Answer:
-5/2
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -12 - 3)/(4 - -2)
= (-12-3)/(4+2)
-15/6
-5/2
Answer:
-5/2
Step-by-step explanation:
(y2-y1)/(x2-x1) = -15/6 = -5/2
Choose the composition of translations that maps the image ΔPQR onto ΔP′Q′R′.
Question 4 options:
(x,y) → (x + 6,y + 3)
(x,y) → (x – 6,y – 3)
(x,y) → (x + 6,y – 3)
(x,y) → (x – 6,y + 3)
Answer:
(x , y ) ---> (x + 6 , y - 3)
Step-by-step explanation:
(x , y ) ---> (x + 6 , y - 3)
P(-1 , 4) -----> P'(-1+6 , 4-3) = P'(5,1)
Comapre P and P' x-coordinate
-1 + a = 5
a = 5 +1 = 6
Q(-1, 2) ----->Q'(-1+6 , 2 -3)= Q'(5, -1)
R(3 , 1) ------> R'(3+6 , 1-3) = R'(9,-2)
6 less than twice a number
Answer:
6-2x
Step-by-step explanation:
six less than (subtraction) twice a number. 2 times a number x
help me please !! find the domain and range of the function represented by the graph. determine wether the domain is discrete or continuous.
Answer:
Domain is the whole R and the range is R+. The domain is continuous
Check the attached image
Please explain on how to do this.
Answer:
2.8 * 1.4 = 3.92.
Hope this answer helps you. Thank you.
Answer:
hope it helps you.........
Find the first term and the common difference of the arithmetic sequence whose 6th term is 30 and 12th term
is 54.
Answer:
10 and 4Step-by-step explanation:
The first term is a, common difference is d.
The 6th term:
a + 5d = 30The 12th term:
a + 11d = 54Solve the system by elimination:
11d - 5d = 54 - 306d = 24d = 4Find a:
a + 5*4 = 30a + 20 = 30a = 10Answer:
Given :-6th term = 30
12th term = 54
To Find :-First term
Common difference
Solution :-We know that
[tex] \sf \: a_{n} = a + (n - 1)d[/tex]
For 6th term
[tex] \sf \: 30 = a + (6 - 1)d[/tex]
[tex] \sf \: 30 = a + 5d[/tex]
For 12th term
[tex]\sf \: a_{n} = a + (n - 1)d[/tex]
[tex] \sf \: 54 = a + (12 - 1)d[/tex]
[tex] \sf \: 54 = a + 11d[/tex]
On subtracting both
[tex] \sf \: 54 - 30 = a + 11d - (a + 5d)[/tex]
[tex] \sf \: 54 - 30 = a + 11d - a - 5d[/tex]
[tex] \sf \: 24 = 6d[/tex]
[tex] \sf \: \dfrac{24}{6} = d[/tex]
[tex] \sf \: 4 = d[/tex]
Now
Using 2
[tex] \sf \: 54 = a + 11d[/tex]
[tex] \sf \: 54 = a + 11(4)[/tex]
[tex] \sf \: 54 = a + 44[/tex]
[tex] \sf \: 54 - 44 = a[/tex]
[tex] \sf \: 10 = a[/tex]
if a 27% is a sale profit , how much profit is in the sale of $4650?
pls explain if u can. thanks!!
SHORT ANSWER
Question 3
This expression has three restrictions. What are they?
(3x^2-3x/x-2)/(2x-10/x-4)
Answer in a complete sentence.
Answer:
The restrictions are x≠2,4,5
Step-by-step explanation:
First the denominators cannot be zero
x-2 ≠0 so x≠2
Then x-4 ≠0 so x≠4
Also, since we are dividing, when we flip the second expression, the numerator becomes the denominator, so it cannot be zero
2x-10≠0
2x≠10
x≠5
The restrictions are x≠2,4,5
can you guys please help me
Answer:
x^2 - 9
-------------
x^2 - 4
Step-by-step explanation:
x+3 x-3
------ * -----------
x+2 x-2
Notice that the numerator is the difference of squares and the denominator is the difference of squares
(a+b)(a-b) = a^2 - b^2
(x^2 - 3^2)
------------------
x^2 - 2^2
x^2 - 9
-------------
x^2 - 4
Answer:
A...
the parts of theis problem are "special factors" or conjugates
(a+b) (a-b) = a^2 - b^2
you have two of those (x+3)(x-3) = x^2-9
and (x+2)(x-2) = x^2 -4
Step-by-step explanation:
PLEASE HELP!!
