Answer:
All real numbers make this equation true (-∞,∞)
Point P(3, 9) in the coordinate plane is rotated 90 degrees counterclockwise about the origin. What are the coordinates of its image?
Please show all work and not just the answers.
Answer:
P'(-9, 3)
Step-by-step explanation:
The transformation for rotation counterclockwise about the origin by some angle α will be ...
(x, y) ⇒ (x·cos(α) -y·sin(α), x·sin(α) +y·cos(α))
When the angle is α = 90°, this reduces to ...
(x, y) ⇒ (-y, x)
You have (x, y) = (3, 9), so the image point is P'(-9, 3).
__
Additional comment
The "work" is applying the right sign and choosing the right coordinate to fill in the values (-y, x). I find it easier to look up the transformations for ±90° and 180°, rather than try to derive them from first principles every time. Your text may have a list:
90° CCW or 270° CW: (x, y) ⇒ (-y, x)90° CW or 270° CCW: (x, y) ⇒ (y, -x)180°: (x, y) ⇒ (-x, -y)+please help i dont know how to solve this
Answer:
thee answer is 3375ft
Step-by-step explanation:
Volume =length x width x height
V = 15ft x 15ft x 15ft
=3375 ft
can I please get brainly
The newest model of a phone comes with several customizable options, including 4 different sizes, 3 different storage capacities, and 6 different colors. If Gael wants to buy 1 of the 2 largest sizes of phone, how many possible combinations of options can he choose from?
solve the system of equations using matrices and a calculator.
3x - 4y + 5z = -10
2x - y -2z = 12
x + y - z =15
(x, y, z) = (59/8, 6, -13/8)
Answer:
x = 59 / 8
y = 6
z = -13 / 8
Step-by-step explanation:
For this problem, you simply need to set up the augmented matrix for you to enter into the calculator. Once entered into the calculator, you will be given the values for x, y, and z. Here is the augmented matrix:
3x - 4y + 5z = -10
2x - y - 2z = 12
x + y - z = 15
3 -4 5 | -10
2 -1 -2 | 12
1 1 -1 | 15
Input this augmented matrix into the calculator and you will get these values for x, y, and z:
x = 59 / 8
y = 6
z = -13 / 8
Cheers.
-8(x - 7)
(Distributive property)
Answer:
-8x+56
Step-by-step explanation:
we have to multiply 8 by x and -7
-8 times x is -8x. However -8 times -7 is POSTIVE 56
Answer:
So the answer to this problem would be -8x+56
Step-by-step explanation:
The reason for this is -8 multiply by x and multiply by -7 so if you multiply -7 and -8 together u will get 56 and -8 multiplied with x is = -8x
Hope that helps
what is the inverse function for y=2/5x-1
-8=12-4x , help !!!!! algebra review and i dont know thisssssss
Answer:
[tex] \huge{ \fbox{ \sf{x = 5}}}[/tex]
Step-by-step explanation:
[tex] \star{ \sf \: - 8 = 12 - 4x}[/tex]
[tex] \text{Step \: 1 \: : Swap \: the \: sides \: of \: the \: equation}: [/tex]
[tex] \mapsto{ \sf{12 - 4x = - 8}}[/tex]
[tex] \text{Step \: 2 \: : Move \: 12 \: to \: right \: hand \: side \: and \: change \: its \: sign}[/tex]
[tex] \mapsto{ \sf{ - 4x = - 8 - 12}}[/tex]
[tex] \text{Step \: 3 \: : Calculate}[/tex]
[tex] \text{ \underline{Remember ! }} : \sf{ \: The \: negative \: integers \: are \: always \: added \: but \: posses \: the \: negative \: ( - ) \: sign.}[/tex]
[tex] \mapsto{ \sf{ - 4x = - 20}}[/tex]
[tex] \text{Step \: 4 \: : Divide \: \: both \: sides \: by \: 4}[/tex]
[tex] \mapsto{ \sf{ \frac{ - 4x}{ - 4} = \frac{ - 20}{ - 4}}} [/tex]
[tex] \text{Step \: 5 \: : Calculate}[/tex]
[tex] \mapsto{ \sf{x = 5}}[/tex]
Hope I helped!
