Answers
Answer:
p = 2
Step-by-step explanation:
p + 4/p - 4
multiplying through by p,
p×p + 4/p ×p - 4×p
p² + 4 - 4p = 0
p² - 4p + 4 = 0
factorizing,
p(p - 2) -2(p - 2) =0
(p -2)(p -2) =0
p-2 =0
p=2
Related Questions
Find the slope of the line.
y
8
(10, 6)
6
4
2
(4, 1.2)
4 6 8 10 x
slope =
Answers
Answer:
[tex]\displaystyle m=0.8[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (4, 1.2)
Point (10, 6)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]\displaystyle m=\frac{6-1.2}{10-4}[/tex]Subtract: [tex]\displaystyle m=\frac{4.8}{6}[/tex]Divide: [tex]\displaystyle m=0.8[/tex]Answer:
[tex]slope = \frac{4}{5} [/tex]
Step-by-step explanation:
slope formula:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
use the two coordinates given in the graph to find the values
i) (10, 6)
x1 = 10
y1 = 6
ii) (4, 1.2)
x2 = 4
y2 = 1.2
substitute the values into the formula
[tex] \frac{1.2 - 6}{4 - 10} [/tex]
[tex] \frac{ - 4.8}{ - 6} [/tex]
[tex] \frac{4}{5} [/tex]
what is the domain of...
The answer is second pic !
Answers
Answer:
x >_ - 7
Step-by-step explanation:
A triangle is inscribed in a rectangle if each vertex of the triangle lies on a side of or at a vertex of the rectangle. This diagram shows shaded triangle ACE inscribed in rectangle ABDE. Find the number of square units in the area of shaded triangle ACE, if the area of the rectangle is 13.5 square units
Answers
Answer:
ITS MATH OLYMPIAD 2020 DEC 14
Step-by-step explanation:
HI
HELPPPPPPPPP MEEEE PLEEEASEEEEEEE! GIVING BRAINLIEST, FIVE STARTS AND THANKSSSSS
On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?
Answers
Answer: x=2, y=2, z=3
Step-by-step explanation: I hope this helps!
Alina bought an ice cream cone for $3. Her 4- ounce scope of ice cream is melting at rate of 0.5 ounces per minutes. Write an equation to represent the amount of ice cream left after x minutes.
Answers
Answer:
y=4-0.5x
Step-by-step explanation:
Step one:
given data
Alina bought an ice cream cone for $3
the weight of the ice cream is 4 ounce
the rate of melting is 0.5 ounce per minute
let the number of minutes taken for the ice cream to melt be x
and the weight after x minutes be y
Step two:
Hence the expression for the situation after x minutes is
y=4-0.5x
Zara has forgotten her 4-digit PIN code.
She knows the first digit is a factor of 10 and the 4 digits make a number divisible by 2.
How many different sets of 4 digits could it be?
Answers
Answer:
1500
Step-by-step explanation:
we can write the 4-digit PIN as ABCD
A = factor of 10 so,
A = 1, 2 ,5 (3 possible number or we can write n(A) = 3
B and C are number from 0 - 9 so each have 10 possible number n(B) = 10 and n(C) = 10
D makes the whole number cannbe divide by 2. it means that D must even number 2,4,6,8 or 0. so there are 5 possible number n(D) = 5
so to find how many different sets we just multiply all possible number
n(A) x n(B) x n(C) x n(D)
3 x 10 x 10 x 5 = 1500 different sets
WILL GIVE BRAINLIEST
What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)?
A. 3x+ 5y =-9
B. 3x+5y = 9
C. 5x-3y=-15
D. 5x-3y = 15
Answers
Pete read 35 pages in 2.5 hours how long would it take Pete to read 80 pages?
Answers
how do I solve this?
Answers
Answer:
We conclude that the range of the function will be:
R = {5, 17, 29}
Step-by-step explanation:
Given
Given the function
f(x) = 6x-1
Given the domain
D = {0, 3, 5}
To Determine:
The range R = ?
