Answers
We have a linear function y=kx+b and we know that [tex]\displaystyle\bf \left \{ {{5*1+c=2} \atop {5p+c=-2}} \right.=>\left \{ {{c=-3} \atop {5p+c=-2}} \right. => 5p-3=-2 => p=\frac{1}{5}[/tex] [tex]\displaystyle\bf Answer: \boxed{C) \quad p=\frac{1}{5} }[/tex]
Related Questions
A penny-farthing is a bicycle with a very large front wheel and a much smaller back wheel. Penny-farthings were popular in the 1800s and were available in different sizes. Suppose the diameter of one particular penny-farthing's front wheel is inches and the ratio of the diameter of the front wheel to the diameter of the back wheel is :1. What is the circumference of the back wheel? Use 3.14 for. The circumference of the back wheel is nothing inches.
Answers
Answer:
The circumference of the back wheel is 2.62 inches
Step-by-step explanation:
Given
[tex]d_1 = 5in[/tex] --- diameter of front wheel
[tex]d_1 : d_2 = 3:1[/tex] --- ratio of the diameters
Required
The circumference of the back wheel
First, we calculate the diameter of the back wheel.
We have:
[tex]d_1 : d_2 = 3:1[/tex]
Substitute: [tex]d_1 = 5in[/tex]
[tex]5in: d_2 = 3 : 1[/tex]
Express as fraction
[tex]\frac{d_2}{5in} = \frac{1}{3}[/tex]
Make [tex]d_2[/tex] the subject
[tex]d_2 =5in * \frac{1}{3}[/tex]
[tex]d_2 = \frac{5}{3}\ in[/tex]
So, the circumference (C) of the back wheel is:
[tex]C =\pi d[/tex]
[tex]C = 3.14 * \frac{5}{6}\ in[/tex]
[tex]C = \frac{3.14 * 5}{6}\ in[/tex]
[tex]C = \frac{15.7}{6}\ in[/tex]
[tex]C = 2.62\ in[/tex]
The length and width of a rectangular box
are represented by 2x+3 and 3x + 1 respectively.
What is the area of the box expressed as a polynomial
in standard form?
Answers
Answer:
[tex]6x^2+11x+3[/tex]
Step-by-step explanation:
Area of a rectangle = length x width
[tex](2x+3)(3x+1) = ?[/tex]
[tex]6x^2+2x+9x+3[/tex]
what are the 3 basic steps to writing equations
Answers
Answer:
Putting things in the right place
Reading the question
Using the correct symbol
Step-by-step explanation:
Putting things in the right place is very important
Example: 2+2=4
If I accidently did 2+4=2 then the answer would be incorrect.
Reading the question
You could read a question wrong in an exam so you may answer incorrectly, so if you finished the exam then always check your answers
Using the correct symbol is important because you could know the answer but write the wrong symbol and not get the mark
I hoped this helped!
Answer? Please ASAP I mark as brainlist please ASAP
Answers
Answer:
b. (x-3)(x+2)
Step-by-step explanation:
y=x^2-x-6
y=x^2-3x+2x-6
=x(x-3)+2(x-3)
=(x-3)(x+2)
Pick the geometric term that matches the real-world object. rectangular prism sphere cylinder triangular prism cube
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Answer:
Assuming this is the book one the answer is rectangular prism.
!$P¡D£R €ŁÆŃ!!$P¡D£R €ŁÆŃ!
Answers
Answer:
A is correct because there are only 2 sides to flip to, giving it a probability of 0.50, or 1/2 that they will lands heads up.
Answer:
I would go with D
Step-by-step explanation:
Because there are 4 possibilities.
1) they both land heads up
2) they both land tails up
3) one lands heads up and the other tails up
4) one lands tails up and the other heads up
Hope this helps!