Best regards! :D
~[tex] \sf{TheAnimeGirl}[/tex]
the ratio of picnic tables to garbage cans in a new national park should be 5:2. the park design shows plans for 30 picnic tables in a small campground and 110 picnic tables in a large camp ground how many garbage cans should there be in each campground
Answer:
Small campground = 12 garbage cans
Large campground = 44 garbage cans
Step-by-step explanation:
Picnic tables : garbage cans
= 5 : 2
Small campground = Picnic tables : garbage cans
= 30 : x
5 : 2 = 30 : x
5/2 = 30/x
Cross product
5 * x = 2 * 30
5x = 60
x = 60/5
= 12
5 : 2 = 30 : 12
large camp ground = Picnic tables : garbage cans
5 : 2 = 110 : x
5/2 = 110/x
Cross product
5 * x = 2 * 110
5x = 220
x = 220/5
= 44
5 : 2 = 110 : 44
Therefore, there are 12 garage cans in the small campground and 44 garbage cans in the large campground
Only #6ac please explain.
Answer:
Step-by-step explanation:
the percentage error: P
Approximate value=a 1.41
Exact = e(1.41421356 or √2)
p=[(e-a)/e]×100
p=[√2-1.41)/√2]×100
p=0.29794385 ≅0.30 or 30 percent when rounded to the nearest hundredth
b: p=[(π-3.14)/π]×100=0.05069573≅0.05 =5 percent when rounded to the nearest hundredth. in the pi case the percentage of error is small 5 % but in the case of square roots the percentage id higher(30%). in this case it is better to round the answer at the end of calculation( math problem)
c) sometimes when rounding square roots or irrational number like pi it is useful to use decimal approximate, in the case of pi the percentage rate was 5 percent which is very low comparing to the square root which is 30 %.
4. Mr. Y invested $2,000 in two accounts. One pays 7%
annual interest; one 5%. At the end of 1 year, Mr. Y
earned $155 in interest. How much had Mr. Y invested
in the account paying 7%?
Answer:
He invested approximately $2,215
Step-by-step explanation:
Mr Y invested $2000 in two accounts.
One pays 7%, and the other pays 5%.
At the end of one year, Mr Y earned $155 in interest. We want to know how much Mr Y invested in the account paying 7%.
Let the amount he invested be X, then
7% of X = 155
(7/100)X = 155
0.07X = 155
X = 155/0.07
= 2,215
He invested approximately $2,215
Can someone tell me how to do this?
Answer:
For #21, x = 35, y = 85
Step-by-step explanation:
For these types of problems, you will simply use to facts. The sum of the measure of a line is 180 degrees, and alternate angles of crossing lines are equivalent. With that being said, let's work #21.
We can see that there are two lines, and we are given 2 values to find with 3 possible equations.
[1] ( 2x + 25 ) + y = 180
[2] y + ( 3x - 10 ) = 180
[3] 2x + 25 = 3x - 10
Using any of these equations, we can solve for the variables. Let's use the 1st and 3rd equations to find x and y.
2x + 25 = 3x - 10
2x + -2x + 25 + 10 = 3x + -2x + -10 + 10
35 = x
Now plug in the value of x to find y:
( 2x + 25 ) + y = 180
( 2(35) + 25 ) + y = 180
( 70 + 25 ) + y = 180
95 + y = 180
y = 85
We can check these values by plugging into the 2nd equation
x = 35 ; y = 85
y + ( 3x - 10 ) = 180
(85) + (3(35) - 10) = 180
85 + ( 105 - 10) = 180
85 + 95 = 180
180 = 180
Thus, we have validated our results and found the values of x and y.
Cheers.
Then Isabella filled 3 more pages with 36 photos which
she evenly divided between the pages. Is the number of
photos on one of these pages more or less than the
number on one page in the example problem? Explain.