Find an equation in general form for the straight line that passes through the point (-1.4) and is
perpendicular to the line 2x + 3y = 6
9514 1404 393
Answer:
3x -2y +11 = 0
Step-by-step explanation:
The equation of the line perpendicular to ax+by=c through point (h, k) can be written as ...
b(x -h) -a(y -k) = 0
Simplifying this will put it in general form.
__
You have a=2, b=3, (h, k) = (-1, 4), so your equation is ...
3(x +1) -2(y -4) = 0 . . . . fill in the values
3x -2y +11 = 0 . . . . . . . simplify
if f(x) = 2x²+2x-1, g(x) = x²+5x+2 f(x)=g(x), find the value of x
Answer:
Possible Answers: –5. –21. 7. –1
Answer:
just put the values and simpilyfy it untill you get the value of X
hence, the value of X is either 3 or, -1
A shopkeeper marks the price of an article 25% above the cost price. Then he allows a discount of 10% of the marked price. Find the profit percentage.
here is your answer hope you will understand it
The bar graph shows the median income for families in the United States from 1993 through 2000.
Which two consecutive years saw the largest increase in median income?
A. 1994–1995
B. 1997–1998
C. 1998–1999
D. 1999–2000
The two consecutive years in which there is the largest increase in the median income is option B i.e. 1997-1998.
Given that
In 1994-1995, the median income is 37,500 and 38,500.In 1997-1998, the median income is 39,700 and 41,000.In 1998-1999, the median income is 41,000 and 42,200.In 1999-2000, the median income is 42,500 and its less.So after analysis, we can conclude that The two consecutive years in which there is the largest increase in the median income is option B i.e. 1997-1998.
Learn more about the bar graph here: brainly.com/question/14894834
Please help i do not understand this question!
Answer:
Distributive property
Step-by-step explanation:
The rule being shown here is the distributive property, because the first binomial is taken apart and separately multiplied with the other binomial.
532 - 308 is the same as blank - 300
Answer:
524
Step-by-step explanation:
First find the number we want to find
532 - 308 = 224
Set blank -300 equal to the number
blank - 300 = 224
Add 300 to each side
blank -300+300 = 224+300
blank = 524
Simplify the following expression: 7(5 + 3) + 2ˆ4
72
Step-by-step explanation:7(5 + 3) + 2ˆ4
P ()
E ^
M *
D /
A +
S -
7(8) + 16
= 72
Hey there!
7(5 + 3) + 2^4
5 + 3 = 8
= 7(8) + 2^4
2^4
= 2 * 2 * 2 * 2
= 4 * 4
= 16
= 7(8) + 16
7(8) = 56
= 56 + 16
= 72
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
1. 108 identical books have a mass of 30 kg. Find
(i) the mass of 150 such books
(ii) the number of such books that have a mass of 20 kg
Answer:
i) around 41.7 kg
ii) 72 books
Step-by-step explanation:
i) if 108 books are 30 kg then how much is the mass for 150? You cross multiply so 150 multiply by 30 and 108 multiply by x (the unknown mass). you will get 4500=108x and then 4500/108 is the unknown mass.
ii) use the same way as above.
the train regularly travels 135 miles in 60 minutes.
What is the speed, in miles per minute, on this portion of the route?
Answer:
2.25 miles per minute
Step-by-step explanation:
Speed = Distance/Time
135/60
2.25 miles per minute
Answer from Gauthmath
the scale of a map is 1cm to 12km what is the distance on land if the length from town A to town B on the map is 15cm
Answer:
180 km
Step-by-step explanation:
1 cm=12 km
15 cm=12×15=180 km
What is the volume of the rectangular prism in simplest terms?
Answer:
V=w*h*l
Step-by-step explanation:
w=width
h=height
l=length
volume = w*h*l
volume = w*h*l
volume = w*h*l
Please see picture for question.
Answer:
7
Step-by-step explanation:
We know that a^b^c = a^(b*c)
7 ^ 1/5 ^ 5
7^ (1/5*5)
7^1
7
which of the answers is correct
Answer:
Option C, sin Y = 38/63
Step-by-step explanation:
sin Y = Opposite/Hypotenuse
sin Y = 38/63
Answered by GAUTHMATH
The price of a litre of milk increased from $1.25 in 2004 to $1.35 in 2006. What is the average price increase per year?
