Answer:
(2x²+4x-24) in.
Step-by-step explanation:
.
A point P(3, k) is first transformed by E¹[0, 2] and then by E²[0,3/2] so that the final image is (9, 12), find the value of k.
Hello,
The first transform E1 is the homothetie of center (0,0) and ratio=2
The second transform E2 is the homothetie of center (0,0) and ratio=3/2
P=(3,k)
P'=E1(P)= E1((3,k))=(2*3,2*k)=(6,2k)
P''=E2(P')=E2(6,2k)=(3/2*6,3/2*2*k)=(9,3k)=(9,12)
==> 3k=12
k=4
Please help due very soon!!!!
Answer:
[tex]51 in^{2}[/tex]
Step-by-step explanation:
[tex]===========================================[/tex]
Formulas:
Area of a rectangle/square:
[tex]A=lw[/tex]
Area of a triangle:
[tex]A=bh\frac{1}{2}[/tex]
[tex]===========================================[/tex]
Square:
3*3=9 in.
Triangles(4):
[tex]3*7*\frac{1}{2}=10.5[/tex]
Multiply by 4.
[tex]10.5*4=42[/tex]
42 in
Add 9 and 42 together. You get
[tex]51 in^{2}[/tex]
Answer:
51 [tex]sq^{2}[/tex]
Step-by-step explanation:
(3*3) + 4(1.5 * 7)
9 * 42 = 51 [tex]sq^{2}[/tex]
The sum of two numbers is -5 and their difference is -1. Find the two
numbers.
Answer:
x=-3 and y=-2
Step-by-step explanation:
let the numbers be x and y
x+y=-5
x-y=-1
therefore x=-5-y
-5-y-y=-1
-2y=-1+5
-2y=4
y=-2
×=-5-(-2)
x=-5+2
x=-3
Answer: -2 and -3
Step-by-step explanation:
Number #1 = xNumber #2 = yx + y = -5
x - y = -1 -> x = y - 1
(y - 1) + y = -5
y - 1 + y = -5
2y = 1 - 5
2y = -4
y = -2
x = y - 1 = -2 - 1 = -3
I'm confused, can someone please help?!
Answer:
B
Step-by-step explanation:
Pls brain list if right :>
Answer:
If ABCD is congruent to RSTU
AB≅RS
BC≅ST
CD≅TU
AD≅RU
and ∠A≅CR
∠B≅∠S
∠C≅T
∠D≅CU
ANSWER: ∠A≅∠U
------------------------------
hope it helps...
have a great day!!
Five students are lined up in a row. How
many arrangements could be made if
the position of the last boy remains
unchanged?
(WAEC)
Step-by-step explanation:
16 arrangement can be done
The 24 arrangements could be made if the position of the last boy remains unchanged.
Arrangement
Arrangement is a plans or preparations for a future event.
How to solve this problem?The steps are as follow:
Given, Five students are lined up in a rowWe have make the arrangment such that last boy should remain unchangedTo find how many arrangements are possible in a set of objects, use the formula below, where x is the number of objects.x! , where,! is factorial
x! is equal to x*(x-1)*(x-2)*(x-3)*…(x-(x-1))
In this case we have to take x equal to 4 because last boy to remain unchanged∴ 4*3*2*1 = 24 arrangments
Therefore total 24 arrangements could be made if the position of the last boy remains unchanged.
Learn more about arrangment here:
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4.5hour into second
Step-by-step explanation:
4 .5 ×60min
4.5×60×60sec
16200 sec
1 hour -3600 sec 4,5 hoer - x sec x=4,5* 3600=45*360=16200 sec Answer: 4,5 hour = 16200 sec
The line CD is defined by the points C(-2,1) and D(10,7).
Find the equation of the line CD.
