Answer:
12y+x = -20
Step-by-step explanation:
Question restructured
Identify the equation of the line that is perpendicular to y =12x−7 and runs through the point (4,−2).
The equation of a line in point-slope form is expressed as;
y-y0 = m(x-x0)
m is the slope
(x0,y0) is a point on the line
Given the equation y = 12x - 7
Slope = 12
Since the required line is perpendicular to this line, the slope of the required line will be;
m = -1/12
Get the required equation
y-(-2) = -1/12 (x - 4)
y+2= -1/12(x-4)
Cross multiply
12(y+2) = -(x-4)
12y+24 = -x+4
12y + x = 4-24
12y+x = -20
Hence the required equation is 12y+x = -20
NB: The equation of the line used in question was assumed
Ronald brought a jacket on Friday that had original price if $45. It was on sale at 10% off its original price. Which formula shows what Ronald paid after 7% sales tax was added?
A. 1.07(45-10)
B. 1.03(45)
C. 1.07(45-45(.1))
D. 1.1(45-45(.7))
Consider the transfer function a. By rewriting Eq. (7.283) in the form find a series realization of as a cascade of two first-order systems. b. Using a partial-fraction expansion of , find a parallel realization of . c. Realize in control canonical form.
Answer:
B
Step-by-step explanation:
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What is the total value of digit 7 in the number 32.8794
emily earns $635 per week, how much is that in a year ? ( 52 weeks in a year )
Answer:
Emily will earn $33,020 in one year.
Step-by-step explanation:
635×52=33,020
identify the polynomial.
[tex] {a}^{2} + b - cd^{3} [/tex]
Four Term Polynomial
Monomial
Five Term Polynomial
Trinomial
Binomial
Answer:
it's a trinomial
Four friends all five each other presents
The total cost of presents is £80.52
Work out the mean cost of presents in pounds
Step-by-step explanation:
Four friends all give each other presents. The total cost of the presents is £80.52. We need to find the mean cost of a present in pounds. So, the mean cost of a present is equal to 20.13 .
Cayden has several screws on a scale, and the scale reads 80.955 cayden add 1 more screw and the scale reads 84.81
Answer:
-3.855
Step-by-step explanation:
Not sure if you need the weight of each screw! but you just subtract 80.955-84.81
Answer:
1
Step-by-step explanation:
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help me pls pls !!!!! help
I need help with this question. Can you please help me.
Answer:
ummmm maybe u just forgot to add the picture
Anderson has $120 and is spending $8 a day. Kate has $60 and is saving $7 a day. After how many days will they have the same amount of money?
Answer:
8 days
Step-by-step explanation:
Answer:
4 days
Step-by-step explanation:
[tex]120 - 8x = 60 + 7x[/tex]
x=4
How many cookies will Tanya have if she bakes 12 more batches y = 70 + 18 (x)
y=70+18(x)
y=70+18(12)
y=70+216
y=286
Step-by-step explanation:
since Tanya bakes 12 more cookies,
x=12
y= 70 + 18(12)
y=70 + 216
y= 286
therefore, she bakes 286 cookies with twelve more batches
Helpp!!!!
Give the relation and identify the x and y axis intercepts.
Answer:
(2, 0) and (6, 0)
Step-by-step explanation:
[tex]y = x^2 - 8 x + 12[/tex]
To get the x intersept put y = 0
[tex]x^2 - 8 x + 12 = 0 \\\\x^2 - 6 x - 2 x + 12 = 0 \\\\x(x- 6) - 2(x - 6) = 0 \\\\(x - 2) (x - 6) = 0 \\\\x = 2 and x = 6[/tex]
So, the intersepts are
(2, 0) and (6, 0)
the question is on the image
Answer:
(i) - rectangular prism
(Ii) - triangular prism
(iii) - square pyramid
Step-by-step explanation:
M=F+Frt
solve for t...
Answer:
m=f+Frt
M=f(1+rt)
M\1+rt=F
A hole the size of a photograph is cut from a red piece
of paper to use in a picture frame.
What is the area of the piece of red paper after the hole
for the photograph has been cut?
Vx
o 17 square units
O 25 square units
O 39 square units
O 47 square units
3
red paper
photograph
54 -3 -2 -1 1/2
3
5
X
Answer:
endo 2 17uni
Step-by-step explanation:
PLZ HELP ASAP!! NO FILESSSSSSSS
The closer to 1 the r value the closer the dots make a straighter line.
A positive value the distance move up to the right, a negative value the dots move down to the right.
A = r = -0.33
B = r = -0.75
C = r = 0.72
D = r = 0.89
Complete the function for this graph.
Answer:
k(x) = -2|x - (-3)| + 4
Step-by-step explanation:
Parent function for the graph is,
f(x) = |x|
If the parent function is vertically stretched by a scale factor of 2,
New function will be,
g(x) = 2|x|
If the function 'g' is reflected across x-axis,
h(x) = -2|x|
If the function 'h' is translated 3 units left and 4 units upwards, new function will be,
k(x) = -2|x - (-3)| + 4
what is the length of RS? no links.
