Answer:
Logarithms were invented in the 17th century as a calculation tool by Scottish mathematician John Napier (1550 to 1617), who coined the term from the Greek words for ratio (logos) and number (arithmos
What are the roots of the equation 16x² + 16x + 5 = 0 in simplest a + bi form?
Answer:
Below in bold.
Step-by-step explanation:
Using the quadratic formula :
roots = [-16 +/-√(16^2 - 4*16*5)] / (2*16)
= -0.5 +/- √(-64) /32
= -0.5 +/- 8i/32
= -0.5 + 0.25i and -0.5 - 0.25i
[tex]\sf\longmapsto 16x^2+16x+5=0[/tex]
[tex]\sf\longmapsto x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm\sqrt{16^2-4(16)(5)}}{2(16)}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm√256-320}{32}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm√-64}{32}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm8i}{32}[/tex]
[tex]\sf\longmapsto x=\dfrac{-2\pm i}{4}[/tex]
[tex]\sf\longmapsto x=\dfrac{-1}{2}\pm\dfrac{1}{4}i [/tex]
Given that the line is x/3 + y/2 =1
i ) make y the subject
ii ) gradient of line
Answer:
see explanation
Step-by-step explanation:
(i)
[tex]\frac{x}{3}[/tex] + [tex]\frac{y}{2}[/tex] = 1 ( multiply through by 6 to clear the fractions )
2x + 3y = 6 ( subtract 2x from both sides )
3y = - 2x + 6 ( divide through by 3 )
y = - [tex]\frac{2}{3}[/tex] x + 2
(ii)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope ( gradient ) and c the y- intercept )
y = - [tex]\frac{2}{3}[/tex] x + 2 ← is in slope- intercept form ( that is part (i)
with gradient m = - [tex]\frac{2}{3}[/tex]
Jasmine is reading a book. She has finished 23 of the book and has 56 pages left to read. How many pages has she read
Answer:
She would have 33 more pages left.
Step-by-step explanation:
You would want to subtract 23 from 56.
Which numbers are a distance of 2 units from 8 on a number line?
Answer: 6 & 10
Step-by-step explanation:
6 and 10 are 2 units away from a positive 8 on the number line
what number x 9 is 57
6×9=57
Step-by-step explanation:
get a multiplication chart and find the answer
Answer:
6.33
Step-by-step explanation:
6.33 x 9 = ~57
the quick brown fox jumped over the lazy dog.
In the first two hockey games of the year, Roland played 1 ½ periods In each of two games. How many periods in all did he play?
Answer:
2.42
Step-by-step explanation:
I AM VERY SORRY IF ITS WRONG
HELP PLSSSSSSSSSSSS
Answer:
just open a spreadsheet and put the numbers of students in one line, and the hours worked on another, and select all and create a graph
Step-by-step explanation:
How do you Form an equation for x and then solve to find the value of x
9514 1404 393
Answer:
x = 38.2
Step-by-step explanation:
Each of the functions of x represents the measure of an angle in the triangle. You write an equation for x by using what you know about the relationships of angles in a triangle: their sum is 180°.
(2x) +(x -18) +(2x +7) = 180
5x -11 = 180 . . . . . . . collect terms
5x = 191 . . . . . . . . . . add 11
x = 38.2 . . . . . . . . . divide by 5
Given that a + b = 2 and that a + b2=6, prove that 2ab = -2. Find also the value of (a - b)?
Find the slope of the line that passes through (7,1) and (6,8)
Answer:
-7
Step-by-step explanation:
[tex]\frac{(8-1)}{(6-7)}[/tex] = [tex]\frac{7}{-1}[/tex] = -7
what is a two way frequency table
Answer:
A two-way table is a way to display frequencies for two different categories gathered from a one group of people.
Step-by-step explanation:
Answer:
A two-way or contingency table is a statistical table that shows the observed number or frequency for two variables, the rows indicating one category and the columns indicating the other category.