Answer:
The equation of the line is; y = 0.5·x + 2
Step-by-step explanation:
The points that define the line CD = C(-2, 1) and D(10, 7)
The equation of the line can be presented in the form of the general equation of a straight line, y = m·x + c
Where;
m = The slope of the line = [tex]\dfrac{7 - 1}{10 - (-2)} = \dfrac{1}{2} = 0.5[/tex]
c = The y-intercept
From the obtained slope, m = 0.5, using point D(10, 7), the equation of the line in point and slope form is therefore;
y - 7 = 0.5·(x - 10)
From the above equation of the line in point and slope form, we get the general form of the equation of the line as follows
y - 7 = 0.5·(x - 10) = 0.5·x - 5
y - 7 = 0.5·x - 5
y = 0.5·x - 5 + 7 = 0.5·x + 2
y = 0.5·x + 2
The equation of the straight line in general is y = 0.5·x + 2.
Jessica is buying chicken wings and hamburger meat for a party. One bag of chicken wings costs $6. Hamburger meat costs $3 per pound. She must spend no more than $30. She also knows that she needs to buy at least 5 pounds of hamburger meat. Which system of inequalities can be used to determine the number of bags of chicken wings, x, and the number of pounds of hamburger meat, y, that Jessica should buy?(1 point)
Answer:
6x + 3y ≤ 30
y ≥ 5
Step-by-step explanation:
Let
x = number of bags of chicken wings
y = number of pounds of hamburger meat
Cost of one bag of chicken wings = $6
Cost of one pound of Hamburger meat = $3
She must spend no more than $30.
The inequality
6x + 3y ≤ 30
She also knows that she needs to buy at least 5 pounds of hamburger meat.
y ≥ 5
pls help w explanation!!!
At her gym, Ximena spends 30 minutes on each aerobic workout and 20 minutes on each weight-lifting workout. Last week, Ximena spent between 190 and 230 minutes, inclusive, on 3 aerobic
workouts and w weight-lifting workouts. What is
one possible value of w?
Answer:
The possible values of W are 5, 6, and 7.
Step-by-step explanation:
Since at her gym, Ximena spends 30 minutes on each aerobic workout and 20 minutes on each weight-lifting workout, and last week, Ximena spent between 190 and 230 minutes, inclusive, on 3 aerobics workouts and W weight-lifting workouts, to determine what is one possible value of W the following calculation must be performed:
190 - (3 x 30) = X
190 - 90 = X
100 = X
100/2 = 5
140/2 = 7
Therefore, the possible values of W are 5, 6, and 7.
2 1/4 x 3 1/5 brainliest
Answer:
36/5
Step-by-step explanation:
9/4×16/5
144/20
36/5
hope this is helpful
Answer:
[tex]7\frac{1}{5}[/tex]
Step-by-step explanation:
1. start by turning the fractions improper fractions:
[tex]2\frac{1}{4} =\frac{9}{4}[/tex]
[tex]3\frac{1}{5} =\frac{16}{5}[/tex]
2. then multiply them together:
[tex]\frac{9}{4}[/tex] x [tex]\frac{16}{5}[/tex] = [tex]\frac{144}{20}[/tex]
3. then simplify the fraction:
[tex]\frac{144}{20}[/tex][tex]=\frac{36}{5}[/tex]
4. turn it into a proper fraction:
[tex]\frac{36}{5} =7\frac{1}{5}[/tex]
Which expression is equivalent to this polynomial?
16x2 + 4
A.
(4x + 2i)(4x − 2i)
B.
(4x + 2)(4x − 2)
C.
(4x + 2)2
D.
(4x − 2i)2
Answer:
A.
Step-by-step explanation:
C and D do not create any x² terms when doing the multiplications. so, they are out.
B stands for (a+b)×(a-b) = a² - b².
so, that would give us a "-4" at the end and is not fitting to the "+4" term at the end of the original expression.
that leaves us with A.
let's verify :
(4x+2i)(4x-2i)
it follows the same rule as B :
(a+b)(a-b) = a² - b²
a = 4x
b = 2i
you remember, i = sqrt(-1).
so, we get
(4x)² - (2i)² = 16x² - 4×(sqrt(-1))² = 16x² - 4×(-1) = 16x²+4
bingo !
Answer:
Step-by-step explanation:
the answer is A
Please help me out here
Answer:
vbw-kafw-hxy p.l.e.a.s.e join
Answer:
146 cm²
Step-by-step explanation:
The net is composed of 3 sets of congruent rectangles
top/ bottom + front/ back + sides
SA = 2(9 × 5) + 2(9 × 2) + 2(5 × 2)
= 2(45) + 2(18) + 2(10)
= 90 + 36 + 20
= 146 cm²
What is true about an equation with infinite solutions?