Answer: Isabella has 4 more photos than the other photo albums. So, Isabella has more pages than the number on one page in the example problem.
Step-by-step explanation: 3 divided by 36 equals 12. 12 times 3 = 36
The number of photos on one of these pages is more than the number on one page in the example problem because Isabella's photo album contains 4 more photos.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
We have been given that Isabella filled 3 more pages with 36 photos which she evenly divided between the pages.
As per the given condition,
36 divided by 3
⇒ 36 / 3 = 12
Here 12 times 3 is equal to 36
Therefore, Isabella's photo album contains 4 more photos. The number of pages in Isabella is greater than the number on one page in the example problem.
Learn more about Arithmetic operations here:
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find AC A.6 B.12 C.16 D.10
Answer:
d
Step-by-step explanation:
add the dashes up =10
Answer:
10
Step-by-step explanation:
AC is the difference between the position of A and C, that is
AC = | - 8 - 2 | = | - 10 | = 10 or
AC = | 2 - (- 8) | = | 2 + 8 | = | 10 | = 10
What number is ten times greater than 10?
Answer:
100
Step-by-step explanation:
Multiply 10 by 10
1.2 + 0.8-4-3(0.7 -0.81)
evaluate the expression
Express 18.348 in the form p/q where p and q are integers, q≠ 0
Answer:
[tex]\frac{18348}{1000}[/tex]
Step-by-step explanation:
The 8 in the decimal part 0.348 is in the thousandths position, thus
18.348
= 18 [tex]\frac{348}{1000}[/tex]
= [tex]\frac{18(1000)+348}{1000}[/tex]
= [tex]\frac{18348}{1000}[/tex]
Find a polynomial F(x) of degree 3 with real coefficients and the following zeros. 4,1-i help fast please?
Answer:
f(x) = x³ - 6x² + 10x - 8
Step-by-step explanation:
Complex zeros occur as conjugate pairs, thus
Given x = 1 - i is a zero then x = 1 + i is also a zero
Given the zeros are
x = 4, x = 1 - i, x = 1 + i then the corresponding factors are
(x - 4), (x - (1 - i) ), (x - (1 + i ) ), that is
(x + 4), ( x - 1 + i), (x - 1 - i)
f(x) is then the product of the factors, that is
f(x) = (x - 4)((x - 1) + i)((x - 1) - i ) ← distribute the complex factors
= (x - 4)((x - 1)² - i² ) → i² = - 1
= (x - 4)(x² - 2x + 1 + 1)
= (x - 4)(x² - 2x + 2) ← distribute
= x³ - 2x² + 2x - 4x² + 8x - 8 ← collect like term
f(x) = x³ - 6x² + 10x - 8
The required polynomial is f(x) = x³ - 6x² + 10x - 8 which has a degree is 3 with real coefficients.
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers.
The required polynomial F(x) of degree 3 with real coefficients and the following zeros. 4, 1-i
This means i.e.
x = 4, x = 1 - i, and x = 1 + i
As per the fundamental of algebra, the corresponding factors are (x - 4), (x - (1 - i) ), (x - (1 + i ) ),
The factors are (x + 4), ( x - 1 + i), and (x - 1 - i)
If the above corresponding factors are multiplied then we can find f(x)
f(x) = (x - 4)((x - 1) + i)((x - 1) - i )
f(x) = (x - 4)((x - 1)² - i² ) → i² = - 1
f(x) = (x - 4)(x² - 2x + 1 + 1)
f(x) = (x - 4)(x² - 2x + 2)
f(x) = x³ - 2x² + 2x - 4x² + 8x - 8
f(x) = x³ - 6x² + 10x - 8
Thus, the required polynomial is f(x) = x³ - 6x² + 10x - 8.
Learn more about the polynomial here:
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Calculate the curved surface area of cylinder of radius 14cm and of height 9cm.