Answer:
25 units
Step-by-step explanation:
TR = TQ
2x + 10 = 18
2x = 8
x = 4
RS = QS
RS = 9x - 11
RS = 9(4) - 11
RS = 25
The equation px²+px+3q=1+2x has roots 1/p and q
(a) Find the values of p and of q
Answer:
p = 2/3
q = 1/2
Step-by-step explanation:
The given equation is ,
[tex]\sf\to px^2 + px + 3q = 1 + 2x [/tex]
We can write it as ,
[tex]\sf\to px^2 + px + 3q - 1 -2x=0 [/tex]
Rearrange the terms ,
[tex]\sf\to px^2 - 2x + px + (3q -1)=0 [/tex]
This can be written as ,
[tex]\sf\to px^2 + x ( p - 2) + (3q -1) =0[/tex]
Now wrt Standard form of a quadratic equation ,
[tex]\bf \implies ax^2+bx + c = 0 [/tex]
we have ,
a = p b = p - 2 c = 3q - 1We know that product of zeroes :-
[tex]\to \sf q \times \dfrac{1}{p} = \dfrac{3q-1}{p } \\\\\sf\to 3q - 1 = q \\\\\sf\to 2q = 1 \\\\\sf\to \boxed{ q =\dfrac{1}{2}}[/tex]
Sum of roots :-
[tex]\to \sf q + \dfrac{1}{p} = \dfrac{2-p}{p} \\\\\sf\to \dfrac{ qp + 1}{p}= \dfrac{2-p}{p} \\\\\sf\to qp + 1 = 2 - p \\\\\sf\to p/2 + p = 1 \\\\\sf\to 3p/2 = 1 \\\\\sf\to \boxed{ p =\dfrac{2}{3}}[/tex]
I have a lot of algebra problems. Someone help me even with this one please!
Answer:
60
Step-by-step explanation:
Subsitute the number if large vehicles
5x + 10(50) = 800
5x + 500 = 800
5x =300
X =60
Answer:
60
Step-by-step explanation:
Substitute y = 50 into the equation and solve for x
5x + 10(50) = 800 , that is
5x + 500 = 800 ( subtract 500 from both sides )
5x = 300 ( divide both sides by 5 )
x = 60
That is 60 small vehicles were washed in total
if you were pouring juice into a cylindrical cup with a 2 inch radius and height of 8 inches. you want to fill it exactly half full, how many cubic inches of juice would you pour
Answer:
You would pour 50.3 in^3 of juice
Step-by-step explanation:
The term ‘cubic’ indicates volume
so in the context of this question, we are to calculate the volume of the cylinder, then we divide by 2
Mathematically, we have the volume of the cylinder as;
V = pi * r^2 * h
r = 2 inch
h = 8 inch
Since we are dividing the volume by 2 (exactly half full)
V = 1/2 * pi * 2^2 * 8
V = 50.3 in^3
If three children equally share half loaf of bread among themselves, what fraction will each get?
Answer:
1/6 of the bread
Step-by-step explanation:
Given data
Let the amount of the loaf of bread be 1
But they are expected to share half
hence the amount to be shared is= 1/2 bread
The number of children is 3
Hence
=1/2/3
=1/2*1/3
=1/6 bread
Hence each child will get 1/6 of the bread
Find the lowest common multiple of 180 and 140.
Hello,
In prime decomposition:
180=2²*3²*5
140=2²*5*7
lcm(180,140)=2²*3²*5*7=1260
Proof: 1260/180=7 and 1260/140=9
In a triangle ABC, a=4 cm, b=3 cm and angleC=30°, find the area of triangle ABC.
a. 6
b. 1.5
c. 3
d. 3 root 3
Pls help me with this set problem
(1) False. [tex]\{0\}\in\mathscr{U}[/tex] is saying "the set containing only 0 (that is, {0}) is an element of [tex]\mathscr U[/tex]", but this is not the case. [tex]\mathscr U[/tex] is the set containing only 0 and 1.
(2) True. [tex]\{0\}\subset\mathscr{U}[/tex] means "the set {0} is a subset of [tex]\mathscr{U}[/tex]". 0 itself is an element of [tex]\mathscr U[/tex], so {0} is indeed a subset of [tex]\mathscr U[/tex].
(3) True. 0 is clearly an element of [tex]\mathscr U[/tex].
(4) False. This statement says "0 is a subset of [tex]\mathscr U[/tex]" but 0 itself is not a set, it's a number.
Find x
Help me please
Answer:
19
Step-by-step explanation:
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Answer:
i dont know
Step-by-step explanation:
figure it out yourself
Help and explain !!!!!!!!!!!!!
Answer:
6x - 15
Step-by-step explanation:
f(x) = 2x + 3 and g(x) = 3x - 9.
[tex]f(g(x))=2(3x-9)+3\\f(g(x))=6x-18+3\\f(g(x))=6x-15[/tex]
which shows the numbers 1/10, 0.9, 3/10 in order from least to greatest
Answer:
1/10, 0.9, 3/10
Step-by-step explanation:
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The table represents a function
Which value is an output of the function?
46
f(x)
-2
-6
8
07
7
3
4
1-5
3
-2
-5
12
Answer:
Option (2)
Step-by-step explanation:
From the table attached.
First column is representing the x-values (input values) and second column is representing the value of the function (output values).
For x = -6,
f(x) = 8
For x = 7,
f(x) = 3
For x = 4,
f(x) = -5
For x = 3,
f(x) = -2
For x = -5,
f(x) = 12
Therefore, f(x) = -2 is one of the output values.
Option (2) will be the correct option.
The value that is an output of the function among the options is -2.
What is the output of a function?A function relates an input to an output.
A function relates each element of a set with exactly one element of another set.
Therefore, the output are the dependent variable. They are also called range.
Generally, they are regarded as range, output or dependent variables.
Therefore, the output of the table is f(x) values which includes the following:
83-5-2-12Hence, the output of the function in the option is -2.
learn more on functions here: https://brainly.com/question/26608835