When both sides of the equation are simplified, the coefficients are the same.
When both sides of the equation are simplified, the constants are different.
There are no input values that will result in a true statement.
Only one input value will result in a true statement.
When both sides of the equation are simplified, the coefficients are the same.
Step-by-step explanation:
An equation has infinite solutions when both sides of the equation are simplified, the coefficients are the same
Answer:
The answer is A.
A chocolate factory uses 16 of a bag of cocoa butter in each packet of chocolate. The factory used 13 of a bag of cocoa butter today. How many packets of chocolates did the factory make?
Answer:
13/16 of a packetStep-by-step explanation:
Solve using ratios:
1 packet ⇒ 16 bagsx packets ⇒ 13 bagsFind x:
x*16 = 1*13x = 13/16rationalization
[tex] \frac{6}{ \sqrt{3} } [/tex]
Answer:
2√3
Step-by-step explanation:
To rationalize, we multiply the denominator and numerator by the surd at the base
We have it that;
6/√3 * 1
= 6/√3 * √3/√3
= 6 √3/3 = 2√(3
What is the value of x in the product of powers below?
6^9 x 6^x =6^2
0-11
O -7
07
11
Mmm, x is equals to -7....
The value of the x is -7.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
We can use the rule for multiplying powers with the same base to simplify the left-hand side of the equation:
6⁹ × 6ˣ = 6⁽⁹⁺ˣ⁾
Now we can rewrite the equation as:
6⁽⁹⁺ˣ⁾ = 6²
Since the bases on both sides of the equation are the same, we can equate the exponents:
9 + x = 2
Subtracting 9 from both sides gives:
x = -7
Therefore, the value of x in the given equation is -7.
To learn more about the equation;
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The perimeter of a rectangular swimming pool is 56 meters. The width is 4 meters less than the length. What is the width of the swimming pool? 4 meters 4 meters 8 meters 8 meters 12 meters 12 meters 24 meters
Answer:
Length = 16 meters
Width = 12 meters
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Let
length = x
Width = (x - 4) meters
Perimeter of the rectangular pool = 56 meters
Perimeter of a rectangle = 2(length + width)
56 = 2{x + (x - 4)}
56 = 2(x + x - 4)
56 = 2(2x - 4)
56 = 4x - 8
56 + 8 = 4x
64 = 4x
x = 64/4
x = 16
length = x = 16 meters
Width = (x - 4) meters
= 16 - 4
= 12 meters
Which of the following is equivalent to 2/x + 3/x−1 for x>1 ?
pls explain
Answer:
Step-by-step explanation:
Help me with this question and do not answer unless you know the answer pls and thank you >:(
Answer:
1.5 * 1.5 = 2.25 sq miles
Step-by-step explanation:
1.5 * 1.5 = 2.25 sq miles
Plsss can someone answer the bottom question
Answer:
30
Step-by-step explanation:
[tex]\frac{75}{100} = \frac{x}{40}\\\\Cross- multiply:\\\\\\75*40=100x[/tex]
3000 = 100x
x = 30
Another way:
75/100 is in reality 3/4
and 3/4 of 40 = 30
40/4 = 10
10 * 3 = 30
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Tara looks up hotel room prices for a holiday.
A hotel has a 25% off sale on its prices.
A VAT charge of 20% must be added on at the end of the transaction after any discount.
If the regular price of a room is £90 per night, how much will Tara pay for 4 nights?
Answer:
Tara has to pay £324 for 4 nights
Step-by-step explanation:
Regular price of a room per night
= £90
Regular price of a room for 4 nights
= 90*4
= £360
Price of a room for 4 nights after discount
= 75% (360)
= 75/100 * 360 = 75 * 3.6
= £270
Price of the room after charging VAT
= 270 + 20%(270)
= 270 + 20/100 * 270
= 270 + 2 * 27
= 270 + 54
= £324
If a plane can travel 510 miles per hour with the wind and 410 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air.
Answer:
Below.
Step-by-step explanation:
Ok so, Since its 510 - x = 410. Speeds equals the wind.