Find the measure of angle "b"
Answers
Answer:
43°
Step-by-step explanation:
Angle B is congruent to the opposite angle.
someone PLSSS HELP fast !! pls give rightt answer :( PLS
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Answer:
the first one, 64(-1/2)^(n-1)
Step-by-step explanation:
To go from one number to the next, we first start with 64, so everything is multiplied by that. Next, 64 turns into -32, and (-32)/64 = -1/2. Similarly, 16/-32 is -1/2, and -8/16 is -1/2 as well. Therefore, we have to multiply each number by -1/2 a number of times. For example, to get from 64 to 16, we have to multiply 64 by negative one half 2 times. The only option with -1/2 in the multiplier is the first one, making that our answer
pls help and explain thank you and love u (on pic)
Answers
Answer:
(x+1)(2x+5)
Step-by-step explanation:
Find the value of BC B 4x - 10 C A D 3x + 5
Answers
Answer:
BC = 50
Step-by-step explanation:
BC = AD in a parallelogram
4x-10 = 3x+5
Subtract 3x from each side
4x-3x-10 = 3x-3x+5
x-10 = 5
Add 10 to each side
x-10+10 = 5+10
x = 15
BC = 4x-10 = 4*15-10 = 60-10 = 50
Answer:
BC = 50
Step-by-step explanation:
BC = AD
4x - 10 = 3x + 5
4x - 3x = 5 + 10
x = 15
for BC
4x - 10
4*15 - 10
60 - 10
50
Is this statement true or false?
A down payment is paid before you begin monthly payments.
true
false
Answers
Answer:
True
Step-by-step explanation:
A down payment is mostly for deposit reasons with insurance. It also let's the landlord know you will be moving in soon. They will use that money for repairs when you move out. You have a chance of getting it pack if they find no damages :D
Given <2 and <4 are the vertical angels. Prove <2≅ <4
Answers
Answer:
Angle 2 = Angle 4 ( vertically opposite angles)
The binomial (y − 2) is a factor of y2 − 10y + 16. What is the other factor?
(y − 5)
(y + 5)
(y − 8)
(y + 8)
Answers
Answer:
(y - 8)
Step-by-step explanation:
If you factor the original expression, y^2 - 10y + 16, you get (y-2)(y-8) so (y-8) is the other factor. You could also test this by multiplying (y-2)(y-8) together and seeing if you get the original expression.
Answer:c) y-8
Step-by-step explanation:
Factors of polynomial 3xsquare +x-4
Answers
Answer:
(3x + 4)(x - 1)
Step-by-step explanation:
3x^2 + x - 4
use middle term break method
we need two number which gives 12 when multiplied and 1 when subtracted
3x^2 + (4 - 3)x - 4
3x^2 + 4x - 3x - 4
x(3x + 4) -1(3x + 4)
(3x + 4)(x - 1)
Answer:
(x - 1)(3x + 4)
Step-by-step explanation:
Given
3x² + x - 4
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 4 = -12 and sum = + 1
The factors are - 3 and + 4
Use these factors to split the x- term
3x² - 3x + 4x - 4 ( factor the first/second and third/fourth terms )
= 3x(x - 1) + 4(x - 1) ← factor out (x - 1) from each term
= (x - 1)(3x + 4) ← in factored form
I need to find the value of x and the measure of the exterior angle
Answers
Given:
In a right angle triangle, the measure of exterior angle is [tex](9x+16)^\circ[/tex].
The measure of opposite interior angle is [tex](5x-14)^\circ[/tex].
To find:
The value of x.
Solution:
Exterior angle theorem: In a triangle the measure of an exterior angle is equal to the measure of sum of two interior angles.
Using exterior angle theorem, we get
[tex](9x+16)^\circ=90^\circ+(5x-14)^\circ[/tex]
[tex](9x+16)^\circ=(5x+76)^\circ[/tex]
[tex]9x+16=5x+76[/tex]
Isolate the variable x.
[tex]9x-5x=-16+76[/tex]
[tex]4x=60[/tex]
[tex]x=\dfrac{60}{4}[/tex]
[tex]x=15[/tex]
The value of x is 15. So, the measure of the exterior angle is:
[tex](9x+16)^\circ=(9(15)+16)^\circ[/tex]
[tex](9x+16)^\circ=(135+16)^\circ[/tex]
[tex](9x+16)^\circ=151^\circ[/tex]
Therefore, the value of x is 15 and the measure of the exterior angle is 151 degrees.