We know that range of the function consists of all the y-values for the x-values in the domain of the function.
so substituting the values of x = 0, 3, and 5 in the function to determine the corresponding y-values.
Plug in x = 0
y = 6x-1
y = 6(0) - 1 = 6-1 = 5
Plug in x = 3
y = 6x-1
y = 6(3) - 1 = 18-1 = 17
Plug in x = 5
y = 6x-1
y = 6(5) - 1 = 30-1 = 29
Now, combine all the determined y-values which are 5, 17, and 29.
Therefore, we conclude that the range of the function will be:
R = {5, 17, 29}
Please help, 30 points plus brainliest.
What are the coordinates of a point P(x, y) after a dilation with respect to the origin by a scale factor of k?
Answers
Answer:
(kx, ky)Step-by-step explanation:
Dilation with respect to origin by a scale factor k will result in:
P(x, y) → P'(kx, ky)Which mathematical equation correctly represents the statement, 6 less than twice the difference of a number and 8 is equal to 14?
Answers
Answer:
2(n-8)-6=14
Step-by-step explanation:
A salesman gets a basic wage of £160 per week plus a commision of 30%
of the sales he makes that week.
In one week his total wage was £640
Work out the value of the sales he made that week.
Please help, I really need this answered. Will award brainliest.
Answers
Step-by-step explanation:
total profit or income =640+160=800the # means that the answer is ready in my openion i think
Step-by-step explanation:
30÷100×640=192
total income =160+192
=352
weekly sales=?(x)
wage=640
so...
x×0.3+160=640
0.3x=640-160
0.3x=480
x=480÷0.3
x=1600
the weekly sales is 1600
I am just trying...not sure about the answer..just check
Carlos's restaurant check is for $24.50. If he wants to add a 17% tip, what total amount should he pay?
Answers
Second, you need to find out what 17% of your $24.50 meal cost is.This is always done by multiplying 0.17 by $24.50
0.17 x $24.50=$4.16.
So, the amount of tip you are going to leave is $4.16.
This makes the total cost of your meal (to write on your charge slip or other payment)
$24.50 + $4.16 = $28.67.
Answer:
28.67
Step-by-step explanation:
The difference between the two numbers is 6. Twice the first number, decreased by the second number is 30. Find the two numbers.
Answers
Answer:
??? can you explain it better
Step-by-step explanation:
Solve for x
A. 27 B. 37 C. 30 D. 31
Answers
Answer:
A
Step-by-step explanation:
i think
Graph two more functions in the same family
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
We know that the slope-intercept of the line equation is
[tex]y = mx + b[/tex]
where m is the slope and b is the y-intercept
Please note that a linear equation contains no powers of x besides.
For example, the equation of the form
y = 2x+3
has the slope m = 2 and y-intercept b = 3
The graph is shown below.
Let us graph two more functions of the same family by changing the parameter of y-intercept b.
Graphing y = 2x+5
y = 2x + 5
has same slope m = 2. But, the y-intercept b = 5
The graph of y = 2x+5 is attached below.
Graphing y = 2x+7
y = 2x + 7
has same slope m = 2. But, the y-intercept b = 7
The graph of y = 2x+7 is attached below.
Thus, we would have the following graphs of the family of linear functions.
y = 2x+3y = 2x + 5y = 2x + 7Please notice that all the functions have the same slope m = 2. Thus, all the lines would be parallel.
Thus, from the graph, it is clear that:
The red line represents the function y = 2x+3 with the y-intercept (0, 3)The blue line represents the function y = 2x+5 with the y-intercept (0, 5)The green line represents the function y = 2x+7 with the y-intercept (0, 7)The graph is attached below.
-6 > -9
Which best explains whether the inequality is true or false?
Answers
Answer:
-6 on a number line is closer to 0 which make sit greater while -9 is farther away which makes it less than -6
Step-by-step explanation:
Answer:
True.
Step-by-step explanation: Because -9 is less than -6 because -6 is a bigger number than -9.
the image of point A under a 90° rotation about the origin is A'(10, -4). What are the coordinates of point A?
