air after being kicked? (This is part 2 to question 1) A. −16t+9 B. −16t2+4t3 C. 9t2+25t D. −16t2+25t+1
Answer:
a or b
Step-by-step explanation:
it just looks like b or a
H(t) = -4.9t^2 + 25t + 2
Height is a function of time
plug in 0, 1,2,3,4, and 5 to find the height at 0, 1,2,3,4, and 5 seconds.
at t = 0
H(0) = -4.9(0)^2+25(0) + 2 = 2 meters
Repeat for T=1,2,3,4 and 5
Notice the ball peaks around t = 3 seconds and starts to descend.
H(1) = (-4.9)(1^2) + 25(1) + 2 = 22.1 meters
H(2) = (-4.9)(2^2)+25(2)+2=32.4 meters
H(3) = 32.9 meters
H(4) = 23.6 meters
H(5) = 4.5 meters
The graphed system represents the rate at which two trucks are being filled, where x represents the time in minutes and y represents the percentage filled. Which statement is true? A. The solution is nonviable because the percentage filled cannot be negative. B. The solution is nonviable because the time cannot be negative. C. The solution is nonviable because the time cannot be partial minutes. D. The solution is viable.
By reading the graph, we can say that the solution is nonviable because A. the percent filled cannot be negative B. the time cannot be negative.
What is meant by Reading the graph?Reading a graph means interpreting what information is being conveyed by the graph and getting meaningful insights from it.
Learn more about reading the graph here
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A bus travels from Station A to Station B, and a truck travels from Station B to Station A on the same road. The speed of the bus is 54 km/h, and the speed of the truck is 48 km/h. After they pass each other, they continue drive to the destinations. Once they reach the destination, they turn around to continue travel along the same road. When they meet again, the bus travels 216 km more than the truck. What is the distance between the two stations in kilometers?
Answer:
The distance between the two train stations is 1728 km
Step-by-step explanation:
The speed of the bus = 54 km/h
The speed of the truck = 48 km/h
When the bus and truck meet again, the distance covered by the bus = 216 km more than he distance traveled by the truck
Let the distance between the two train stations = x
Let the location where they first meet be y from station A we have;
The location where they meet again = y - 216 km
Therefore, we have;
Location where they
The time for the truck and the bus to meet again = t
Therefore, 54 × t - 48 × t = 216 km
6·t = 216 km
t = 36 hours
Therefore, the time for the bus to travel x + 216 km = 36 hours
54 × 36 = 1944 = x + 216
x = 1944 - 216 = 1728 km
The distance between the two train stations = 1728 km.
Evaluate each expression. Name the property used in each step.
Answer:
7). 1
8). 3
9). 1
Step-by-step explanation:
7). [tex][3\div (2\times 1)]\frac{2}{3}[/tex]
[tex]=[3\div 2]\frac{2}{3}[/tex]
[tex]=\frac{3}{2}\times \frac{2}{3}[/tex]
[tex]=1[/tex]
8). [tex]2(3\times 2-5)+3\times \frac{1}{3}[/tex]
[tex]=2(6-5)+\frac{3}{3}[/tex]
[tex]=2(6-5)+1[/tex]
[tex]=2+1[/tex]
= 3
9). [tex]6\times \frac{1}{6}+5(12\div 4-3)[/tex]
[tex]=6\times \frac{1}{6}+5(\frac{12}{4}-3 )[/tex]
[tex]=1+5(3-3)[/tex]
= 1
I will give brainliest to the correct answer!! Find the vertex and the length of the latus rectum. x= 1/2(y - 5)² + 7
Answer:
Vertex =(5,7)
Latus rectum = 2
Step-by-step explanation:
The general equation of a parabola can be expressed as x = a(y-h)²+k where 'a' is a constant and (h,k) is the vertex of the parabola.
Comparing the general equation with the given equation x= 1/2(y - 5)² + 7, it can be seen that a = 1/2, h = 5 and k = 7. Hence the vertex of the equation is (5,7) on comparison.
The length of the latus rectum of a parabola is 4a
On comparing the equation with the general equation, a = 1/2
Length of the latus rectum = 4(1/2)
Length of the latus rectum = 4/2 = 2
Hence the vertex is (5,7) and the length of latus rectum is 2
Please answer this question now
Answer:
PQ = 17
Step-by-step explanation:
Tangents drawn to a circle from an external point are congruent, thus
TS = TU = 6
VU = VO = 20
PO = PQ = 37 - VO = 37 - 20 = 17
That is PQ = 17
Find the total surface area.
