Answer:
[tex]y=-\frac{4}{5}x+\frac{74}{5}[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is equal to 0)Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)1) Determine the slope (m)
[tex]y=\frac{5}{4} x-10[/tex]
From the given equation, we can identify clearly that the slope of this line is
[tex]\frac{5}{4}[/tex]. The negative reciprocal of [tex]\frac{5}{4}[/tex] is [tex]-\frac{4}{5}[/tex], so therefore, the slope of the line we're currently solving for is [tex]-\frac{4}{5}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-\frac{4}{5}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-\frac{4}{5}x+b[/tex]
Plug in the given point (11,6) and solve for b
[tex]6=-\frac{4}{5}(11)+b\\6=-\frac{44}{5}+b[/tex]
Add [tex]-\frac{44}{5}[/tex] to both sides to isolate b
[tex]6+\frac{44}{5}=-\frac{44}{5}+b+-\frac{44}{5}\\\frac{74}{5} =b[/tex]
Therefore, the y-intercept is [tex]\frac{74}{5}[/tex]. Plug this back into [tex]y=-\frac{4}{5}x+b[/tex]:
[tex]y=-\frac{4}{5}x+\frac{74}{5}[/tex]
I hope this helps!
44 : 20 is equivalent to __ : 5
20 : 15 is equivalent to 4 : __
5 : 2 is equivalent to __ : 8
Which place value should you use to compare the numbers?
645,853
646,34
What are the coordinates of the vertex of the graph? Is it a maximum or minimum?
Answer:
(0, -1), it is maximum
Step-by-step explanation:
_______
Answer:
(0, -1); maximum
Step-by-step explanation:
Define the vertex of a parabola as the point of intersection between the parabola and its line of symmetry. In this case, the vertex is located at (0, -1). Since the parabola is concave down, the vertex represents the maximum (or largest y-value) of the parabola.
A candle is 6 tall after burning for one hour. After 3 h, it is 5. 5 tall. Write a linear equation to model the hh () of the candle after burning () h.
Answer:
h(t) = -0.25t + 6.25
Step-by-step explanation:
Given that :
Height of candle after burning for 1 hour = 6
Height of candle after burning for 3 hours = 5.5
The linear model to show the height ight of candle after burning for h hours :
The height change per hour of burn ; this is the slope ;
Change in height / Change in time ;
Time = 1 hour ; height = 6
Time = 3 hours ; height = 5.5
Slope = (5.5 - 6) / (3 - 1) = - 0.5 / 2 = - 0.25
This means candle height decreases ; - 0.25 ft per hour :
Based on the linear, slope, intercept equation ;
y = mx + c
Candle height, h
h(t) = mt + c
c = intercept, we can obtain this thus ;
Using the height at 1 hour and slope;
After an hour burn :
6 = - 0.25t + c
t = 1
6 = - 0.25(1) + c
6 = - 0.25+c
6+0.25 =, c
c = 6.25
Hence ; to calculate height, h after burn time &
h(t) = -0.25t + 6.25
what is the answer to this please
Answer:
easy it is B trust me
Step-by-step explanation:
Solve the system of equations given below. (Please--help..)
Step-by-step explanation:
x+2y=-4
2x+3y=1
The difference between this two equations is x+y so:
x+y
=1-(-4)
=1+4
=5
I'm not sure what the question is asking to find, but I have already helped you find the value of x+y, good luck with the rest I guess :))
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
the answer to the question is d (8,85)
Answer: D since the equation would be y=10x
Step-by-step explanation:
may I please have help from anyone thank you so much !
Answer:
Hello! answer:
largest volume: Rectangle C
smallest volume: Rectangle A
Step-by-step explanation:
Rectangle A: 120
Rectangle B: 160
Rectangle C: 224
Rectangle D: 189
Hope that helps!
An expression is given: (3x−1)−2.75(x+2)
0.25x - 3
0.25x - 6.5
0.25x + 1
0.25x + 4.5
The yearbook staff ordered 8 boxes in the first order. They end up with a total of 168 yearbooks after both orders.
Answer:
8/168=21
Step-by-step explanation:
Ramos spends $36.00 on a t-shirt and spends $20.00 on a hot dog.
Daniels spends $50.00 on shoes. Ramos has a bank account with a balance
of $100. How much will the purchase cost him? What would Ramos’ bank
balance be after all the debts were paid?
Answer:
$-6
Step-by-step explanation:
Spend
$36 on t-shirt
$20 hot dog
$50 shoes
Ramos money- $100
$36+$20+$50=$106
$100-$106=$-6
***Don't forget units***
Hope this was useful :)
find the value of k for which the equation 3x square-6x+k=0 has district real root
which sum or difference is modeled by the algebraic tiles?
Answer:
C
Step-by-step explanation:
A polygon with 6 sides is shown. No angles go inside of the shape.
What type of polygon is shown?
convex heptagon
concave heptagon
concave hexagon
convex hexagon
Answer:
d. convex hexagon
Step-by-step explanation:
i got a 100 edge 2021
The type of Polygon shown as given in the question with its' shape is called; Convex Hexagon
How to define Polygons?We are told that the polygon has 6 sides and that no angle goes inside the shape.