Step-by-step explanation:
Question 7 of 10
If P(A) = 3/4, P(B)=1/2 , and P(AUB)=11/12 what is P(A n B)?
A. 1/3
B. 3/4
C. 3/8
D. 1/12
P(A n B) = P(A U B) - P(A) - P(B)
= 11/12 - 3/4 - 1/2
= (11 - 9 - 6)/12
= 4/12
= ⅓
[tex]\sqrt{x} +1=3\\[/tex]
Answer:
x = 4
Step-by-step explanation:
√x + 1 = 3
√x = 3 - 1
√x = 2
(√x)² = (2)²
x = 4
Pls help if you only know the correct answer!!! Thanks!!
Answer:
Step-by-step explanation:
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Answer:
B
Step-by-step explanation:
(5x - 2)² + 35x - 14 = - 12 ( factor out 7 from each term in 35x - 14 )
(5x - 2)² + 7(5x - 2) = - 12 ( add 12 to both sides )
(5x - 2)² + 7(5x - 2) + 12 = 0
Substitute m = 5x - 2 into the equation then in terms of m, the equation is
m² + 7m + 12 = 0 → B
This question: 1p
Find the surface area of the prism.
Answer:
Step-by-step explanation:
Will give brainliest!
ABC and DEF are similar triangles. If the side lengths of ABC are 6, 8, and 12, and the
longest side of DEF is 18, then what are its other side lengths?
9 and 14
9 and 12
14 and 16
24 and 36
Applying the properties of similar triangles, the other side lengths of ΔDEF are: B. 9 and 12
Properties of Similar Triangles:
The ratio of the corresponding sides two triangles that are similar to each other are the same/equal.Given that ΔABC and ΔDEF are similar triangles, therefore:
Let, a = 6, b = 8, and c = 12 be the sides of ΔABC.Let, x, y, and z be the sides of ΔDEF.Let z = 18Thus:
a/x = b/y = c/z
Substitute6/x = 8/y = 12/18
Find x using 6/x = 12/18:
6/x = 12/18
Cross multiplyx = [tex]\frac{18 \times 6}{12}[/tex]
x = 9
Find x using 8/y = 12/18:
8/y = 12/18
Cross multiplyx = [tex]\frac{18 \times 8}{12}[/tex]
x = 12
Therefore, applying the properties of similar triangles, the other side lengths of ΔDEF are: B. 9 and 12
Learn more about similar triangles on:
https://brainly.com/question/11899908
Amy thinks that 2/5 in its simplest form is 1/2.5
Do you agree? Convince me
Answer:
no
Step-by-step explanation:
2/5 is the simplest form in this question 1/2.5 would not mathematically go into 2/5
what each word means, in your own words
Please help at least by defining in your own words 3 or more.
Rotation
Transformation
Translation
Dilation
Angle of Rotation
Line of Reflection
Rotation - Rotation is a plane transformation that rotates every point in a figure through a given angle and direction on a fixed point.
Transformation - Transformation is a process that alters the shape and or position of a point, a line, or a geometric figure.
Translation - Translation occurs when a figure is relocated from one position to another without changing its size, shape, or orientation.
Dilation - Dilation is a transformation that alters the size of a figure, whether enlarging or shrinking it, but it has no effect on the shape of the figure.
Angle of Rotation - Angle of Rotation is the amount that a figure is rotated about a fixed point referred to as the point of rotation.
Line of Reflection - Line of Reflection is a transformation in which each point in a shape appears at an equal distance on the opposite side of a given line.
Hope this helps!!
if 4 friends have 8 apples how many will each friend get
2 because 8 divided by 4 is 2.