Answer:
$0.05/year
Step-by-step explanation:
Number of years:
2006 - 2004 = 2
From 2004 to 2006 it's 2 years.
Difference in prices:
$1.35 - $1.25 = $0.10
Average change of price per year:
$0.10 / 2 years = $0.05/year
Which of the choices below could be a scientific problem?
a. Tomato plants require 8 hours of direct sunlight to thrive.
b. Plant a tomato seedling 6 inches deep a large pot.
C. If tomato plants receive 4 hours of direct sunlight, then they will thrive.
d. How much sunlight do tomato plants need to thrive?
Answer:
D. How much sunlight do tomato plants need to thrive?
Step-by-step explanation:
A spherical ball has a radius of 4 inches. What is the volume of this sphere, to the
nearest cubic inch.
Answer:
V = 267.9 in^3
Step-by-step explanation:
V = 4/3 * (pi) * r^3
V = 4/3 * 3.14 * 4^3
V = 4/3 * 3.14 * 64
V = 256/3 * 3.14
V = 803.84/3
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
x = 3sqrt(2)/2
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
The two legs are equal, x
x^2 + x^2 = 3^2
2x^2 = 9
Divide each side by 2
x^2 = 9/2
Take the square root of each side
sqrt(x^2) = sqrt(9/2)
x = sqrt(9)/ sqrt(2)
x = 3 / sqrt(2)
x = 3 sqrt(2) / sqrt(2)*sqrt(2)
x = 3sqrt(2)/2
Answer:
Step-by-step explanation:
The Pythagorean triple for a 45-45-90 triangle, which this is BTW is, in terms of the pattern: (x, x, x√2) where each x is the length of a side across from a 45 degree angle and x√2 is the side length across from the 90 degree angle (this side is also known as the hypotenuse). If the hypotenuse is 3 units long, and the pattern for the hypotenuse is x√2, we can solve for x, the sides across from the 45 degree angles, by setting 3 equal to its pattern for the hypotenuse:
[tex]3=x\sqrt{2}[/tex] so
[tex]x=\frac{3}{\sqrt{2} }= \frac{3\sqrt{2} }{2}[/tex]
2.59 is greater or less than 2.684
Answer:
Less than.
Step-by-step explanation:
2.59 is less than 2.684 by 0.094
2.59 < 2.684
~
Answer:
Less than
Step-by-step explanation:
2.59 is smaller than 2.684 because the first number (the tenth) is bigger than the other first number (2.59) so it should be bigger.
Pythagorean Theorem
The diagram shows square 1, 2, and constructed on the sides of right
triangle
3
1 2
Which statement about the squares must be true?
Option A
We can prove this by a example
Take a pythagorean triplet 3, 4, 5
Now 5 is the hypotenuse
Area 1 = 3^2
= 9
Area 2 = 4^2
=16
Area 3 = 5^2
=25
So 9 + 16 = 5
25 = 25
Therefore its option A
Answered by Gauthmath must click thanks and mark brainliest
The correct relation between these rectangle is (Area of 1) + (Area of 2) = (Area of 3)
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
From the general formula of the area of the square,
Area of 1 = (side of 1st)²
Area of 2 = (side of 2nd)²
Area of 3 = (side of 3rd)²
From the Pythagorean theorem in the given triangle,
(side of 2nd)²+(side of 1st)² = (side of 3rd)²
Thus,
(Area of 1) + (Area of 2) = (Area of 3)
Learn more about Area here:
https://brainly.com/question/27683633
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Find the input (x) of the function y=5x-3 if the output (y) is 32
Answer:
x = 7
Step-by-step explanation:
Given
y = 5x - 3 ← equate 5x - 3 to 32
5x - 3 = 32 ( add 3 to both sides )
5x = 35 ( divide both sides by 5 )
x = 7 ← input
Answer:
x=7
Step-by-step explanation:
y=5x-3
y = 32
32 = 5x- 3
Add 3 to each side
32+3 = 5x-3+3
35 = 5x
Divide by 5
35/5 = 5x/5
7 =x
Mike has a total of 1371 coins in his piggy bank if the total value of his coins is $230.25 and make it only has dimes and quarters how many more times than quarters does Mike have
Answer:129
Step-by-step explanation:(621 x 0.25) + (750 x 0.10) = 230.25
750 - 621 = 129 more dimes than quarters