Now, a polygon with 6 sides is called a hexagon. However, in this case the name will be a convex hexagon because it will have a hexagonal shape with no interior angle greater than 180°.
Despite that said, regular hexagons will always be called convex hexagon while Irregular hexagons can also be called convex hexagons.
Read more about Polygons at; https://brainly.com/question/1592456
#SPJ2
Please help i'm struggling with this!It's urgent!
Answer:
m=1/2
Step-by-step explanation:
coordinatr points are:
(6,4) = (x1,y1)
(8,5) = (x2,y2)
slope(m) = y2-y1/x2-x1
=5-4/8-6
=1/2
Write a quadratic equation that is the same width as y = -2x 2+ x + 1.
Step-by-step explanation:
y=-2x+2+x+1
y=_2x+x+2+1
y=x+3
Hình tròn lớn và hình tròn nhỏ có cùng tâm O. Tính diện tích hình tròn lớn, biết rằng diện tích hình tròn nhỏ là 12,56m2.
Answer:
Hình tròn lớn và hình tròn nhỏ có cùng tâm O. Tính diện tích hình tròn lớn, biết rằng diện tích hình tròn nhỏ là 12,56m2.
Step-by-step explanation:
Hình tròn lớn và hình tròn nhỏ có cùng tâm O. Tính diện tích hình tròn lớn, biết rằng diện tích hình tròn nhỏ là 12,56m2.
Find (-4) for f(x) = 9(3)^x
A. -108
B. 1/3
C. -729
D. 1/9
Answer:
D
Step-by-step explanation:
9(3)^-4
3^2 × (3^-4)
in algebraic expression a^n × a^m = a^n+m
3^2+(-4)
3^-2
but 3^-2 = 1/3²
1/3²= 1/9
The option (4) is correct i.e., when [tex]x=-4[/tex] then
[tex]f(x) = 9(3)^x\\\\f(x)=\frac{1}{9}[/tex]
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given equation is
[tex]f(x)=9(3)^x\\\\\\x=-4\\\\\\f(-4)=9(3)^{-4}\\\\f(-4)=\frac{9}{(3)^4}\\\\f(-4)=\frac{9}{81}\\\\f(-4)=\frac{1}{9}[/tex]
Hence, the option (4) is correct i.e., when [tex]x=-4[/tex] then
[tex]f(x) = 9(3)^x\\\\f(x)=\frac{1}{9}[/tex]
To know more about the equation
https://brainly.com/question/12788590
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What is the total area of the garden?
Please help me!!!!!!!!!!!
Answer:
148º
Step-by-step explanation:
im assuming youre looking for the x and the 38º is the smaller angle, you would subtract 38º from 180º, and you get 148º
enjoy points cuz I lost my Crown :(
Answer:
You know what :)
Step-by-step explanation:
I feel bad so if you ever need help you can ask me! :)
Answer:
hi yaar, mai hu indian
nice too meet you
my name Ankit kumar
any doubt
Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He spent a total of $47.65. If Hugh bought 3 magazines, how many books did he buy? The equation that models the problem is 3.95m + 8.95b = 47.65
Which is an equation of a circle with center (2,7) and radius 4?
(x - 2)2 + (y - 7)2 = 4
Part
(x - 7)2 + (y - 2)2 = 16
5. Part
(x + 2)2 + (y + 7)2 = 4
d
(x - 2)2 + (y - 7)2 = 16
Answer:
16 = (x-2)² + (y-7)²Step-by-step explanation:
see image
Marcus is the sports editor. He can fit 24 sports photos across 3 pages.
How many sports photos can Marcus fit on 4 pages? Show your work.
Answer:32
Step-by-step explanation:beacuse 24 dived by 3= 8 and 4x8=32
The domain of this function is (-12, -6, 3, 15).
y =-2/3x +7
Complete the table based on the given domain.
(Table in Picture)
(PLEASE HELPP)))
Answer:
Step-by-step explanation:
1) y = -2/3* -6 + 7 =
y= 11
2) 5 = -2/3 x + 7
-2/3 x = -2
x = 3
3) y = -2/3 * 15 + 7
y = -3
4) 15 = -2/3x + 7
2/3x = -8
x = -12
Which of the following is the value of a when the function f(x)=3|xl is written in the standard form of an absolute value
function?
Answer:
D = 3
Step-by-step explanation:
edge 2022
Find the slope of the line passing through the points (-6, 4) and (-6, -9).
Answer:
There is no slope.
Step-by-step explanation:
Following the formula for slope,
y^2 - y^1
-------------
x^2 - x^1
when inputting our values, we get -13/0. We cannot divide by 0 and because the 0 is in the denominator, it means that there is no slope.
Find the equation of the line that is parallel to the line
y= -2x - 8 and passes through the point (7,0). Write the
equation in slope-intercept form.
In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student plays a sport given that they play an instrument?
8 students out of 27
the total of students is 27 out of the 27 students 19 dont play and instrument and a sport
the function f(x) is shown in this graph.
Answer:
i think it's D
Step-by-step explanation:
the slope of f(x) is 0,2 and g(x) is -2, -6. Obv 0 is greater than -2. so it has to be D.
