The solution of the quadratic equation is x=5±√35 .
A quadratic equation is given by the equation which can be written in the form ax²+bx +c.
There are two solution of x for a quadratic equation. the graph of a quadratic equation is in the shape of a parabola in the cartesian plane.To solve a quadratic equation various methods are used:Completing of squaresMiddle term factorizationusing the quadratic formulathe given quadratic equation is :
x²-10x+25=35
Simplifying the equation we get:
or, x²-10x+25-35=0
or, x²-10x-10=0
Now we will solve the equation by completion squares method:
x²-10x-10=0
or, x²-2×x×5+5²-5²-10=0
or, (x-5)²=35
or, x-5=±√35
or, x= 5±√35
Therefore the solution of the quadratic equation is 5+√35 and 5-√35 .
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Write an algebraic expression for “the quotient of 16 and b”.
A.
16 + b
B.
16 - b
C.
16 * b
D.
16 ÷ b
Answer: D
Step-by-step explanation:
Quotient means division
The function f is defined as follows
h(x)=-4x^2+6
if the graph of h is translated vertically downward by 5 units, it becomes the graph of function g
FIND THE EXPRESSION FOR G(X)
Answer:
g(x)=-4x²+6
Step-by-step explanation:
Subtract 5 from -4x²+6.
-4x²+6-5=-4x²+1
g(x)=-4x²+6
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6 divied by 6.48 how to slove it
It should be noted that dividing 6 by 6.48 will be 0.926.
Whst is division?It should be noted that division simply means the separation of the numbers that are given.
In this case, we want to divide 6 by 6.48. It should be noted that 6 can be multiplied by 109 making 600 and 6.48 will be 648.
The division will be:
= 600 / 648
= 25/27
= 0.926.
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The submarine is descending at a rate of 4.2 feet per minute. How many feet below sea level is the submarine at after 5 minutes.
But the multiplication problem below.
Answer:
21
Step-by-step explanation:
4.2*5=21 hope this helps
math wizards please help i need more help afterwards please
Answer: 32 copies $3170
Step-by-step explanation:
what is the slope, y intercept, and equation
Answer:
y=3x-7
Step-by-step explanation:
Choose 2 points.
(3, 2) and (4, 5)
Use slope formula.
y2-y1/x2-x1
5-2/4-3=
=3/1=3
Slope is 3.
The y-intercept is when x is 0. The y-intercept was already given. It is -7.
Y-intercept is -7.
Now you can use the slope-intercept formula.
y=mx+b
m=slope=3
b=y-intercept=-7
y=3x-7
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Solve for x.
-(-2–5x)+(−2)=18
0x = -90
- 188
5
O
X =
0x =
O x = 90
18
5
Answer:
The answer is x=18/5
Step-by-step explanation:
how let us try it
-(-2–5x)+(−2)=18
2+5x-2=18
5x=18
x=18/5
Translate the sentence into an equation.
Four more than the product of a number and 3 is equal to 5.
Use the variable c for the unknown number.
0
0=0
ローロ
X
8 0+0
メロ
S
The correct answer 4+3w=5.
Variables in an equation are typically English alphabets and can have any real value that the equation is satisfied with. They also include coefficients and constants. In an equation, constants are the independent numbers for the variables, and coefficients are the numbers connected to the variables. Algebraic equations with orders equal to one or one are known as linear equations.
An analytical claim that two things are equal is known as an equation. Either a term or an expression are present in an equation. An equation is a statement of equality in mathematics that contains one or more variables.
Let the unknown variable be w,
4+(w×3)=5
4+3w=5
Solving ,
3w=5-4
3w=1
w=1/3
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Help please. I don't have long lol
Answer:
A
Step-by-step explanation:
Like terms have the same______ and the same______.
Answer:
variables like terms are terms that contain the same varibles raised to the same power
Use the number line below, where RS = 3y +5, ST = 2y + 3, and RT = 48.
Answer: y=8
Step-by-step explanation:
RT=RS+ST
48=3y+5+2y+3
48=3y+2y+5+3
48=5y+8
5y=40
y=8
1.8x ≤ 4x + 4(3.2x+6)
I need help with this question
can someone help me with this problem?
Using complementary angles, the measure of angle 4 is of 39º.
What are complementary angles?If two angles A and B are complementary, the sum of their measures is of 90º.
In this problem, angles 3 and 4 are complementary, hence:
m<3 + m<4 = 90º.
Angles 1 and 3 are opposite by the same vertex, hence they are congruent and we can find x as follows:
m<1 = m<3
4x - 13 = 2x + 19.
2x = 32
x = 16.
The measure of angle 3 is given by:
m<3 = 2(16) + 19 = 51.
Hence the measure of angle 4 is found as follows:
m<3 + m<4 = 90º.
51 + m<4 = 90º.
m<4 = 39º.
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6.411
The rounded answer is
Answer:
Step-by-step explanation:
6.411=
6.411=6.4
pls, help I don't understand this.
The dimensions of rectangle B are 4.5 inches by 3 inches. So the correct option is the first one.
What are the possible dimensions of rectangle B?
We know that the dimensions of rectangle A are 6cm by 4cm, and rectangle B is similar to rectangle A, then the two rectangles have the same shape but different size.