The linear scale factor of two similar shapes is in ratio 3:4 if the area of the smaller shape is 72cm, find the area of the bigger shape
Answers
Answer:
128 cm²
Step-by-step explanation:
Given linear scale factor of 2 similar shapes = a : b , then
ratio of areas = a² : b²
Here linear scale factor = 3 : 4 , then
ratio of areas = 3² : 4² = 9 : 16
let x be the area of the larger shape then by proportion
[tex]\frac{9}{72}[/tex] = [tex]\frac{16}{x}[/tex] ( cross- multiply )
9x = 1152 ( divide both sides by 9 )
x = 128
That is area of larger shape is 128 cm²
PLEASE help me! 50 Points
What is the Inverse of
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Answer:
hmm what could it be I DNT kno
Work out the area of a rectangle with base, b = 34mm and perimeter, P = 86mm.
Answers
Answer:
306mm²
Step-by-step explanation:
the height h = 86/2 -34 = 43-34=9mm
the area = 34×9= 306mm²
Answer: (I am assuming this is 2D?)
Two bases together: 34 * 2
68
Two lengths together is p - two bases:
18
Individual length:
9
Area is base times length
9 * 34
306mm
is anyone good with Trigonometry word problems?
Answers
Answer:
maybe
Step-by-step explanation:
but what help do u want?
Which value of x satisfy the following equation 24x - 18 - 18x - 30 = 96
Answers
Answer:
(24x-18x)( -18-30)
6x-48
WILL MARK BRAINLIEST!
given m(x)= 2x-9 and p(x)=4x+8
What is (m+p)(x)
Answers
Answer:
6x-1
Step-by-step explanation:
m(x)= 2x-9
p(x)= 4x+8
(m+p)(x) = 2x-9+4x+8
= 6x-1
In ΔXYZ, x = 71 cm, y = 91 cm and z=71 cm. Find the area of ΔXYZ to the nearest square centimeter.
Answers
Answer:
2479.95
Step-by-step explanation:
i worked out that guys problem who wouldnt work it out for you.
What is the product?
(6 r- 1)(- 8 r- 3)
Answers
Answer:
-48[tex]r^{2}[/tex] - 10r + 3
Step-by-step explanation:
FOIL method
First : (6r) · (- 8r) = - 48[tex]r^{2}[/tex]
Outer : (6r) · (-3) = -18r
Inner : (-1) · (-8r) = 8r
Last : (-1) · (-3) = +3
combine like terms
. In an enlargement with scale factor 2, which of the following statements is not true?
A. Each length is multiplied by 2
B. Each angle remains the same
C. The shape of the figure does not change.
D. The size of the figure does not change
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Answer:
option B , C , D
Step-by-step explanation:
Enlargemet is a rule which transfers an object into an object of the same form by enlarging its size in a given ration.
Remember
If k > 1 , the given object is enlarged. Since the scale fator (k) is 2 and it is greater than 1 the size of the figure enlarges . So according to this definition option B , c and d are incorrect.
only option A satisfies . So out of all these statements only option A is true.
formula :
(x , y) = (kx , ky) ( k means scale factor)
here scale factor is multiplied to the coordinate x and y.
since the scale factor is 2 it means that the length or the value of both x and y coordinate is multiplied by 2.So, it is true . And rest are not true.
find the area of the polygon.
( help please )
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Answer:
The area of the polygon will be 8 unit square.
If you draw lines from each point you will find 6 squares and 4 triangles. Since area of triangle is half than that of square, you can count two traingles to be equal of a square.
Can you ride a bike 5 miles?
Answers
Answer:
yes you physically can
Step-by-step explanation:
Encik Basra’s age is four times his child’s age. 4 years ago, Encik Basri’s age is six times his child age. Find the age of Encik Basri’s child now.
Answers
Answer:
4 + 6 = 10 * 4 =40
Step-by-step explanation:
sana makatulong
His child is 10 years old.