Answer:
2
Step-by-step explanation:
8/4 is 2
Pleaaaaaaaaaaaaaaaaaaaaaaase help me
Answer:
It would be the first one
Step-by-step explanation:
Start at 0 and the end shows 2.5
What is it called when heat and pressure change one type of rock into another? (100 points)
a metamorphism
b erosion
c deposition
d crystallization
Answer:
A: metamorphic
Step-by-step explanation:
Answer:
it's a
Step-by-step explanation:
I read it in a textbook
A circle with a circumference of 6 has an arc with 20 central angle
Answer: 0.3 units
Step-by-step explanation: The ratio of the length of the arc to the circumference of the circle is proportional to the ratio of the central angle to the sum of angle in a circle.
what is the answer because i need help with it
Josh will take 10 test in 5 weeks at school how many test will he have taken after 7 weeks
Answer:14
Step-by-step explanation:
He takes 2 a week so 2 times 7 is 14
Three people take 2½ hours to deliver leaflets to 270 houses. Assuming all people deliver leaflets at the same rate, how long will it take five people to deliver leaflets to 405 houses? Give your answer in hours and minutes.
Answer:
3 hours 45 minutes
Step-by-step explanation:
270/2 1/2 = 108. This means they are delivering 108 leaflets an hour. Then you divide 405 by 108 and get 3.75, which is 3 hours and 3 quarters of an hour. since a quarter of an hour is 15 minutes it would be 3 hours 45 minutes.
Help I am in 4 grade number 5
You're almost there. Write the numbers 0, 1, 2, 3, and 4. Since the mixed number is 3 4/5, we know that the point will be somewhere in between 3 and 4 on the number line. To figure out how many ticks/lines to draw in between each number, look at the fraction attached to the mixed number. Remember, a fraction is a part of a whole. We want to know the total number of parts that are in the whole- so we are looking at the denominator, 5. So there are 5 ticks/lines. The numerator represents the number of parts we need to count: 4. This places the point 4 ticks/lines after the "3." The number line should look like this:
A. complete the table if y varies directly as x or x
Answer:
If Y = X
then you X and Y should be congruent to each other.
Step-by-step explanation:
find the value of x thank you
3x - 7 + 2x - 3 = 90
<=> 5x -10=90
<=> 5x = 100
<=> x=20
ok done. Thank to me :>
Choose the graph that matches the inequality –x + y ≥ 2
Answer:
D
Step-by-step explanation:
-x + y >= 2
first of all, it means it includes the line (the "=" part).
that eliminates B and C.
then just look at the line function itself :
-x + y = 2
y = x + 2
and now
y >= x + 2
so, everything above the line (and again including the line), as every y value greater than or equal to the result of the line function is valid.
The required graph has been attached below which represents the given inequality –x + y ≥ 2. which is the correct answer that would be an option (D).
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The inequality is given in the question below as
–x + y ≥ 2
First and foremost, it signifies that it includes the line (the "=" element).
This rules out B and C.
Then evaluate the line function itself:
-x + y = 2
y = x + 2
and now
y ≥ x + 2
As a consequence, anything above the line (and including the line) is legitimate, as is any y value larger than or equal to the result of the line function.
Thus, the required graph has been attached below which represents the given inequality –x + y ≥ 2.
Hence, the correct answer would be an option (D).
Learn more about the inequalities here:
brainly.com/question/20383699
#SPJ2
Question 2: Select the property shown
by the statement: If 7 = x and x = y, then
7 = Y
A. Commutative
B. Associative
C. Reflexive
D. Symmetric
E. Transitive
Answer:
1. option C, i.e., symmetric property.
2. option B, i.e., Integer
3. option D, i.e., zero product property
Step-by-step explanation:
Symmetric property: According to this property it a=b the b=a.
By symmetric property, we can say that, if y=7 then 7=y.
Therefore, the correct option is C, i.e., symmetric property.
Closure property: According to this property, if a∈S and b∈S, then a*b∈S.
Subtraction of natural numbers is not always natural.
Subtraction of integers is always integer.
Subtraction of irrational number is not always irrational number.
Subtraction of odd number is always even.
Therefore, the correct option is B, i.e., Integer.
Given statement is (a-b)*0=0.
According to zero product property if ab=0, then a=0 or b=0.
So, the given statement is true by zero product property.
Therefore, the correct option is D, i.e., zero product property.