Notice that the ratio between the dimensions of rectangle A is:
R = 6/4 = 3/2 = 1.5
Then, any other rectangle with the same ratio will be similar to rectangle A.
If we take the ratios for the options we get:
1) 4.5 in by 3 in:
R = 4.5/3 = 1.5
So yes, this rectangle is similar to rectangle A, then these can be the dimensions of rectangle B.
Then we conclude that the dimensions of rectangle B are 4.5 inches by 3 inches, and thus, the correct option is the first one.
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At the rate of 4 peaches for a half dollar, 20 peaches will cost
Answer:
$2.50
Step-by-step explanation:
a building contains 24 rooms in total, 9 of the rooms are on the top floor 7 of the roooms have red walls. 2 of the rooms on the top floor also have red walls work out the possibility that a room is picked at random that is neither on the top floor and doesnt have red walls give your answer as a fraction in its simplist form
Answer:
Step-by-step explanation:
18/24=3/4
Dan bought 5 new baseball trading cards to add to
his collection. The next
day his dog ate half of his collection. There are now
only 32 cards left.
How many cards did Dan start with ?
Answer: 59
Step-by-step explanation:
just multiply 32x2 and then subtract 5 and u wil get 59
in 2018, the population density in singapore was 21,400 residents per square mile. what is the population density of singapore in residents per square kilometer? (note that 1 mi
In terms of persons per square kilometer, Singapore has a population density of 8266.12
What is Population Density?The amount of people in a given region per unit area is known as population density.
In 2018, Singapore had a population density of 21,400 people per square mile.
The parameters provided are
There are 21400 inhabitants in total.
Area = 1 square mile,
The square kilometer to square mile conversion
1 x 1.609² = 2.588881 Km²
Residents per square mile divided by the population
21400 x 2.588881 is the population density.
8266.12 people are found in every square kilometer.
As a result, Singapore has a population density of 8266.12 persons per square kilometer.
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Solve the following equation.
5(m-1)=-25
Two strait lengths of wire are placed on the ground forming vertical angles. if the mesure of one of the angles formed is 72 what are the other three angles
The other three angles are 72° , 108° and 108°.
Two strait lengths of wire are placed on the ground forming vertical angles. The measure of one of the angles formed is 72° . We know that sum of all four angles will be 360°. We also know that the vertical angles are congruent. If the measure of one angle out of four angles is 72° and straight lines equal 180°. So, we need to subtract 72° from 180°.
180° - 72° = 108°
The other angle will be 108°. As the vertical angles are equal, so the four angles will be 72° , 72° , 108° and 108°.
The other three angles are 72° , 108° and 108°.
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Write a recursive function called digit_count() that takes a positive integer as a parameter and returns the number of digits in the integer.
The count of integers is returned to the main function at the end of the function.
What are recursive functions?A recursive function is one that calls itself while running. The process may be repeated several times, with the result and the end of each iteration output. The function Count() below employs recursion to count from 1 to 10 using any number between 1 and 9.So,
The Python recursive function DigitCount(), which uses comments to explain each line, is as follows:
#This defines the function
def countdigits(n):
#If the integer is less than 10
if n< 10:
#Then the integer has 1 digit
return 1
#Otherwise,
else:
#Count the number of integers
return 1 + countDigits(n / 10)
At the end of the function, the count of integers is returned to the main function.
Therefore, the count of integers is returned to the main function at the end of the function.
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The box plot shows the ages of 240 people at a movie screening how many people are the movie screening are under 20 years old round the nearest 10th
The number of people that are below 20 years is 60.
How many people are below 20 years?A box plot is used to study the distribution and level of a set of scores. The box plot consists of two whiskers and a box. The first line on the box represents the upper quartile. 25% of the observation is below the upper quartile.
In this question, the upper quartile is 20 years
Number of people under 20 years : (25 / 100) x 240 = 60 people
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37-x>40 whats the answer?
Answer: x<-3 ( -∞,-3)
Step-by-step explanation:
At the fast food restaurant, an order of fries costs $0.88 and a drink costs $1.03. how much would it cost to get 5 orders of fries and 4 drinks? how much would it cost to get ff orders of fries and dd drinks?
Answer: $8.52
$(0.88f+1.03d)
Step-by-step explanation:
a=cost of fries. b=cost of drink.
5a+4b=
5(0.88)+4(1.03)=
4.4+4.12=
4.40+4.12=$8.52
f=number of fries. d=number of drinks
fa+db=
0.88f+1.03d=$(0.88f+1.03d)
IMPORTANT HELPP
What type of transformation is this? Be specific
Answer:Translation
Step-by-step explanation:
PLEASE HELP ME!
The length of the rectangular shed is 2x^2 + 3x - 1 feet, and the width is x + 4 feet. Write polynomials that represent the perimeter and area. Calculate the perimeter and area if x = 10 feet. Include correct units of measure
Answer: You would replace the x's with 10.
New equations: 2 . 10^2 + 3 . 10 - 1 & 10 + 4
2 . 10^2 + 3 . 10 - 1 = 229
10 + 4= 14
Area = 3,206 feet
Perimeter = 486 feet
(Sorry I could not write the polynomials.)
How to find and get the answers and solution?
Answer:
soloman king story class 8 gramer
Is the option I chose correct? Please help FAST!!!
Answer: that should be the answer i did that question i think