Answers
Given:
The image of point A under a 90° rotation about the origin is A'(10, -4).
To find:
The coordinates of point A.
Solution:
90° rotation about the origin means the figure is rotated 90° counterclockwise about the origin and the rule of rotation is
[tex](x,y)\to (-y,x)[/tex]
Let the coordinates of A are (a,b).
[tex]A(a,b)\to A'(-b,a)[/tex]
The image of point A under a 90° rotation about the origin is A'(10, -4).
[tex]A'(-b,a)=A'(10,-4)[/tex]
On comparing both sides, we get
[tex]-b=10\Rightarrow b=-10[/tex]
[tex]a=-4[/tex]
Therefore, the coordinates of point A are (-4,-10).
I will give brainliest!!!! What is the area of a circle with a circumference of 16?
Answers
Answer:
20.37183...
hope this helps!
Answer:
Step-by-step explanation:
the area is 20.37 if u need the steps just add a comment and ill show the steps
60 milligrams = ______ km
Answers
The value of 60 milligrams after unit conversion is 0.00006 Kg.
What is Unit Conversion?A unit conversion expresses the same property as a different unit of dimension. For case, time can be expressed in twinkles rather of hours, while distance can be converted from long hauls to kilometers, or bases, or any other measure of length.
A conversion factor is an expression for the relationship between units that's used to change the units of a measured volume without changing the value.
We have to convert 60 mg to Kg.
As, 1 Kg = 1000 g
and, 1 gm = 1000 mg
So, 1 mg = 1/ 1, 000, 000 Kg
Then, the conversion is
= 60 / 1, 000, 000
= 6/ 100,000
= 0.00006 Kg
Learn more about Unit Conversion here:
https://brainly.com/question/19420601
#SPJ2
.Ileana is going to plant 12 small plants around the edge of a circular garden that is 10 feet in diameter. If she spaces the plants evenly, how much distance will be between the plants?
Answers
Answer:
e
Step-by-step explanation:
e
Answer:
an inche
Step-by-step explanation:
what's the product plz help
-8(5) = ___
Answers
8x+5x
please help me answer that question thanks !
Answers
Answer:
13x
Step-by-step explanation:
8x+5x
13x (collect the like terms)
Determine the intercept of the line.
Y-intercept : ( ) , ( )
X- intercept : ( ) ( )
Answers
Answer:
Y: (0) (0.4)
X: (0.3) (0)
Step-by-step explanation:
prove me wrong
what is the value of i=1
Answers
Answer:
choice D
Step-by-step explanation:
78Which functions can have a vertex?
Answers
Answer:
quadratic functions have a vertex
How many sides does a regular polygon have if each of its interior angles is 140 degrees?
- Step by step explanation
Answers
Method 1: Since the interior angle 140 degrees, the supplement of this is the exterior angle and equal to 40 degrees. Hence the number of sides is 360/40 = 9 sides.
Simplify: 3(2x+7)-2(x+5)
Answers
Answer:
4x-11
Step-by-step explanation:
1. Distribute
6x+21-2x-10
2. Subtract the same numbers
3. You have your answer.
Answer:4x+11
Step-by-step explanation:
Convert 40 yards to feet.
40 ft =?
Answers
Answer: 120 ft
Step-by-step explanation:
1 yard = 3 feet
40 yards = 120 feet
40*3=120
Rewrite the equation below so that it does not have fractions.
2-2/3x=3/7
Do not use decimals in your answer.
Answers
Answer:
42 - 14x = 9
Step-by-step explanation:
Given
2 - [tex]\frac{2}{3}[/tex] x = [tex]\frac{3}{7}[/tex]
Multiply through by 21 ( the LCM of 3 and 7 ) to clear the fractions
42 - 14x = 9 ← with no fractions
Answer:
14x - 33 = 0
Step-by-step explanation:
2 - (2/3) x = 3/7
6 - 2x = 9/7 (multiply 3)
42 - 14x = 9 (multiply 7)
14x - 33 = 0