8 km
4 km
3.9 km
2 km
8 km
Answer:
71.2 km²
Step-by-step explanation:
Triangles: 1/2(8)(3.9)=15.6 (2 of them - front and back)
Base: 8x2=16
Side: 4x2=8
Slant:8x2=16
15.6+15.6+16+8+16=71.2
Jack picks 3 liters of berries in 8 minutes. Jill picks 4 liters of berries in 10 minutes. Working together, how many berries can they pick in 1 minute?
Answer:
they can pick 27 berry's
Step-by-step explanation:
I think-
They can pick 1.29 liters of berries in 1 minute working together.
--------------------------------------------
The together rate is the sum of each separate rate. In this question:
We want to find the together rate.Jack's rate is [tex]\frac{3}{8}[/tex]Jill's rate is [tex]\frac{4}{10}[/tex]--------------------------------------------
Together, they can pick x liters, and the rate is: [tex]\frac{1}{x}[/tex]
Then
[tex]\frac{1}{x} = \frac{3}{8} + \frac{4}{10}[/tex]
[tex]\frac{1}{x} = \frac{15 + 16}{40}[/tex]
[tex]\frac{1}{x} = \frac{31}{40}[/tex]
Applying cross multiplication:
[tex]31x = 40[/tex]
[tex]x = \frac{40}{31}[/tex]
[tex]x = 1.29[/tex]
They can pick 1.29 liters of berries in 1 minute working together.
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URGENT PLZ HELP!!! Fill in the blank with the appropriate word. The preserves distances and angles between anchor points on the pre-image so that the image is the same size and shape. Transformations Translation equidistant 90° angle
Answer:
Translation
Step-by-step explanation:
Translations move shapes without changing their side lengths or angles.
Answer:
translation(s)
Step-by-step explanation:
translation(s) mean that you move a shape but not change the lenghts and some,... stuff
You need to prepare 30mL solution of a 1:8 syrup solution. You have on hand 50% syrup solution and a 1:20 soda solution. How many mL of each solution do you need to create the final solution?
Answer:
5 ml of 50% syrup solution will be used to create the final solution
Step by step Explanation:
Let the amount of 50% solution that was used = b
Which means ( 30 - b ) is the amount of 1/200 solution used then we can derive an equation as follows,
set up will then be,
0.5b +0.05(30 -b) = 1/8 (30)
We can simplifiy this as
0.5b+ 1.5 -0.05b = 3.75
Then make b the subject of the formula we have
0.45b = 2.25
b= 2.25/0.45
b = 5 ml
Therefore, 5ml of 50% syrup solution will be used to create the final solution
help with math again please
ANSWER:
It is C
NO EXPLANATION
Determine the minimum rotation (in degrees) which will carry the following figure onto itself ( where all sides and verticles will match up). Round to the nearest tenth if necessary.
Answer:
360°
Step-by-step explanation:
The figure is irregular which means it must be completely rotated to have matching sides and vertices. A full rotation is equal to 360°.
First Question The following table shows the length and width of a rectangle: Length Width Rectangle A 4x + 5 3x − 2 Which expression is the result of the perimeter of rectangle A and demonstrates the closure property? A.14x + 6; the answer is a polynomial B.14x + 6; the answer may or may not be a polynomial C.2x + 6; the answer is a polynomial D.2x + 6; the answer may or may not be a polynomial
Answer: A.14x + 6; the answer is a polynomial
Step-by-step explanation:
Since all of the variables have integer exponents that are positive this is a polynomial.