Answer:
the curved area would be 396cm^2
3x - (2 - x) + 1
or
-5 + 4x + 4
Which is greater
Answer:
The first one is greater in value
Step-by-step explanation:
3 x 2 + x − 2 VS 4 x − 1
Pls solve this for me
Answer:
D -3/2
Step-by-step explanation:
The solutions are x = -3 and x = 3/2, however, you can solve this as well by looking at part of the quadratic formula:
[tex]x_1+x_2 = \frac{-b + \sqrt{b^2-4ac}}{2a} + \frac{-b - \sqrt{b^2-4ac}}{2a} = \frac{-b}{a}[/tex]
the formula implodes when you add the roots!
Jin soccer team has four coaches and 22 player and his twin sisters team has to coaches and 11 players is the relationship between the number of players and coaches is proportional throughout the league which ordered pair could represent the total number of coaches and players in the entire league
Answer:
26 coaches and 143 players
Step-by-step explanation:
11/2=5.5
22/4=5.5
143/26=5.5
Answer:
26 coaches and 143 players
Step-by-step explanation:
Add: 7/8 + 5/6 .......
Answer:
1 17/24
Step-by-step explanation:
To add fractions, find the LCD and then combine.
Exact Form:
41/24
Decimal Form:
1.7083
Mixed Number Form:
1 17/24
Answer:
1 13/16
Step-by-step explanation:
7/8 x 6/6 = 42/48
5/6 x 8/8 = 45/48
45/48 + 42/48 = 87/ 48
87/48 = 1 39/48
1 39/48 = 1 13 /16
Hopefully this helps you :)
pls mark brainlest ;)
Plzz look at this problem first person with correct answer will get branliest
Answer:
h, negative, negative
Step-by-step explanation:
someone please help me
Given the line segment , state the ratio of the segment partitions as. Be sure to reduce fractions
Answer/Step-by-step explanation:
Line segment AB consists of segment AC and segment CB.
AC = 7 cm
CB = 21 cm
The entire segment, AB = 21 + 7 = 28cm
The ratio of the segments partitions can be stated as follows:
Ratio of AC to CB = AC:CB = 7:21 = 1:3 = [tex] \frac{1}{3} [/tex]
AC is ¼ of AB [tex] (\frac{1}{1 + 3} = \frac{1}{4}) [/tex]
CB is ¾ of AB [tex] (\frac{3}{1 + 3} = \frac{3}{4}) [/tex]
Round each mixed number to the nearest whole number. Then, estimate the quotient
[tex]24 \frac{16}{17} \div 4 \frac{8}{9} [/tex]
Answer:
Quotient = 5
Step-by-step explanation:
Step 1
Round each mixed number to the nearest whole number
a) 24 16/17 = 424/17
= 24.941176471
Approximately to the nearest whole number ≈ 25
b) 4 8/9 = 44/9
= 4.8888888889
Approximately to the nearest whole number ≈ 5
Next step we estimate the quotient
Quotient = Dividend ÷ Divisor
Dividend = 25
Divisor = 5
Quotient = 25 ÷ 5
= 5
Therefore, the quotient is 5
we have 4 1/2 cups of chocolate chips. a batch of our madison cookies requires 3/4 cup of chocolate chips. how many batches can we make?
Answer:
You can make 6 batches of cookies.
Step-by-step explanation:
3/4 + 3/4 = 1 1/2 (2)
1 1/2 + 1 1/2 = 3 (4)
3 + 1 1/2 = 4 1/2 (6)
Answer:
6 batches
Step-by-step explanation:
4 1/2 divided by 3/4
is 6
4 1/2 / 3/4 = 6
so you can make six
is how many batches
you can make.
(i checked my answer with a calculator)
Is 8/10 equal to 6/5
1 3/4 change to improper fraction
Answer:
7/4
Step-by-step explanation:
1x3+3/4
then will get you to
4+3/4
and the solution is
7/4
r is in the middle of pqs btw
Answer:
46
Step-by-step explanation:
5x = 3x - 2 + 34
5x = 3x + 32
2x = 32
x = 16
plug back in
3( 16 ) - 2
48 - 2
46