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!
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.
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 :))
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
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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
find the value of k for which the equation 3x square-6x+k=0 has district real root
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.
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!
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 :)
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
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
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.
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
What is the total area of the garden?
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
Which place value should you use to compare the numbers?
645,853
646,34
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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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 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
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.
which sum or difference is modeled by the algebraic tiles?
Answer:
C
Step-by-step explanation:
what is the answer to this please
Answer:
easy it is B trust me
Step-by-step explanation:
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
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.
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
the answer to the question is d (8,85)
Answer: D since the equation would be y=10x
Step-by-step explanation:
44 : 20 is equivalent to __ : 5
20 : 15 is equivalent to 4 : __
5 : 2 is equivalent to __ : 8
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
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
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
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