SO?
100=2x
x=50
410+50 = 460!
Does the data below describe a linear,
quadratic, or exponential function?
Answer:
Quadratic.
Step-by-step explanation:
Both linear and exponential equations are monotone increasing or monotone decreasing functions.
This means that, as the input increases, the output will only increase or only decrease, but never both.
Here for our data, we can see that first we have:
x = -8
y = 13
Then x increases to x = -6, and y decreases to y = 9
Then x increases to x = -4 and y increases to y = 13
Then this function is not monotone increasing nor monotone decreasing, so the data can not describe a linear nor an exponential function.
Then the correct option is quadratic.
The table below represents a linear function f(x), and the equation represents a function g(x): X) -1, 0, 1 F(x) -5, -1, 3 G(x)=4x+3
Part A. Write a sentence to compare the slope of the two functions and shows the steps you used to determine the slope of f(x) and g(x)
Part B which functions has greater y-intercept. Justify
Answer:
(a) g(x) has a greater slope
(b) g(x) has a greater y intercept
Step-by-step explanation:
Given
[tex]x \to -1,0,1[/tex]
[tex]f(x) \to -5,-1,3[/tex]
[tex]g(x) = 4x + 3[/tex]
Solving (a): Compare the slopes
Slope (m) is calculated as:
[tex]m =\frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, for f(x), we have:
[tex]m =\frac{-1- 0}{-5- -1}[/tex]
[tex]m =\frac{-1}{-4}[/tex]
[tex]m =\frac{1}{4}[/tex]
For g(x), we have:
Assume [tex]g(x) = mx + c[/tex] then the slope is m
Compare the above to [tex]g(x) = 4x + 3[/tex]
Then the slope of g(x) is 4
g(x) has a greater slope
Solving (b): Function with greater y intercept
Here we set [tex]x= 0[/tex]
From the table of f(x)
[tex]f(x) = -1[/tex] when [tex]x = 0[/tex]
From [tex]g(x) = 4x + 3[/tex]
[tex]g(0) = 4 * 0 + 3[/tex]
[tex]g(0) = 3[/tex]
Hence:
g(x) has a greater y intercept
How do I answer number 1
Answer:
#1 Haley is correct and Lacey is incorrect
#2 Kenji is incorrect.
Step-by-step explanation:
#1. x^3 (x^2) = x^5 but this same law doesn't apply to addition of numbers with exponents.
#2 The law of exponents doesn't apply to numbers with different bases that are not multiples of each other such as 3 and 4, so Kenji's simplification is not correct.
f(x) = 3x + 2
What is (5)?
O A. 21
B. 17
C. 15
O D. 10
Sam has 24 ball he gives 1/3 to Rita. How many ball did he give to Rita?
Answer:
8
Step-by-step explanation:
Find 1/3 of 24, which is 8.
Answer:
Sam gave 8 balls to Rita.
Step-by-step explanation:
24 / 3 = 8
1/3 of 24 is 8, therefore Sam gave 8 balls to Rita.
please help me !!!!!!!
Answer:
(32;29) first thing is to find the gradient of that line and form some extra equation ( bodzatu ili
solve for x. Round to the nearest tenth, if necessary.
Answer:
7.1
Step-by-step explanation:
We used SOHCAHTOA because it's a right angle triangle
So because we have an angle with an adjacent of 6.3 and hypotenuse of x
We will use
Cos=adjacent /hypotenuse
A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and estimates the angle of elevation of the kite to be 65°. If the string is 350 ft long, how high is the kite above the ground? (Round your answer to the nearest foot.) ft
Answer: [tex]317.2\ ft[/tex]
Step-by-step explanation:
Given
Angle of elevation [tex]\theta=65^{\circ}[/tex]
Length of string [tex]L=350\ ft[/tex]
Suppose the height of kite from the ground level is h
from the figure, we can write
[tex]\Rightarrow \sin \theta=\dfrac{h}{L}\\\\\Rightarrow \sin 65^{\circ}=\dfrac{h}{350}\\\\\Rightarrow h=350\sin 65^{\circ}\\\Rightarrow h=317.2\ ft[/tex]