if a man works 400km in 6 minutes.How long will he work in 9 minutes
Answer:
600 kmStep-by-step explanation:
400 km = x
6 min 9 min
cross multiply:
6x = 400 ( 9)
x = 3600 / 6
x = 600 km
Lilianna uses \dfrac{3}{4} 4 3 start fraction, 3, divided by, 4, end fraction calories per minute just by sitting. She uses 111 more calorie per minute by walking. Lilianna uses a total of 12\dfrac{1}{4}12 4 1 12, start fraction, 1, divided by, 4, end fraction calories walking to the park. Lilianna uses the equation, d\left(\dfrac{3}{4}+1\right)=12\dfrac{1}{4}d( 4 3 +1)=12 4 1 d, left parenthesis, start fraction, 3, divided by, 4, end fraction, plus, 1, right parenthesis, equals, 12, start fraction, 1, divided by, 4, end fraction to represent the situation. What does the variable ddd represent in the equation? Choose 1 answer: Choose 1 answer: (Choice A) A Calories per minute Lilianna uses walking (Choice B) B Number of calories Lilianna would have used sitting (Choice C) C Number of minutes Lilianna walked
The Variable d in the equation represents the time per minute Lilianna spends walking to the park
VariableCalories used by sitting = 3/4Calories used by walking = 1Total calories used walking to the park = 12 1/4The equation:
d(3/4 + 1) = 12 1/4
d(3+4/4) = 12 1/4
d(7/4) = 49/4
d = 49/4 ÷ 7/4
= 49/4 × 4/7
= 49/7
d = 7
Complete question:
Lilianna uses 3/4 calories per minute just by sitting. She uses 1 more calorie per minute by walking. Liliana uses a total of 12 1/4 calories walking to the park. Lilianna uses the equation, d(3/4+1)=12 1/4 to represent the situation. What does the variable d represent in the equation?
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ASAP PLEASE GIVE CORRECT ANSWER
In a rectangular coordinate system, what is the number of units in the distance from the origin to the point $(-15, 8)$? Enter your answer
distance of a point [tex](x,y)[/tex] from origin is $\sqrt{x^2+y^2}$
so distance is $\sqrt{(-15)^2+(8)^2}=\sqrt{225+64}=\sqrt{289}=17$
Answer:
Distance=17 units
Step-by-step explanation:
Coordinates of the origin: (0, 0)
Coordinates of the point in question: (-15, 8)
Distance formula for any two points [tex](x_1,y_1), (x_2,y_2)[/tex] on the plane:
[tex]distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\distance=\sqrt{(-15-0)^2+(8-0)^2}\\distance=\sqrt{(15)^2+(8)^2}\\distance=\sqrt{225+64} \\distance=\sqrt{289} \\distance=17[/tex]
3y=-2x+1593 divide each side by 3
Answer:
y = -2x/3 + 531
Step-by-step explanation:
-3 = 7 - BLANK pls tell me what blank is
Answer:
10
Step-by-step explanation:
-3 = 7 - x
Add x to both sides
x -3 = 7 - x +x
x - 3 = 7
Now, add 3 to both sides
x - 3 + 3 = 7 + 3
x = 10
Answer:
[tex]\boxed{10}[/tex]
Step-by-step explanation:
[tex]-3=7- \sf BLANK[/tex]
[tex]\sf Subtract \ 7 \ from \ sides.[/tex]
[tex]-3-7=-7+7- \sf BLANK[/tex]
[tex]-10=- \sf BLANK[/tex]
[tex]\sf Multiply \ both \ sides \ by \ -1.[/tex]
[tex]-10(-1)=(-1)- \sf BLANK[/tex]
[tex]10= \sf BLANK[/tex]
Can you write a summation notation of a series that is neither arithmetic nor geometric?
Answer:
Yes, we can.
Step-by-step explanation:
Hello, I found this one.
[tex]\displaystyle \sum_{n=0}^{\infty} \dfrac{1}{n!}[/tex]
We can prove that it exists and it is equal to e.
But this is nor arithmetic nor geometric.
Thank you
SOMEBODY PLEASE HELP ME ON THIS ; DUE TODAY, i’ll mark u the brainliest
Answer: Angle Addition Postulate
Step-by-step explanation:
According to the angle addition postulate, the measure of an angle formed by two angles side by side is the sum of the measures of the two angles. It is used to evaluate the measure of an angle formed by two or more angles .In the given picture, we have ∠MRO and ∠MRS on line SRO.
So, ∠SRO = ∠MRO +∠MRS [By angle addition postulate]
So the postulate that justify the statement " ∠SRO = ∠MRO +∠MRS" is Angle Addition Postulate.
What is -13/20 in decimal form
Answer:
-0.65
Step-by-step explanation:
Step 1: Write out fraction
-13/20
Step 2: Evaluate fraction
-13/20 = -0.65
Help please!!! Thxxxxx
Answer:
H
Step-by-step explanation:
A file that is 276 megabytes is being dowloaded. If 16.7% complete how many megabytes have been dowloaded? Round your answer to the nearest tenth
Answer:
30.9 mb
Step-by-step explanation:
Can I name my Angle VTS as STV? And use it interchangeably in proving?
Answer:
both angles are the same, so you can use it interchangeably in proving.
But i suggest you to mantain only one, because it's easier to understand and it looks better.