What is algebraic expression?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.
Given
Assume now his child's age is x
4x-4 = 6(x-4)
4x-4 = 6x - 24
-4+24 = 6x-4x
20 = 2x
x=10
His child is 10 years old.
To learn more about algebraic expressions refer to:
https://brainly.com/question/19864285
#SPJ2
A regular pentagon has a perimeter of 60 cm.
A regular pentagon has a perimeter of 60 centimeters and center point B. Radii B A and B D are drawn to form triangle A B D. Apothem B C is drawn to split the triangle into 2 right triangles.
What is the measure of angle CBD?
°
What is the length of segment CD?
cm
Which trigonometric ratio can be used to compare BC to CD using angle CBD?
What is the approximate length of BC?
cm
What is the approximate length of BD?
cm
Answers
Answer:
36˚
6 cm
tangent
8.3 cm
10.2 cm
Step-by-step explanation:
The side lengths of the regular pentagons are congruent
What is the measure of angle CBD?A pentagon has 5 sides, and the central angle is 360°.
Calculate the measure of ABD using:
ABD = 360°/5
ABD = 72
The measure of CBD is half the measure of ABD.
So, we have:
CBD = 0.5 * 72
CBD = 36
Hence, the measure of CBD is 36 degrees
What is the length of segment CD?A pentagon has 5 sides, and the given perimeter is 60 cm
Calculate the length of AD using:
AD = 60cm/5
AD = 12
The length of CD is half the length of ABD.
So, we have:
CD = 0.5 * 12
CD = 2
Hence, the length of CD is 6 cm
cm
Which trigonometric ratio can be used to compare BC to CD using angle CBD?Using the angle CBD, the trigonometric ratio can be used to compare BC to CD is the tangent ratio
What is the approximate length of BC?We have:
tan(CBD) = CD/BC
Make BC the subject
BC = CD/tan(CBD)
Substitute known values
BC = 6/tan(36)
Evaluate
BC = 8.3 cm
Hence, the approximate length of BC is 8.3 cm
What is the approximate length of BD?By Pythagoras theorem, we have:
BD^2 = BC^2 + CD^2
This gives
BD^2 = 8.3^2 + 6^2
Take the square root of both sides
BD = 10.2 cm
Hence, the approximate length of BD is 10.2 cm
Read more about regular pentagons at:
https://brainly.com/question/14961220
Are these relations a function? Yes or no.
{(–1,5), (2, -1),(4,3), (9,-4), (11, 1)}
Answers
Function is a set of ordered pairs where there cannot be same x-values or repetitive domain in a set.
For example below below:
{(1,1),(2,3),(3,3),(4,5)}The following relation is a function since there are no same x-values in a set.
{(1,1),(1,2),(2,2),(4,8)}The following relation is not a function since there are same two x-values which is D = {1} or (1,1) and (1,2) both have same domain. Thus, not making the relation a function.
From the question, the relation is a function because in a set of ordered pairs, there aren't any same x-values.
Answer
Yes, the following relation is a function.Find the second number
Answers
[tex]\huge\bold{Given :}[/tex]
Product of two numbers = 1.875
One of the number = 2.5
[tex]\huge\bold{To\:find :}[/tex]
The second number.
[tex]\huge\bold{Solution :}[/tex]
[tex]\sf\blue{The \:second\:number \:is\:0.75 .}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Let the second number be [tex]x[/tex].
As per the question, we have
[tex]Product \: \: of \: \: the \: \: two \: \: numbers = 1.875 [/tex]
[tex]⇢ \: 2.5 \times x = 1.875[/tex]
[tex]⇢x = \frac{1.875}{2.5} [/tex]
[tex]⇢x = 0.75[/tex]
[tex]\sf\purple{Therefore,\:the\:second\:number\:is\:0.75.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex]2.5 \times x = 1.875[/tex]
[tex]➪ \: 2.5 \times 0.75 = 1.875[/tex]
[tex]➪ \: 1.875 = 1.875[/tex]
➪ L. H. S. = R. H. S.
Hence verified.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]